Finite Group Databasebeta

← C47×#18076 #26057774

Subgroups — C47×#18076 #26057774

Order 12032.

656 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3171C211yesmaximal, characteristic
2C47×#2969C211yesmaximal, characteristic, complemented
3C47×#2935C211yesmaximal, characteristic, complemented
4C47×#1594C211yesmaximal, characteristic, complemented
5C47×#1590C211yesmaximal, characteristic, complemented
6C47×#1588C211yesmaximal, characteristic, complemented
7C47×#1586C211yesmaximal, characteristic, complemented
8C47×#1582C211yesmaximal, characteristic, complemented
9C47×#1581C211yesmaximal, characteristic, complemented
10C47×SD16⋊C8C211yesmaximal, characteristic, complemented
11C8×D8×C47C211yesmaximal, characteristic, complemented
12C47×#1565C211yesmaximal, characteristic, complemented
13C47×#1484C211yesmaximal, characteristic, complemented
14C47×#1483C211yesmaximal, characteristic, complemented
15C47×#1455C211yesmaximal, characteristic, complemented
16C2×#131×C47—21no—
17C47×#532C2211yescharacteristic
18C47×#529C2211yescharacteristic
19C47×#501C411yescharacteristic
20C47×#496C411yescharacteristic
21C47×#490C411yescharacteristic
22C47×#489C411yescharacteristic
23C47×#469C411yescharacteristic
24C47×#469C411yescharacteristic
25C47×#468C411yescharacteristic
26C47×#468C411yescharacteristic
27C47×#446C2211yescharacteristic
28C8×Q8×C47C2211yescharacteristic
29C4×SD16×C47C2211yescharacteristic
30C4×SD16×C47C2211yescharacteristic
31C4×D8×C47C2211yescharacteristic
32C4×D8×C47C2211yescharacteristic
33C47×#436—21no—
34C47×#436C2211yescharacteristic
35C47×#436C2211yescharacteristic
36C47×#436C2211yescharacteristic
37C47×#435—21no—
38C47×#435—21no—
39C47×#435—21no—
40C8×D4×C47C2211yescharacteristic
41C8×D4×C47C2211yescharacteristic
42C8×D4×C47C2211yescharacteristic
43C47×#433—21no—
44C47×#431C2211yescharacteristic
45C2×C4⋊C8×C47C2211yescharacteristic
46C47×#408—21no—
47C47×#405—21no—
48C4×M16×C47C2211yescharacteristic
49C4×M16×C47C2211yescharacteristic
50C4×M16×C47C2211yescharacteristic
51C47×#335C2211yescharacteristic
52C47×#335C2211yescharacteristic
53C47×#334C2211yescharacteristic
54C47×#334C2211yescharacteristic
55C47×Q8⋊C8C2211yescharacteristic
56C47×Q8⋊C8C2211yescharacteristic
57C47×D4⋊C8C2211yescharacteristic
58C47×D4⋊C8C2211yescharacteristic
59C47×D4⋊C8C2211yescharacteristic
60C47×D4⋊C8C2211yescharacteristic
61C47×D4⋊C8C2211yescharacteristic
62C47×D4⋊C8C2211yescharacteristic
63C47×#322C2211yescharacteristic
64C47×#322C2211yescharacteristic
65C47×#322C2211yescharacteristic
66C82×C47C2211yescharacteristic
67C2×#41×C47—21no—
68C2×SD16×C47C2×C411yescharacteristic
69C2×SD16×C47C2×C411yescharacteristic
70C2×D8×C47C2×C411yescharacteristic
71C2×D8×C47C2×C411yescharacteristic
72#131×C47—44no—
73C2×M16×C47—21no—
74C2×M16×C47—21no—
75C2×M16×C47—21no—
76C2×M16×C47—21no—
77C2×M16×C47C2×C411yescharacteristic
78C2×M16×C47C2×C411yescharacteristic
79C2×M16×C47D411yescharacteristic
80C2×M16×C47D411yescharacteristic
81C22×C8×C47—21no—
82C22×C8×C47—21no—
83C22×C8×C47—21no—
84C22×C8×C47—21no—
85C4⋊Q8×C47C2×C411yescharacteristic
86#127×C47C2×C411yescharacteristic
87#126×C47—21no—
88#125×C47C2×C411yescharacteristic
89#124×C47—21no—
90#124×C47C2×C411yescharacteristic
91#123×C47—21no—
92C22⋊Q8×C47C2×C411yescharacteristic
93#121×C47—21no—
