Finite Group Databasebeta

← #26375731

Subgroups — #26375731

Order 12032.

2698 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic47C211yesmaximal, characteristic
2#20246344C212yesmaximal, complemented
3#20246315C214yesmaximal, complemented
4D4×Dic47⋊C4C212yesmaximal, complemented
5#20246283C211yesmaximal, characteristic, complemented
6#20246279C211yesmaximal, characteristic, complemented
7#20246250C212yesmaximal, complemented
8#20246244C212yesmaximal, complemented
9#20246218C211yesmaximal, characteristic
10#20245863C212yesmaximal, complemented
11#20245828C214yesmaximal, complemented
12#20245790C211yesmaximal, characteristic, complemented
13#20245779C212yesmaximal, complemented
14C4×D4×Dic47C212yesmaximal, complemented
15C4×#13093980C211yesmaximal, characteristic, complemented
16C2×#15688974C212yesmaximal, complemented
17C47×#2339C211yesmaximal, characteristic
18#41×Dic47C4116yescomplemented
19C2×Q8×Dic47C2211yescharacteristic
20C2×Q8×Dic47C2211yescharacteristic
21C2×D4×Dic47C2212yes—
22C2×D4×Dic47C2211yescharacteristic
23C2×D4×Dic47C2211yescharacteristic
24C2×D4×Dic47C2212yes—
25C2×D4×Dic47C2212yes—
26C2×#13093983C2211yescharacteristic
27C2×#13093983C2212yes—
28C2×#13093980C2212yes—
29C2×#13093980C2212yes—
30C22×Dic47⋊C4C2214yes—
31C22×C4×Dic47C2214yes—
32C22×C4×Dic47C2212yes—
33C22×C4×Dic47C2211yescharacteristic
34#15689030C2212yes—
35#15689021C2212yes—
36#15689019C2212yes—
37#15689017C2214yes—
38#15689011C2214yes—
39#15689008C2214yes—
40#15689008C2214yes—
41#15689006C2214yes—
42#15689006C2214yes—
43#15689003C2214yes—
44#15688996C2214yes—
45#15688995C2214yes—
46#15688992C2212yes—
47#15688990C2212yes—
48#15688990C2212yes—
49#15688987C2214yes—
50#15688987C2212yes—
51#15688986C2212yes—
52#15688983C2211yescharacteristic
53#15688981C2214yes—
54#15688981C2212yes—
55C4⋊C4×Dic47C2212yes—
56C4⋊C4×Dic47C2212yes—
57C4×Dic47⋊C4C2212yes—
58C4×C4⋊Dic47C2212yes—
59#15688974C2212yes—
60#15688974C2212yes—
61#15688974C2211yescharacteristic
62#15688974C2212yes—
63#15688974C2214yes—
64#15688974C2214yes—
65#15688974C2211yescharacteristic
66C22⋊C4×Dic47C2214yes—
67C22⋊C4×Dic47C2214yes—
68C22⋊C4×Dic47C2212yes—
69C4×C22⋊Dic47C2211yescharacteristic
70C4×C22⋊Dic47C2214yes—
71#15688968C2214yes—
72#15688968C2211yescharacteristic
73#15688968C2211yescharacteristic
74C2×C47⋊#95C2212yes—
75C42×Dic47C2212yes—
76C22×#41×C47C2211yescharacteristic
77C2×C4×D4×C47C2212yes—
78C47×#391C2212yes—
79C47×#386C2214yes—
80C47×#381C2212yes—
81C47×#380C2211yescharacteristic
82C4×C22⋊C4×C47C2211yescharacteristic
83C2×#95×C47C2212yes—
84C23×Dic47C2314yes—
85C23×Dic47C2312yes—
86C23×Dic47C2311yescharacteristic
87C23×Dic47C2312yes—
88C23×Dic47C2311yescharacteristic
