Finite Group Databasebeta

← D47×#3189 #27086818

Subgroups — D47×#3189 #27086818

Order 12032.

2354 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D47C212yesmaximal
2#20254163C211yesmaximal, characteristic, complemented
3#20254162C214yesmaximal, complemented
4#20254161C214yesmaximal, complemented
5#20254160C212yesmaximal, complemented
6#20254159C214yesmaximal, complemented
7#484×D47C214yesmaximal, complemented
8#467×D47C214yesmaximal, complemented
9#451×D47C214yesmaximal, complemented
10C2×C22⋊C8×D47C211yesmaximal, characteristic
11C47×#3189C211yesmaximal, characteristic, complemented
12C22×Q8×D47C2212yes—
13C23×C4×D47C2211yescharacteristic
14C2×Q16×D47C2214yescomplemented
15C22×C8×D47C2212yes—
16C2×#13094004C2212yes—
17C2×#13094003C2212yes—
18C2×#13094002—22no—
19C2×#13094001—22no—
20C2×#13094000C2212yes—
21C22⋊Q8×D47—22no—
22C22⋊Q8×D47—22no—
23C22⋊Q8×D47—22no—
24C22⋊Q8×D47—22no—
25C22⋊Q8×D47C2214yes—
26C22⋊Q8×D47C2214yes—
27C22⋊Q8×D47C2214yes—
28C22⋊Q8×D47C2214yes—
29C2×C4⋊C4×D47—22no—
30C2×C4⋊C4×D47C2212yes—
31C2×C22⋊C4×D47—22no—
32#15689460C2218yescomplemented
33#15689459C2214yescomplemented
34#15689458C2214yescomplemented
35#15689457C2218yescomplemented
36#15689456C2214yescomplemented
37#15689365C2214yescomplemented
38#15689364C2214yescomplemented
39#15689363C2218yescomplemented
40#15689362C2218yescomplemented
41#15689361C2214yescomplemented
42#15689281C2214yescomplemented
43#15689280C2218yescomplemented
44#15689279C2214yescomplemented
45#15689278C2214yescomplemented
46#15689277C2218yescomplemented
47#107×D47C2214yescomplemented
48#103×D47C2218yescomplemented
49C2×C22⋊(C47⋊C8)C2211yescharacteristic
50C2×(C2×D47)⋊C8C2212yes—
51C22⋊C8×D47C2214yes—
52C22⋊C8×D47C2214yes—
53C2×C22⋊Q8×C47C2212yes—
54C47×#484C2214yescomplemented
55C47×#467C2214yescomplemented
56C47×#451C2214yescomplemented
57C2×C22⋊C8×C47C2211yescharacteristic
58C24×D47D411yescharacteristic
59C22×Dic94—22no—
60C22×Dic94C2312yes—
61C2×Q8×D47—22no—
62C2×Q8×D47—22no—
63C2×Q8×D47—48no—
64C2×Q8×D47C2314yes—
65C2×Q8×D47C2314yes—
66C23×Dic47D411yescharacteristic
67C22×C4×D47—22no—
68C22×C4×D47—22no—
69C22×C4×D47—44no—
70C22×C4×D47D412yes—
71C22×C4×D47D411yescharacteristic
72C22×C4×D47D411yescharacteristic
73C22×C4×D47D412yes—
74C22×C4×D47C2312yes—
75C22×C4×D47C2311yescharacteristic
76C22×C4×D47C2312yes—
77C22×C4×D47C2311yescharacteristic
78C2×Dic188C2314yescomplemented
79C2×#10625337C2318yescomplemented
80Q16×D47—48no—
81C22×C47⋊C8C2312yes—
82C2×C8×D47—44no—
83C2×C8×D47C2314yes—
84C2×C8×D47C2314yes—
85#13094004—22no—
86#13094004—22no—
87#13094004C2314yes—
88#13094004C2314yes—
89#13094003—22no—
90#13094003—22no—
91#13094003C2314yes—
92#13094003C2314yes—