94#121×C47C2×C411yescharacteristic
95#121×C47C2×C411yescharacteristic
96#121×C47C2×C411yescharacteristic
97C4×Q8×C47C2311yescharacteristic
98C4×D4×C47—21no—
99C4×D4×C47—21no—
100C4×D4×C47C2311yescharacteristic
101C4×D4×C47C2311yescharacteristic
102C4×D4×C47C2311yescharacteristic
103#117×C47—21no—
104C2×C42×C47C2311yescharacteristic
105#107×C47C2×C411yescharacteristic
106#107×C47C2×C411yescharacteristic
107#106×C47C2×C411yescharacteristic
108#106×C47C2×C411yescharacteristic
109C4⋊C8×C47—21no—
110C4⋊C8×C47—21no—
111C4⋊C8×C47—21no—
112C4⋊C8×C47C2311yescharacteristic
113C4⋊C8×C47C2311yescharacteristic
114C4⋊C8×C47C2311yescharacteristic
115C4⋊C8×C47C2311yescharacteristic
116#103×C47C2×C411yescharacteristic
117#103×C47C2×C411yescharacteristic
118#102×C47C2×C411yescharacteristic
119#102×C47C2×C411yescharacteristic
120#102×C47C2×C411yescharacteristic
121#102×C47C2×C411yescharacteristic
122#102×C47C2×C411yescharacteristic
123#102×C47C2×C411yescharacteristic
124C22⋊C8×C47—21no—
125C22⋊C8×C47—21no—
126C22⋊C8×C47—21no—
127C22⋊C8×C47—21no—
128C22⋊C8×C47—21no—
129C22⋊C8×C47—21no—
130C22⋊C8×C47—21no—
131#97×C47—21no—
132#97×C47—21no—
133#97×C47C2×C411yescharacteristic
134#97×C47C2×C411yescharacteristic
135#97×C47D411yescharacteristic
136#97×C47D411yescharacteristic
137C4×C8×C47—21no—
138C4×C8×C47—21no—
139C4×C8×C47C2311yescharacteristic
140C4×C8×C47C2311yescharacteristic
141C4×C8×C47C2311yescharacteristic
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145#41×C47—42no—
146#41×C47—42no—
147C2×Q8×C47—21no—
148C2×Q8×C47C22×C411yescharacteristic
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47C22×C411yescharacteristic
155C2×D4×C47C22×C411yescharacteristic
156C2×D4×C47C22×C411yescharacteristic
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47C22×C411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47#4111yescharacteristic
163SD16×C47—22no—
164SD16×C47—41no—
165D8×C47—22no—
166D8×C47—41no—
167M16×C47—22no—
168M16×C47—22no—
169M16×C47—41no—
170M16×C47—41no—
171M16×C47—42no—
172M16×C47—42no—
173M16×C47—42no—
174M16×C47—42no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—42no—
182C2×C8×C47—42no—
183C2×C8×C47—42no—
184C2×C8×C47—42no—
185C2×C8×C47C22×C411yescharacteristic
186C2×C8×C47C22×C411yescharacteristic
187C2×C8×C47C22×C411yescharacteristic
188C2×C8×C47C22×C411yescharacteristic
189C2×C8×C47C2×D411yescharacteristic
190C2×C8×C47C2×D411yescharacteristic
191C2×C8×C47C2×D411yescharacteristic
192C2×C8×C47C2×D411yescharacteristic
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47C22×C411yescharacteristic
199C4⋊C4×C47C22×C411yescharacteristic
200C4⋊C4×C47C22×C411yescharacteristic
201C4⋊C4×C47C22×C411yescharacteristic
202C22⋊C4×C47—21no—
203C22⋊C4×C47—21no—
204C22⋊C4×C47—21no—
205C22⋊C4×C47—21no—
206C22⋊C4×C47—21no—
207C22⋊C4×C47—21no—
208C22⋊C4×C47—21no—
209C22⋊C4×C47—21no—
210C22⋊C4×C47—21no—
211C42×C47—21no—
212C42×C47C22×C411yescharacteristic
213C42×C47C2×D411yescharacteristic
214C42×C47#4111yescharacteristic
215C42×C47C2411yescharacteristic
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47C4×D411yescharacteristic
220Q8×C47—21no—
221Q8×C47—21no—
222Q8×C47—42no—
223D4×C47—21no—
224D4×C47—21no—
225D4×C47—21no—
226D4×C47—21no—
227D4×C47—21no—
228D4×C47—21no—
229D4×C47—42no—
230D4×C47—42no—
