Finite Group Databasebeta

← C47×#18273 #26057971

Subgroups — C47×#18273 #26057971

Order 12032.

1002 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3558C211yesmaximal, characteristic
2C47×#3112C211yesmaximal, characteristic, complemented
3C47×#3108C211yesmaximal, characteristic, complemented
4C47×#2592C211yesmaximal, characteristic, complemented
5C47×#1612C212yesmaximal, complemented
6C47×#1607C212yesmaximal, complemented
7C47×#1606C212yesmaximal, complemented
8C47×#1601C212yesmaximal, complemented
9C47×#1509C211yesmaximal, characteristic, complemented
10C47×#1502C211yesmaximal, characteristic, complemented
11C47×#1469C211yesmaximal, characteristic, complemented
12C47×#562—21no—
13C47×H(3,𝔽4)—21no—
14C47×#559—21no—
15C47×#548—21no—
16C47×#546—21no—
17C47×#546—22no—
18D42×C47—21no—
19C47×#542—21no—
20C47×#538—22no—
21C47×#538C2212yes—
22C47×#535—21no—
23C47×#534C2212yes—
24C47×#532C2211yescharacteristic
25C47×#529C2211yescharacteristic
26C2×#124×C47C2211yescharacteristic
27C2×C4×Q8×C47C2211yescharacteristic, complemented
28C47×#483C2211yescharacteristic, complemented
29C47×#480C2211yescharacteristic
30C47×#480C2212yescomplemented
31C47×#479—21no—
32C47×#477—21no—
33C47×#464—21no—
34C47×#460—21no—
35C47×#451C2211yescharacteristic, complemented
36C47×#448C2211yescharacteristic
37C47×#448C2212yescomplemented
38C47×#440—22no—
39C4×Q16×C47—21no—
40C4×SD16×C47—21no—
41C47×#432C2211yescharacteristic, complemented
42C47×#431C2211yescharacteristic, complemented
43C47×#397C2212yescomplemented
44C47×#393C2212yescomplemented
45C47×#391—21no—
46C47×#390—21no—
47C47×#388—22no—
48C4×C4⋊C4×C47C2211yescharacteristic, complemented
49C47×#328C2212yescomplemented
50C47×#327C2212yes—
51C47×#327C2212yescomplemented
52C47×#327C2212yescomplemented
53C47×#323C2212yescomplemented
54C47×#323C2212yescomplemented
55C2×#41×C47—21no—
56C2×#41×C47—21no—
57C22×Q8×C47D411yescharacteristic
58C22×Q8×C47C2311yescharacteristic
59C22×D4×C47—21no—
60C22×D4×C47—22no—
61C22×D4×C47D411yescharacteristic
62C2×Q16×C47—21no—
63C2×SD16×C47—22no—
64C2×SD16×C47—21no—
65C4⋊Q8×C47D411yescharacteristic
66#127×C47—21no—
67#127×C47D411yescharacteristic
68#126×C47—22no—
69#126×C47—21no—
70#125×C47D411yescharacteristic
71#124×C47—21no—
72#124×C47—22no—
73#124×C47—22no—
74#124×C47—22no—
75#124×C47—21no—
76#124×C47—21no—
77#124×C47—21no—
78#124×C47—21no—
79#124×C47—21no—
80#124×C47D411yescharacteristic
81#123×C47—22no—
82#123×C47—21no—
83#123×C47—22no—
84#123×C47—22no—
85#123×C47—22no—
86C22⋊Q8×C47—22no—
87C22⋊Q8×C47—21no—
88C22⋊Q8×C47—22no—
89C22⋊Q8×C47C2311yescharacteristic
90#121×C47—22no—
91#121×C47—22no—
92#121×C47—22no—
93#121×C47—21no—
94#121×C47—22no—
95#121×C47—21no—
96#121×C47—22no—
97#121×C47C2311yescharacteristic
98#121×C47C2312yes—
99#120×C47—22no—
100#120×C47—22no—
101#120×C47—22no—
102#120×C47—22no—
103#120×C47—22no—
104C4×Q8×C47—21no—
105C4×Q8×C47—21no—
106C4×Q8×C47—21no—
107C4×Q8×C47—21no—
108C4×Q8×C47—21no—
109C4×Q8×C47D411yescharacteristic
110C4×D4×C47—22no—
111C4×D4×C47—21no—
