Finite Group Databasebeta

← C47×#18418 #26058116

Subgroups — C47×#18418 #26058116

Order 12032.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3537C211yesmaximal, characteristic, complemented
2C47×#3192C211yesmaximal, characteristic, complemented
3C47×#3188C211yesmaximal, characteristic, complemented
4C47×#2656C211yesmaximal, characteristic, complemented
5C47×#1618C212yesmaximal, complemented
6C47×#1613C212yesmaximal, complemented
7C47×#1600C212yesmaximal, complemented
8C47×#1595C212yesmaximal, complemented
9C47×#1504C211yesmaximal, characteristic, complemented
10C2×C47×#327C211yesmaximal, characteristic, complemented
11C47×#1471C211yesmaximal, characteristic, complemented
12C47×#560—22no—
13C47×#553—21no—
14C47×#553—21no—
15D42×C47—22no—
16D42×C47—21no—
17D42×C47—21no—
18C47×#540—21no—
19C47×#538—21no—
20C47×#538C2212yes—
21C47×#535—21no—
22C47×#534—21no—
23C47×#534C2212yes—
24C47×#525C2211yescharacteristic
25C2×#121×C47—22no—
26C2×#121×C47C2211yescharacteristic
27C2×#121×C47C2211yescharacteristic
28C2×#121×C47C2211yescharacteristic, complemented
29C47×#484C2211yescharacteristic, complemented
30C47×#482—21no—
31C47×#481—21no—
32C47×#481C2211yescharacteristic, complemented
33C47×#481C2212yescomplemented
34C47×#469—22no—
35C47×#466—21no—
36C47×#465—21no—
37C47×#450C2211yescharacteristic, complemented
38C47×#449—21no—
39C47×#447—21no—
40C47×#447C2211yescharacteristic, complemented
41C47×#447C2212yescomplemented
42C47×#407C2211yescharacteristic, complemented
43C2×C22⋊C8×C47C2211yescharacteristic, complemented
44C47×#399—21no—
45C47×#399C2212yescomplemented
46C47×#392—21no—
47C47×#392C2212yescomplemented
48C2×#95×C47C2211yescharacteristic, complemented
49C47×#328C2212yescomplemented
50C47×#327C2212yescomplemented
51C47×#327C2212yescomplemented
52C47×#327C2212yescomplemented
53C47×#323C2212yescomplemented
54C47×#323C2212yescomplemented
55C2×#41×C47D411yescharacteristic, complemented
56C22×D4×C47—22no—
57C22×D4×C47—21no—
58C22×D4×C47—21no—
59C22×D4×C47—22no—
60C22×D4×C47—21no—
61C22×D4×C47—22no—
62C22×D4×C47D412yes—
63C22×D4×C47D411yescharacteristic
64C22×D4×C47D411yescharacteristic, complemented
65C22×D4×C47C2311yescharacteristic
66C23×C4×C47—21no—
67C23×C4×C47C2311yescharacteristic
68C2×SD16×C47—21no—
69C2×D8×C47—21no—
70C2×D8×C47—22no—
71C2×M16×C47—21no—
72C22×C8×C47—21no—
73#127×C47—22no—
74#127×C47—21no—
75#126×C47—22no—
76#126×C47—22no—
77#125×C47—21no—
78#124×C47—22no—
79#123×C47—22no—
80#123×C47—21no—
81#123×C47—22no—
82#123×C47—22no—
83#123×C47—22no—
84C22⋊Q8×C47D411yescharacteristic, complemented
85C22⋊Q8×C47C2311yescharacteristic
86#121×C47—22no—
87#121×C47—21no—
88#121×C47—21no—
89#121×C47—22no—
90#121×C47—22no—
91#121×C47—22no—
92#121×C47—22no—
93#121×C47—21no—
94#121×C47—21no—
95#121×C47—21no—
96#121×C47—21no—
97#121×C47—21no—
98#121×C47—21no—
99#121×C47—22no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×C47—21no—
104#121×C47—48no—
