Finite Group Databasebeta

← C47×#19772 #26059470

Subgroups — C47×#19772 #26059470

Order 12032.

710 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3330C211yesmaximal, characteristic, complemented
2C47×#3294C211yesmaximal, characteristic, complemented
3C47×#3294C211yesmaximal, characteristic, complemented
4C47×#3283C211yesmaximal, characteristic, complemented
5C47×#1720C211yesmaximal, characteristic, complemented
6C47×#1701C211yesmaximal, characteristic, complemented
7C47×#1681C211yesmaximal, characteristic, complemented
8C47×#1679C211yesmaximal, characteristic, complemented
9C47×#1669C211yesmaximal, characteristic, complemented
10C47×#1654C211yesmaximal, characteristic, complemented
11C47×#1654C211yesmaximal, characteristic, complemented
12C47×#1639C211yesmaximal, characteristic, complemented
13C47×#1625C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C2×#135×C47—21no—
17C47×#547C2211yescharacteristic
18C47×#547C2211yescharacteristic
19C47×#547C2211yescharacteristic, complemented
20D42×C47C2211yescharacteristic
21C47×#498C2211yescharacteristic, complemented
22C47×#494C2211yescharacteristic, complemented
23C47×#487C2211yescharacteristic, complemented
24C47×#486C2211yescharacteristic
25C47×#486C2211yescharacteristic
26C47×#486C2211yescharacteristic
27C47×#484—21no—
28C47×#480—21no—
29C47×#480—21no—
30C47×#474C2211yescharacteristic
31C47×#474C2211yescharacteristic
32C47×#474C2211yescharacteristic
33C47×#468—21no—
34C47×#467—21no—
35C47×#466—21no—
36C47×#466—21no—
37C47×#461C2211yescharacteristic
38C47×#461C2211yescharacteristic, complemented
39C47×#461C2211yescharacteristic, complemented
40C47×#459C2211yescharacteristic
41C47×#459C2211yescharacteristic
42C47×#452—21no—
43C47×#452—21no—
44C47×#449—21no—
45C47×#447—21no—
46C47×#447—21no—
47C4×D8×C47C2211yescharacteristic
48C4×D8×C47C2211yescharacteristic
49C47×#436C2211yescharacteristic, complemented
50C8×D4×C47C2211yescharacteristic
51C8×D4×C47C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic, complemented
53C47×#417—21no—
54C2×#102×C47—21no—
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#332C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic
62C47×D4⋊C8C2211yescharacteristic
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C2×#41×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72#135×C47—44no—
73C2×Q16×C47—21no—
74C2×Q16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47D411yescharacteristic
81C2×D8×C47D411yescharacteristic
82C2×M16×C47—21no—
83C22×C8×C47—21no—
84C22×C8×C47—21no—
85C22×C8×C47—21no—
86C4⋊Q8×C47C2311yescharacteristic
87C4⋊Q8×C47C2311yescharacteristic
88C4⋊Q8×C47C2311yescharacteristic
89#127×C47C2311yescharacteristic
90#123×C47—41no—
91#123×C47—41no—
92#123×C47—41no—
93C22⋊Q8×C47—21no—
94C22⋊Q8×C47—21no—
95C22⋊Q8×C47—21no—
96#121×C47—21no—
97#121×C47—21no—
98#121×C47—21no—
99#121×C47—21no—
100#121×C47—21no—
101#120×C47—41no—
102C4×D4×C47C2311yescharacteristic
103C4×D4×C47C2311yescharacteristic
104C4×D4×C47C2311yescharacteristic
105C4×D4×C47C2311yescharacteristic
106C2×C4⋊C4×C47—21no—
107C2×C4⋊C4×C47—21no—
108C2×C4⋊C4×C47—21no—
109#107×C47—21no—
110#107×C47—21no—
111#107×C47—21no—
112#107×C47D411yescharacteristic
113#107×C47D411yescharacteristic
114#106×C47—41no—
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×C47—21no—
123#103×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—41no—
134#102×C47D411yescharacteristic
135#102×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138C22⋊C8×C47—21no—