93#13094002—24no—
94#13094002—24no—
95#13094002—24no—
96#13094002—24no—
97#13094001—24no—
98#13094001—24no—
99#13094001—24no—
100#13094001—24no—
101#13094000—22no—
102#13094000—22no—
103#13094000C2314yes—
104#13094000C2314yes—
105C2×C4⋊Dic47—22no—
106C2×C4⋊Dic47C2312yes—
107C2×Dic47⋊C4—22no—
108C2×Dic47⋊C4—22no—
109C2×Dic47⋊C4—22no—
110C4⋊C4×D47—24no—
111C4⋊C4×D47—24no—
112C4⋊C4×D47—24no—
113C4⋊C4×D47—24no—
114C4⋊C4×D47—22no—
115C4⋊C4×D47—22no—
116C4⋊C4×D47C2314yes—
117C4⋊C4×D47C2314yes—
118C2×C22⋊Dic47—22no—
119C2×(C2×D47)⋊C4—22no—
120C2×(C2×D47)⋊C4—22no—
121C22⋊C4×D47—24no—
122C22⋊C4×D47—24no—
123C22⋊C4×D47—24no—
124C22⋊C4×D47—24no—
125#13093958C2314yescomplemented
126#13093957C2318yescomplemented
127#13093949C2318yescomplemented
128#13093948C2318yescomplemented
129#13093947C2318yescomplemented
130C22⋊(C47⋊C8)C2314yes—
131(C2×D47)⋊C8C2318yes—
132C22×Q8×C47C2312yes—
133C23×C4×C47C2311yescharacteristic
134C2×Q16×C47C2314yescomplemented
135C22×C8×C47C2312yes—
136C22⋊Q8×C47—22no—
137C22⋊Q8×C47—22no—
138C22⋊Q8×C47C2314yes—
139C22⋊Q8×C47C2314yes—
140C2×C4⋊C4×C47—22no—
141C2×C4⋊C4×C47C2312yes—
142C2×C22⋊C4×C47—22no—
143#107×C47C2314yescomplemented
144#103×C47C2318yescomplemented
145C22⋊C8×C47C2314yes—
146C24×C47C2×D411yescharacteristic
147C23×D47—42no—
148C23×D47—42no—
149C23×D47Q1618yescomplemented
150C23×D47C2×D411yescharacteristic
151C23×D47C2×D412yes—
152C23×D47C2×D411yescharacteristic
153C23×D47C2×D412yes—
154C2×Q8×C47—22no—
155C2×Q8×C47—44no—
156C2×Q8×C47C2414yes—
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—42no—
160C22×C4×C47C2×D412yes—
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2412yes—
163C22×C4×C47C2411yescharacteristic
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—42no—
167C22×Dic47C2×D412yes—
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D412yes—
170C22×Dic47C2×D411yescharacteristic
171Q8×D47—216no—
172Q8×D47—48no—
173Q8×D47—48no—
174Q8×D47—48no—
175C2×C4×D47—24no—
176C2×C4×D47—28no—
177C2×C4×D47—24no—
178C2×C4×D47—24no—
179C2×C4×D47—24no—
180C2×C4×D47—24no—
181C2×C4×D47—44no—
182C2×C4×D47—42no—
183C2×C4×D47—44no—
184C2×C4×D47—42no—
185C2×C4×D47—44no—
186C2×C4×D47—42no—
187C2×C4×D47—48no—
188C2×C4×D47—48no—
189C2×C4×D47C2×D411yescharacteristic
190C2×C4×D47C2×D412yes—
191C2×C4×D47C2×D412yes—
192C2×C4×D47C2×D411yescharacteristic
193C2×C4×D47C2×D412yes—
194C2×C4×D47C2×D412yes—
195C2×C4×D47C2×D412yes—
196C2×C4×D47C2412yes—
197C2×C4×D47C2411yescharacteristic
198C2×C4×D47C2411yescharacteristic
199C2×Dic94—22no—
200C2×Dic94—24no—
201C2×Dic94—24no—
202C2×Dic94—44no—
203C2×Dic94—48no—
204C2×Dic94C2414yes—
205Q16×C47—44no—
206C2×C8×C47—42no—
207C2×C8×C47C2414yes—
208C4⋊C4×C47—24no—
