Finite Group Databasebeta

← #26381542

Subgroups — #26381542

Order 12032.

2244 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
1#20246554C214yesmaximal, complemented
2#20246478C212yesmaximal, complemented
3#20246448C211yesmaximal, characteristic, complemented
4#20246419C212yesmaximal, complemented
5#20246361C212yesmaximal
6#20246345C211yesmaximal, characteristic, complemented
7#20246337C211yesmaximal, characteristic
8Q8×C22⋊Dic47C212yesmaximal, complemented
9#20246146C214yesmaximal, complemented
10#20246137C212yesmaximal, complemented
11#20246072C212yesmaximal, complemented
12#20246031C212yesmaximal
13#20245974C212yesmaximal, complemented
14C4⋊Q8×Dic47C211yesmaximal, characteristic, complemented
15#20245866C211yesmaximal, characteristic, complemented
16#20245853C211yesmaximal, characteristic
17C2×D4×Q8×C47C211yesmaximal, characteristic
18C2×Q8×Dic47C2212yes—
19C2×Q8×Dic47C2212yes—
20C2×#13093983C2212yes—
21C2×#13093983C2212yes—
22#15689030C2214yes—
23#15689030C2214yes—
24#15689030C2212yes—
25#15689030C2212yes—
26#15689030C2211yescharacteristic
27#15689030C2211yescharacteristic
28#15689030C2214yes—
29#15689030C2214yes—
30#15689030C2212yes—
31#15689026C2211yescharacteristic
32#15689026C2212yes—
33#15689026C2211yescharacteristic
34#15689022C2212yes—
35#15689022C2212yes—
36#15689022C2212yes—
37#15689022C2214yes—
38#15689022C2211yescharacteristic
39#15689022C2211yescharacteristic
40#15689022C2211yescharacteristic
41#15689022C2211yescharacteristic
42#15689016C2214yes—
43#15689016C2214yes—
44#15689016C2212yes—
45#15689016C2214yes—
46#15689016C2214yes—
47#15689016C2214yes—
48#15689016C2212yes—
49#15689009C2212yes—
50#15689009C2214yes—
51#15689009C2214yes—
52#15689009C2214yes—
53#15689009C2214yes—
54#15689009C2212yes—
55#15688993C2211yescharacteristic
56#15688989C2212yes—
57#15688986C2214yes—
58#15688986C2214yes—
59#15688983C2214yes—
60#15688983C2212yes—
61C4⋊C4×Dic47C2212yes—
62C4⋊C4×Dic47C2212yes—
63C4⋊C4×Dic47C2212yes—
64C4⋊C4×Dic47C2212yes—
65C4⋊C4×Dic47C2212yes—
66C4⋊C4×Dic47C2214yes—
67C4×C4⋊Dic47C2212yes—
68C4×C4⋊Dic47C2211yescharacteristic
69C4×C4⋊Dic47C2211yescharacteristic
70C4×C4⋊Dic47C2212yes—
71C4×C22⋊Dic47C2214yes—
72C4×C22⋊Dic47C2212yes—
73#15688969C2212yes—
74C42×Dic47C2211yescharacteristic
75C23×Q8×C47C2212yes—
76D4×Q8×C47C4116yescomplemented
77C2×C4⋊Q8×C47C2212yes—
78C2×C4⋊Q8×C47C2211yescharacteristic
79C2×C22⋊Q8×C47C2214yes—
80C2×C22⋊Q8×C47C2212yes—
81C2×C4×Q8×C47C2211yescharacteristic
82C2×C4×D4×C47C2212yes—
83C2×C4×D4×C47C2211yescharacteristic
84Q8×Dic47—44no—
85Q8×Dic47—44no—
86#13093983—44no—
87#13093983—44no—
88C2×C4⋊Dic47C2311yescharacteristic
89C2×C4⋊Dic47C2311yescharacteristic
90C2×C4⋊Dic47C2312yes—
91C2×C4⋊Dic47C2312yes—
92C2×C4⋊Dic47C2311yescharacteristic
93C2×C4⋊Dic47C2311yescharacteristic
94C2×C4⋊Dic47C2312yes—
95C2×C4⋊Dic47C2312yes—
96C2×C4⋊Dic47C2312yes—
97C2×C4⋊Dic47C2314yes—
98C2×C4⋊Dic47C2314yes—
99C2×C4⋊Dic47C2312yes—