89Q8×Dic47C2×C418yescomplemented
90Q8×Dic47C2×C418yescomplemented
91D4×Dic47—28no—
92D4×Dic47C2×C418yes—
93D4×Dic47C2×C418yes—
94D4×Dic47C2×C4116yescomplemented
95D4×Dic47C2×C4116yescomplemented
96#13093983C2×C418yescomplemented
97#13093983C2×C4116yescomplemented
98#13093980—28no—
99#13093980—44no—
100C2×C4⋊Dic47C2312yes—
101C2×C4⋊Dic47C2311yescharacteristic
102C2×C4⋊Dic47C2312yes—
103C2×C4⋊Dic47C2312yes—
104C2×C4⋊Dic47C2311yescharacteristic
105C2×Dic47⋊C4—216no—
106C2×Dic47⋊C4C2314yes—
107C2×Dic47⋊C4C2314yes—
108C2×Dic47⋊C4C2314yes—
109C2×Dic47⋊C4C2312yes—
110C2×Dic47⋊C4C2314yes—
111C2×Dic47⋊C4C2312yes—
112C2×C22⋊Dic47C2314yes—
113C2×C22⋊Dic47C2312yes—
114C2×C22⋊Dic47C2312yes—
115C2×C22⋊Dic47C2312yes—
116C2×C22⋊Dic47C2312yes—
117C2×C22⋊Dic47C2312yes—
118C2×C4×Dic47—48no—
119C2×C4×Dic47C2×C418yescomplemented
120C2×C4×Dic47C2×C4116yescomplemented
121C2×C4×Dic47C2312yes—
122C2×C4×Dic47C2312yes—
123C2×C4×Dic47C2312yes—
124C2×C4×Dic47C2312yes—
125C2×C4×Dic47C2312yes—
126C2×C4×Dic47C2314yes—
127C2×C4×Dic47C2314yes—
128C2×C4×Dic47C2314yes—
129C2×C4×Dic47C2311yescharacteristic
130C2×C4×Dic47C2312yes—
131C2×C4×Dic47C2311yescharacteristic
132C2×C4×Dic47C2311yescharacteristic
133C2×C4×Dic47C2312yes—
134C2×C4×Dic47C2312yes—
135C2×C4×Dic47C2311yescharacteristic
136C47⋊#95C2311yescharacteristic
137C47⋊#95C2312yes—
138C47⋊#95C2314yes—
139C47⋊#95C2311yescharacteristic
140C47⋊#95C2312yes—
141C47⋊#95C2312yes—
142C47⋊#95C2314yes—
143C47⋊#95C2314yes—
144C47⋊#95C2314yes—
145C47⋊#95C2314yes—
146C47⋊#95C2314yes—
147C47⋊#95C2314yes—
148C2×#41×C47—28no—
149C2×#41×C47C2×C418yes—
150C22×Q8×C47C2311yescharacteristic
151C22×D4×C47C2312yes—
152C22×D4×C47C2311yescharacteristic
153C23×C4×C47C2314yes—
154C23×C4×C47C2312yes—
155C23×C4×C47C2311yescharacteristic
156C4×D4×C47—28no—
157C2×C4⋊C4×C47C2312yes—
158C2×C22⋊C4×C47C2314yes—
159C2×C22⋊C4×C47C2312yes—
160C2×C22⋊C4×C47C2312yes—
161C2×C42×C47C2312yes—
162#95×C47C2311yescharacteristic
163#95×C47C2311yescharacteristic
164#95×C47C2314yes—
165#95×C47C2312yes—
166#95×C47C2314yes—
167C24×C47C2411yescharacteristic
168C24×C47C2412yes—
169#41×C47—232no—
170C2×Q8×C47—24no—
171C2×Q8×C47C22×C414yes—
172C2×D4×C47—28no—
173C2×D4×C47C22×C418yes—
174C2×D4×C47C22×C414yes—
175C2×D4×C47#4118yes—
176C22×C4×C47—28no—
177C22×C4×C47—24no—
178C22×C4×C47—28no—
179C22×C4×C47—28no—
180C22×C4×C47—44no—
181C22×C4×C47C22×C418yes—
182C22×C4×C47C22×C414yes—
183C22×C4×C47C2412yes—
184C22×C4×C47C2414yes—
185C22×C4×C47C2411yescharacteristic
186C22×C4×C47C2412yes—
187C22×C4×C47C2412yes—
188C22×C4×C47C2411yescharacteristic
189C22×Dic47—28no—
190C22×Dic47—24no—
191C22×Dic47—24no—
192C22×Dic47—22no—
193C22×Dic47—24no—
