Finite Group Databasebeta

← C47×#19771 #26059469

Subgroups — C47×#19771 #26059469

Order 12032.

736 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3325C211yesmaximal, characteristic, complemented
2C47×#3303C211yesmaximal, characteristic, complemented
3C47×#3294C211yesmaximal, characteristic, complemented
4D4×D8×C47C211yesmaximal, characteristic, complemented
5C47×#1717C211yesmaximal, characteristic, complemented
6C47×#1701C211yesmaximal, characteristic, complemented
7C47×#1683C211yesmaximal, characteristic, complemented
8C47×#1677C211yesmaximal, characteristic, complemented
9C47×#1667C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1629C211yesmaximal, characteristic, complemented
12C47×#1625C211yesmaximal, characteristic, complemented
13C47×#1624C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C22×D8×C47—21no—
17C47×#555C2211yescharacteristic, complemented
18C47×#547C2211yescharacteristic, complemented
19D42×C47C2211yescharacteristic
20D42×C47C2211yescharacteristic
21C47×#493C2211yescharacteristic
22C47×#492C2211yescharacteristic, complemented
23C47×#487C2211yescharacteristic, complemented
24C47×#486C2211yescharacteristic, complemented
25C47×#486C2211yescharacteristic, complemented
26C47×#486C2211yescharacteristic, complemented
27C47×#485—21no—
28C47×#482—21no—
29C47×#480—21no—
30C47×#476C2211yescharacteristic
31C47×#476C2211yescharacteristic, complemented
32C47×#474C2211yescharacteristic
33C47×#469—21no—
34C47×#466—21no—
35C47×#466—21no—
36C47×#465—21no—
37C47×#461C2211yescharacteristic, complemented
38C47×#459C2211yescharacteristic
39C47×#459C2211yescharacteristic
40C47×#459C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic, complemented
42C47×#449—21no—
43C47×#447—21no—
44C47×#447—21no—
45C47×#447—21no—
46C47×#447—21no—
47C4×D8×C47C2211yescharacteristic
48C4×D8×C47C2211yescharacteristic
49C47×#436C2211yescharacteristic, complemented
50C8×D4×C47C2211yescharacteristic
51C8×D4×C47C2211yescharacteristic, complemented
52C8×D4×C47C2211yescharacteristic, complemented
53C47×#418—21no—
54C47×#416—21no—
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic, complemented
62C47×D4⋊C8C2211yescharacteristic
63C47×D4⋊C8C2211yescharacteristic, complemented
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C22×D4×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72C2×SD16×C47—21no—
73C2×SD16×C47—41no—
74C2×D8×C47—21no—
75C2×D8×C47—21no—
76C2×D8×C47—21no—
77C2×D8×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47—44no—
81C2×D8×C47D411yescharacteristic
82C2×D8×C47D411yescharacteristic
83C2×M16×C47—21no—
84C22×C8×C47—21no—
85C22×C8×C47—21no—
86C22×C8×C47—21no—
87C4⋊Q8×C47C2311yescharacteristic
88C4⋊Q8×C47C2311yescharacteristic
89#127×C47C2311yescharacteristic
90#127×C47C2311yescharacteristic
91#124×C47—41no—
92#123×C47—41no—
93C22⋊Q8×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—21no—
100#121×C47—21no—
101#120×C47—41no—
102#120×C47—41no—
103C4×D4×C47C2311yescharacteristic
104C4×D4×C47C2311yescharacteristic
105C4×D4×C47C2311yescharacteristic
106C4×D4×C47C2311yescharacteristic
107#117×C47—21no—
108#117×C47—21no—
109C2×C4⋊C4×C47—21no—
110#107×C47—21no—
111#107×C47D411yescharacteristic
112#107×C47D411yescharacteristic
113#106×C47—21no—
114#106×C47—21no—
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#102×C47—21no—
123#102×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—
146C24×C47—41no—
147#41×C47—42no—
148#41×C47—81no—
149C2×Q8×C47—21no—
150C2×Q8×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—41no—
158C2×D4×C47—41no—
159C2×D4×C47—41no—
160C2×D4×C47—41no—
161C2×D4×C47—42no—
162C2×D4×C47—42no—
163C2×D4×C47—42no—