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141C22⋊C8×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—42no—
149#41×C47—81no—
150#41×C47—81no—
151#41×C47—81no—
152C2×Q8×C47—21no—
153C2×Q8×C47—21no—
154C2×Q8×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—41no—
159C2×D4×C47—41no—
160C2×D4×C47—42no—
161C2×D4×C47—42no—
162C2×D4×C47—41no—
163C2×D4×C47—41no—
164C2×D4×C47—41no—
165C2×D4×C47—81no—
166C2×D4×C47—81no—
167C2×D4×C47C2×D411yescharacteristic
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—21no—
175C22×C4×C47—41no—
176C22×C4×C47—41no—
177C22×C4×C47—41no—
178Q16×C47—42no—
179Q16×C47—81no—
180SD16×C47—42no—
181SD16×C47—42no—
182SD16×C47—81no—
183D8×C47—22no—
184D8×C47—22no—
185D8×C47—81no—
186D8×C47—81no—
187M16×C47—81no—
188C2×C8×C47—21no—
189C2×C8×C47—21no—
190C2×C8×C47—21no—
191C2×C8×C47—21no—
192C2×C8×C47—21no—
193C2×C8×C47—42no—
194C2×C8×C47—81no—
195C2×C8×C47—81no—
196C2×C8×C47C2×D411yescharacteristic
197C2×C8×C47C2×D411yescharacteristic
198C2×C8×C47C2×D411yescharacteristic
199C2×C8×C47C2×D411yescharacteristic
200C4⋊C4×C47—21no—
201C4⋊C4×C47—21no—
202C4⋊C4×C47—21no—
203C4⋊C4×C47—21no—
204C4⋊C4×C47—21no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47—41no—
207C4⋊C4×C47—41no—
208C4⋊C4×C47—41no—
209C4⋊C4×C47C2×D411yescharacteristic
210C4⋊C4×C47C2×D411yescharacteristic
211C4⋊C4×C47C2×D411yescharacteristic
212C4⋊C4×C47C2×D411yescharacteristic
213C22⋊C4×C47—21no—
214C22⋊C4×C47—21no—
215C22⋊C4×C47—21no—
216C22⋊C4×C47—21no—
217C22⋊C4×C47—41no—
218C22⋊C4×C47—41no—
219C22⋊C4×C47—41no—
220C22⋊C4×C47—41no—
221C42×C47C2411yescharacteristic
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—41no—
227C23×C47—82no—
228C23×C47—82no—
229C23×C47—161no—
230Q8×C47—41no—
231Q8×C47—41no—
232Q8×C47—41no—
233Q8×C47—41no—
234Q8×C47—41no—
235Q8×C47—41no—
236D4×C47—21no—
237D4×C47—21no—
238D4×C47—21no—
239D4×C47—21no—
240D4×C47—21no—
241D4×C47—21no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—41no—
245D4×C47—41no—
246D4×C47—81no—
247D4×C47—82no—
248D4×C47—82no—
249D4×C47—82no—
250D4×C47—82no—
251D4×C47—82no—
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—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—82no—
270C2×C4×C47—82no—
271C2×C4×C47—82no—
272C2×C4×C47C22×D411yescharacteristic
273C2×C4×C47C22×D411yescharacteristic
274C2×C4×C47H(5,𝔽2)11yescharacteristic
275C8×C47—21no—
276C8×C47—21no—
277C8×C47—21no—
278C8×C47—21no—
279C8×C47—41no—
280C8×C47—41no—
281C8×C47—41no—
282C8×C47—41no—
283C8×C47—41no—
284#19772C4711yesmaximal, characteristic, direct product factor, Sylow
285C22×C47—22no—
286C22×C47—22no—
287C22×C47—41no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47—81no—
300C22×C47—164no—
301C22×C47D4211yescharacteristic
302C4×C47—21no—
303C4×C47—41no—
304C4×C47—41no—
305C4×C47—41no—
306C4×C47—41no—
307C4×C47—81no—
308C4×C47—81no—
309C4×C47—81no—
310C4×C47C2×#13511yescharacteristic
311C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
312C4×C47#57611yescharacteristic
313C4×C47#57611yescharacteristic
314#3330C2×C4711yescharacteristic, complemented
315#3294C2×C4711yescharacteristic, complemented
316#3294C2×C4711yescharacteristic, complemented
317#3283C2×C4711yescharacteristic, complemented
318#1720C2×C4711yescharacteristic, complemented
319#1701C2×C4711yescharacteristic, complemented
320#1681C2×C4711yescharacteristic, complemented
321#1679C2×C4711yescharacteristic, complemented
322#1669C2×C4711yescharacteristic, complemented