194C22×Dic47—22no—
195C22×Dic47—28no—
196C22×Dic47—28no—
197C22×Dic47—44no—
198C22×Dic47C22×C418yes—
199C22×Dic47C22×C418yes—
200C22×Dic47C22×C414yes—
201C22×Dic47C22×C414yes—
202C22×Dic47C2412yes—
203C22×Dic47C2414yes—
204C22×Dic47C2411yescharacteristic
205C22×Dic47C2412yes—
206C22×Dic47C2412yes—
207C22×Dic47C2411yescharacteristic
208C22×Dic47C2412yes—
209C22×Dic47C2411yescharacteristic
210C22×Dic47C2411yescharacteristic
211C4⋊C4×C47—24no—
212C22⋊C4×C47—28no—
213C22⋊C4×C47—24no—
214C22⋊C4×C47—42no—
215C42×C47—24no—
216C22⋊Dic47—28no—
217C22⋊Dic47—24no—
218C22⋊Dic47—42no—
219C22⋊Dic47C22×C418yes—
220C22⋊Dic47C22×C418yes—
221C22⋊Dic47C22×C418yes—
222C4⋊Dic47—24no—
223C4⋊Dic47C22×C414yes—
224C4⋊Dic47C22×C414yes—
225C4⋊Dic47C22×C418yes—
226C4⋊Dic47C22×C418yes—
227Dic47⋊C4—28no—
228Dic47⋊C4—28no—
229Dic47⋊C4—28no—
230Dic47⋊C4—24no—
231Dic47⋊C4—44no—
232Dic47⋊C4#4118yescomplemented
233C4×Dic47—24no—
234C4×Dic47—24no—
235C4×Dic47—24no—
236C4×Dic47—24no—
237C4×Dic47—28no—
238C4×Dic47—24no—
239C4×Dic47—44no—
240C4×Dic47—44no—
241C4×Dic47C22×C414yes—
242C4×Dic47C22×C414yes—
243C4×Dic47C22×C418yes—
244C4×Dic47C22×C414yes—
245C4×Dic47C22×C414yes—
246C4×Dic47C22×C418yes—
247C4×Dic47C22×C418yes—
248C23×C47—24no—
249C23×C47—22no—
250C23×C47—22no—
251C23×C47—22no—
252C23×C47—22no—
253C23×C47—21no—
254C23×C47—21no—
255C23×C47C23×C412yes—
256C23×C47C23×C414yes—
257C23×C47C2×#4118yes—
258C23×C47C2511yescharacteristic
259Q8×C47—28no—
260D4×C47—216no—
261D4×C47#117116yescomplemented
262C2×C4×C47—216no—
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—24no—
266C2×C4×C47—22no—
267C2×C4×C47—28no—
268C2×C4×C47—22no—
269C2×C4×C47—24no—
270C2×C4×C47—22no—
271C2×C4×C47—24no—
272C2×C4×C47—24no—
273C2×C4×C47—22no—
274C2×C4×C47—416no—
275C2×C4×C47C23×C412yes—
276C2×C4×C47C23×C414yes—
277C2×C4×C47C23×C412yes—
278C2×C4×C47C2×#4114yes—
279C2×C4×C47C2×#4114yes—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—24no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—21no—
286C2×Dic47—22no—
287C2×Dic47—21no—
288C2×Dic47—216no—
289C2×Dic47—28no—
290C2×Dic47—216no—
291C2×Dic47—28no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—24no—
295C2×Dic47—24no—
296C2×Dic47—24no—
297C2×Dic47—22no—
298C2×Dic47—416no—
299C2×Dic47C23×C412yes—
300C2×Dic47C23×C414yes—
301C2×Dic47C23×C412yes—
302C2×Dic47C23×C414yes—
303C2×Dic47C23×C412yes—
304C2×Dic47C23×C412yes—
305C2×Dic47C2×#4114yes—
306C2×Dic47C2×#4114yes—
307C2×Dic47H(5,𝔽2)12yes—
308C2×Dic472−1+412yes—
309#34127—471nomaximal, Sylow
310C22×C47—24no—
311C22×C47—24no—
312C22×C47—28no—
313C22×C47—28no—
314C22×C47—22no—
315C22×C47—22no—
316C22×C47—22no—
317C22×C47—42no—
318C22×C47—42no—
319C22×C47C2×#11718yes—
