Finite Group Databasebeta

← C47×#18254 #26057952

Subgroups — C47×#18254 #26057952

Order 12032.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3537C211yesmaximal, characteristic, complemented
2C47×#3003C211yesmaximal, characteristic, complemented
3C2×C47×#447C211yesmaximal, characteristic, complemented
4C47×#2433C211yesmaximal, characteristic, complemented
5C47×#1600C214yesmaximal, complemented
6C47×#1595C214yesmaximal, complemented
7C47×#1507C211yesmaximal, characteristic, complemented
8C47×#1501C211yesmaximal, characteristic, complemented
9C47×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C47C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C47—21no—
12C22×D8×C47—21no—
13C47×#560—22no—
14C47×#553—21no—
15C47×#553—21no—
16D42×C47—22no—
17D42×C47—21no—
18D42×C47—21no—
19C47×#540—21no—
20C47×#538—21no—
21C47×#538C2212yescomplemented
22C47×#535—21no—
23C47×#534—21no—
24C47×#534C2212yescomplemented
25C2×#127×C47—21no—
26C47×#525C2211yescharacteristic
27C2×#121×C47C2211yescharacteristic
28C2×#121×C47C2211yescharacteristic
29C2×#120×C47—22no—
30C47×#450—21no—
31C47×#450C2212yescomplemented
32C47×#447—22no—
33C47×#447—21no—
34C47×#447C2212yescomplemented
35C47×#447C2214yescomplemented
36C47×#418—21no—
37C2×#102×C47—21no—
38C47×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C47C2211yescharacteristic, complemented
40C47×#392C2214yescomplemented
41C47×#390—21no—
42C4×C22⋊C4×C47C2211yescharacteristic, complemented
43C47×#328C2212yescomplemented
44C47×#327C2212yescomplemented
45C47×#327C2214yescomplemented
46C47×#323C2214yescomplemented
47C25×C47—21no—
48C2×#41×C47D411yescharacteristic, complemented
49C22×D4×C47—22no—
50C22×D4×C47—21no—
51C22×D4×C47—21no—
52C22×D4×C47—22no—
53C22×D4×C47—24no—
54C22×D4×C47—21no—
55C22×D4×C47—21no—
56C22×D4×C47—21no—
57C22×D4×C47—21no—
58C22×D4×C47—21no—
59C22×D4×C47—44no—
60C22×D4×C47D412yes—
61C22×D4×C47D411yescharacteristic
62C22×D4×C47D411yescharacteristic, complemented
63C22×D4×C47C2312yes—
64C23×C4×C47C2311yescharacteristic
65AGL(1,ℤ/8)×C47—44no—
66C2×SD16×C47—22no—
67C2×D8×C47—24no—
68C2×D8×C47—22no—
69C2×D8×C47—44no—
70C2×M16×C47—21no—
71C22×C8×C47—21no—
72#127×C47—22no—
73#127×C47—21no—
74#127×C47—44no—
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×C47D412yescomplemented
101#121×C47D411yescharacteristic, complemented
102#121×C47C2312yes—
103#121×C47C2311yescharacteristic
104#120×C47—22no—
105#120×C47—22no—
106#120×C47—22no—
107#120×C47—21no—
108#120×C47—22no—
109#120×C47—22no—
110#120×C47—22no—
111#120×C47—48no—
112C4×D4×C47—22no—
113C4×D4×C47—21no—
114C4×D4×C47—21no—
115C4×D4×C47—21no—
116C4×D4×C47—21no—
117C4×D4×C47—22no—
118#117×C47—21no—
119#117×C47D411yescharacteristic, complemented
120C2×C4⋊C4×C47D411yescharacteristic
121C2×C4⋊C4×C47D411yescharacteristic, complemented
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—24no—
125C2×C22⋊C4×C47C2312yes—
126C2×C42×C47—21no—
127#102×C47—22no—
128#102×C47—22no—
129#102×C47—24no—
130C22⋊C8×C47—21no—
131C22⋊C8×C47—21no—
132C22⋊C8×C47C2312yes—
133C22⋊C8×C47C2312yes—
134#95×C47C2312yes—
135C24×C47—22no—
136C24×C47—22no—
137C24×C47—21no—
138C24×C47—44no—
139C24×C47—44no—
140C24×C47—41no—
141C24×C47—41no—
142C24×C47—82no—
