Finite Group Databasebeta

← C47×#18450 #26058148

Subgroups — C47×#18450 #26058148

Order 12032.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3537C211yesmaximal, characteristic, complemented
2C47×#3194C211yesmaximal, characteristic, complemented
3C47×#3186C211yesmaximal, characteristic, complemented
4C47×#2815C211yesmaximal, characteristic, complemented
5C47×#1612C212yesmaximal, complemented
6C47×#1607C212yesmaximal, complemented
7C47×#1600C212yesmaximal, complemented
8C47×#1595C212yesmaximal, complemented
9C47×#1516C211yesmaximal, characteristic, complemented
10C47×#1510C211yesmaximal, 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×C47C2211yescharacteristic
26C2×#121×C47C2211yescharacteristic
27C2×#121×C47C2211yescharacteristic, complemented
28C47×#483C2211yescharacteristic, complemented
29C47×#482—21no—
30C47×#480—21no—
31C47×#480C2211yescharacteristic, complemented
32C47×#480C2212yescomplemented
33C47×#469—21no—
34C47×#468—21no—
35C47×#466—22no—
36C47×#450C2211yescharacteristic, complemented
37C47×#449—21no—
38C47×#447—21no—
39C47×#447C2211yescharacteristic, complemented
40C47×#447C2212yescomplemented
41C47×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C47C2211yescharacteristic, complemented
43C47×#397—21no—
44C47×#397C2212yescomplemented
45C47×#392—21no—
46C47×#392—22no—
47C47×#392C2212yescomplemented
48C47×#381C2211yescharacteristic, 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×C47C2311yescharacteristic
67C2×SD16×C47—21no—
68C2×D8×C47—21no—
69C2×D8×C47—22no—
70C2×M16×C47—21no—
71C22×C8×C47—21no—
72#127×C47—22no—
73#127×C47—21no—
74#126×C47—22no—
75#126×C47—22no—
76#125×C47—21no—
77#124×C47—22no—
78#123×C47—22no—
79#123×C47—21no—
80#123×C47—22no—
81#123×C47—22no—
82#123×C47—22no—
83C22⋊Q8×C47D411yescharacteristic, complemented
84C22⋊Q8×C47C2311yescharacteristic
85#121×C47—22no—
86#121×C47—21no—
87#121×C47—21no—
88#121×C47—22no—
89#121×C47—22no—
90#121×C47—22no—
91#121×C47—22no—
92#121×C47—21no—
93#121×C47—21no—
94#121×C47—21no—
95#121×C47—21no—
96#121×C47—21no—
97#121×C47—21no—
98#121×C47—22no—
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×C47D412yescomplemented
104#121×C47D411yescharacteristic, complemented
105#121×C47C2312yes—
106#121×C47C2311yescharacteristic
107#120×C47—22no—
108#120×C47—22no—
109#120×C47—22no—
110#120×C47—21no—
111#120×C47—22no—
112#120×C47—22no—
113#120×C47—22no—
114C4×D4×C47—22no—
115C4×D4×C47—21no—
116C4×D4×C47—21no—
117C4×D4×C47—21no—
118C4×D4×C47—21no—
119C4×D4×C47—22no—
120#117×C47—21no—
121#117×C47D411yescharacteristic, complemented
122C2×C4⋊C4×C47D411yescharacteristic
123C2×C4⋊C4×C47D411yescharacteristic, complemented
124C2×C4⋊C4×C47C2311yescharacteristic
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C22⋊C4×C47—22no—
129C2×C22⋊C4×C47—22no—
130C2×C22⋊C4×C47C2312yes—
131#107×C47—22no—
132#107×C47—21no—
133#106×C47—21no—
134#103×C47—21no—
135#102×C47—21no—
136#102×C47—22no—
137#102×C47—21no—
138#102×C47—22no—
139#102×C47—21no—
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142C22⋊C8×C47C2311yescharacteristic
143C22⋊C8×C47C2312yes—
144C22⋊C8×C47C2311yescharacteristic
145#95×C47—21no—
146#95×C47—22no—
147#95×C47C2312yes—
148C24×C47—22no—
149C24×C47—21no—
150C24×C47—21no—
151C24×C47C2×D412yes—
152C24×C47C2×D411yescharacteristic
153#41×C47—81no—
