Finite Group Databasebeta

← C47×#18975 #26058673

Subgroups — C47×#18975 #26058673

Order 12032.

810 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3555C211yesmaximal, characteristic
2C47×#3255C211yesmaximal, characteristic, complemented
3C47×#3248C211yesmaximal, characteristic
4C47×#3231C211yesmaximal, characteristic, complemented
5C47×#1653C211yesmaximal, characteristic, complemented
6C47×#1652C211yesmaximal, characteristic, complemented
7C47×#1650C211yesmaximal, characteristic, complemented
8C47×#1648C211yesmaximal, characteristic, complemented
9C47×#1645C211yesmaximal, characteristic, complemented
10C47×#1645C211yesmaximal, characteristic, complemented
11C47×#1644C211yesmaximal, characteristic, complemented
12C47×#1643C211yesmaximal, characteristic, complemented
13C47×#1550C211yesmaximal, characteristic, complemented
14C47×#1495C211yesmaximal, characteristic
15C47×#1481C211yesmaximal, characteristic, complemented
16C47×#563—22no—
17Q82×C47C2211yescharacteristic
18C47×#557—21no—
19C47×#557C2211yescharacteristic
20C47×#556—21no—
21C47×#556—21no—
22C47×#556C2211yescharacteristic
23C47×#554C2211yescharacteristic
24C47×#552—21no—
25C47×#544—21no—
26C47×#542—21no—
27C47×#541—21no—
28C47×#541—21no—
29C47×#541—22no—
30C47×#533C2211yescharacteristic
31C47×#533C2211yescharacteristic
32C47×#533C2211yescharacteristic
33C47×#529C2211yescharacteristic
34C47×#500C2211yescharacteristic
35C47×#498C2211yescharacteristic
36C47×#487C2211yescharacteristic
37C47×#487C2211yescharacteristic
38C47×#485—22no—
39C47×#479—21no—
40C47×#479—22no—
41C47×#475—21no—
42C47×#475C2211yescharacteristic
43C47×#475C2211yescharacteristic
44C47×#475C2211yescharacteristic
45C47×#474C2211yescharacteristic
46C47×#470—21no—
47C47×#470—21no—
48C47×#467—21no—
49C47×#465—21no—
50C47×#464—21no—
51C47×#462—21no—
52C47×#462C2211yescharacteristic
53C47×#462C2211yescharacteristic
54C47×#462C2211yescharacteristic
55C47×#461C2211yescharacteristic
56C47×#431C2211yescharacteristic
57C47×#423C2211yescharacteristic
58C2×C4⋊C8×C47C2211yescharacteristic
59C47×#333C2211yescharacteristic
60C47×#333C2211yescharacteristic
61C47×#332C2211yescharacteristic
62C47×#332C2211yescharacteristic
63C47×Q8⋊C8C2211yescharacteristic
64C47×Q8⋊C8C2211yescharacteristic
65C47×Q8⋊C8C2211yescharacteristic
66C47×Q8⋊C8C2211yescharacteristic
67C47×Q8⋊C8C2211yescharacteristic
68C47×Q8⋊C8C2211yescharacteristic
69C47×D4⋊C8C2211yescharacteristic
70C47×D4⋊C8C2211yescharacteristic
71C2×Q16×C47—21no—
72C2×Q16×C47—21no—
73C2×Q16×C47—21no—
74C2×SD16×C47—21no—
75C2×M16×C47—21no—
76C22×C8×C47—21no—
77C4⋊Q8×C47—22no—
78C4⋊Q8×C47—21no—
79C4⋊Q8×C47—22no—
80C4⋊Q8×C47—21no—
81C4⋊Q8×C47—21no—
82C4⋊Q8×C47D411yescharacteristic
83C4⋊Q8×C47D411yescharacteristic
84C4⋊Q8×C47C2311yescharacteristic
85C4⋊Q8×C47C2311yescharacteristic
86C4⋊Q8×C47C2311yescharacteristic
87C4⋊Q8×C47C2311yescharacteristic
88#126×C47—22no—
89#126×C47—22no—
90#126×C47—22no—
91#126×C47—22no—
92#126×C47—22no—
93#126×C47—22no—
94#126×C47—21no—
95#125×C47—22no—
96#125×C47—22no—
97#125×C47—22no—
98#125×C47—22no—
99#125×C47—21no—
100#125×C47—22no—
101#125×C47—21no—
102#125×C47—21no—
103#125×C47—21no—
104#125×C47—21no—