100C2×C4⋊Dic47C2312yes—
101C2×C22⋊Dic47C2312yes—
102C2×C22⋊Dic47C2314yes—
103C2×C22⋊Dic47C2312yes—
104C2×C22⋊Dic47C2312yes—
105C2×C22⋊Dic47C2314yes—
106C2×C22⋊Dic47C2312yes—
107C2×C4×Dic47C2311yescharacteristic
108C2×C4×Dic47C2311yescharacteristic
109C2×C4×Dic47C2311yescharacteristic
110C2×C4×Dic47C2311yescharacteristic
111C2×C4×Dic47C2311yescharacteristic
112C2×C4×Dic47C2312yes—
113C2×C4×Dic47C2312yes—
114C2×C4×Dic47C2311yescharacteristic
115C2×C4×Dic47C2314yes—
116C2×C4×Dic47C2314yes—
117C2×C4×Dic47C2314yes—
118C2×C4×Dic47C2314yes—
119C47⋊#95C2312yes—
120C47⋊#95C2312yes—
121C47⋊#95C2312yes—
122C47⋊#95C2312yes—
123C47⋊#95C2312yes—
124C47⋊#95C2312yes—
125C47⋊#95C2314yes—
126C47⋊#95C2312yes—
127C47⋊#95C2314yes—
128C47⋊#95C2312yes—
129C47⋊#95C2312yes—
130C47⋊#95C2312yes—
131C47⋊#95C2314yes—
132C47⋊#95C2314yes—
133C47⋊#95C2314yes—
134C47⋊#95C2314yes—
135C47⋊#95C2314yes—
136C47⋊#95C2314yes—
137C22×Q8×C47—44no—
138C22×Q8×C47—44no—
139C22×Q8×C47C2×C4116yes—
140C22×Q8×C47C2311yescharacteristic
141C22×Q8×C47C2312yes—
142C22×Q8×C47C2314yes—
143C22×D4×C47C2311yescharacteristic
144C23×C4×C47C2312yes—
145C23×C4×C47C2314yes—
146C4⋊Q8×C47C2×C418yes—
147C4⋊Q8×C47C2×C4116yes—
148C22⋊Q8×C47C2×C4116yes—
149C22⋊Q8×C47C2×C4132yes—
150C4×Q8×C47C2×C418yes—
151C4×D4×C47C2×C418yes—
152C4×D4×C47C2×C4116yes—
153C2×C4⋊C4×C47C2311yescharacteristic
154C2×C4⋊C4×C47C2312yes—
155C2×C4⋊C4×C47C2311yescharacteristic
156C2×C4⋊C4×C47C2312yes—
157C2×C4⋊C4×C47C2314yes—
158C2×C4⋊C4×C47C2312yes—
159C2×C22⋊C4×C47C2314yes—
160C2×C22⋊C4×C47C2312yes—
161C2×C42×C47C2311yescharacteristic
162C2×C42×C47C2312yes—
163C24×C47C2412yes—
164C2×Q8×C47—22no—
165C2×Q8×C47—22no—
166C2×Q8×C47—24no—
167C2×Q8×C47—24no—
168C2×Q8×C47—44no—
169C2×Q8×C47—44no—
170C2×Q8×C47—432no—
171C2×Q8×C47C22×C414yes—
172C2×Q8×C47C22×C418yes—
173C2×Q8×C47C22×C4116yes—
174C2×D4×C47—22no—
175C2×D4×C47—22no—
176C2×D4×C47C22×C414yes—
177C22×C4×C47—24no—
178C22×C4×C47—24no—
179C22×C4×C47—44no—
180C22×C4×C47—44no—
181C22×C4×C47C22×C418yes—
182C22×C4×C47C22×C4116yes—
183C22×C4×C47C2411yescharacteristic
184C22×C4×C47C2412yes—
185C22×C4×C47C2412yes—
186C22×C4×C47C2412yes—
187C22×C4×C47C2414yes—
188C22×C4×C47C2411yescharacteristic
189C22×C4×C47C2411yescharacteristic
190C22×Dic47C2412yes—
191C22×Dic47C2411yescharacteristic
192C22×Dic47C2412yes—
193C22×Dic47C2411yescharacteristic
194C22×Dic47C2412yes—
195C22×Dic47C2411yescharacteristic
196C22×Dic47C2412yes—
197C22×Dic47C2414yes—
198C22×Dic47C2411yescharacteristic
199C4⋊C4×C47C22×C414yes—
200C4⋊C4×C47C22×C418yes—
201C4⋊C4×C47C22×C418yes—
202C4⋊C4×C47C22×C414yes—
203C4⋊C4×C47C22×C4116yes—
204C4⋊C4×C47C22×C418yes—
205C22⋊C4×C47C22×C418yes—
206C22⋊C4×C47C22×C4116yes—
207C42×C47C22×C418yes—
208C42×C47C22×C414yes—
209C22⋊Dic47—24no—
210C22⋊Dic47—42no—
211C22⋊Dic47—44no—
212C22⋊Dic47—42no—
213C22⋊Dic47—42no—
214C22⋊Dic47—44no—
215C4⋊Dic47—22no—
216C4⋊Dic47—24no—
217C4⋊Dic47—22no—
218C4⋊Dic47—22no—