320C22×C47C24×C411yescharacteristic
321C22×C47C22×#4112yes—
322C22×C47C22×#4112yes—
323C22×C47C2×H(5,𝔽2)11yescharacteristic
324C22×C47C2×2−1+411yescharacteristic
325C4×C47—22no—
326C4×C47—24no—
327C4×C47—24no—
328C4×C47—44no—
329C4×C47—42no—
330C4×C47C2×#11714yes—
331Dic47—22no—
332Dic47—24no—
333Dic47—24no—
334Dic47—22no—
335Dic47—24no—
336Dic47—44no—
337Dic47—42no—
338Dic47C4×#4114yes—
339Dic47#52014yes—
340C2×C4×#41—471no—
341#2355—472no—
342#2352—474no—
343D4×C4⋊C4—472no—
344#2347—471no—
345#2347—471no—
346#2343—472no—
347#2343—472no—
348#2339—471no—
349#2339D4711yescharacteristic
350#2295—472no—
351#2290—474no—
352#2285—471no—
353#2283—472no—
354C42×D4—472no—
355C4×#117—471no—
356C2×C4×C4⋊C4—472no—
357C2×C47—28no—
358C2×C47—42no—
359C2×C47C22×#11711yescharacteristic
360C2×C47C2×C4×#4111yescharacteristic
361C2×C47C2×#52011yescharacteristic
362C2×C47#348112yes—
363C2×C47#348212yes—
364C22×#41C2×D4711yescharacteristic
365C4×#41—4716no—
366C2×C4×Q8—471no—
367C2×C4×Q8—471no—
368C2×C4×D4—471no—
369C2×C4×D4—472no—
370C2×C4×D4—471no—
371C2×C4×D4—472no—
372C2×C4×D4—472no—
373C2×C4×D4C2×D4712yes—
374C2×#117—472no—
375C2×#117—471no—
376C2×#117—472no—
377C2×#117—472no—
378C22×C4⋊C4—474no—
379C22×C42—472no—
380C22×C42—471no—
381C22×C42—474no—
382#391—472no—
383#391C2×D4712yes—
384#389—472no—
385#389—472no—
386#388—474no—
387#388—474no—
388#387—474no—
389#387—474no—
390#387—474no—
391#387—474no—
392#386—474no—
393#386C2×D4714yes—
394#385—474no—
395#385—474no—
396#384—472no—
397#383—472no—
398#383—472no—
399#382—472no—
400#382—474no—
401#381—472no—
402#381C2×D4712yes—
403#380—471no—
404#380—474no—
405#380—472no—
406#380C2×D4711yescharacteristic
407C4×C4⋊C4—472no—
408C4×C4⋊C4—472no—
409C4×C4⋊C4—472no—
410C4×C4⋊C4—472no—
411C4×C4⋊C4—472no—
412C4×C4⋊C4—472no—
413C4×C4⋊C4—474no—
414C4×C4⋊C4—471no—
415C4×C4⋊C4—472no—
416C4×C4⋊C4—474no—
417C4×C4⋊C4—471no—
418C4×C22⋊C4—471no—
419C4×C22⋊C4—474no—
420C4×C22⋊C4—474no—
421C4×C22⋊C4—472no—
422C4×C22⋊C4—474no—
423C4×C22⋊C4C2×D4711yescharacteristic
424#376—471no—
425#376—471no—
426#376—474no—
427C2×#95—472no—
428C2×#95C2×D4712yes—
429C43—472no—
430C47#3412711yescharacteristic, complemented, Sylow
431C2×#41—28no—
432C2×#41C4×D4718yes—
433C22×Q8C22×D4711yescharacteristic
434C22×D4C22×D4712yes—
435C22×D4C22×D4711yescharacteristic
436C23×C4—472no—
437C23×C4—471no—
438C23×C4—471no—
439C23×C4—472no—
440C23×C4—474no—
441C23×C4C22×D4714yes—
442C23×C4C22×D4712yes—
443C23×C4C22×D4711yescharacteristic
444C4×Q8—478no—
445C4×Q8—478no—
446C4×D4—28no—
447C4×D4—478no—
448C4×D4—478no—
449C4×D4—4716no—
450C4×D4—4716no—
451C4×D4—948no—
452#117—4716no—
453#117—478no—
454#117—948no—
455#117—1884no—