105#125×C47D411yescharacteristic
106#124×C47—22no—
107#124×C47—21no—
108#124×C47D411yescharacteristic
109#123×C47—22no—
110#123×C47—21no—
111C22⋊Q8×C47—22no—
112C22⋊Q8×C47—22no—
113C22⋊Q8×C47—21no—
114C22⋊Q8×C47—21no—
115C22⋊Q8×C47—22no—
116C22⋊Q8×C47—21no—
117C22⋊Q8×C47—21no—
118C22⋊Q8×C47—21no—
119C22⋊Q8×C47—21no—
120C22⋊Q8×C47D411yescharacteristic
121C22⋊Q8×C47D411yescharacteristic
122C22⋊Q8×C47D411yescharacteristic
123C22⋊Q8×C47D412yes—
124#121×C47D411yescharacteristic
125C4×Q8×C47—22no—
126C4×Q8×C47—21no—
127C4×Q8×C47—21no—
128C4×Q8×C47—21no—
129C4×Q8×C47—21no—
130C4×Q8×C47—21no—
131C4×Q8×C47—21no—
132C4×Q8×C47—21no—
133C4×Q8×C47—21no—
134C4×Q8×C47—21no—
135C4×Q8×C47D412yes—
136C4×Q8×C47C2311yescharacteristic
137C4×Q8×C47C2311yescharacteristic
138C4×Q8×C47C2311yescharacteristic
139C4×D4×C47—21no—
140C4×D4×C47—21no—
141C4×D4×C47C2311yescharacteristic
142#117×C47—22no—
143#117×C47—21no—
144#117×C47—21no—
145#117×C47—21no—
146#117×C47—21no—
147#117×C47—21no—
148C2×C4⋊C4×C47—21no—
149C2×C42×C47C2311yescharacteristic
150#107×C47—21no—
151#107×C47—22no—
152#106×C47—21no—
153#106×C47—21no—
154#106×C47—21no—
155#106×C47—22no—
156C4⋊C8×C47—21no—
157C4⋊C8×C47—21no—
158C4⋊C8×C47—21no—
159C4⋊C8×C47C2311yescharacteristic
160C4⋊C8×C47C2311yescharacteristic
161C4⋊C8×C47C2311yescharacteristic
162C4⋊C8×C47C2311yescharacteristic
163#103×C47—21no—
164#103×C47—21no—
165#103×C47—21no—
166#103×C47—22no—
167#103×C47—22no—
168#103×C47—21no—
169#103×C47—21no—
170#103×C47—21no—
171#103×C47—21no—
172#102×C47—21no—
173C22⋊C8×C47—21no—
174C4×C8×C47C2311yescharacteristic
175C4×C8×C47C2311yescharacteristic
176C2×Q8×C47—22no—
177C2×Q8×C47—21no—
178C2×Q8×C47—21no—
179C2×Q8×C47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47C2×D411yescharacteristic
182C2×Q8×C47C2×D411yescharacteristic
183C2×Q8×C47C2×D411yescharacteristic
184C2×Q8×C47C2×D412yes—
185C2×D4×C47—21no—
186C2×D4×C47C2×D411yescharacteristic
187C22×C4×C47—22no—
188C22×C4×C47—21no—
189C22×C4×C47C2×D411yescharacteristic
190C22×C4×C47C2×D411yescharacteristic
191C22×C4×C47C2×D411yescharacteristic
192Q16×C47—81no—
193Q16×C47—81no—
194Q16×C47—81no—
195SD16×C47—81no—
196M16×C47—81no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47—21no—
203C2×C8×C47—81no—
204C4⋊C4×C47—22no—
205C4⋊C4×C47—22no—
206C4⋊C4×C47—22no—
207C4⋊C4×C47—22no—
208C4⋊C4×C47—22no—
209C4⋊C4×C47—22no—
210C4⋊C4×C47—22no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47—21no—
213C4⋊C4×C47—21no—
214C4⋊C4×C47—21no—
215C4⋊C4×C47—21no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—22no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—22no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47—21no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47—21no—
230C4⋊C4×C47—21no—
231C4⋊C4×C47—21no—
232C4⋊C4×C47—41no—
233C4⋊C4×C47—41no—
234C4⋊C4×C47C2×D411yescharacteristic
235C4⋊C4×C47C2×D411yescharacteristic
236C4⋊C4×C47C2×D411yescharacteristic
237C4⋊C4×C47C2×D411yescharacteristic
238C4⋊C4×C47C2×D412yes—
239C22⋊C4×C47—22no—
240C22⋊C4×C47—22no—
241C22⋊C4×C47—22no—
242C22⋊C4×C47—21no—
243C22⋊C4×C47—22no—
244C22⋊C4×C47—21no—
245C22⋊C4×C47—21no—
246C22⋊C4×C47—21no—
247C22⋊C4×C47—21no—