154C2×Q8×C47C2×D411yescharacteristic
155C2×D4×C47—22no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—22no—
159C2×D4×C47—22no—
160C2×D4×C47—22no—
161C2×D4×C47—22no—
162C2×D4×C47—22no—
163C2×D4×C47—22no—
164C2×D4×C47—21no—
165C2×D4×C47—22no—
166C2×D4×C47—22no—
167C2×D4×C47—21no—
168C2×D4×C47—21no—
169C2×D4×C47—21no—
170C2×D4×C47—21no—
171C2×D4×C47—21no—
172C2×D4×C47—41no—
173C2×D4×C47—41no—
174C2×D4×C47—81no—
175C2×D4×C47—81no—
176C2×D4×C47—82no—
177C2×D4×C47—81no—
178C2×D4×C47—82no—
179C2×D4×C47—82no—
180C2×D4×C47—82no—
181C2×D4×C47—82no—
182C2×D4×C47—82no—
183C2×D4×C47—82no—
184C2×D4×C47—82no—
185C2×D4×C47—82no—
186C2×D4×C47—84no—
187C2×D4×C47C2×D411yescharacteristic
188C2×D4×C47C2×D412yes—
189C22×C4×C47—22no—
190C22×C4×C47—22no—
191C22×C4×C47—21no—
192C22×C4×C47—21no—
193C22×C4×C47—21no—
194C22×C4×C47—22no—
195C22×C4×C47—81no—
196C22×C4×C47C2×D412yes—
197C22×C4×C47C2×D411yescharacteristic
198C22×C4×C47C2×D411yescharacteristic
199C22×C4×C47C2×D411yescharacteristic
200C22×C4×C47C2×D411yescharacteristic
201C22×C4×C47C2×D411yescharacteristic
202C22×C4×C47C2411yescharacteristic
203SD16×C47—81no—
204D8×C47—82no—
205D8×C47—81no—
206M16×C47—81no—
207C2×C8×C47—21no—
208C2×C8×C47—22no—
209C2×C8×C47—21no—
210C2×C8×C47—81no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47—22no—
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—21no—
220C4⋊C4×C47C2×D411yescharacteristic
221C4⋊C4×C47C2×D412yes—
222C4⋊C4×C47C2×D411yescharacteristic
223C22⋊C4×C47—22no—
224C22⋊C4×C47—22no—
225C22⋊C4×C47—22no—
226C22⋊C4×C47—22no—
227C22⋊C4×C47—22no—
228C22⋊C4×C47—21no—
229C22⋊C4×C47—21no—
230C22⋊C4×C47—21no—
231C22⋊C4×C47—22no—
232C22⋊C4×C47—21no—
233C22⋊C4×C47—22no—
234C22⋊C4×C47—22no—
235C22⋊C4×C47—22no—
236C22⋊C4×C47—21no—
237C22⋊C4×C47—41no—
238C22⋊C4×C47—41no—
239C22⋊C4×C47—82no—
240C22⋊C4×C47—82no—
241C22⋊C4×C47—81no—
242C42×C47—22no—
243C42×C47—21no—
244C23×C47—22no—
245C23×C47—22no—
246C23×C47—22no—
247C23×C47—21no—
248C23×C47—22no—
249C23×C47—22no—
250C23×C47—41no—
251C23×C47—41no—
252C23×C47—42no—
253C23×C47—42no—
254C23×C47—42no—
255C23×C47—41no—
256C23×C47—41no—
257C23×C47—42no—
258C23×C47—41no—
259C23×C47—42no—
260C23×C47—81no—
261C23×C47—81no—
262C23×C47—82no—
263C23×C47—82no—
264C23×C47—82no—
265C23×C47#12011yescharacteristic
266C23×C47#12011yescharacteristic
267C23×C47C22×D411yescharacteristic
268Q8×C47—41no—
269D4×C47—42no—
270D4×C47—41no—
271D4×C47—42no—
272D4×C47—42no—
273D4×C47—42no—
274D4×C47—41no—
275D4×C47—41no—
276D4×C47—44no—
277D4×C47—42no—
278D4×C47—42no—
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—82no—
291D4×C47—82no—
292D4×C47—88no—
293C2×C4×C47—21no—
294C2×C4×C47—22no—
295C2×C4×C47—22no—
296C2×C4×C47—21no—
297C2×C4×C47—21no—
298C2×C4×C47—41no—
299C2×C4×C47—41no—
300C2×C4×C47—41no—
301C2×C4×C47—41no—
302C2×C4×C47—41no—
303C2×C4×C47—41no—
304C2×C4×C47—42no—
305C2×C4×C47—42no—
306C2×C4×C47—42no—
307C2×C4×C47—42no—
308C2×C4×C47—41no—
309C2×C4×C47—42no—
310C2×C4×C47—42no—
311C2×C4×C47—81no—
312C2×C4×C47—82no—
313C2×C4×C47—82no—
314C2×C4×C47#12011yescharacteristic
315C2×C4×C47#12011yescharacteristic
316C2×C4×C47C22×D411yescharacteristic
317C2×C4×C47C22×D411yescharacteristic
318C8×C47—42no—
319C8×C47—41no—
320C8×C47—41no—
321#18450C4711yesmaximal, characteristic, direct product factor, Sylow
322C22×C47—21no—
