Finite Group Databasebeta

← C47×#19773 #26059471

Subgroups — C47×#19773 #26059471

Order 12032.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3360C211yesmaximal, characteristic, complemented
2C47×#3324C211yesmaximal, characteristic, complemented
3C47×#3295C211yesmaximal, characteristic, complemented
4D4×D8×C47C211yesmaximal, characteristic
5C47×#1717C211yesmaximal, characteristic, complemented
6C47×#1697C211yesmaximal, characteristic, complemented
7C47×#1683C211yesmaximal, characteristic, complemented
8C47×#1681C211yesmaximal, characteristic, complemented
9C47×#1668C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1629C211yesmaximal, characteristic, complemented
12C47×#1628C211yesmaximal, characteristic, complemented
13C47×#1622C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×SD16⋊C8C211yesmaximal, characteristic, complemented
16C22×D8×C47—21no—
17C47×#556C2211yescharacteristic, complemented
18C47×#554C2211yescharacteristic, complemented
19D42×C47C2211yescharacteristic
20D42×C47C2211yescharacteristic
21C47×#493C2211yescharacteristic
22C47×#492C2211yescharacteristic, complemented
23C47×#488—21no—
24C47×#487C2211yescharacteristic, complemented
25C47×#486C2211yescharacteristic, complemented
26C47×#486C2211yescharacteristic, complemented
27C47×#486C2211yescharacteristic, complemented
28C47×#482—21no—
29C47×#481—21no—
30C47×#479—21no—
31C47×#476C2211yescharacteristic
32C47×#476C2211yescharacteristic, complemented
33C47×#474C2211yescharacteristic
34C47×#468—21no—
35C47×#466—21no—
36C47×#465—21no—
37C47×#463—21no—
38C47×#461C2211yescharacteristic, complemented
39C47×#460C2211yescharacteristic, complemented
40C47×#460C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#450—21no—
44C47×#450—21no—
45C47×#447—21no—
46C47×#447—21no—
47C8×Q8×C47C2211yescharacteristic, complemented
48C4×SD16×C47—21no—
49C4×SD16×C47C2211yescharacteristic
50C4×D8×C47C2211yescharacteristic
51C47×#436C2211yescharacteristic, complemented
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic, complemented
54C47×#418—21no—
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#335C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic, complemented
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C22×D4×C47—21no—
68C22×D4×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C2×SD16×C47—21no—
72C2×SD16×C47—21no—
73C2×SD16×C47—21no—
74C2×SD16×C47—41no—
75C2×SD16×C47D411yescharacteristic
76C2×D8×C47—21no—
77C2×D8×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47—44no—
81C2×D8×C47D411yescharacteristic
82C2×M16×C47—21no—
83C22×C8×C47—21no—
84C22×C8×C47—21no—
85C4⋊Q8×C47C2311yescharacteristic
86C4⋊Q8×C47C2311yescharacteristic
87#127×C47C2311yescharacteristic
88#127×C47C2311yescharacteristic
89#126×C47—41no—
90#125×C47—21no—
91#124×C47—21no—
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#120×C47—41no—
100#120×C47—41no—
101C4×Q8×C47—21no—
102C4×Q8×C47C2311yescharacteristic
103C4×D4×C47—21no—
104C4×D4×C47C2311yescharacteristic
105C4×D4×C47C2311yescharacteristic
106C4×D4×C47C2311yescharacteristic
107#117×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—21no—
121#103×C47—21no—
122#103×C47D411yescharacteristic
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—41no—
135#102×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138C22⋊C8×C47—21no—
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141C4×C8×C47—21no—