143C24×C47C2×D411yescharacteristic
144C24×C47C2×D412yes—
145#41×C47—42no—
146C2×Q8×C47C2×D411yescharacteristic
147C2×D4×C47—24no—
148C2×D4×C47—24no—
149C2×D4×C47—24no—
150C2×D4×C47—22no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—22no—
154C2×D4×C47—22no—
155C2×D4×C47—22no—
156C2×D4×C47—22no—
157C2×D4×C47—22no—
158C2×D4×C47—22no—
159C2×D4×C47—21no—
160C2×D4×C47—22no—
161C2×D4×C47—22no—
162C2×D4×C47—21no—
163C2×D4×C47—21no—
164C2×D4×C47—21no—
165C2×D4×C47—22no—
166C2×D4×C47—22no—
167C2×D4×C47—42no—
168C2×D4×C47—42no—
169C2×D4×C47—42no—
170C2×D4×C47—42no—
171C2×D4×C47—42no—
172C2×D4×C47—48no—
173C2×D4×C47—44no—
174C2×D4×C47—44no—
175C2×D4×C47—44no—
176C2×D4×C47—44no—
177C2×D4×C47—48no—
178C2×D4×C47—41no—
179C2×D4×C47—41no—
180C2×D4×C47—82no—
181C2×D4×C47—84no—
182C2×D4×C47—82no—
183C2×D4×C47—84no—
184C2×D4×C47—84no—
185C2×D4×C47C2×D411yescharacteristic
186C2×D4×C47C2×D412yes—
187C22×C4×C47—22no—
188C22×C4×C47—22no—
189C22×C4×C47—22no—
190C22×C4×C47—21no—
191C22×C4×C47—21no—
192C22×C4×C47—42no—
193C22×C4×C47C2×D411yescharacteristic
194C22×C4×C47C2×D411yescharacteristic
195C22×C4×C47C2×D411yescharacteristic
196C22×C4×C47C2×D412yes—
197C22×C4×C47C2×D411yescharacteristic
198C22×C4×C47C2×D411yescharacteristic
199C22×C4×C47C2411yescharacteristic
200SD16×C47—44no—
201D8×C47—48no—
202D8×C47—44no—
203M16×C47—42no—
204C2×C8×C47—22no—
205C2×C8×C47—22no—
206C2×C8×C47—42no—
207C4⋊C4×C47—22no—
208C4⋊C4×C47—22no—
209C4⋊C4×C47—21no—
210C4⋊C4×C47—21no—
211C4⋊C4×C47—21no—
212C4⋊C4×C47—21no—
213C4⋊C4×C47—21no—
214C4⋊C4×C47C2×D412yes—
215C4⋊C4×C47C2×D411yescharacteristic
216C4⋊C4×C47C2×D411yescharacteristic
217C22⋊C4×C47—24no—
218C22⋊C4×C47—22no—
219C22⋊C4×C47—22no—
220C22⋊C4×C47—22no—
221C22⋊C4×C47—22no—
222C22⋊C4×C47—22no—
223C22⋊C4×C47—21no—
224C22⋊C4×C47—21no—
225C22⋊C4×C47—21no—
226C22⋊C4×C47—22no—
227C22⋊C4×C47—21no—
228C22⋊C4×C47—22no—
229C22⋊C4×C47—22no—
230C22⋊C4×C47—22no—
231C22⋊C4×C47—21no—
232C22⋊C4×C47—48no—
233C42×C47—22no—
234C42×C47—21no—
235C42×C47—42no—
236C23×C47—22no—
237C23×C47—22no—
238C23×C47—24no—
239C23×C47—22no—
240C23×C47—22no—
241C23×C47—21no—
242C23×C47—24no—
243C23×C47—41no—
244C23×C47—44no—
245C23×C47—44no—
246C23×C47—44no—
247C23×C47—42no—
248C23×C47—42no—
249C23×C47—42no—
250C23×C47—42no—
251C23×C47—44no—
252C23×C47—42no—
253C23×C47—81no—
254C23×C47—81no—
255C23×C47—82no—
256C23×C47—82no—
257C23×C47—82no—
258C23×C47—82no—
259C23×C47—82no—
260C23×C47—82no—
261C23×C47—816no—
262C23×C47—82no—
263C23×C47#12011yescharacteristic
264C23×C47#12011yescharacteristic
265C23×C47C22×D411yescharacteristic
266Q8×C47—41no—
267D4×C47—24no—
268D4×C47—24no—
269D4×C47—42no—
270D4×C47—41no—
271D4×C47—42no—
272D4×C47—42no—
273D4×C47—44no—
274D4×C47—44no—
275D4×C47—42no—
276D4×C47—44no—
277D4×C47—42no—
278D4×C47—44no—
279D4×C47—42no—
280D4×C47—42no—
281D4×C47—81no—
282D4×C47—82no—
283D4×C47—82no—
284D4×C47—81no—
285D4×C47—82no—
286D4×C47—82no—
287D4×C47—82no—
288D4×C47—82no—
289D4×C47—82no—
290D4×C47—816no—
291C2×C4×C47—22no—
292C2×C4×C47—22no—
293C2×C4×C47—22no—
294C2×C4×C47—24no—
295C2×C4×C47—21no—
296C2×C4×C47—22no—
297C2×C4×C47—22no—
298C2×C4×C47—21no—
299C2×C4×C47—21no—
300C2×C4×C47—41no—
301C2×C4×C47—41no—
302C2×C4×C47—41no—
303C2×C4×C47—42no—