105#121×C47D411yescharacteristic, complemented
106#121×C47D412yescomplemented
107#121×C47C2312yes—
108#121×C47C2311yescharacteristic
109#120×C47—22no—
110#120×C47—22no—
111#120×C47—22no—
112#120×C47—21no—
113#120×C47—22no—
114#120×C47—22no—
115#120×C47—22no—
116C4×D4×C47—22no—
117C4×D4×C47—21no—
118C4×D4×C47—21no—
119C4×D4×C47—21no—
120C4×D4×C47—21no—
121C4×D4×C47—22no—
122#117×C47—21no—
123#117×C47D411yescharacteristic, complemented
124C2×C4⋊C4×C47—22no—
125C2×C4⋊C4×C47D411yescharacteristic
126C2×C4⋊C4×C47D411yescharacteristic, complemented
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C22⋊C4×C47—21no—
129C2×C22⋊C4×C47—22no—
130C2×C22⋊C4×C47—22no—
131C2×C22⋊C4×C47—21no—
132C2×C22⋊C4×C47C2312yes—
133#107×C47—21no—
134#106×C47—21no—
135#106×C47—22no—
136#103×C47—21no—
137#102×C47—21no—
138#102×C47—22no—
139#102×C47—21no—
140#102×C47—21no—
141#102×C47—22no—
142C22⋊C8×C47—21no—
143C22⋊C8×C47—21no—
144C22⋊C8×C47C2311yescharacteristic
145C22⋊C8×C47C2312yes—
146C22⋊C8×C47C2311yescharacteristic
147#95×C47—21no—
148#95×C47C2312yes—
149C24×C47—22no—
150C24×C47—21no—
151C24×C47—21no—
152C24×C47C2×D411yescharacteristic
153C24×C47C2×D412yes—
154#41×C47—81no—
155C2×Q8×C47C2×D411yescharacteristic
156C2×D4×C47—22no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—22no—
160C2×D4×C47—22no—
161C2×D4×C47—22no—
162C2×D4×C47—22no—
163C2×D4×C47—22no—
164C2×D4×C47—22no—
165C2×D4×C47—21no—
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—21no—
173C2×D4×C47—44no—
174C2×D4×C47—44no—
175C2×D4×C47—44no—
176C2×D4×C47—41no—
177C2×D4×C47—41no—
178C2×D4×C47—81no—
179C2×D4×C47—81no—
180C2×D4×C47—82no—
181C2×D4×C47—81no—
182C2×D4×C47—82no—
183C2×D4×C47—82no—
184C2×D4×C47—81no—
185C2×D4×C47—81no—
186C2×D4×C47—82no—
187C2×D4×C47—82no—
188C2×D4×C47—84no—
189C2×D4×C47C2×D411yescharacteristic
190C2×D4×C47C2×D412yes—
191C22×C4×C47—22no—
192C22×C4×C47—22no—
193C22×C4×C47—22no—
194C22×C4×C47—24no—
195C22×C4×C47—21no—
196C22×C4×C47—21no—
197C22×C4×C47—21no—
198C22×C4×C47—81no—
199C22×C4×C47—81no—
200C22×C4×C47—81no—
201C22×C4×C47C2×D412yes—
202C22×C4×C47C2×D411yescharacteristic
203C22×C4×C47C2×D411yescharacteristic
204C22×C4×C47C2×D411yescharacteristic
205C22×C4×C47C2×D411yescharacteristic
206C22×C4×C47C2×D411yescharacteristic
207C22×C4×C47C2411yescharacteristic
208SD16×C47—81no—
209D8×C47—81no—
210D8×C47—82no—
211M16×C47—81no—
212C2×C8×C47—21no—
213C2×C8×C47—21no—
214C2×C8×C47—22no—
215C2×C8×C47—81no—
216C4⋊C4×C47—22no—
217C4⋊C4×C47—22no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—44no—
226C4⋊C4×C47C2×D412yes—
227C4⋊C4×C47C2×D411yescharacteristic
228C4⋊C4×C47C2×D411yescharacteristic
229C22⋊C4×C47—22no—
230C22⋊C4×C47—22no—
231C22⋊C4×C47—22no—
232C22⋊C4×C47—22no—
233C22⋊C4×C47—22no—
234C22⋊C4×C47—21no—
235C22⋊C4×C47—21no—
236C22⋊C4×C47—21no—
237C22⋊C4×C47—22no—
238C22⋊C4×C47—21no—
239C22⋊C4×C47—22no—
240C22⋊C4×C47—22no—
241C22⋊C4×C47—22no—
242C22⋊C4×C47—21no—
243C22⋊C4×C47—44no—
244C22⋊C4×C47—44no—