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C24×C47—41no—
146C24×C47—41no—
147C2×Q8×C47—21no—
148C2×Q8×C47—21no—
149C2×Q8×C47C2×D411yescharacteristic
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—41no—
157C2×D4×C47—41no—
158C2×D4×C47—41no—
159C2×D4×C47—41no—
160C2×D4×C47—42no—
161C2×D4×C47—42no—
162C2×D4×C47—42no—
163C2×D4×C47—42no—
164C2×D4×C47—81no—
165C2×D4×C47—81no—
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—
175SD16×C47—22no—
176SD16×C47—42no—
177SD16×C47—81no—
178SD16×C47—81no—
179SD16×C47—82no—
180D8×C47—22no—
181D8×C47—42no—
182D8×C47—42no—
183D8×C47—42no—
184D8×C47—81no—
185M16×C47—81no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47—21no—
189C2×C8×C47—21no—
190C2×C8×C47—21no—
191C2×C8×C47—42no—
192C2×C8×C47—81no—
193C2×C8×C47C2×D411yescharacteristic
194C2×C8×C47C2×D411yescharacteristic
195C2×C8×C47C2×D411yescharacteristic
196C2×C8×C47C2×D411yescharacteristic
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47—21no—
200C4⋊C4×C47—21no—
201C4⋊C4×C47—21no—
202C4⋊C4×C47—41no—
203C4⋊C4×C47—41no—
204C4⋊C4×C47—41no—
205C4⋊C4×C47C2×D411yescharacteristic
206C4⋊C4×C47C2×D411yescharacteristic
207C4⋊C4×C47C2×D411yescharacteristic
208C4⋊C4×C47C2×D411yescharacteristic
209C22⋊C4×C47—21no—
210C22⋊C4×C47—21no—
211C22⋊C4×C47—21no—
212C22⋊C4×C47—41no—
213C22⋊C4×C47—41no—
214C22⋊C4×C47—41no—
215C22⋊C4×C47—41no—
216C22⋊C4×C47—41no—
217C42×C47—21no—
218C42×C47—41no—
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—82no—
228C23×C47—82no—
229C23×C47—161no—
230C23×C47—161no—
231Q8×C47—21no—
232Q8×C47—21no—
233Q8×C47—41no—
234Q8×C47—41no—
235Q8×C47—81no—
236D4×C47—21no—
237D4×C47—21no—
238D4×C47—21no—
239D4×C47—21no—
240D4×C47—41no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—41no—
245D4×C47—41no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—81no—
249D4×C47—81no—
250D4×C47—82no—
251D4×C47—82no—
252D4×C47—82no—
253D4×C47—82no—
254D4×C47#13512yes—
255D4×C47AGL(1,ℤ/8)12yes—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
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—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#19773C4711yesmaximal, 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×C47—164no—
300C22×C47D4211yescharacteristic
301C4×C47—21no—
302C4×C47—41no—
303C4×C47—41no—
304C4×C47—41no—
305C4×C47—41no—
306C4×C47—41no—
307C4×C47—81no—
308C4×C47—81no—
309C4×C47C2×#13511yescharacteristic
310C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C47#57611yescharacteristic
312C4×C47#57711yescharacteristic
313#3360C2×C4711yescharacteristic, complemented
314#3324C2×C4711yescharacteristic, complemented
315#3295C2×C4711yescharacteristic, complemented
316D4×D8C2×C4711yescharacteristic
317#1717C2×C4711yescharacteristic, complemented
318#1697C2×C4711yescharacteristic, complemented
319#1683C2×C4711yescharacteristic, complemented
320#1681C2×C4711yescharacteristic, complemented
321#1668C2×C4711yescharacteristic, complemented
322#1639C2×C4711yescharacteristic, complemented
323#1629C2×C4711yescharacteristic, complemented
324#1628C2×C4711yescharacteristic, complemented
325#1622C2×C4711yescharacteristic, complemented
326#1581C2×C4711yescharacteristic, complemented
327SD16⋊C8C2×C4711yescharacteristic, complemented
328C2×C47—42no—
329C2×C47—42no—
330C2×C47—81no—
331C2×C47—161no—
332C2×C47—161no—
333C2×C47#326511yescharacteristic
334C2×C47#328011yescharacteristic
335C2×C47#328811yescharacteristic
336C22×D8—21no—