164C2×D4×C47—42no—
165C2×D4×C47—41no—
166C2×D4×C47—41no—
167C2×D4×C47—81no—
168C2×D4×C47—81no—
169C2×D4×C47—81no—
170C2×D4×C47—81no—
171C2×D4×C47C2×D411yescharacteristic
172C2×D4×C47C2×D411yescharacteristic
173C2×D4×C47C2×D411yescharacteristic
174C2×D4×C47C2×D411yescharacteristic
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—21no—
178C22×C4×C47—21no—
179C22×C4×C47—41no—
180SD16×C47—81no—
181SD16×C47—82no—
182D8×C47—22no—
183D8×C47—22no—
184D8×C47—42no—
185D8×C47—42no—
186D8×C47—42no—
187D8×C47—81no—
188D8×C47—81no—
189D8×C47—81no—
190M16×C47—81no—
191C2×C8×C47—21no—
192C2×C8×C47—21no—
193C2×C8×C47—21no—
194C2×C8×C47—21no—
195C2×C8×C47—21no—
196C2×C8×C47—42no—
197C2×C8×C47—81no—
198C2×C8×C47—81no—
199C2×C8×C47C2×D411yescharacteristic
200C2×C8×C47C2×D411yescharacteristic
201C2×C8×C47C2×D411yescharacteristic
202C2×C8×C47C2×D411yescharacteristic
203C4⋊C4×C47—21no—
204C4⋊C4×C47—21no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47—21no—
207C4⋊C4×C47—41no—
208C4⋊C4×C47C2×D411yescharacteristic
209C4⋊C4×C47C2×D411yescharacteristic
210C4⋊C4×C47C2×D411yescharacteristic
211C4⋊C4×C47C2×D411yescharacteristic
212C22⋊C4×C47—21no—
213C22⋊C4×C47—21no—
214C22⋊C4×C47—21no—
215C22⋊C4×C47—21no—
216C22⋊C4×C47—41no—
217C22⋊C4×C47—41no—
218C22⋊C4×C47—41no—
219C22⋊C4×C47—41no—
220C22⋊C4×C47—41no—
221C42×C47—41no—
222C42×C47C2411yescharacteristic
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—82no—
230C23×C47—82no—
231C23×C47—82no—
232C23×C47—82no—
233C23×C47—161no—
234C23×C47—161no—
235Q8×C47—41no—
236Q8×C47—41no—
237Q8×C47—81no—
238D4×C47—21no—
239D4×C47—21no—
240D4×C47—21no—
241D4×C47—21no—
242D4×C47—21no—
243D4×C47—21no—
244D4×C47—41no—
245D4×C47—41no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—41no—
249D4×C47—41no—
250D4×C47—41no—
251D4×C47—41no—
252D4×C47—81no—
253D4×C47—81no—
254D4×C47—82no—
255D4×C47—82no—
256D4×C47—82no—
257D4×C47—82no—
258D4×C47—82no—
259D4×C47—161no—
260D4×C47#13512yes—
261D4×C47AGL(1,ℤ/8)12yes—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—82no—
277C2×C4×C47C22×D411yescharacteristic
278C2×C4×C47C22×D411yescharacteristic
279C2×C4×C47H(5,𝔽2)11yescharacteristic
280C8×C47—21no—
281C8×C47—21no—
282C8×C47—21no—
283C8×C47—21no—
284C8×C47—41no—
285C8×C47—41no—
286C8×C47—41no—
287C8×C47—41no—
288C8×C47—41no—
289#19771C4711yesmaximal, characteristic, direct product factor, Sylow
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47—81no—
308C22×C47—164no—
309C22×C47—164no—
310C22×C47D4211yescharacteristic
311C4×C47—21no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—41no—
315C4×C47—41no—
316C4×C47—81no—
317C4×C47—81no—
318C4×C47C2×#13511yescharacteristic
319C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
320C4×C47#57611yescharacteristic
321C4×C47#57611yescharacteristic
322#3325C2×C4711yescharacteristic, complemented
323#3303C2×C4711yescharacteristic, complemented
324#3294C2×C4711yescharacteristic, complemented
325D4×D8C2×C4711yescharacteristic, complemented
326#1717C2×C4711yescharacteristic, complemented
327#1701C2×C4711yescharacteristic, complemented
328#1683C2×C4711yescharacteristic, complemented
329#1677C2×C4711yescharacteristic, complemented
330#1667C2×C4711yescharacteristic, complemented
331#1639C2×C4711yescharacteristic, complemented
332#1629C2×C4711yescharacteristic, complemented
333#1625C2×C4711yescharacteristic, complemented
334#1624C2×C4711yescharacteristic, complemented
335#1581C2×C4711yescharacteristic, complemented
336#1580C2×C4711yescharacteristic, complemented
337C2×C47—42no—
338C2×C47—42no—
339C2×C47—81no—
340C2×C47—81no—
341C2×C47—161no—
342C2×C47—161no—
343C2×C47#326411yescharacteristic