209C4⋊C4×C47—24no—
210C4⋊C4×C47—22no—
211C4⋊C4×C47C2414yes—
212C22⋊C4×C47—24no—
213C22⋊C4×C47—24no—
214C22⋊Dic47—24no—
215C22⋊Dic47—24no—
216#10625337—48no—
217(C2×D47)⋊C4—24no—
218(C2×D47)⋊C4—24no—
219(C2×D47)⋊C4—24no—
220(C2×D47)⋊C4—24no—
221C4⋊Dic47—22no—
222C4⋊Dic47—24no—
223C4⋊Dic47—24no—
224C4⋊Dic47C2414yes—
225Dic47⋊C4—24no—
226Dic47⋊C4—24no—
227Dic47⋊C4—24no—
228Dic47⋊C4—24no—
229Dic47⋊C4—24no—
230Dic47⋊C4—24no—
231C2×C47⋊C8—42no—
232C2×C47⋊C8C2414yes—
233Dic188—44no—
234C8×D47—28no—
235C8×D47—44no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47C2×Q1614yescomplemented
239C23×C47C22×D411yescharacteristic
240C23×C47C22×D412yes—
241C22×D47—24no—
242C22×D47—22no—
243C22×D47—24no—
244C22×D47—22no—
245C22×D47—416no—
246C22×D47—41no—
247C22×D47—42no—
248C22×D47—41no—
249C22×D47—42no—
250C22×D47C2×Q1614yes—
251C22×D47C2×Q1618yes—
252C22×D47C2×Q1614yescomplemented
253C22×D47C2×Q1618yescomplemented
254C22×D47C22×D411yescharacteristic
255C22×D47C22×D412yes—
256C22×D47C22×D411yescharacteristic
257Q8×C47—28no—
258Q8×C47—44no—
259C2×C4×C47—22no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—41no—
264C2×C4×C47—42no—
265C2×C4×C47—44no—
266C2×C4×C47—44no—
267C2×C4×C47C22×D411yescharacteristic
268C2×C4×C47C22×D412yes—
269C2×C4×C47C2511yescharacteristic
270C2×Dic47—24no—
271C2×Dic47—22no—
272C2×Dic47—24no—
273C2×Dic47—24no—
274C2×Dic47—41no—
275C2×Dic47—42no—
276C2×Dic47—44no—
277C2×Dic47—44no—
278C2×Dic47C22×D411yescharacteristic
279C2×Dic47C22×D412yes—
280C2×Dic47C22×D411yescharacteristic
281C4×D47—22no—
282C4×D47—24no—
283C4×D47—22no—
284C4×D47—24no—
285C4×D47—22no—
286C4×D47—24no—
287C4×D47—42no—
288C4×D47—42no—
289C4×D47—42no—
290C4×D47—48no—
291C4×D47—48no—
292C4×D47—48no—
293C4×D47—48no—
294C4×D47H(5,𝔽2)14yes—
295Dic94—28no—
296Dic94—48no—
297Dic94—44no—
298Dic94—48no—
299C8×C47—24no—
300C47⋊C8—24no—
301C2×#3189—471nomaximal, Sylow
302C22×C47—22no—
303C22×C47—21no—
304C22×C47—22no—
305C22×C47—21no—
306C22×C47—44no—
307C22×C47C22×Q1612yes—
308C22×C47C22×Q1614yes—
309C22×C47C23×D411yescharacteristic
310C2×D47—22no—
311C2×D47—21no—
312C2×D47—22no—
313C2×D47—21no—
314C2×D47—216no—
315C2×D47—28no—
316C2×D47—44no—
317C2×D47—48no—
318C2×D47#53412yes—
319C2×D47C22×Q1612yes—
320C2×D47C22×Q1614yes—
321C2×D47C22×Q1612yes—
322C2×D47#57512yes—
323C4×C47—22no—
324C4×C47—21no—
325C4×C47—44no—
326C4×C47—44no—
327C4×C47C2×H(5,𝔽2)12yes—
328Dic47—22no—
329Dic47—21no—
330Dic47—44no—
331Dic47—44no—
332Dic47#53412yes—
333C22×C22⋊Q8—472no—
334#3189—474no—
335#3189—474no—
336#3189—474no—
337#3189—471no—
338#3189—472no—
339#3189D4711yescharacteristic, direct product factor
340C2×#484—474no—
341C2×#467—474no—
342C2×#451—474no—
343C22×C22⋊C8—471no—