231D4×C47—42no—
232D4×C47—81no—
233D4×C47—81no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47C4×D411yescharacteristic
251C2×C4×C47C4×D411yescharacteristic
252C2×C4×C47C4×D411yescharacteristic
253C2×C4×C47C23×C411yescharacteristic
254C2×C4×C47C22×D411yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C8×C47—22no—
257C8×C47—21no—
258C8×C47—21no—
259C8×C47—21no—
260C8×C47—21no—
261C8×C47—21no—
262C8×C47—21no—
263C8×C47—41no—
264C8×C47—41no—
265C8×C47—41no—
266C8×C47—41no—
267C8×C47—41no—
268C8×C47#13112yescomplemented
269C8×C47AGL(1,ℤ/8)12yes—
270#18076C4711yesmaximal, characteristic, direct product factor, Sylow
271C22×C47—21no—
272C22×C47—21no—
273C22×C47—21no—
274C22×C47—41no—
275C22×C47—41no—
276C22×C47—41no—
277C22×C47—41no—
278C22×C47—41no—
279C22×C47—41no—
280C22×C47—41no—
281C22×C47—41no—
282C22×C47—41no—
283C22×C47C2×C4×D411yescharacteristic
284C4×C47—21no—
285C4×C47—21no—
286C4×C47—21no—
287C4×C47—21no—
288C4×C47—41no—
289C4×C47—41no—
290C4×C47—41no—
291C4×C47—41no—
292C4×C47—41no—
293C4×C47C2×#13111yescharacteristic
294C4×C47#56811yescharacteristic
295C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
296C4×C47#57511yescharacteristic
297#3171C2×C4711yescharacteristic
298#2969C2×C4711yescharacteristic, complemented
299#2935C2×C4711yescharacteristic, complemented
300#1594C2×C4711yescharacteristic, complemented
301#1590C2×C4711yescharacteristic, complemented
302#1588C2×C4711yescharacteristic, complemented
303#1586C2×C4711yescharacteristic, complemented
304#1582C2×C4711yescharacteristic, complemented
305#1581C2×C4711yescharacteristic, complemented
306SD16⋊C8C2×C4711yescharacteristic, complemented
307C8×D8C2×C4711yescharacteristic, complemented
308#1565C2×C4711yescharacteristic, complemented
309#1484C2×C4711yescharacteristic, complemented
310#1483C2×C4711yescharacteristic, complemented
311#1455C2×C4711yescharacteristic, complemented
312C2×C47—41no—
313C2×C47—81no—
314C2×C47—81no—
315C2×C47—81no—
316C2×C47#293511yescharacteristic
317C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
318C2×C47#295611yescharacteristic
319C2×#131—21no—
320#532C22×C4711yescharacteristic
321#529C22×C4711yescharacteristic
322#501C4×C4711yescharacteristic
323#496C4×C4711yescharacteristic
324#490C4×C4711yescharacteristic
325#489C4×C4711yescharacteristic
326#469C4×C4711yescharacteristic
327#469C4×C4711yescharacteristic
328#468C4×C4711yescharacteristic
329#468C4×C4711yescharacteristic
330#446C22×C4711yescharacteristic
331C8×Q8C22×C4711yescharacteristic
332C4×SD16C22×C4711yescharacteristic
333C4×SD16C22×C4711yescharacteristic
334C4×D8C22×C4711yescharacteristic
335C4×D8C22×C4711yescharacteristic
336#436—21no—
337#436C22×C4711yescharacteristic
338#436C22×C4711yescharacteristic
339#436C22×C4711yescharacteristic
340#435—21no—
341#435—21no—
342#435—21no—
343C8×D4C22×C4711yescharacteristic
344C8×D4C22×C4711yescharacteristic
345C8×D4C22×C4711yescharacteristic
346#433—21no—
347#431C22×C4711yescharacteristic
348C2×C4⋊C8C22×C4711yescharacteristic
349#408—21no—
350#405—21no—
351C4×M16C22×C4711yescharacteristic
352C4×M16C22×C4711yescharacteristic
353C4×M16C22×C4711yescharacteristic
354#335C22×C4711yescharacteristic
355#335C22×C4711yescharacteristic
356#334C22×C4711yescharacteristic
357#334C22×C4711yescharacteristic