245C22⋊C4×C47—41no—
246C22⋊C4×C47—41no—
247C42×C47—22no—
248C42×C47—21no—
249C23×C47—21no—
250C23×C47—21no—
251C23×C47—22no—
252C23×C47—22no—
253C23×C47—22no—
254C23×C47—21no—
255C23×C47—22no—
256C23×C47—22no—
257C23×C47—41no—
258C23×C47—42no—
259C23×C47—42no—
260C23×C47—42no—
261C23×C47—42no—
262C23×C47—42no—
263C23×C47—41no—
264C23×C47—41no—
265C23×C47—41no—
266C23×C47—81no—
267C23×C47—81no—
268C23×C47—82no—
269C23×C47—82no—
270C23×C47—82no—
271C23×C47#12011yescharacteristic
272C23×C47#12011yescharacteristic
273C23×C47C22×D411yescharacteristic
274Q8×C47—41no—
275D4×C47—42no—
276D4×C47—41no—
277D4×C47—42no—
278D4×C47—42no—
279D4×C47—42no—
280D4×C47—41no—
281D4×C47—41no—
282D4×C47—42no—
283D4×C47—41no—
284D4×C47—42no—
285D4×C47—41no—
286D4×C47—44no—
287D4×C47—42no—
288D4×C47—81no—
289D4×C47—82no—
290D4×C47—82no—
291D4×C47—81no—
292D4×C47—82no—
293D4×C47—82no—
294D4×C47—82no—
295D4×C47—82no—
296D4×C47—82no—
297D4×C47—88no—
298D4×C47—82no—
299D4×C47—82no—
300C2×C4×C47—24no—
301C2×C4×C47—21no—
302C2×C4×C47—22no—
303C2×C4×C47—22no—
304C2×C4×C47—21no—
305C2×C4×C47—21no—
306C2×C4×C47—41no—
307C2×C4×C47—41no—
308C2×C4×C47—41no—
309C2×C4×C47—41no—
310C2×C4×C47—41no—
311C2×C4×C47—41no—
312C2×C4×C47—42no—
313C2×C4×C47—42no—
314C2×C4×C47—42no—
315C2×C4×C47—42no—
316C2×C4×C47—42no—
317C2×C4×C47—41no—
318C2×C4×C47—81no—
319C2×C4×C47—84no—
320C2×C4×C47—82no—
321C2×C4×C47—82no—
322C2×C4×C47#12011yescharacteristic
323C2×C4×C47#12011yescharacteristic
324C2×C4×C47C22×D411yescharacteristic
325C2×C4×C47C22×D411yescharacteristic
326C8×C47—41no—
327C8×C47—41no—
328C8×C47—42no—
329#18418C4711yesmaximal, characteristic, direct product factor, Sylow
330C22×C47—21no—
331C22×C47—21no—
332C22×C47—21no—
333C22×C47—21no—
334C22×C47—21no—
335C22×C47—21no—
336C22×C47—21no—
337C22×C47—42no—
338C22×C47—42no—
339C22×C47—42no—
340C22×C47—42no—
341C22×C47—41no—
342C22×C47—42no—
343C22×C47—42no—
344C22×C47—41no—
345C22×C47—41no—
346C22×C47—42no—
347C22×C47—42no—
348C22×C47—82no—
349C22×C47—82no—
350C22×C47—82no—
351C22×C47—82no—
352C22×C47—81no—
353C22×C47—81no—
354C22×C47—81no—
355C22×C47—162no—
356C22×C47—164no—
357C22×C47#45312yes—
358C22×C47C2×#12011yescharacteristic
359C22×C47#57611yescharacteristic
360C22×C47#57711yescharacteristic
361C4×C47—21no—
362C4×C47—21no—
363C4×C47—21no—
364C4×C47—21no—
365C4×C47—44no—
366C4×C47—42no—
367C4×C47—41no—
368C4×C47—42no—
369C4×C47—41no—
370C4×C47—41no—
371C4×C47—81no—
372#3537C2×C4711yescharacteristic, complemented
373#3192C2×C4711yescharacteristic, complemented
374#3188C2×C4711yescharacteristic, complemented
375#2656C2×C4711yescharacteristic, complemented
376#1618C2×C4712yescomplemented
377#1613C2×C4712yescomplemented
378#1600C2×C4712yescomplemented
379#1595C2×C4712yescomplemented
380#1504C2×C4711yescharacteristic, complemented
381C2×#327C2×C4711yescharacteristic, complemented
382#1471C2×C4711yescharacteristic, complemented
383C2×C47—21no—
384C2×C47—21no—