112C4×D4×C47—21no—
113C4×D4×C47—22no—
114C4×D4×C47—21no—
115C4×D4×C47D411yescharacteristic
116C4×D4×C47D412yes—
117#117×C47—21no—
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C22⋊C4×C47—22no—
122C2×C22⋊C4×C47—22no—
123C2×C22⋊C4×C47—22no—
124C2×C22⋊C4×C47D412yes—
125C2×C22⋊C4×C47C2312yes—
126C2×C42×C47—21no—
127C2×C42×C47—21no—
128C2×C42×C47C2311yescharacteristic
129#107×C47—22no—
130#107×C47—21no—
131#106×C47—21no—
132C4⋊C8×C47—21no—
133C4⋊C8×C47—21no—
134#103×C47—21no—
135#103×C47—21no—
136#103×C47—22no—
137#103×C47—21no—
138#102×C47—22no—
139#102×C47—21no—
140C22⋊C8×C47C2311yescharacteristic
141C22⋊C8×C47C2312yes—
142C22⋊C8×C47C2311yescharacteristic
143#97×C47—21no—
144C4×C8×C47—21no—
145#95×C47—22no—
146#95×C47—22no—
147#95×C47C2312yes—
148C24×C47—22no—
149C24×C47C2×D412yes—
150#41×C47—81no—
151#41×C47—81no—
152#41×C47—82no—
153C2×Q8×C47—21no—
154C2×Q8×C47—21no—
155C2×Q8×C47—21no—
156C2×Q8×C47—21no—
157C2×Q8×C47—21no—
158C2×Q8×C47—42no—
159C2×Q8×C47—42no—
160C2×Q8×C47C2×D411yescharacteristic
161C2×D4×C47—22no—
162C2×D4×C47—21no—
163C2×D4×C47—22no—
164C2×D4×C47—22no—
165C2×D4×C47—22no—
166C2×D4×C47—22no—
167C2×D4×C47—22no—
168C2×D4×C47—21no—
169C2×D4×C47—21no—
170C2×D4×C47—21no—
171C2×D4×C47—21no—
172C2×D4×C47—42no—
173C2×D4×C47—82no—
174C2×D4×C47—82no—
175C2×D4×C47—82no—
176C2×D4×C47C2×D411yescharacteristic
177C2×D4×C47C2×D412yes—
178C22×C4×C47—21no—
179C22×C4×C47—22no—
180C22×C4×C47—22no—
181C22×C4×C47—21no—
182C22×C4×C47—22no—
183C22×C4×C47—21no—
184C22×C4×C47—22no—
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2×D412yes—
188C22×C4×C47C2411yescharacteristic
189Q16×C47—42no—
190SD16×C47—44no—
191SD16×C47—42no—
192C2×C8×C47—21no—
193C2×C8×C47—22no—
194C2×C8×C47—21no—
195C4⋊C4×C47—22no—
196C4⋊C4×C47—22no—
197C4⋊C4×C47—21no—
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—42no—
205C4⋊C4×C47—41no—
206C4⋊C4×C47—41no—
207C4⋊C4×C47C2×D411yescharacteristic
208C4⋊C4×C47C2×D412yes—
209C4⋊C4×C47C2×D411yescharacteristic
210C22⋊C4×C47—22no—
211C22⋊C4×C47—22no—
212C22⋊C4×C47—22no—
213C22⋊C4×C47—22no—
214C22⋊C4×C47—22no—
215C22⋊C4×C47—21no—
216C22⋊C4×C47—21no—
217C22⋊C4×C47—22no—
218C22⋊C4×C47—22no—
219C22⋊C4×C47—21no—
220C22⋊C4×C47—21no—
221C22⋊C4×C47—22no—
222C22⋊C4×C47—22no—
223C22⋊C4×C47—22no—
224C22⋊C4×C47—21no—
225C22⋊C4×C47—22no—
226C22⋊C4×C47—44no—
227C22⋊C4×C47—82no—
228C42×C47—22no—
229C42×C47—21no—
230C42×C47—41no—
231C42×C47—41no—
232C42×C47—81no—
233C42×C47C2×D411yescharacteristic
234C42×C47C2×D411yescharacteristic
235C42×C47C2×D411yescharacteristic
236C42×C47C2×D411yescharacteristic
237C23×C47—22no—
238C23×C47—21no—
239C23×C47—22no—
240C23×C47—22no—
241C23×C47—22no—
242C23×C47—42no—
243C23×C47—42no—
244C23×C47—82no—
245C23×C47—82no—
246C23×C47—82no—
247C23×C47C22×D411yescharacteristic
248Q8×C47—22no—
249Q8×C47—22no—
250Q8×C47—41no—
251Q8×C47—41no—
252Q8×C47—41no—
253Q8×C47—42no—
254Q8×C47—81no—
255Q8×C47—81no—
256D4×C47—42no—
257D4×C47—41no—
258D4×C47—41no—
259D4×C47—42no—
260D4×C47—41no—
261D4×C47—42no—
262D4×C47—42no—
263D4×C47—42no—