358Q8⋊C8C22×C4711yescharacteristic
359Q8⋊C8C22×C4711yescharacteristic
360D4⋊C8C22×C4711yescharacteristic
361D4⋊C8C22×C4711yescharacteristic
362D4⋊C8C22×C4711yescharacteristic
363D4⋊C8C22×C4711yescharacteristic
364D4⋊C8C22×C4711yescharacteristic
365D4⋊C8C22×C4711yescharacteristic
366#322C22×C4711yescharacteristic
367#322C22×C4711yescharacteristic
368#322C22×C4711yescharacteristic
369C82C22×C4711yescharacteristic
370C47#1807611yescharacteristic, direct product factor, Sylow
371C2×#41—21no—
372C2×SD16C2×C4×C4711yescharacteristic
373C2×SD16C2×C4×C4711yescharacteristic
374C2×D8C2×C4×C4711yescharacteristic
375C2×D8C2×C4×C4711yescharacteristic
376#131—44no—
377C2×M16—21no—
378C2×M16—21no—
379C2×M16—21no—
380C2×M16—21no—
381C2×M16C2×C4×C4711yescharacteristic
382C2×M16C2×C4×C4711yescharacteristic
383C2×M16D4×C4711yescharacteristic
384C2×M16D4×C4711yescharacteristic
385C22×C8—21no—
386C22×C8—21no—
387C22×C8—21no—
388C22×C8—21no—
389C4⋊Q8C2×C4×C4711yescharacteristic
390#127C2×C4×C4711yescharacteristic
391#126—21no—
392#125C2×C4×C4711yescharacteristic
393#124—21no—
394#124C2×C4×C4711yescharacteristic
395#123—21no—
396C22⋊Q8C2×C4×C4711yescharacteristic
397#121—21no—
398#121C2×C4×C4711yescharacteristic
399#121C2×C4×C4711yescharacteristic
400#121C2×C4×C4711yescharacteristic
401C4×Q8C23×C4711yescharacteristic
402C4×D4—21no—
403C4×D4—21no—
404C4×D4C23×C4711yescharacteristic
405C4×D4C23×C4711yescharacteristic
406C4×D4C23×C4711yescharacteristic
407#117—21no—
408C2×C42C23×C4711yescharacteristic
409#107C2×C4×C4711yescharacteristic
410#107C2×C4×C4711yescharacteristic
411#106C2×C4×C4711yescharacteristic
412#106C2×C4×C4711yescharacteristic
413C4⋊C8—21no—
414C4⋊C8—21no—
415C4⋊C8—21no—
416C4⋊C8C23×C4711yescharacteristic
417C4⋊C8C23×C4711yescharacteristic
418C4⋊C8C23×C4711yescharacteristic
419C4⋊C8C23×C4711yescharacteristic
420#103C2×C4×C4711yescharacteristic
421#103C2×C4×C4711yescharacteristic
422#102C2×C4×C4711yescharacteristic
423#102C2×C4×C4711yescharacteristic
424#102C2×C4×C4711yescharacteristic
425#102C2×C4×C4711yescharacteristic
426#102C2×C4×C4711yescharacteristic
427#102C2×C4×C4711yescharacteristic
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8—21no—
435#97—21no—
436#97—21no—
437#97C2×C4×C4711yescharacteristic
438#97C2×C4×C4711yescharacteristic
439#97D4×C4711yescharacteristic
440#97D4×C4711yescharacteristic
441C4×C8—21no—
442C4×C8—21no—
443C4×C8C23×C4711yescharacteristic
444C4×C8C23×C4711yescharacteristic
445C4×C8C23×C4711yescharacteristic
446C4×C8C23×C4711yescharacteristic
447C4×C8C23×C4711yescharacteristic
448C4×C8C23×C4711yescharacteristic
449#41—42no—
450#41—42no—
451C2×Q8—21no—
452C2×Q8C22×C4×C4711yescharacteristic
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4C22×C4×C4711yescharacteristic
459C2×D4C22×C4×C4711yescharacteristic
460C2×D4C22×C4×C4711yescharacteristic
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4C22×C4×C4711yescharacteristic
465C22×C4C2×D4×C4711yescharacteristic
466C22×C4#41×C4711yescharacteristic
467SD16—22no—
468SD16—41no—
469D8—22no—
470D8—41no—
471M16—22no—
472M16—22no—
473M16—41no—
474M16—41no—
475M16—42no—
476M16—42no—
477M16—42no—
478M16—42no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—42no—
486C2×C8—42no—
487C2×C8—42no—
488C2×C8—42no—
489C2×C8C22×C4×C4711yescharacteristic