219C4⋊Dic47—22no—
220C4⋊Dic47—24no—
221C4⋊Dic47—24no—
222C4⋊Dic47—42no—
223C4⋊Dic47—42no—
224C4⋊Dic47—42no—
225C4⋊Dic47—42no—
226C4⋊Dic47—44no—
227C4⋊Dic47—44no—
228C4×Dic47—22no—
229C4×Dic47—24no—
230C4×Dic47—22no—
231C4×Dic47—22no—
232C4×Dic47—24no—
233C4×Dic47—22no—
234C4×Dic47—22no—
235C4×Dic47—44no—
236C4×Dic47—41no—
237C4×Dic47—44no—
238C4×Dic47—44no—
239C4×Dic47—44no—
240C23×C47—22no—
241C23×C47—22no—
242C23×C47—22no—
243C23×C47—22no—
244C23×C47—22no—
245C23×C47—22no—
246C23×C47C23×C414yes—
247C23×C47C2511yescharacteristic
248Q8×C47—28no—
249Q8×C47—216no—
250Q8×C47—416no—
251D4×C47—28no—
252C2×C4×C47—22no—
253C2×C4×C47—24no—
254C2×C4×C47—24no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—21no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—21no—
262C2×C4×C47—216no—
263C2×C4×C47—416no—
264C2×C4×C47C23×C412yes—
265C2×C4×C47C23×C414yes—
266C2×C4×C47C23×C414yes—
267C2×C4×C47C23×C414yes—
268C2×C4×C47C23×C418yes—
269C2×C4×C47C23×C412yes—
270C2×C4×C47C23×C412yes—
271C2×C4×C47H(5,𝔽2)12yes—
272C2×C4×C47H(5,𝔽2)12yes—
273C2×C4×C472−1+412yes—
274C2×C4×C472−1+412yes—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—22no—
278C2×Dic47—21no—
279C2×Dic47—22no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—22no—
283C2×Dic47—24no—
284C2×Dic47—22no—
285C2×Dic47—21no—
286C2×Dic47—21no—
287C2×Dic47—22no—
288C2×Dic47—21no—
289C2×Dic47—22no—
290C2×Dic47—21no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—24no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—21no—
298C2×Dic47—24no—
299C2×Dic47—21no—
300C2×Dic47—22no—
301C2×Dic472−1+412yes—
302#34487—471nomaximal, Sylow
303C22×C47—24no—
304C22×C47—24no—
305C22×C47—24no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47C24×C411yescharacteristic
311C22×C47C2×H(5,𝔽2)11yescharacteristic
312C22×C47C2×H(5,𝔽2)11yescharacteristic
313C22×C47C2×2−1+411yescharacteristic
314C22×C47C2×2−1+411yescharacteristic
315C22×C47C2×2−1+411yescharacteristic
316C22×C47#58511yescharacteristic
317C4×C47—24no—
318C4×C47—24no—
319C4×C47—28no—
320C4×C47—22no—
321C4×C47—24no—
322C4×C47#51814yes—
323C4×C47#51914yes—
324Dic47—22no—
325Dic47—42no—
326Dic47—41no—
327Dic47—42no—
328Dic47—42no—
329Dic47—41no—
330Dic47—42no—
331Dic47—41no—
332Dic47—44no—
333C2×D4×Q8D4711yescharacteristic
334#2378—474no—
335#2369—472no—
336#2365—471no—
337#2362—472no—
338#2357—472no—
339#2355—471no—
340#2354—471no—
341Q8×C22⋊C4—472no—
342#2332—474no—
343#2331—472no—
344#2323—472no—
345#2319—472no—
346#2310—472no—
347C4×C4⋊Q8—471no—
348#2295—471no—
349#2293—471no—
350C2×C47—44no—
351C2×C47C2×#51811yescharacteristic
352C2×C47C2×#51911yescharacteristic
353C2×C47C4×2−1+411yescharacteristic
354C2×C47#354711yescharacteristic
355C2×C47#355011yescharacteristic
356C2×C47#355211yescharacteristic
357C2×C47#355411yescharacteristic
358C23×Q8C2×D4712yes—
359D4×Q8Dic47116yescomplemented
360C2×C4⋊Q8C2×D4711yescharacteristic
361C2×C4⋊Q8C2×D4712yes—