264D4×C47—81no—
265D4×C47—81no—
266D4×C47—82no—
267D4×C47—82no—
268D4×C47—82no—
269D4×C47—82no—
270D4×C47—82no—
271C2×C4×C47—21no—
272C2×C4×C47—21no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—21no—
276C2×C4×C47—22no—
277C2×C4×C47—22no—
278C2×C4×C47—21no—
279C2×C4×C47—21no—
280C2×C4×C47—41no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47—42no—
286C2×C4×C47—42no—
287C2×C4×C47—41no—
288C2×C4×C47—42no—
289C2×C4×C47—41no—
290C2×C4×C47—41no—
291C2×C4×C47—82no—
292C2×C4×C47—82no—
293C2×C4×C47—82no—
294C2×C4×C47#12011yescharacteristic
295C2×C4×C47#12011yescharacteristic
296C2×C4×C47#12011yescharacteristic
297C2×C4×C47#12011yescharacteristic
298C2×C4×C47C22×D411yescharacteristic
299C2×C4×C47C22×D411yescharacteristic
300C8×C47—42no—
301C8×C47—41no—
302C8×C47—41no—
303#18273C4711yesmaximal, characteristic, direct product factor, Sylow
304C22×C47—21no—
305C22×C47—21no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—41no—
309C22×C47—41no—
310C22×C47—42no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47—41no—
314C22×C47—42no—
315C22×C47—82no—
316C22×C47—82no—
317C22×C47—164no—
318C22×C47C2×#12011yescharacteristic
319C22×C47#57611yescharacteristic
320C22×C47#57711yescharacteristic
321C4×C47—21no—
322C4×C47—21no—
323C4×C47—21no—
324C4×C47—21no—
325C4×C47—21no—
326C4×C47—41no—
327C4×C47—42no—
328C4×C47—41no—
329C4×C47—42no—
330C4×C47—42no—
331C4×C47—41no—
332C4×C47—82no—
333C4×C47—81no—
334C4×C47#45512yes—
335#3558C2×C4711yescharacteristic
336#3112C2×C4711yescharacteristic, complemented
337#3108C2×C4711yescharacteristic, complemented
338#2592C2×C4711yescharacteristic, complemented
339#1612C2×C4712yescomplemented
340#1607C2×C4712yescomplemented
341#1606C2×C4712yescomplemented
342#1601C2×C4712yescomplemented
343#1509C2×C4711yescharacteristic, complemented
344#1502C2×C4711yescharacteristic, complemented
345#1469C2×C4711yescharacteristic, complemented
346C2×C47—21no—
347C2×C47—21no—
348C2×C47—82no—
349C2×C47—82no—
350C2×C47—81no—
351C2×C47#301211yescharacteristic
352C2×C47C2×#45511yescharacteristic
353C2×C47#302511yescharacteristic
354#562—21no—
355H(3,𝔽4)—21no—
356#559—21no—
357#548—21no—
358#546—21no—
359#546—22no—
360D42—21no—
361#542—21no—
362#538—22no—
363#538C22×C4712yes—
364#535—21no—
365#534C22×C4712yes—
366#532C22×C4711yescharacteristic
367#529C22×C4711yescharacteristic
368C2×#124C22×C4711yescharacteristic
369C2×C4×Q8C22×C4711yescharacteristic, complemented
370#483C22×C4711yescharacteristic, complemented
371#480C22×C4711yescharacteristic
372#480C22×C4712yescomplemented
373#479—21no—
374#477—21no—
375#464—21no—
376#460—21no—
377#451C22×C4711yescharacteristic, complemented
378#448C22×C4711yescharacteristic
379#448C22×C4712yescomplemented
380#440—22no—
381C4×Q16—21no—
382C4×SD16—21no—
383#432C22×C4711yescharacteristic, complemented
384#431C22×C4711yescharacteristic, complemented
385#397C22×C4712yescomplemented
386#393C22×C4712yescomplemented
387#391—21no—
388#390—21no—
389#388—22no—
390C4×C4⋊C4C22×C4711yescharacteristic, complemented