344C2×C47—24no—
345C2×C47—22no—
346C2×C47C2×#53411yescharacteristic
347C2×C47C23×Q1611yescharacteristic
348C2×C47C2×#57511yescharacteristic
349D47—24no—
350D47—22no—
351D47#318914yesdirect product factor
352C23×Q8—472no—
353C24×C4—471no—
354C22×Q16—474no—
355C23×C8—472no—
356C2×C22⋊Q8—472no—
357C2×C22⋊Q8—472no—
358C2×C22⋊Q8—474no—
359C2×C22⋊Q8—474no—
360C2×C22⋊Q8—474no—
361C2×C22⋊Q8—474no—
362C2×C22⋊Q8—472no—
363C2×C22⋊Q8—942no—
364C2×C22⋊Q8—942no—
365C2×C22⋊Q8—942no—
366C2×C22⋊Q8—942no—
367C2×C22⋊Q8—942no—
368C2×C22⋊Q8—942no—
369C2×C22⋊Q8C2×D4712yes—
370C22×C4⋊C4—472no—
371C22×C4⋊C4—942no—
372C22×C22⋊C4—942no—
373#484—474no—
374#484—474no—
375#484—478no—
376#484—478no—
377#484—474no—
378#484C2×D4714yescomplemented
379#467—474no—
380#467—474no—
381#467—478no—
382#467—474no—
383#467—478no—
384#467C2×D4714yescomplemented
385#451—474no—
386#451—478no—
387#451—474no—
388#451—478no—
389#451—474no—
390#451C2×D4714yescomplemented
391C2×#107—474no—
392C2×#103—478no—
393C2×C22⋊C8—471no—
394C2×C22⋊C8—472no—
395C2×C22⋊C8—474no—
396C2×C22⋊C8—474no—
397C2×C22⋊C8C2×D4711yescharacteristic
398C47C2×#318911yescharacteristic, complemented, Sylow
399C25—471no—
400C22×Q8—474no—
401C22×Q8—474no—
402C22×Q8—472no—
403C22×Q8—942no—
404C22×Q8—942no—
405C22×Q8—942no—
406C22×Q8—1888no—
407C22×Q8C22×D4712yes—
408C23×C4—471no—
409C23×C4—472no—
410C23×C4—471no—
411C23×C4—472no—
412C23×C4—472no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—472no—
416C23×C4—471no—
417C23×C4—942no—
418C23×C4—942no—
419C23×C4—1884no—
420C23×C4C22×D4711yescharacteristic
421C2×Q16—478no—
422C2×Q16—474no—
423C2×Q16—1888no—
424C2×Q16C22×D4714yescomplemented
425C22×C8—472no—
426C22×C8—474no—
427C22×C8—474no—
428C22×C8—1884no—
429C22×C8C22×D4712yes—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8—474no—
433C22⋊Q8—474no—
434C22⋊Q8—474no—
435C22⋊Q8—474no—
436C22⋊Q8—474no—
437C22⋊Q8—474no—
438C22⋊Q8—944no—
439C22⋊Q8—944no—
440C22⋊Q8—944no—
441C22⋊Q8—944no—
442C22⋊Q8—944no—
443C22⋊Q8—944no—
444C22⋊Q8—944no—
445C22⋊Q8—944no—
446C22⋊Q8—942no—
447C22⋊Q8—942no—
448C22⋊Q8—942no—
449C22⋊Q8—942no—
450C22⋊Q8—942no—
451C22⋊Q8—942no—
452C22⋊Q8C22×D4714yes—
453C22⋊Q8C22×D4714yes—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—472no—
456C2×C4⋊C4—474no—
457C2×C4⋊C4—474no—
458C2×C4⋊C4—942no—
459C2×C4⋊C4—942no—
460C2×C4⋊C4—944no—
461C2×C4⋊C4—944no—
462C2×C4⋊C4—944no—
463C2×C4⋊C4—944no—
464C2×C4⋊C4—942no—
465C2×C4⋊C4—942no—
466C2×C4⋊C4—942no—
467C2×C4⋊C4—942no—
468C2×C4⋊C4C22×D4712yes—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—944no—
471C2×C22⋊C4—944no—
472C2×C22⋊C4—944no—
473C2×C22⋊C4—944no—
474C2×C22⋊C4—942no—
475C2×C22⋊C4—942no—
476C2×C22⋊C4—942no—
477#107—474no—