337#556C22×C4711yescharacteristic, complemented
338#554C22×C4711yescharacteristic, complemented
339D42C22×C4711yescharacteristic
340D42C22×C4711yescharacteristic
341#493C22×C4711yescharacteristic
342#492C22×C4711yescharacteristic, complemented
343#488—21no—
344#487C22×C4711yescharacteristic, complemented
345#486C22×C4711yescharacteristic, complemented
346#486C22×C4711yescharacteristic, complemented
347#486C22×C4711yescharacteristic, complemented
348#482—21no—
349#481—21no—
350#479—21no—
351#476C22×C4711yescharacteristic
352#476C22×C4711yescharacteristic, complemented
353#474C22×C4711yescharacteristic
354#468—21no—
355#466—21no—
356#465—21no—
357#463—21no—
358#461C22×C4711yescharacteristic, complemented
359#460C22×C4711yescharacteristic, complemented
360#460C22×C4711yescharacteristic, complemented
361#459C22×C4711yescharacteristic
362#459C22×C4711yescharacteristic
363#450—21no—
364#450—21no—
365#447—21no—
366#447—21no—
367C8×Q8C22×C4711yescharacteristic, complemented
368C4×SD16—21no—
369C4×SD16C22×C4711yescharacteristic
370C4×D8C22×C4711yescharacteristic
371#436C22×C4711yescharacteristic, complemented
372C8×D4C22×C4711yescharacteristic
373C8×D4C22×C4711yescharacteristic, complemented
374#418—21no—
375C2×#102—21no—
376#335C22×C4711yescharacteristic, complemented
377#335C22×C4711yescharacteristic, complemented
378#333C22×C4711yescharacteristic, complemented
379#332C22×C4711yescharacteristic, complemented
380#331C22×C4711yescharacteristic, complemented
381#331C22×C4711yescharacteristic, complemented
382Q8⋊C8C22×C4711yescharacteristic, complemented
383D4⋊C8C22×C4711yescharacteristic
384D4⋊C8C22×C4711yescharacteristic, complemented
385D4⋊C8C22×C4711yescharacteristic, complemented
386#322C22×C4711yescharacteristic, complemented
387C47#1977311yescharacteristic, direct product factor, Sylow
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16D4×C4711yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—44no—
402C2×D8D4×C4711yescharacteristic
403C2×M16—21no—
404C22×C8—21no—
405C22×C8—21no—
406C4⋊Q8C23×C4711yescharacteristic
407C4⋊Q8C23×C4711yescharacteristic
408#127C23×C4711yescharacteristic
409#127C23×C4711yescharacteristic
410#126—41no—
411#125—21no—
412#124—21no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—41no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#120—41no—
421#120—41no—
422C4×Q8—21no—
423C4×Q8C23×C4711yescharacteristic
424C4×D4—21no—
425C4×D4C23×C4711yescharacteristic
426C4×D4C23×C4711yescharacteristic
427C4×D4C23×C4711yescharacteristic
428#117—21no—
429C2×C4⋊C4—21no—
430#107—21no—
431#107D4×C4711yescharacteristic
432#106—21no—
433#106—21no—
434#106D4×C4711yescharacteristic
435C4⋊C8—21no—
436C4⋊C8C23×C4711yescharacteristic
437C4⋊C8C23×C4711yescharacteristic
438C4⋊C8C23×C4711yescharacteristic
439C4⋊C8C23×C4711yescharacteristic
440#103—21no—
441#103—21no—
442#103—21no—
443#103D4×C4711yescharacteristic
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#102—41no—
456#102D4×C4711yescharacteristic
457#102D4×C4711yescharacteristic
458#102D4×C4711yescharacteristic
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C4×C8—21no—
463C4×C8C23×C4711yescharacteristic
464C4×C8C23×C4711yescharacteristic
465C4×C8C23×C4711yescharacteristic
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C4711yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C4711yescharacteristic
490C2×D4C2×D4×C4711yescharacteristic