490C2×C8C22×C4×C4711yescharacteristic
491C2×C8C22×C4×C4711yescharacteristic
492C2×C8C22×C4×C4711yescharacteristic
493C2×C8C2×D4×C4711yescharacteristic
494C2×C8C2×D4×C4711yescharacteristic
495C2×C8C2×D4×C4711yescharacteristic
496C2×C8C2×D4×C4711yescharacteristic
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4C22×C4×C4711yescharacteristic
503C4⋊C4C22×C4×C4711yescharacteristic
504C4⋊C4C22×C4×C4711yescharacteristic
505C4⋊C4C22×C4×C4711yescharacteristic
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C22⋊C4—21no—
513C22⋊C4—21no—
514C22⋊C4—21no—
515C42—21no—
516C42C22×C4×C4711yescharacteristic
517C42C2×D4×C4711yescharacteristic
518C42#41×C4711yescharacteristic
519C42C24×C4711yescharacteristic
520C23—21no—
521C23—21no—
522C23—21no—
523C23C4×D4×C4711yescharacteristic
524Q8—21no—
525Q8—21no—
526Q8—42no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—21no—
531D4—21no—
532D4—21no—
533D4—42no—
534D4—42no—
535D4—42no—
536D4—81no—
537D4—81no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4C4×D4×C4711yescharacteristic
555C2×C4C4×D4×C4711yescharacteristic
556C2×C4C4×D4×C4711yescharacteristic
557C2×C4C23×C4×C4711yescharacteristic
558C2×C4C22×D4×C4711yescharacteristic
559C2×C4C2×#41×C4711yescharacteristic
560C8—22no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—41no—
568C8—41no—
569C8—41no—
570C8—41no—
571C8—41no—
572C8#131×C4712yescomplemented
573C8AGL(1,ℤ/8)×C4712yes—
574C22—21no—
575C22—21no—
576C22—21no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22C2×C4×D4×C4711yescharacteristic
587C4—21no—
588C4—21no—
589C4—21no—
590C4—21no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4—41no—
595C4—41no—
596C4C2×#131×C4711yescharacteristic
597C4C47×#56811yescharacteristic
598C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
599C4C47×#57511yescharacteristic
600C2—41no—
601C2—81no—
602C2—81no—
603C2—81no—
604C2C47×#293511yescharacteristic
605C2C4×AGL(1,ℤ/8)×C4711yescharacteristic
606C2C47×#295611yescharacteristic
subgroupG/H
centerC2×C4×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC42C24×C47
socleC22×C47C2×C4×D4
prime radicalC47×#3171C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C47 ◁ C4×M16×C47 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2969C2semidirect
3. C47×#2935C2semidirect
4. C47×#1594C2semidirect
5. C47×#1590C2semidirect
6. C47×#1588C2semidirect
7. C47×#1586C2semidirect
8. C47×#1582C2semidirect
9. C47×#1581C2semidirect
10. C47×SD16⋊C8C2semidirect
11. C8×D8×C47C2semidirect
12. C47×#1565C2semidirect
13. C47×#1484C2semidirect
14. C47×#1483C2semidirect
15. C47×#1455C2semidirect
268. C8×C47#131semidirect
270. #18076C47direct (N × H)
298. #2969C2×C47semidirect
299. #2935C2×C47semidirect
300. #1594C2×C47semidirect
301. #1590C2×C47semidirect
302. #1588C2×C47semidirect
303. #1586C2×C47semidirect
304. #1582C2×C47semidirect
305. #1581C2×C47semidirect
306. SD16⋊C8C2×C47semidirect
307. C8×D8C2×C47semidirect
308. #1565C2×C47semidirect
309. #1484C2×C47semidirect
310. #1483C2×C47semidirect
311. #1455C2×C47semidirect
370. C47#18076direct (N × H)
572. C8#131×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#31712
C47×#29692
C47×#29352
C47×#15942
C47×#15902
C47×#15882
C47×#15862
C47×#15822
C47×#15812
C47×SD16⋊C82
C8×D8×C472
C47×#15652
C47×#14842
C47×#14832
C47×#14552
#1807647