304C2×C4×C47—42no—
305C2×C4×C47—42no—
306C2×C4×C47—42no—
307C2×C4×C47—81no—
308C2×C4×C47—82no—
309C2×C4×C47—82no—
310C2×C4×C47#12011yescharacteristic
311C2×C4×C47#12011yescharacteristic
312C2×C4×C47C22×D411yescharacteristic
313C2×C4×C47C22×D411yescharacteristic
314C8×C47—42no—
315C8×C47—42no—
316#18254C4711yesmaximal, characteristic, direct product factor, Sylow
317C22×C47—21no—
318C22×C47—21no—
319C22×C47—21no—
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—21no—
323C22×C47—21no—
324C22×C47—44no—
325C22×C47—48no—
326C22×C47—42no—
327C22×C47—42no—
328C22×C47—41no—
329C22×C47—42no—
330C22×C47—42no—
331C22×C47—41no—
332C22×C47—41no—
333C22×C47—44no—
334C22×C47—42no—
335C22×C47—42no—
336C22×C47—84no—
337C22×C47—84no—
338C22×C47—88no—
339C22×C47—88no—
340C22×C47—82no—
341C22×C47—82no—
342C22×C47—162no—
343C22×C47—164no—
344C22×C47#45312yes—
345C22×C47C2×#12011yescharacteristic
346C22×C47#57612yes—
347C4×C47—21no—
348C4×C47—21no—
349C4×C47—21no—
350C4×C47—44no—
351C4×C47—42no—
352C4×C47—41no—
353C4×C47—42no—
354C4×C47—41no—
355C4×C47—41no—
356C4×C47B(4,𝔽2)12yes—
357#3537C2×C4711yescharacteristic, complemented
358#3003C2×C4711yescharacteristic, complemented
359C2×#447C2×C4711yescharacteristic, complemented
360#2433C2×C4711yescharacteristic, complemented
361#1600C2×C4714yescomplemented
362#1595C2×C4714yescomplemented
363#1507C2×C4711yescharacteristic, complemented
364#1501C2×C4711yescharacteristic, complemented
365#1471C2×C4711yescharacteristic, complemented
366C2×C47—22no—
367C2×C47—22no—
368C2×C47—41no—
369C2×C47—84no—
370C2×C47—82no—
371C2×C47—82no—
372C2×C47—81no—
373C2×C47#300811yescharacteristic
374C2×C47C2×#45311yescharacteristic
375C2×C47C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C4711yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C4712yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C4712yescomplemented
391C2×#127—21no—
392#525C22×C4711yescharacteristic
393C2×#121C22×C4711yescharacteristic
394C2×#121C22×C4711yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C4712yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C4712yescomplemented
401#447C22×C4714yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C4711yescharacteristic, complemented
405C2×C22⋊C8C22×C4711yescharacteristic, complemented
406#392C22×C4714yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C4711yescharacteristic, complemented
409#328C22×C4712yescomplemented
410#327C22×C4712yescomplemented
411#327C22×C4714yescomplemented
412#323C22×C4714yescomplemented
413C47#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C4711yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C4712yes—
428C22×D4D4×C4711yescharacteristic
429C22×D4D4×C4711yescharacteristic, complemented
430C22×D4C23×C4712yes—
431C23×C4C23×C4711yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C4711yescharacteristic, complemented
452C22⋊Q8C23×C4711yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C4712yescomplemented
468#121D4×C4711yescharacteristic, complemented
469#121C23×C4712yes—
470#121C23×C4711yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C4711yescharacteristic, complemented
487C2×C4⋊C4D4×C4711yescharacteristic