323#1654C2×C4711yescharacteristic, complemented
324#1654C2×C4711yescharacteristic, complemented
325#1639C2×C4711yescharacteristic, complemented
326#1625C2×C4711yescharacteristic, complemented
327#1581C2×C4711yescharacteristic, complemented
328#1580C2×C4711yescharacteristic, complemented
329C2×C47—42no—
330C2×C47—42no—
331C2×C47—81no—
332C2×C47—81no—
333C2×C47—161no—
334C2×C47#326411yescharacteristic
335C2×C47#328011yescharacteristic
336C2×C47#328911yescharacteristic
337C2×#135—21no—
338#547C22×C4711yescharacteristic
339#547C22×C4711yescharacteristic
340#547C22×C4711yescharacteristic, complemented
341D42C22×C4711yescharacteristic
342#498C22×C4711yescharacteristic, complemented
343#494C22×C4711yescharacteristic, complemented
344#487C22×C4711yescharacteristic, complemented
345#486C22×C4711yescharacteristic
346#486C22×C4711yescharacteristic
347#486C22×C4711yescharacteristic
348#484—21no—
349#480—21no—
350#480—21no—
351#474C22×C4711yescharacteristic
352#474C22×C4711yescharacteristic
353#474C22×C4711yescharacteristic
354#468—21no—
355#467—21no—
356#466—21no—
357#466—21no—
358#461C22×C4711yescharacteristic
359#461C22×C4711yescharacteristic, complemented
360#461C22×C4711yescharacteristic, complemented
361#459C22×C4711yescharacteristic
362#459C22×C4711yescharacteristic
363#452—21no—
364#452—21no—
365#449—21no—
366#447—21no—
367#447—21no—
368C4×D8C22×C4711yescharacteristic
369C4×D8C22×C4711yescharacteristic
370#436C22×C4711yescharacteristic, complemented
371C8×D4C22×C4711yescharacteristic
372C8×D4C22×C4711yescharacteristic
373C8×D4C22×C4711yescharacteristic, complemented
374#417—21no—
375C2×#102—21no—
376C2×#102—21no—
377#335C22×C4711yescharacteristic, complemented
378#334C22×C4711yescharacteristic, complemented
379#332C22×C4711yescharacteristic, complemented
380#332C22×C4711yescharacteristic, complemented
381#332C22×C4711yescharacteristic, complemented
382#331C22×C4711yescharacteristic
383D4⋊C8C22×C4711yescharacteristic
384D4⋊C8C22×C4711yescharacteristic
385D4⋊C8C22×C4711yescharacteristic, complemented
386D4⋊C8C22×C4711yescharacteristic, complemented
387#322C22×C4711yescharacteristic, complemented
388C47#1977211yescharacteristic, direct product factor, Sylow
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394#135—44no—
395C2×Q16—21no—
396C2×Q16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8D4×C4711yescharacteristic
403C2×D8D4×C4711yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C4711yescharacteristic
409C4⋊Q8C23×C4711yescharacteristic
410C4⋊Q8C23×C4711yescharacteristic
411#127C23×C4711yescharacteristic
412#123—41no—
413#123—41no—
414#123—41no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—21no—
423#120—41no—
424C4×D4C23×C4711yescharacteristic
425C4×D4C23×C4711yescharacteristic
426C4×D4C23×C4711yescharacteristic
427C4×D4C23×C4711yescharacteristic
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C4711yescharacteristic
435#107D4×C4711yescharacteristic
436#106—41no—
437C4⋊C8C23×C4711yescharacteristic
438C4⋊C8C23×C4711yescharacteristic
439C4⋊C8C23×C4711yescharacteristic
440C4⋊C8C23×C4711yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103—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
459#102D4×C4711yescharacteristic
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464C4×C8C23×C4711yescharacteristic
465C4×C8C23×C4711yescharacteristic
466C4×C8C23×C4711yescharacteristic
467C24—41no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C4711yescharacteristic