248C22⋊C4×C47—21no—
249C22⋊C4×C47—21no—
250C22⋊C4×C47—41no—
251C42×C47—22no—
252C42×C47—22no—
253C42×C47—22no—
254C42×C47—22no—
255C42×C47—21no—
256C42×C47—21no—
257C42×C47—21no—
258C42×C47—41no—
259C42×C47C2×D411yescharacteristic
260C42×C47C2×D411yescharacteristic
261C42×C47C2×D411yescharacteristic
262C42×C47C2411yescharacteristic
263C23×C47—21no—
264C23×C47#12011yescharacteristic
265Q8×C47—21no—
266Q8×C47—21no—
267Q8×C47—21no—
268Q8×C47—21no—
269Q8×C47—21no—
270Q8×C47—21no—
271Q8×C47—42no—
272Q8×C47—41no—
273Q8×C47—41no—
274Q8×C47—41no—
275Q8×C47—41no—
276Q8×C47—41no—
277Q8×C47—41no—
278Q8×C47—81no—
279Q8×C47—82no—
280D4×C47—21no—
281D4×C47—21no—
282D4×C47—81no—
283C2×C4×C47—21no—
284C2×C4×C47—21no—
285C2×C4×C47—21no—
286C2×C4×C47—21no—
287C2×C4×C47—21no—
288C2×C4×C47—21no—
289C2×C4×C47—21no—
290C2×C4×C47—22no—
291C2×C4×C47—21no—
292C2×C4×C47—21no—
293C2×C4×C47—21no—
294C2×C4×C47—22no—
295C2×C4×C47—21no—
296C2×C4×C47—41no—
297C2×C4×C47—41no—
298C2×C4×C47—41no—
299C2×C4×C47—41no—
300C2×C4×C47—41no—
301C2×C4×C47—82no—
302C2×C4×C47#12011yescharacteristic
303C2×C4×C47#12011yescharacteristic
304C2×C4×C47#12011yescharacteristic
305C2×C4×C47C22×D411yescharacteristic
306C2×C4×C47C22×D411yescharacteristic
307C2×C4×C47C22×D411yescharacteristic
308C8×C47—41no—
309C8×C47—41no—
310C8×C47—41no—
311C8×C47—41no—
312C8×C47—41no—
313C8×C47—41no—
314#18975C4711yesmaximal, characteristic, direct product factor, Sylow
315C22×C47—21no—
316C22×C47—21no—
317C22×C47—21no—
318C22×C47—41no—
319C22×C47—41no—
320C22×C47—41no—
321C22×C47C2×#12011yescharacteristic
322C4×C47—21no—
323C4×C47—21no—
324C4×C47—21no—
325C4×C47—21no—
326C4×C47—41no—
327C4×C47—41no—
328C4×C47—41no—
329C4×C47—41no—
330C4×C47—42no—
331C4×C47—41no—
332C4×C47—42no—
333C4×C47—41no—
334C4×C47—41no—
335C4×C47—81no—
336C4×C47—81no—
337C4×C47#57711yescharacteristic
338C4×C47#57711yescharacteristic
339C4×C47#57811yescharacteristic
340C4×C47#57811yescharacteristic
341#3555C2×C4711yescharacteristic
342#3255C2×C4711yescharacteristic, complemented
343#3248C2×C4711yescharacteristic
344#3231C2×C4711yescharacteristic, complemented
345#1653C2×C4711yescharacteristic, complemented
346#1652C2×C4711yescharacteristic, complemented
347#1650C2×C4711yescharacteristic, complemented
348#1648C2×C4711yescharacteristic, complemented
349#1645C2×C4711yescharacteristic, complemented
350#1645C2×C4711yescharacteristic, complemented
351#1644C2×C4711yescharacteristic, complemented
352#1643C2×C4711yescharacteristic, complemented
353#1550C2×C4711yescharacteristic, complemented
354#1495C2×C4711yescharacteristic
355#1481C2×C4711yescharacteristic, complemented
356C2×C47—41no—
357C2×C47—81no—
358C2×C47#301311yescharacteristic
359C2×C47#301311yescharacteristic
360C2×C47#302211yescharacteristic
361#563—22no—
362Q82C22×C4711yescharacteristic
363#557—21no—
364#557C22×C4711yescharacteristic
365#556—21no—
366#556—21no—
367#556C22×C4711yescharacteristic
368#554C22×C4711yescharacteristic
369#552—21no—
370#544—21no—
371#542—21no—
372#541—21no—
373#541—21no—
374#541—22no—
375#533C22×C4711yescharacteristic
376#533C22×C4711yescharacteristic
377#533C22×C4711yescharacteristic