385C2×C47—22no—
386C2×C47—41no—
387C2×C47—82no—
388C2×C47—82no—
389C2×C47—81no—
390C2×C47—161no—
391C2×C47#301211yescharacteristic
392C2×C47C2×#45311yescharacteristic
393C2×C47#302611yescharacteristic
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C22×C4712yes—
403#535—21no—
404#534—21no—
405#534C22×C4712yes—
406#525C22×C4711yescharacteristic
407C2×#121—22no—
408C2×#121C22×C4711yescharacteristic
409C2×#121C22×C4711yescharacteristic
410C2×#121C22×C4711yescharacteristic, complemented
411#484C22×C4711yescharacteristic, complemented
412#482—21no—
413#481—21no—
414#481C22×C4711yescharacteristic, complemented
415#481C22×C4712yescomplemented
416#469—22no—
417#466—21no—
418#465—21no—
419#450C22×C4711yescharacteristic, complemented
420#449—21no—
421#447—21no—
422#447C22×C4711yescharacteristic, complemented
423#447C22×C4712yescomplemented
424#407C22×C4711yescharacteristic, complemented
425C2×C22⋊C8C22×C4711yescharacteristic, complemented
426#399—21no—
427#399C22×C4712yescomplemented
428#392—21no—
429#392C22×C4712yescomplemented
430C2×#95C22×C4711yescharacteristic, complemented
431#328C22×C4712yescomplemented
432#327C22×C4712yescomplemented
433#327C22×C4712yescomplemented
434#327C22×C4712yescomplemented
435#323C22×C4712yescomplemented
436#323C22×C4712yescomplemented
437C47#1841811yescharacteristic, direct product factor, Sylow
438C2×#41D4×C4711yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C4712yes—
446C22×D4D4×C4711yescharacteristic
447C22×D4D4×C4711yescharacteristic, complemented
448C22×D4C23×C4711yescharacteristic
449C23×C4—21no—
450C23×C4C23×C4711yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C4711yescharacteristic, complemented
468C22⋊Q8C23×C4711yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C4712yescomplemented
489#121D4×C4711yescharacteristic, complemented
490#121C23×C4712yes—
491#121C23×C4711yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C4711yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C4711yescharacteristic
509C2×C4⋊C4D4×C4711yescharacteristic, complemented
510C2×C4⋊C4C23×C4711yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C4712yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C4711yescharacteristic
528C22⋊C8C23×C4711yescharacteristic
529C22⋊C8C23×C4712yes—
530#95—21no—
531#95C23×C4712yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C4711yescharacteristic
536C24C2×D4×C4712yes—
537#41—81no—
538C2×Q8C2×D4×C4711yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C4711yescharacteristic
573C2×D4C2×D4×C4712yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C4712yes—
585C22×C4C2×D4×C4711yescharacteristic
586C22×C4C2×D4×C4711yescharacteristic
587C22×C4C2×D4×C4711yescharacteristic
588C22×C4C2×D4×C4711yescharacteristic
589C22×C4C2×D4×C4711yescharacteristic
590C22×C4C24×C4711yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C4712yes—
610C4⋊C4C2×D4×C4711yescharacteristic
611C4⋊C4C2×D4×C4711yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C4711yescharacteristic