478#107—478no—
479#107C22×D4714yescomplemented
480#103—478no—
481#103—478no—
482#103—478no—
483#103C22×D4718yescomplemented
484C22⋊C8—474no—
485C22⋊C8—478no—
486C22⋊C8C22×D4714yes—
487C24—471no—
488C24—472no—
489C24—478no—
490C24—472no—
491C24—471no—
492C24—1882no—
493C24—1882no—
494C24D4×D4711yescharacteristic
495C2×Q8—22no—
496C2×Q8—44no—
497C2×Q8—474no—
498C2×Q8—944no—
499C2×Q8—944no—
500C2×Q8—9416no—
501C2×Q8—942no—
502C2×Q8—1884no—
503C2×Q8—1888no—
504C2×Q8—1888no—
505C2×Q8—1888no—
506C2×Q8—1888no—
507C2×Q8C23×D4714yes—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—42no—
511C22×C4—471no—
512C22×C4—472no—
513C22×C4—471no—
514C22×C4—472no—
515C22×C4—471no—
516C22×C4—471no—
517C22×C4—472no—
518C22×C4—472no—
519C22×C4—471no—
520C22×C4—472no—
521C22×C4—471no—
522C22×C4—472no—
523C22×C4—472no—
524C22×C4—472no—
525C22×C4—944no—
526C22×C4—948no—
527C22×C4—944no—
528C22×C4—944no—
529C22×C4—944no—
530C22×C4—944no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4—1882no—
534C22×C4—1884no—
535C22×C4—1884no—
536C22×C4—1882no—
537C22×C4—1884no—
538C22×C4—1882no—
539C22×C4—1888no—
540C22×C4—1888no—
541C22×C4—1882no—
542C22×C4D4×D4712yes—
543C22×C4D4×D4711yescharacteristic
544C22×C4C23×D4712yes—
545C22×C4C23×D4711yescharacteristic
546Q16—44no—
547Q16—1884no—
548Q16—1888no—
549C2×C8—42no—
550C2×C8—474no—
551C2×C8—948no—
552C2×C8—1884no—
553C2×C8—1882no—
554C2×C8C23×D4714yes—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—474no—
559C4⋊C4—944no—
560C4⋊C4—944no—
561C4⋊C4—944no—
562C4⋊C4—944no—
563C4⋊C4—944no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—944no—
567C4⋊C4—942no—
568C4⋊C4C23×D4714yes—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—944no—
572C22⋊C4—944no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C22⋊C4—944no—
576C22⋊C4—944no—
577C23—41no—
578C23—41no—
579C23—471no—
580C23—474no—
581C23—478no—
582C23—471no—
583C23—472no—
584C23—478no—
585C23—474no—
586C23—944no—
587C23—942no—
588C23—944no—
589C23—942no—
590C23—1882no—
591C23—1881no—
592C23—1882no—
593C23—1881no—
594C23—18816no—
595C23Q16×D4714yescomplemented
596C23C2×D4×D4711yescharacteristic
597C23C2×D4×D4712yes—
598Q8—28no—
599Q8—44no—
600Q8—948no—
601Q8—1884no—
602Q8—1888no—
603Q8—1888no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—44no—
612C2×C4—471no—
613C2×C4—474no—
614C2×C4—471no—
615C2×C4—472no—
616C2×C4—942no—
617C2×C4—944no—
618C2×C4—942no—
619C2×C4—944no—
620C2×C4—942no—
621C2×C4—944no—
622C2×C4—942no—
623C2×C4—944no—
624C2×C4—944no—
625C2×C4—944no—
626C2×C4—1882no—
627C2×C4—1882no—
628C2×C4—1882no—
629C2×C4—1888no—
630C2×C4—1888no—
631C2×C4—1888no—
632C2×C4—1888no—
633C2×C4—1881no—
634C2×C4—1882no—
635C2×C4—1884no—