362C2×C22⋊Q8C2×D4712yes—
363C2×C22⋊Q8C2×D4714yes—
364C2×C4×Q8—472no—
365C2×C4×Q8—472no—
366C2×C4×Q8C2×D4711yescharacteristic
367C2×C4×D4C2×D4712yes—
368C2×C4×D4C2×D4711yescharacteristic
369C2×#117—472no—
370C2×#117—472no—
371#391—472no—
372#391—471no—
373#391—474no—
374#391—472no—
375#391—472no—
376#391—474no—
377#391—474no—
378#391—474no—
379#391—471no—
380#390—471no—
381#390—472no—
382#390—471no—
383#389—472no—
384#389—472no—
385#389—472no—
386#389—471no—
387#389—474no—
388#389—471no—
389#389—471no—
390#389—471no—
391#388—474no—
392#388—474no—
393#388—474no—
394#388—472no—
395#388—474no—
396#388—474no—
397#388—472no—
398#387—474no—
399#387—474no—
400#387—472no—
401#387—474no—
402#387—474no—
403#387—472no—
404#384—471no—
405#382—472no—
406#381—474no—
407#381—474no—
408#380—474no—
409#380—472no—
410C4×C4⋊C4—472no—
411C4×C4⋊C4—472no—
412C4×C4⋊C4—472no—
413C4×C4⋊C4—472no—
414C4×C4⋊C4—472no—
415C4×C4⋊C4—474no—
416C4×C4⋊C4—472no—
417C4×C4⋊C4—471no—
418C4×C4⋊C4—471no—
419C4×C4⋊C4—472no—
420C4×C22⋊C4—474no—
421C4×C22⋊C4—472no—
422#376—472no—
423C43—471no—
424C47#3448711yescharacteristic, complemented, Sylow
425C22×Q8—44no—
426C22×Q8—44no—
427C22×Q8C2×Dic47116yes—
428C22×Q8C22×D4712yes—
429C22×Q8C22×D4711yescharacteristic
430C22×Q8C22×D4714yes—
431C22×D4C22×D4711yescharacteristic
432C23×C4C22×D4712yes—
433C23×C4C22×D4714yes—
434C4⋊Q8C2×Dic4718yes—
435C4⋊Q8C2×Dic47116yes—
436C22⋊Q8C2×Dic47116yes—
437C22⋊Q8C2×Dic47132yes—
438C4×Q8—1884no—
439C4×Q8—1884no—
440C4×Q8C2×Dic4718yes—
441C4×D4C2×Dic4718yes—
442C4×D4C2×Dic47116yes—
443#117—1884no—
444#117—1884no—
445C2×C4⋊C4—471no—
446C2×C4⋊C4—472no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—472no—
450C2×C4⋊C4—472no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—472no—
453C2×C4⋊C4—472no—
454C2×C4⋊C4—474no—
455C2×C4⋊C4—474no—
456C2×C4⋊C4—472no—
457C2×C4⋊C4—472no—
458C2×C4⋊C4C22×D4712yes—
459C2×C4⋊C4C22×D4711yescharacteristic
460C2×C4⋊C4C22×D4711yescharacteristic
461C2×C4⋊C4C22×D4712yes—
462C2×C4⋊C4C22×D4714yes—
463C2×C4⋊C4C22×D4712yes—
464C2×C22⋊C4—472no—
465C2×C22⋊C4—472no—
466C2×C22⋊C4—472no—
467C2×C22⋊C4—474no—
468C2×C22⋊C4—474no—
469C2×C22⋊C4—472no—
470C2×C22⋊C4C22×D4714yes—
471C2×C22⋊C4C22×D4712yes—
472C2×C42—471no—
473C2×C42—472no—
474C2×C42—471no—
475C2×C42—471no—
476C2×C42—471no—
477C2×C42—471no—
478C2×C42—472no—
479C2×C42—474no—
480C2×C42—474no—
481C2×C42—474no—
482C2×C42—471no—
483C2×C42—474no—
484C2×C42C22×D4711yescharacteristic
485C2×C42C22×D4712yes—
486#95—472no—
487#95—472no—
488#95—472no—
489#95—472no—
490#95—472no—
491#95—472no—
492#95—474no—
493#95—472no—
494#95—474no—
495#95—474no—
496#95—472no—
497#95—474no—
498#95—474no—
499#95—474no—
500#95—474no—
501#95—474no—
502#95—472no—
503#95—472no—
504C24C23×D4712yes—
505C2×Q8—24no—
506C2×Q8—24no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—44no—
510C2×Q8—44no—
511C2×Q8—432no—
512C2×Q8C22×Dic4714yes—
513C2×Q8C22×Dic4718yes—