655C23#120×C4711yescharacteristic
656C23C22×D4×C4711yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C4711yescharacteristic
706C2×C4#120×C4711yescharacteristic
707C2×C4C22×D4×C4711yescharacteristic
708C2×C4C22×D4×C4711yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22C47×#45312yes—
740C22C2×#120×C4711yescharacteristic
741C22C47×#57611yescharacteristic
742C22C47×#57711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C47×#301211yescharacteristic
763C2C2×C47×#45311yescharacteristic
764C2C47×#302611yescharacteristic
subgroupG/H
center, socleC22×C47C2×#120
commutator, Frattini, cosocleC22×C4C24×C47
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C23×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3537C2semidirect
2. C47×#3192C2semidirect
3. C47×#3188C2semidirect
4. C47×#2656C2semidirect
5. C47×#1618C2semidirect
6. C47×#1613C2semidirect
7. C47×#1600C2semidirect
8. C47×#1595C2semidirect
9. C47×#1504C2semidirect
10. C2×C47×#327C2semidirect
11. C47×#1471C2semidirect
28. C2×#121×C47C22semidirect
29. C47×#484C22semidirect
32. C47×#481C22semidirect
33. C47×#481C22semidirect
37. C47×#450C22semidirect
40. C47×#447C22semidirect
41. C47×#447C22semidirect
42. C47×#407C22semidirect
43. C2×C22⋊C8×C47C22semidirect
45. C47×#399C22semidirect
47. C47×#392C22semidirect
48. C2×#95×C47C22semidirect
49. C47×#328C22semidirect
50. C47×#327C22semidirect
51. C47×#327C22semidirect
52. C47×#327C22semidirect
53. C47×#323C22semidirect
54. C47×#323C22semidirect
55. C2×#41×C47D4semidirect
64. C22×D4×C47D4semidirect
84. C22⋊Q8×C47D4semidirect
105. #121×C47D4semidirect
106. #121×C47D4semidirect
123. #117×C47D4semidirect
126. C2×C4⋊C4×C47D4semidirect
329. #18418C47direct (N × H)
372. #3537C2×C47semidirect
373. #3192C2×C47semidirect
374. #3188C2×C47semidirect
375. #2656C2×C47semidirect
376. #1618C2×C47semidirect
377. #1613C2×C47semidirect
378. #1600C2×C47semidirect
379. #1595C2×C47semidirect
380. #1504C2×C47semidirect
381. C2×#327C2×C47semidirect
382. #1471C2×C47semidirect
410. C2×#121C22×C47semidirect
411. #484C22×C47semidirect
414. #481C22×C47semidirect
415. #481C22×C47semidirect
419. #450C22×C47semidirect
422. #447C22×C47semidirect
423. #447C22×C47semidirect
424. #407C22×C47semidirect
425. C2×C22⋊C8C22×C47semidirect
427. #399C22×C47semidirect
429. #392C22×C47semidirect
430. C2×#95C22×C47semidirect
431. #328C22×C47semidirect
432. #327C22×C47semidirect
433. #327C22×C47semidirect
434. #327C22×C47semidirect
435. #323C22×C47semidirect
436. #323C22×C47semidirect
437. C47#18418direct (N × H)
438. C2×#41D4×C47semidirect
447. C22×D4D4×C47semidirect
467. C22⋊Q8D4×C47semidirect
488. #121D4×C47semidirect
489. #121D4×C47semidirect
506. #117D4×C47semidirect
509. C2×C4⋊C4D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35372
C47×#31922
C47×#31882
C47×#26562
C47×#16182
C47×#16132
C47×#16002
C47×#15952
C47×#15042
C2×C47×#3272
C47×#14712
#1841847