323C22×C47—21no—
324C22×C47—21no—
325C22×C47—21no—
326C22×C47—21no—
327C22×C47—21no—
328C22×C47—21no—
329C22×C47—21no—
330C22×C47—42no—
331C22×C47—42no—
332C22×C47—41no—
333C22×C47—42no—
334C22×C47—42no—
335C22×C47—41no—
336C22×C47—41no—
337C22×C47—42no—
338C22×C47—42no—
339C22×C47—82no—
340C22×C47—82no—
341C22×C47—82no—
342C22×C47—82no—
343C22×C47—82no—
344C22×C47—81no—
345C22×C47—81no—
346C22×C47—81no—
347C22×C47—162no—
348C22×C47—164no—
349C22×C47C2×#12011yescharacteristic
350C22×C47#57612yes—
351C4×C47—21no—
352C4×C47—21no—
353C4×C47—21no—
354C4×C47—21no—
355C4×C47—42no—
356C4×C47—41no—
357C4×C47—42no—
358C4×C47—41no—
359C4×C47—41no—
360C4×C47—82no—
361C4×C47—81no—
362#3537C2×C4711yescharacteristic, complemented
363#3194C2×C4711yescharacteristic, complemented
364#3186C2×C4711yescharacteristic, complemented
365#2815C2×C4711yescharacteristic, complemented
366#1612C2×C4712yescomplemented
367#1607C2×C4712yescomplemented
368#1600C2×C4712yescomplemented
369#1595C2×C4712yescomplemented
370#1516C2×C4711yescharacteristic, complemented
371#1510C2×C4711yescharacteristic, complemented
372#1471C2×C4711yescharacteristic, complemented
373C2×C47—22no—
374C2×C47—41no—
375C2×C47—41no—
376C2×C47—82no—
377C2×C47—82no—
378C2×C47—81no—
379C2×C47—161no—
380C2×C47#300811yescharacteristic
381C2×C47#301911yescharacteristic
382C2×C47#302611yescharacteristic
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C22×C4712yes—
392#535—21no—
393#534—21no—
394#534C22×C4712yes—
395#525C22×C4711yescharacteristic
396C2×#121C22×C4711yescharacteristic
397C2×#121C22×C4711yescharacteristic
398C2×#121C22×C4711yescharacteristic, complemented
399#483C22×C4711yescharacteristic, complemented
400#482—21no—
401#480—21no—
402#480C22×C4711yescharacteristic, complemented
403#480C22×C4712yescomplemented
404#469—21no—
405#468—21no—
406#466—22no—
407#450C22×C4711yescharacteristic, complemented
408#449—21no—
409#447—21no—
410#447C22×C4711yescharacteristic, complemented
411#447C22×C4712yescomplemented
412#407C22×C4711yescharacteristic, complemented
413C2×C22⋊C8C22×C4711yescharacteristic, complemented
414#397—21no—
415#397C22×C4712yescomplemented
416#392—21no—
417#392—22no—
418#392C22×C4712yescomplemented
419#381C22×C4711yescharacteristic, complemented
420#328C22×C4712yescomplemented
421#327C22×C4712yescomplemented
422#327C22×C4712yescomplemented
423#327C22×C4712yescomplemented
424#323C22×C4712yescomplemented
425#323C22×C4712yescomplemented
426C47#1845011yescharacteristic, direct product factor, Sylow
427C2×#41D4×C4711yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C4712yes—
435C22×D4D4×C4711yescharacteristic
436C22×D4D4×C4711yescharacteristic, complemented
437C22×D4C23×C4711yescharacteristic
438C23×C4C23×C4711yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C4711yescharacteristic, complemented
456C22⋊Q8C23×C4711yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C4712yescomplemented
476#121D4×C4711yescharacteristic, complemented
477#121C23×C4712yes—
478#121C23×C4711yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C4711yescharacteristic, complemented
494C2×C4⋊C4D4×C4711yescharacteristic
495C2×C4⋊C4D4×C4711yescharacteristic, complemented
496C2×C4⋊C4C23×C4711yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C4712yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C4711yescharacteristic