488C2×C4⋊C4D4×C4711yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C4712yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C4712yes—
500C22⋊C8C23×C4712yes—
501#95C23×C4712yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C4711yescharacteristic
511C24C2×D4×C4712yes—
512#41—42no—
513C2×Q8C2×D4×C4711yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C4711yescharacteristic
553C2×D4C2×D4×C4712yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C4711yescharacteristic
561C22×C4C2×D4×C4711yescharacteristic
562C22×C4C2×D4×C4711yescharacteristic
563C22×C4C2×D4×C4712yes—
564C22×C4C2×D4×C4711yescharacteristic
565C22×C4C2×D4×C4711yescharacteristic
566C22×C4C24×C4711yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C4712yes—
582C4⋊C4C2×D4×C4711yescharacteristic
583C4⋊C4C2×D4×C4711yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C4711yescharacteristic
631C23#120×C4711yescharacteristic
632C23C22×D4×C4711yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C4711yescharacteristic
678C2×C4#120×C4711yescharacteristic
679C2×C4C22×D4×C4711yescharacteristic
680C2×C4C22×D4×C4711yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C47×#45312yes—
711C22C2×#120×C4711yescharacteristic
712C22C47×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C47×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C47×#300811yescharacteristic
731C2C2×C47×#45311yescharacteristic
732C2C2×C47×B(4,𝔽2)11yescharacteristic
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×#3003C2semidirect
3. C2×C47×#447C2semidirect
4. C47×#2433C2semidirect
5. C47×#1600C2semidirect
6. C47×#1595C2semidirect
7. C47×#1507C2semidirect
8. C47×#1501C2semidirect
9. C47×#1471C2semidirect
10. C23×D4×C47C22semidirect
21. C47×#538C22semidirect
24. C47×#534C22semidirect
31. C47×#450C22semidirect
34. C47×#447C22semidirect
35. C47×#447C22semidirect
38. C47×#407C22semidirect
39. C2×C22⋊C8×C47C22semidirect
40. C47×#392C22semidirect
42. C4×C22⋊C4×C47C22semidirect
43. C47×#328C22semidirect
44. C47×#327C22semidirect
45. C47×#327C22semidirect
46. C47×#323C22semidirect
48. C2×#41×C47D4semidirect
62. C22×D4×C47D4semidirect
84. C22⋊Q8×C47D4semidirect
100. #121×C47D4semidirect
101. #121×C47D4semidirect
119. #117×C47D4semidirect
121. C2×C4⋊C4×C47D4semidirect
316. #18254C47direct (N × H)
357. #3537C2×C47semidirect
358. #3003C2×C47semidirect
359. C2×#447C2×C47semidirect
360. #2433C2×C47semidirect
361. #1600C2×C47semidirect
362. #1595C2×C47semidirect
363. #1507C2×C47semidirect
364. #1501C2×C47semidirect
365. #1471C2×C47semidirect
376. C23×D4C22×C47semidirect
387. #538C22×C47semidirect
390. #534C22×C47semidirect
397. #450C22×C47semidirect
400. #447C22×C47semidirect
401. #447C22×C47semidirect
404. #407C22×C47semidirect
405. C2×C22⋊C8C22×C47semidirect
406. #392C22×C47semidirect
408. C4×C22⋊C4C22×C47semidirect
409. #328C22×C47semidirect
410. #327C22×C47semidirect
411. #327C22×C47semidirect
412. #323C22×C47semidirect
413. C47#18254direct (N × H)
415. C2×#41D4×C47semidirect
429. C22×D4D4×C47semidirect
451. C22⋊Q8D4×C47semidirect
467. #121D4×C47semidirect
468. #121D4×C47semidirect
486. #117D4×C47semidirect
488. 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×#30032
C2×C47×#4472
C47×#24332
C47×#16002
C47×#15952
C47×#15072
C47×#15012
C47×#14712
#1825447