391#328C22×C4712yescomplemented
392#327C22×C4712yes—
393#327C22×C4712yescomplemented
394#327C22×C4712yescomplemented
395#323C22×C4712yescomplemented
396#323C22×C4712yescomplemented
397C47#1827311yescharacteristic, direct product factor, Sylow
398C2×#41—21no—
399C2×#41—21no—
400C22×Q8D4×C4711yescharacteristic
401C22×Q8C23×C4711yescharacteristic
402C22×D4—21no—
403C22×D4—22no—
404C22×D4D4×C4711yescharacteristic
405C2×Q16—21no—
406C2×SD16—21no—
407C2×SD16—22no—
408C4⋊Q8D4×C4711yescharacteristic
409#127—21no—
410#127D4×C4711yescharacteristic
411#126—22no—
412#126—21no—
413#125D4×C4711yescharacteristic
414#124—21no—
415#124—22no—
416#124—22no—
417#124—22no—
418#124—21no—
419#124—21no—
420#124—21no—
421#124—21no—
422#124—21no—
423#124D4×C4711yescharacteristic
424#123—22no—
425#123—21no—
426#123—22no—
427#123—22no—
428#123—22no—
429C22⋊Q8—22no—
430C22⋊Q8—21no—
431C22⋊Q8—22no—
432C22⋊Q8C23×C4711yescharacteristic
433#121—22no—
434#121—22no—
435#121—22no—
436#121—21no—
437#121—22no—
438#121—21no—
439#121—22no—
440#121C23×C4711yescharacteristic
441#121C23×C4712yes—
442#120—22no—
443#120—22no—
444#120—22no—
445#120—22no—
446#120—22no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8D4×C4711yescharacteristic
453C4×D4—22no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—22no—
457C4×D4—21no—
458C4×D4D4×C4711yescharacteristic
459C4×D4D4×C4712yes—
460#117—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4C23×C4711yescharacteristic
464C2×C22⋊C4—22no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4D4×C4712yes—
468C2×C22⋊C4C23×C4712yes—
469C2×C42—21no—
470C2×C42—21no—
471C2×C42C23×C4711yescharacteristic
472#107—21no—
473#107—22no—
474#106—21no—
475C4⋊C8—21no—
476C4⋊C8—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—22no—
481#102—21no—
482#102—22no—
483C22⋊C8C23×C4712yes—
484C22⋊C8C23×C4711yescharacteristic
485C22⋊C8C23×C4711yescharacteristic
486#97—21no—
487C4×C8—21no—
488#95—22no—
489#95—22no—
490#95C23×C4712yes—
491C24—22no—
492C24C2×D4×C4712yes—
493#41—81no—
494#41—81no—
495#41—82no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—42no—
502C2×Q8—42no—
503C2×Q8C2×D4×C4711yescharacteristic
504C2×D4—22no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—82no—
517C2×D4—82no—
518C2×D4—82no—
519C2×D4C2×D4×C4711yescharacteristic
520C2×D4C2×D4×C4712yes—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4C2×D4×C4711yescharacteristic
529C22×C4C2×D4×C4711yescharacteristic
530C22×C4C2×D4×C4712yes—
531C22×C4C24×C4711yescharacteristic
532Q16—42no—
533SD16—44no—
534SD16—42no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4C2×D4×C4711yescharacteristic
551C4⋊C4C2×D4×C4712yes—
552C4⋊C4C2×D4×C4711yescharacteristic
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—44no—
570C22⋊C4—82no—
571C42—22no—
572C42—21no—
573C42—41no—
574C42—41no—
575C42—81no—
576C42C2×D4×C4711yescharacteristic
577C42C2×D4×C4711yescharacteristic
578C42C2×D4×C4711yescharacteristic
579C42C2×D4×C4711yescharacteristic
580C23—22no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—82no—