456C2×C4⋊C4—472no—
457C2×C4⋊C4—471no—
458C2×C4⋊C4—472no—
459C2×C4⋊C4—472no—
460C2×C4⋊C4—471no—
461C2×C4⋊C4—474no—
462C2×C4⋊C4—474no—
463C2×C4⋊C4—474no—
464C2×C4⋊C4—472no—
465C2×C4⋊C4—472no—
466C2×C4⋊C4—474no—
467C2×C4⋊C4—9416no—
468C2×C4⋊C4C22×D4712yes—
469C2×C22⋊C4—472no—
470C2×C22⋊C4—472no—
471C2×C22⋊C4—472no—
472C2×C22⋊C4—472no—
473C2×C22⋊C4—474no—
474C2×C22⋊C4—472no—
475C2×C22⋊C4C22×D4712yes—
476C2×C22⋊C4C22×D4714yes—
477C2×C22⋊C4C22×D4712yes—
478C2×C42—4716no—
479C2×C42—478no—
480C2×C42—471no—
481C2×C42—472no—
482C2×C42—471no—
483C2×C42—472no—
484C2×C42—472no—
485C2×C42—471no—
486C2×C42—471no—
487C2×C42—472no—
488C2×C42—472no—
489C2×C42—474no—
490C2×C42—472no—
491C2×C42—472no—
492C2×C42—472no—
493C2×C42—474no—
494C2×C42—474no—
495C2×C42—1888no—
496C2×C42C22×D4712yes—
497#95—471no—
498#95—472no—
499#95—474no—
500#95—471no—
501#95—472no—
502#95—472no—
503#95—474no—
504#95—474no—
505#95—474no—
506#95—474no—
507#95—474no—
508#95—474no—
509#95C22×D4711yescharacteristic
510#95C22×D4712yes—
511#95C22×D4714yes—
512#95C22×D4711yescharacteristic
513#95C22×D4714yes—
514C24C23×D4711yescharacteristic
515C24C23×D4712yes—
516#41—232no—
517C2×Q8—24no—
518C2×Q8C2×C4×D4714yes—
519C2×D4—28no—
520C2×D4C2×C4×D4718yes—
521C2×D4C2×C4×D4714yes—
522C2×D4#1062535218yes—
523C22×C4—28no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—28no—
527C22×C4—44no—
528C22×C4—471no—
529C22×C4—471no—
530C22×C4—474no—
531C22×C4—474no—
532C22×C4—478no—
533C22×C4—478no—
534C22×C4—471no—
535C22×C4—472no—
536C22×C4—472no—
537C22×C4—472no—
538C22×C4—471no—
539C22×C4—472no—
540C22×C4—474no—
541C22×C4—944no—
542C22×C4—948no—
543C22×C4—944no—
544C22×C4—942no—
545C22×C4—944no—
546C22×C4—942no—
547C22×C4—948no—
548C22×C4—948no—
549C22×C4—1884no—
550C22×C4C2×C4×D4718yes—
551C22×C4C2×C4×D4714yes—
552C22×C4C23×D4712yes—
553C22×C4C23×D4714yes—
554C22×C4C23×D4711yescharacteristic
555C22×C4C23×D4712yes—
556C22×C4C23×D4712yes—
557C22×C4C23×D4711yescharacteristic
558C4⋊C4—24no—
559C4⋊C4—478no—
560C4⋊C4—478no—
561C4⋊C4—474no—
562C4⋊C4—474no—
563C4⋊C4—478no—
564C4⋊C4—948no—
565C4⋊C4—948no—
566C4⋊C4—944no—
567C4⋊C4—948no—
568C4⋊C4—944no—
569C4⋊C4—1884no—
570C22⋊C4—28no—
571C22⋊C4—24no—
572C22⋊C4—42no—
573C22⋊C4—478no—
574C22⋊C4—478no—
575C22⋊C4—478no—
576C22⋊C4—944no—
577C22⋊C4—948no—
578C22⋊C4—1882no—
579C42—24no—
580C42—474no—
581C42—474no—
582C42—478no—
583C42—478no—
584C42—478no—
585C42—474no—
586C42—474no—
587C42—944no—
588C42—944no—
589C42—948no—
590C42—944no—
591C42—944no—
592C42—944no—
593C42—1884no—
594C42—1884no—
595C23—24no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23C22×C4×D4712yes—
603C23C22×C4×D4714yes—
604C23C2×#1062535218yes—