378#529C22×C4711yescharacteristic
379#500C22×C4711yescharacteristic
380#498C22×C4711yescharacteristic
381#487C22×C4711yescharacteristic
382#487C22×C4711yescharacteristic
383#485—22no—
384#479—21no—
385#479—22no—
386#475—21no—
387#475C22×C4711yescharacteristic
388#475C22×C4711yescharacteristic
389#475C22×C4711yescharacteristic
390#474C22×C4711yescharacteristic
391#470—21no—
392#470—21no—
393#467—21no—
394#465—21no—
395#464—21no—
396#462—21no—
397#462C22×C4711yescharacteristic
398#462C22×C4711yescharacteristic
399#462C22×C4711yescharacteristic
400#461C22×C4711yescharacteristic
401#431C22×C4711yescharacteristic
402#423C22×C4711yescharacteristic
403C2×C4⋊C8C22×C4711yescharacteristic
404#333C22×C4711yescharacteristic
405#333C22×C4711yescharacteristic
406#332C22×C4711yescharacteristic
407#332C22×C4711yescharacteristic
408Q8⋊C8C22×C4711yescharacteristic
409Q8⋊C8C22×C4711yescharacteristic
410Q8⋊C8C22×C4711yescharacteristic
411Q8⋊C8C22×C4711yescharacteristic
412Q8⋊C8C22×C4711yescharacteristic
413Q8⋊C8C22×C4711yescharacteristic
414D4⋊C8C22×C4711yescharacteristic
415D4⋊C8C22×C4711yescharacteristic
416C47#1897511yescharacteristic, direct product factor, Sylow
417C2×Q16—21no—
418C2×Q16—21no—
419C2×Q16—21no—
420C2×SD16—21no—
421C2×M16—21no—
422C22×C8—21no—
423C4⋊Q8—22no—
424C4⋊Q8—21no—
425C4⋊Q8—22no—
426C4⋊Q8—21no—
427C4⋊Q8—21no—
428C4⋊Q8D4×C4711yescharacteristic
429C4⋊Q8D4×C4711yescharacteristic
430C4⋊Q8C23×C4711yescharacteristic
431C4⋊Q8C23×C4711yescharacteristic
432C4⋊Q8C23×C4711yescharacteristic
433C4⋊Q8C23×C4711yescharacteristic
434#126—22no—
435#126—22no—
436#126—22no—
437#126—22no—
438#126—22no—
439#126—22no—
440#126—21no—
441#125—22no—
442#125—22no—
443#125—22no—
444#125—22no—
445#125—21no—
446#125—22no—
447#125—21no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125D4×C4711yescharacteristic
452#124—22no—
453#124—21no—
454#124D4×C4711yescharacteristic
455#123—22no—
456#123—21no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—22no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8D4×C4711yescharacteristic
467C22⋊Q8D4×C4711yescharacteristic
468C22⋊Q8D4×C4711yescharacteristic
469C22⋊Q8D4×C4712yes—
470#121D4×C4711yescharacteristic
471C4×Q8—22no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8—21no—
479C4×Q8—21no—
480C4×Q8—21no—
481C4×Q8D4×C4712yes—
482C4×Q8C23×C4711yescharacteristic
483C4×Q8C23×C4711yescharacteristic
484C4×Q8C23×C4711yescharacteristic
485C4×D4—21no—
486C4×D4—21no—
487C4×D4C23×C4711yescharacteristic
488#117—22no—
489#117—21no—
490#117—21no—
491#117—21no—
492#117—21no—
493#117—21no—
494C2×C4⋊C4—21no—
495C2×C42C23×C4711yescharacteristic
496#107—21no—
497#107—22no—
498#106—21no—
499#106—21no—
500#106—21no—
501#106—22no—
502C4⋊C8—21no—
503C4⋊C8—21no—
504C4⋊C8—21no—
505C4⋊C8C23×C4711yescharacteristic
506C4⋊C8C23×C4711yescharacteristic
507C4⋊C8C23×C4711yescharacteristic
508C4⋊C8C23×C4711yescharacteristic
509#103—21no—
510#103—21no—
511#103—21no—
512#103—22no—
513#103—22no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—21no—
518#102—21no—
519C22⋊C8—21no—
520C4×C8C23×C4711yescharacteristic
521C4×C8C23×C4711yescharacteristic
522C2×Q8—22no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8C2×D4×C4711yescharacteristic