588C23—82no—
589C23—82no—
590C23C22×D4×C4711yescharacteristic
591Q8—22no—
592Q8—22no—
593Q8—41no—
594Q8—41no—
595Q8—41no—
596Q8—42no—
597Q8—81no—
598Q8—81no—
599D4—42no—
600D4—41no—
601D4—41no—
602D4—42no—
603D4—41no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—81no—
608D4—81no—
609D4—82no—
610D4—82no—
611D4—82no—
612D4—82no—
613D4—82no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4#120×C4711yescharacteristic
638C2×C4#120×C4711yescharacteristic
639C2×C4#120×C4711yescharacteristic
640C2×C4#120×C4711yescharacteristic
641C2×C4C22×D4×C4711yescharacteristic
642C2×C4C22×D4×C4711yescharacteristic
643C8—42no—
644C8—41no—
645C8—41no—
646C22—21no—
647C22—21no—
648C22—42no—
649C22—42no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—42no—
657C22—82no—
658C22—82no—
659C22—164no—
660C22C2×#120×C4711yescharacteristic
661C22C47×#57611yescharacteristic
662C22C47×#57711yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—41no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—42no—
673C4—41no—
674C4—82no—
675C4—81no—
676C4C47×#45512yes—
677C2—21no—
678C2—21no—
679C2—82no—
680C2—81no—
681C2—82no—
682C2C47×#301211yescharacteristic
683C2C2×C47×#45511yescharacteristic
684C2C47×#302511yescharacteristic
subgroupG/H
center, socleC22×C47C2×#120
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC47×#3558C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C2×C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#3112C2semidirect
3. C47×#3108C2semidirect
4. C47×#2592C2semidirect
5. C47×#1612C2semidirect
6. C47×#1607C2semidirect
7. C47×#1606C2semidirect
8. C47×#1601C2semidirect
9. C47×#1509C2semidirect
10. C47×#1502C2semidirect
11. C47×#1469C2semidirect
27. C2×C4×Q8×C47C22semidirect
28. C47×#483C22semidirect
30. C47×#480C22semidirect
35. C47×#451C22semidirect
37. C47×#448C22semidirect
41. C47×#432C22semidirect
42. C47×#431C22semidirect
43. C47×#397C22semidirect
44. C47×#393C22semidirect
48. C4×C4⋊C4×C47C22semidirect
49. C47×#328C22semidirect
51. C47×#327C22semidirect
52. C47×#327C22semidirect
53. C47×#323C22semidirect
54. C47×#323C22semidirect
303. #18273C47direct (N × H)
336. #3112C2×C47semidirect
337. #3108C2×C47semidirect
338. #2592C2×C47semidirect
339. #1612C2×C47semidirect
340. #1607C2×C47semidirect
341. #1606C2×C47semidirect
342. #1601C2×C47semidirect
343. #1509C2×C47semidirect
344. #1502C2×C47semidirect
345. #1469C2×C47semidirect
369. C2×C4×Q8C22×C47semidirect
370. #483C22×C47semidirect
372. #480C22×C47semidirect
377. #451C22×C47semidirect
379. #448C22×C47semidirect
383. #432C22×C47semidirect
384. #431C22×C47semidirect
385. #397C22×C47semidirect
386. #393C22×C47semidirect
390. C4×C4⋊C4C22×C47semidirect
391. #328C22×C47semidirect
393. #327C22×C47semidirect
394. #327C22×C47semidirect
395. #323C22×C47semidirect
396. #323C22×C47semidirect
397. C47#18273direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35582
C47×#31122
C47×#31082
C47×#25922
C47×#16122
C47×#16072
C47×#16062
C47×#16012
C47×#15092
C47×#15022
C47×#14692
#1827347