515C22⋊C8C23×C4711yescharacteristic
516C22⋊C8C23×C4712yes—
517#95—21no—
518#95—22no—
519#95C23×C4712yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C4712yes—
524C24C2×D4×C4711yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C4711yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C4711yescharacteristic
560C2×D4C2×D4×C4712yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C4712yes—
569C22×C4C2×D4×C4711yescharacteristic
570C22×C4C2×D4×C4711yescharacteristic
571C22×C4C2×D4×C4711yescharacteristic
572C22×C4C2×D4×C4711yescharacteristic
573C22×C4C2×D4×C4711yescharacteristic
574C22×C4C24×C4711yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C4711yescharacteristic
593C4⋊C4C2×D4×C4712yes—
594C4⋊C4C2×D4×C4711yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C4711yescharacteristic
638C23#120×C4711yescharacteristic
639C23C22×D4×C4711yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C4711yescharacteristic
687C2×C4#120×C4711yescharacteristic
688C2×C4C22×D4×C4711yescharacteristic
689C2×C4C22×D4×C4711yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C4711yescharacteristic
721C22C47×#57612yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C47×#300811yescharacteristic
741C2C47×#301911yescharacteristic
742C2C47×#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×#3194C2semidirect
3. C47×#3186C2semidirect
4. C47×#2815C2semidirect
5. C47×#1612C2semidirect
6. C47×#1607C2semidirect
7. C47×#1600C2semidirect
8. C47×#1595C2semidirect
9. C47×#1516C2semidirect
10. C47×#1510C2semidirect
11. C47×#1471C2semidirect
27. C2×#121×C47C22semidirect
28. C47×#483C22semidirect
31. C47×#480C22semidirect
32. C47×#480C22semidirect
36. C47×#450C22semidirect
39. C47×#447C22semidirect
40. C47×#447C22semidirect
41. C47×#407C22semidirect
42. C2×C22⋊C8×C47C22semidirect
44. C47×#397C22semidirect
47. C47×#392C22semidirect
48. C47×#381C22semidirect
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
83. C22⋊Q8×C47D4semidirect
103. #121×C47D4semidirect
104. #121×C47D4semidirect
121. #117×C47D4semidirect
123. C2×C4⋊C4×C47D4semidirect
321. #18450C47direct (N × H)
362. #3537C2×C47semidirect
363. #3194C2×C47semidirect
364. #3186C2×C47semidirect
365. #2815C2×C47semidirect
366. #1612C2×C47semidirect
367. #1607C2×C47semidirect
368. #1600C2×C47semidirect
369. #1595C2×C47semidirect
370. #1516C2×C47semidirect
371. #1510C2×C47semidirect
372. #1471C2×C47semidirect
398. C2×#121C22×C47semidirect
399. #483C22×C47semidirect
402. #480C22×C47semidirect
403. #480C22×C47semidirect
407. #450C22×C47semidirect
410. #447C22×C47semidirect
411. #447C22×C47semidirect
412. #407C22×C47semidirect
413. C2×C22⋊C8C22×C47semidirect
415. #397C22×C47semidirect
418. #392C22×C47semidirect
419. #381C22×C47semidirect
420. #328C22×C47semidirect
421. #327C22×C47semidirect
422. #327C22×C47semidirect
423. #327C22×C47semidirect
424. #323C22×C47semidirect
425. #323C22×C47semidirect
426. C47#18450direct (N × H)
427. C2×#41D4×C47semidirect
436. C22×D4D4×C47semidirect
455. C22⋊Q8D4×C47semidirect
475. #121D4×C47semidirect
476. #121D4×C47semidirect
493. #117D4×C47semidirect
495. 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×#31942
C47×#31862
C47×#28152
C47×#16122
C47×#16072
C47×#16002
C47×#15952
C47×#15162
C47×#15102
C47×#14712
#1845047