491C2×D4C2×D4×C4711yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C4711yescharacteristic
515C2×C8C2×D4×C4711yescharacteristic
516C2×C8C2×D4×C4711yescharacteristic
517C2×C8C2×D4×C4711yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C4711yescharacteristic
527C4⋊C4C2×D4×C4711yescharacteristic
528C4⋊C4C2×D4×C4711yescharacteristic
529C4⋊C4C2×D4×C4711yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C4711yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4#135×C4712yes—
576D4AGL(1,ℤ/8)×C4712yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
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—161no—
591C2×C4C22×D4×C4711yescharacteristic
592C2×C4C22×D4×C4711yescharacteristic
593C2×C4H(5,𝔽2)×C4711yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C4711yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×#135×C4711yescharacteristic
630C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
631C4C47×#57611yescharacteristic
632C4C47×#57711yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2C47×#326511yescharacteristic
639C2C47×#328011yescharacteristic
640C2C47×#328811yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
prime radicalD4×D8×C47C2
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×#3360C2semidirect
2. C47×#3324C2semidirect
3. C47×#3295C2semidirect
5. C47×#1717C2semidirect
6. C47×#1697C2semidirect
7. C47×#1683C2semidirect
8. C47×#1681C2semidirect
9. C47×#1668C2semidirect
10. C47×#1639C2semidirect
11. C47×#1629C2semidirect
12. C47×#1628C2semidirect
13. C47×#1622C2semidirect
14. C47×#1581C2semidirect
15. C47×SD16⋊C8C2semidirect
17. C47×#556C22semidirect
18. C47×#554C22semidirect
22. C47×#492C22semidirect
24. C47×#487C22semidirect
25. C47×#486C22semidirect
26. C47×#486C22semidirect
27. C47×#486C22semidirect
32. C47×#476C22semidirect
38. C47×#461C22semidirect
39. C47×#460C22semidirect
40. C47×#460C22semidirect
47. C8×Q8×C47C22semidirect
51. C47×#436C22semidirect
53. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#335C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
62. C47×Q8⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
282. #19773C47direct (N × H)
313. #3360C2×C47semidirect
314. #3324C2×C47semidirect
315. #3295C2×C47semidirect
317. #1717C2×C47semidirect
318. #1697C2×C47semidirect
319. #1683C2×C47semidirect
320. #1681C2×C47semidirect
321. #1668C2×C47semidirect
322. #1639C2×C47semidirect
323. #1629C2×C47semidirect
324. #1628C2×C47semidirect
325. #1622C2×C47semidirect
326. #1581C2×C47semidirect
327. SD16⋊C8C2×C47semidirect
337. #556C22×C47semidirect
338. #554C22×C47semidirect
342. #492C22×C47semidirect
344. #487C22×C47semidirect
345. #486C22×C47semidirect
346. #486C22×C47semidirect
347. #486C22×C47semidirect
352. #476C22×C47semidirect
358. #461C22×C47semidirect
359. #460C22×C47semidirect
360. #460C22×C47semidirect
367. C8×Q8C22×C47semidirect
371. #436C22×C47semidirect
373. C8×D4C22×C47semidirect
376. #335C22×C47semidirect
377. #335C22×C47semidirect
378. #333C22×C47semidirect
379. #332C22×C47semidirect
380. #331C22×C47semidirect
381. #331C22×C47semidirect
382. Q8⋊C8C22×C47semidirect
384. D4⋊C8C22×C47semidirect
385. D4⋊C8C22×C47semidirect
386. #322C22×C47semidirect
387. C47#19773direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#33602
C47×#33242
C47×#32952
D4×D8×C472
C47×#17172
C47×#16972
C47×#16832
C47×#16812
C47×#16682
C47×#16392
C47×#16292
C47×#16282
C47×#16222
C47×#15812
C47×SD16⋊C82
#1977347