490C2×D4C2×D4×C4711yescharacteristic
491C2×D4C2×D4×C4711yescharacteristic
492C2×D4C2×D4×C4711yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500Q16—42no—
501Q16—81no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505D8—22no—
506D8—22no—
507D8—81no—
508D8—81no—
509M16—81no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—42no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C4711yescharacteristic
519C2×C8C2×D4×C4711yescharacteristic
520C2×C8C2×D4×C4711yescharacteristic
521C2×C8C2×D4×C4711yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C4711yescharacteristic
532C4⋊C4C2×D4×C4711yescharacteristic
533C4⋊C4C2×D4×C4711yescharacteristic
534C4⋊C4C2×D4×C4711yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42C24×C4711yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4#135×C4712yescomplemented
575D4AGL(1,ℤ/8)×C4712yes—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
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—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C4711yescharacteristic
595C2×C4C22×D4×C4711yescharacteristic
596C2×C4H(5,𝔽2)×C4711yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C4711yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×#135×C4711yescharacteristic
632C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
633C4C47×#57611yescharacteristic
634C4C47×#57611yescharacteristic
635C2—42no—
636C2—42no—
637C2—81no—
638C2—81no—
639C2—161no—
640C2C47×#326411yescharacteristic
641C2C47×#328011yescharacteristic
642C2C47×#328911yescharacteristic
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×#3330C2semidirect
2. C47×#3294C2semidirect
3. C47×#3294C2semidirect
4. C47×#3283C2semidirect
5. C47×#1720C2semidirect
6. C47×#1701C2semidirect
7. C47×#1681C2semidirect
8. C47×#1679C2semidirect
9. C47×#1669C2semidirect
10. C47×#1654C2semidirect
11. C47×#1654C2semidirect
12. C47×#1639C2semidirect
13. C47×#1625C2semidirect
14. C47×#1581C2semidirect
15. C47×#1580C2semidirect
19. C47×#547C22semidirect
21. C47×#498C22semidirect
22. C47×#494C22semidirect
23. C47×#487C22semidirect
38. C47×#461C22semidirect
39. C47×#461C22semidirect
49. C47×#436C22semidirect
52. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#332C22semidirect
59. C47×#332C22semidirect
60. C47×#332C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
252. D4×C47#135semidirect
284. #19772C47direct (N × H)
314. #3330C2×C47semidirect
315. #3294C2×C47semidirect
316. #3294C2×C47semidirect
317. #3283C2×C47semidirect
318. #1720C2×C47semidirect
319. #1701C2×C47semidirect
320. #1681C2×C47semidirect
321. #1679C2×C47semidirect
322. #1669C2×C47semidirect
323. #1654C2×C47semidirect
324. #1654C2×C47semidirect
325. #1639C2×C47semidirect
326. #1625C2×C47semidirect
327. #1581C2×C47semidirect
328. #1580C2×C47semidirect
340. #547C22×C47semidirect
342. #498C22×C47semidirect
343. #494C22×C47semidirect
344. #487C22×C47semidirect
359. #461C22×C47semidirect
360. #461C22×C47semidirect
370. #436C22×C47semidirect
373. C8×D4C22×C47semidirect
377. #335C22×C47semidirect
378. #334C22×C47semidirect
379. #332C22×C47semidirect
380. #332C22×C47semidirect
381. #332C22×C47semidirect
385. D4⋊C8C22×C47semidirect
386. D4⋊C8C22×C47semidirect
387. #322C22×C47semidirect
388. C47#19772direct (N × H)
574. D4#135×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33302
C47×#32942
C47×#32832
C47×#17202
C47×#17012
C47×#16812
C47×#16792
C47×#16692
C47×#16542
C47×#16392
C47×#16252
C47×#15812
C47×#15802
#1977247