528C2×Q8C2×D4×C4711yescharacteristic
529C2×Q8C2×D4×C4711yescharacteristic
530C2×Q8C2×D4×C4712yes—
531C2×D4—21no—
532C2×D4C2×D4×C4711yescharacteristic
533C22×C4—22no—
534C22×C4—21no—
535C22×C4C2×D4×C4711yescharacteristic
536C22×C4C2×D4×C4711yescharacteristic
537C22×C4C2×D4×C4711yescharacteristic
538Q16—81no—
539Q16—81no—
540Q16—81no—
541SD16—81no—
542M16—81no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—81no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4C2×D4×C4711yescharacteristic
581C4⋊C4C2×D4×C4711yescharacteristic
582C4⋊C4C2×D4×C4711yescharacteristic
583C4⋊C4C2×D4×C4711yescharacteristic
584C4⋊C4C2×D4×C4712yes—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—21no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—21no—
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—41no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—41no—
605C42C2×D4×C4711yescharacteristic
606C42C2×D4×C4711yescharacteristic
607C42C2×D4×C4711yescharacteristic
608C42C24×C4711yescharacteristic
609C23—21no—
610C23#120×C4711yescharacteristic
611Q8—21no—
612Q8—21no—
613Q8—21no—
614Q8—21no—
615Q8—21no—
616Q8—21no—
617Q8—42no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—81no—
625Q8—82no—
626D4—21no—
627D4—21no—
628D4—81no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—82no—
648C2×C4#120×C4711yescharacteristic
649C2×C4#120×C4711yescharacteristic
650C2×C4#120×C4711yescharacteristic
651C2×C4C22×D4×C4711yescharacteristic
652C2×C4C22×D4×C4711yescharacteristic
653C2×C4C22×D4×C4711yescharacteristic
654C8—41no—
655C8—41no—
656C8—41no—
657C8—41no—
658C8—41no—
659C8—41no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22C2×#120×C4711yescharacteristic
667C4—21no—
668C4—21no—
669C4—21no—
670C4—21no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—81no—
682C4C47×#57711yescharacteristic
683C4C47×#57711yescharacteristic
684C4C47×#57811yescharacteristic
685C4C47×#57811yescharacteristic
686C2—41no—
687C2—81no—
688C2C47×#301311yescharacteristic
689C2C47×#301311yescharacteristic
690C2C47×#302211yescharacteristic
subgroupG/H
center, socleC22×C47C2×#120
commutator, Frattini, cosocleC42C24×C47
prime radical#121×C47D4
LCSG ▷ C42 ▷ 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×#3255C2semidirect
4. C47×#3231C2semidirect
5. C47×#1653C2semidirect
6. C47×#1652C2semidirect
7. C47×#1650C2semidirect
8. C47×#1648C2semidirect
9. C47×#1645C2semidirect
10. C47×#1645C2semidirect
11. C47×#1644C2semidirect
12. C47×#1643C2semidirect
13. C47×#1550C2semidirect
15. C47×#1481C2semidirect
314. #18975C47direct (N × H)
342. #3255C2×C47semidirect
344. #3231C2×C47semidirect
345. #1653C2×C47semidirect
346. #1652C2×C47semidirect
347. #1650C2×C47semidirect
348. #1648C2×C47semidirect
349. #1645C2×C47semidirect
350. #1645C2×C47semidirect
351. #1644C2×C47semidirect
352. #1643C2×C47semidirect
353. #1550C2×C47semidirect
355. #1481C2×C47semidirect
416. C47#18975direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35552
C47×#32552
C47×#32482
C47×#32312
C47×#16532
C47×#16522
C47×#16502
C47×#16482
C47×#16452
C47×#16442
C47×#16432
C47×#15502
C47×#14952
C47×#14812
#1897547