344C2×C47#328011yescharacteristic
345C2×C47#328811yescharacteristic
346C22×D8—21no—
347#555C22×C4711yescharacteristic, complemented
348#547C22×C4711yescharacteristic, complemented
349D42C22×C4711yescharacteristic
350D42C22×C4711yescharacteristic
351#493C22×C4711yescharacteristic
352#492C22×C4711yescharacteristic, complemented
353#487C22×C4711yescharacteristic, complemented
354#486C22×C4711yescharacteristic, complemented
355#486C22×C4711yescharacteristic, complemented
356#486C22×C4711yescharacteristic, complemented
357#485—21no—
358#482—21no—
359#480—21no—
360#476C22×C4711yescharacteristic
361#476C22×C4711yescharacteristic, complemented
362#474C22×C4711yescharacteristic
363#469—21no—
364#466—21no—
365#466—21no—
366#465—21no—
367#461C22×C4711yescharacteristic, complemented
368#459C22×C4711yescharacteristic
369#459C22×C4711yescharacteristic
370#459C22×C4711yescharacteristic, complemented
371#459C22×C4711yescharacteristic, complemented
372#449—21no—
373#447—21no—
374#447—21no—
375#447—21no—
376#447—21no—
377C4×D8C22×C4711yescharacteristic
378C4×D8C22×C4711yescharacteristic
379#436C22×C4711yescharacteristic, complemented
380C8×D4C22×C4711yescharacteristic
381C8×D4C22×C4711yescharacteristic, complemented
382C8×D4C22×C4711yescharacteristic, complemented
383#418—21no—
384#416—21no—
385C2×#102—21no—
386#335C22×C4711yescharacteristic, complemented
387#334C22×C4711yescharacteristic, complemented
388#333C22×C4711yescharacteristic, complemented
389#332C22×C4711yescharacteristic, complemented
390#331C22×C4711yescharacteristic, complemented
391#331C22×C4711yescharacteristic, complemented
392D4⋊C8C22×C4711yescharacteristic
393D4⋊C8C22×C4711yescharacteristic, complemented
394D4⋊C8C22×C4711yescharacteristic, complemented
395D4⋊C8C22×C4711yescharacteristic, complemented
396#322C22×C4711yescharacteristic, complemented
397C47#1977111yescharacteristic, direct product factor, Sylow
398C2×#41—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C2×SD16—21no—
404C2×SD16—41no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—44no—
412C2×D8D4×C4711yescharacteristic
413C2×D8D4×C4711yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8C23×C4711yescharacteristic
419C4⋊Q8C23×C4711yescharacteristic
420#127C23×C4711yescharacteristic
421#127C23×C4711yescharacteristic
422#124—41no—
423#123—41no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#120—41no—
433#120—41no—
434C4×D4C23×C4711yescharacteristic
435C4×D4C23×C4711yescharacteristic
436C4×D4C23×C4711yescharacteristic
437C4×D4C23×C4711yescharacteristic
438#117—21no—
439#117—21no—
440C2×C4⋊C4—21no—
441#107—21no—
442#107D4×C4711yescharacteristic
443#107D4×C4711yescharacteristic
444#106—21no—
445#106—21no—
446C4⋊C8C23×C4711yescharacteristic
447C4⋊C8C23×C4711yescharacteristic
448C4⋊C8C23×C4711yescharacteristic
449C4⋊C8C23×C4711yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C4711yescharacteristic
466#102D4×C4711yescharacteristic
467#102D4×C4711yescharacteristic
468#102D4×C4711yescharacteristic
469C22⋊C8—21no—
470C22⋊C8—21no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C4×C8C23×C4711yescharacteristic
474C4×C8C23×C4711yescharacteristic
475C4×C8C23×C4711yescharacteristic
476C24—41no—
477C24—41no—
478#41—42no—
479#41—81no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×D4×C4711yescharacteristic
503C2×D4C2×D4×C4711yescharacteristic
504C2×D4C2×D4×C4711yescharacteristic
505C2×D4C2×D4×C4711yescharacteristic
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511SD16—81no—
512SD16—82no—
513D8—22no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520D8—81no—
521M16—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—81no—