636C2×C4—1884no—
637C2×C4C2×D4×D4711yescharacteristic
638C2×C4C2×D4×D4712yes—
639C2×C4C24×D4711yescharacteristic
640C8—24no—
641C8—944no—
642C22—22no—
643C22—21no—
644C22—22no—
645C22—21no—
646C22—44no—
647C22—472no—
648C22—472no—
649C22—472no—
650C22—472no—
651C22—474no—
652C22—9416no—
653C22—948no—
654C22—942no—
655C22—941no—
656C22—942no—
657C22—941no—
658C22—1888no—
659C22—1884no—
660C22C2×Q16×D4712yes—
661C22C2×Q16×D4714yes—
662C22C22×D4×D4711yescharacteristic
663C4—22no—
664C4—21no—
665C4—44no—
666C4—44no—
667C4—472no—
668C4—942no—
669C4—941no—
670C4—1884no—
671C4—1884no—
672C4H(5,𝔽2)×D4712yes—
673C2—24no—
674C2—22no—
675C2—474no—
676C2—944no—
677C2—942no—
678C2#534×D4711yescharacteristic
679C2C22×Q16×D4711yescharacteristic
680C2#575×D4711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3189C2
socleC22×C47C23×D4
prime radicalC24×D47D4
hypercenter#3189D47
hypocenterC47C2×#3189
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3189

Complements

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

NH ≅ G/Ntype
2. #20254163C2semidirect
3. #20254162C2semidirect
4. #20254161C2semidirect
5. #20254160C2semidirect
6. #20254159C2semidirect
7. #484×D47C2semidirect
8. #467×D47C2semidirect
9. #451×D47C2semidirect
11. C47×#3189C2semidirect
14. C2×Q16×D47C22semidirect
32. #15689460C22semidirect
33. #15689459C22semidirect
34. #15689458C22semidirect
35. #15689457C22semidirect
36. #15689456C22semidirect
37. #15689365C22semidirect
38. #15689364C22semidirect
39. #15689363C22semidirect
40. #15689362C22semidirect
41. #15689361C22semidirect
42. #15689281C22semidirect
43. #15689280C22semidirect
44. #15689279C22semidirect
45. #15689278C22semidirect
46. #15689277C22semidirect
47. #107×D47C22semidirect
48. #103×D47C22semidirect
54. C47×#484C22semidirect
55. C47×#467C22semidirect
56. C47×#451C22semidirect
78. C2×Dic188C23semidirect
79. C2×#10625337C23semidirect
125. #13093958C23semidirect
126. #13093957C23semidirect
127. #13093949C23semidirect
128. #13093948C23semidirect
129. #13093947C23semidirect
134. C2×Q16×C47C23semidirect
143. #107×C47C23semidirect
144. #103×C47C23semidirect
149. C23×D47Q16semidirect
238. C23×C47C2×Q16semidirect
252. C22×D47C2×Q16semidirect
253. C22×D47C2×Q16semidirect
339. #3189D47direct (N × H)
351. D47#3189direct (N × H)
378. #484C2×D47semidirect
384. #467C2×D47semidirect
390. #451C2×D47semidirect
398. C47C2×#3189semidirect
424. C2×Q16C22×D47semidirect
479. #107C22×D47semidirect
483. #103C22×D47semidirect
595. C23Q16×D47semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D472
#202541632
#202541622
#202541612
#202541602
#202541592
#484×D472
#467×D472
#451×D472
C2×C22⋊C8×D472
C47×#31892
C2×#318947