605C23C24×D4711yescharacteristic
606Q8—28no—
607D4—216no—
608D4#13093980116yescomplemented
609C2×C4—216no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—28no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—472no—
623C2×C4—472no—
624C2×C4—474no—
625C2×C4—472no—
626C2×C4—472no—
627C2×C4—472no—
628C2×C4—474no—
629C2×C4—474no—
630C2×C4—472no—
631C2×C4—474no—
632C2×C4—9416no—
633C2×C4—948no—
634C2×C4—9416no—
635C2×C4—948no—
636C2×C4—942no—
637C2×C4—944no—
638C2×C4—942no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—941no—
642C2×C4—942no—
643C2×C4—941no—
644C2×C4—942no—
645C2×C4—944no—
646C2×C4—942no—
647C2×C4—944no—
648C2×C4—944no—
649C2×C4—942no—
650C2×C4—18816no—
651C2×C4C22×C4×D4712yes—
652C2×C4C22×C4×D4714yes—
653C2×C4C22×C4×D4712yes—
654C2×C4#41×D4714yes—
655C2×C4C2×#1062535214yes—
656C22—24no—
657C22—24no—
658C22—28no—
659C22—28no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—42no—
664C22—42no—
665C22C2×#1309398018yes—
666C22C23×C4×D4711yescharacteristic
667C22C2×#41×D4712yes—
668C22C22×#1062535212yes—
669C22H(5,𝔽2)×D4711yescharacteristic
670C222−1+4×D4711yescharacteristic
671C4—22no—
672C4—24no—
673C4—24no—
674C4—44no—
675C4—42no—
676C4—474no—
677C4—474no—
678C4—942no—
679C4—944no—
680C4—944no—
681C4—942no—
682C4—944no—
683C4—1884no—
684C4—1882no—
685C4C2×#1309398014yes—
686C2—28no—
687C2—42no—
688C2C22×#1309398011yescharacteristic
689C2C4×#41×D4711yescharacteristic
690C2#520×D4711yescharacteristic
691C2#2025699312yes—
692C2#2025700012yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2339C2
socle, cosocleC23×C47C25
prime radicalC22×#41×C47C22
hypercenter#2339D47
hypocenterC47#34127
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #20246344C2semidirect
3. #20246315C2semidirect
4. D4×Dic47⋊C4C2semidirect
5. #20246283C2semidirect
6. #20246279C2semidirect
7. #20246250C2semidirect
8. #20246244C2semidirect
10. #20245863C2semidirect
11. #20245828C2semidirect
12. #20245790C2semidirect
13. #20245779C2semidirect
14. C4×D4×Dic47C2semidirect
15. C4×#13093980C2semidirect
16. C2×#15688974C2semidirect
18. #41×Dic47C4semidirect
89. Q8×Dic47C2×C4semidirect
90. Q8×Dic47C2×C4semidirect
94. D4×Dic47C2×C4semidirect
95. D4×Dic47C2×C4semidirect
96. #13093983C2×C4semidirect
97. #13093983C2×C4semidirect
119. C2×C4×Dic47C2×C4semidirect
120. C2×C4×Dic47C2×C4semidirect
232. Dic47⋊C4#41semidirect
261. D4×C47#117semidirect
430. C47#34127semidirect
608. D4#13093980semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic472
#202463442
#202463152
D4×Dic47⋊C42
#202462832
#202462792
#202462502
#202462442
#202462182
#202458632
#202458282
#202457902
#202457792
C4×D4×Dic472
C4×#130939802
C2×#156889742
C47×#23392
#3412747