530C2×C8C2×D4×C4711yescharacteristic
531C2×C8C2×D4×C4711yescharacteristic
532C2×C8C2×D4×C4711yescharacteristic
533C2×C8C2×D4×C4711yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C4711yescharacteristic
540C4⋊C4C2×D4×C4711yescharacteristic
541C4⋊C4C2×D4×C4711yescharacteristic
542C4⋊C4C2×D4×C4711yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—41no—
553C42C24×C4711yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—82no—
561C23—82no—
562C23—82no—
563C23—82no—
564C23—161no—
565C23—161no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4#135×C4712yes—
592D4AGL(1,ℤ/8)×C4712yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—82no—
608C2×C4C22×D4×C4711yescharacteristic
609C2×C4C22×D4×C4711yescharacteristic
610C2×C4H(5,𝔽2)×C4711yescharacteristic
611C8—21no—
612C8—21no—
613C8—21no—
614C8—21no—
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C8—41no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—164no—
639C22—164no—
640C22D42×C4711yescharacteristic
641C4—21no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4C2×#135×C4711yescharacteristic
649C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
650C4C47×#57611yescharacteristic
651C4C47×#57611yescharacteristic
652C2—42no—
653C2—42no—
654C2—81no—
655C2—81no—
656C2—161no—
657C2—161no—
658C2C47×#326411yescharacteristic
659C2C47×#328011yescharacteristic
660C2C47×#328811yescharacteristic
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×#3325C2semidirect
2. C47×#3303C2semidirect
3. C47×#3294C2semidirect
4. D4×D8×C47C2semidirect
5. C47×#1717C2semidirect
6. C47×#1701C2semidirect
7. C47×#1683C2semidirect
8. C47×#1677C2semidirect
9. C47×#1667C2semidirect
10. C47×#1639C2semidirect
11. C47×#1629C2semidirect
12. C47×#1625C2semidirect
13. C47×#1624C2semidirect
14. C47×#1581C2semidirect
15. C47×#1580C2semidirect
17. C47×#555C22semidirect
18. C47×#547C22semidirect
22. C47×#492C22semidirect
23. C47×#487C22semidirect
24. C47×#486C22semidirect
25. C47×#486C22semidirect
26. C47×#486C22semidirect
31. C47×#476C22semidirect
37. C47×#461C22semidirect
40. C47×#459C22semidirect
41. C47×#459C22semidirect
49. C47×#436C22semidirect
51. C8×D4×C47C22semidirect
52. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
63. C47×D4⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
289. #19771C47direct (N × H)
322. #3325C2×C47semidirect
323. #3303C2×C47semidirect
324. #3294C2×C47semidirect
325. D4×D8C2×C47semidirect
326. #1717C2×C47semidirect
327. #1701C2×C47semidirect
328. #1683C2×C47semidirect
329. #1677C2×C47semidirect
330. #1667C2×C47semidirect
331. #1639C2×C47semidirect
332. #1629C2×C47semidirect
333. #1625C2×C47semidirect
334. #1624C2×C47semidirect
335. #1581C2×C47semidirect
336. #1580C2×C47semidirect
347. #555C22×C47semidirect
348. #547C22×C47semidirect
352. #492C22×C47semidirect
353. #487C22×C47semidirect
354. #486C22×C47semidirect
355. #486C22×C47semidirect
356. #486C22×C47semidirect
361. #476C22×C47semidirect
367. #461C22×C47semidirect
370. #459C22×C47semidirect
371. #459C22×C47semidirect
379. #436C22×C47semidirect
381. C8×D4C22×C47semidirect
382. C8×D4C22×C47semidirect
386. #335C22×C47semidirect
387. #334C22×C47semidirect
388. #333C22×C47semidirect
389. #332C22×C47semidirect
390. #331C22×C47semidirect
391. #331C22×C47semidirect
393. D4⋊C8C22×C47semidirect
394. D4⋊C8C22×C47semidirect
395. D4⋊C8C22×C47semidirect
396. #322C22×C47semidirect
397. C47#19771direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#33252
C47×#33032
C47×#32942
D4×D8×C472
C47×#17172
C47×#17012
C47×#16832
C47×#16772
C47×#16672
C47×#16392
C47×#16292
C47×#16252
C47×#16242
C47×#15812
C47×#15802
#1977147