514C2×Q8C22×Dic47116yes—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4C22×Dic4714yes—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—471no—
523C22×C4—472no—
524C22×C4—471no—
525C22×C4—472no—
526C22×C4—471no—
527C22×C4—472no—
528C22×C4—471no—
529C22×C4—474no—
530C22×C4—472no—
531C22×C4C22×Dic4718yes—
532C22×C4C22×Dic47116yes—
533C22×C4C23×D4712yes—
534C22×C4C23×D4711yescharacteristic
535C22×C4C23×D4712yes—
536C22×C4C23×D4712yes—
537C22×C4C23×D4714yes—
538C22×C4C23×D4711yescharacteristic
539C22×C4C23×D4711yescharacteristic
540C4⋊C4—944no—
541C4⋊C4—942no—
542C4⋊C4—944no—
543C4⋊C4—942no—
544C4⋊C4—942no—
545C4⋊C4—942no—
546C4⋊C4—944no—
547C4⋊C4—1882no—
548C4⋊C4—1882no—
549C4⋊C4—1882no—
550C4⋊C4—1882no—
551C4⋊C4—1884no—
552C4⋊C4—1884no—
553C4⋊C4C22×Dic4714yes—
554C4⋊C4C22×Dic4718yes—
555C4⋊C4C22×Dic4718yes—
556C4⋊C4C22×Dic4714yes—
557C4⋊C4C22×Dic47116yes—
558C4⋊C4C22×Dic4718yes—
559C22⋊C4—944no—
560C22⋊C4—1882no—
561C22⋊C4—1884no—
562C22⋊C4—1882no—
563C22⋊C4—1882no—
564C22⋊C4—1884no—
565C22⋊C4C22×Dic4718yes—
566C22⋊C4C22×Dic47116yes—
567C42—942no—
568C42—942no—
569C42—944no—
570C42—942no—
571C42—942no—
572C42—944no—
573C42—942no—
574C42—1884no—
575C42—1881no—
576C42—1884no—
577C42—1884no—
578C42—1884no—
579C42C22×Dic4718yes—
580C42C22×Dic4714yes—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23C23×Dic4714yes—
588C23C24×D4711yescharacteristic
589Q8—28no—
590Q8—216no—
591Q8—416no—
592D4—28no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—216no—
604C2×C4—416no—
605C2×C4—472no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—942no—
609C2×C4—941no—
610C2×C4—941no—
611C2×C4—942no—
612C2×C4—941no—
613C2×C4—942no—
614C2×C4—944no—
615C2×C4—942no—
616C2×C4—941no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—941no—
620C2×C4—942no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—944no—
626C2×C4—942no—
627C2×C4—942no—
628C2×C4—941no—
629C2×C4—944no—
630C2×C4—941no—
631C2×C4—942no—
632C2×C4C23×Dic4712yes—
633C2×C4C23×Dic4714yes—
634C2×C4C23×Dic4714yes—
635C2×C4C23×Dic4714yes—
636C2×C4C23×Dic4718yes—
637C2×C4C23×Dic4712yes—
638C2×C4C23×Dic4712yes—
639C2×C4#1309406912yes—
640C2×C4#1309406912yes—
641C2×C4#1309407212yes—
642C2×C4#1309407212yes—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22C24×Dic4711yescharacteristic
651C22C2×#1309406911yescharacteristic
652C22C2×#1309406911yescharacteristic
653C222−1+4×D4711yescharacteristic
654C22C2×#1309407211yescharacteristic
655C22C2×#1309407211yescharacteristic
656C22#1568996011yescharacteristic
657C4—24no—
658C4—24no—
659C4—28no—
660C4—22no—
661C4—24no—
662C4—942no—
663C4—1882no—
664C4—1881no—
665C4—1882no—
666C4—1881no—
667C4—1884no—
668C4—1881no—
669C4—1882no—
670C4—1882no—
671C4#1568959814yes—
672C4#1568960114yes—
673C2—44no—
674C2C2×#1568959811yescharacteristic
675C2C2×#1568960111yescharacteristic
676C22−1+4×Dic4711yescharacteristic
677C2#2025777311yescharacteristic
678C2#2025779511yescharacteristic
679C2#2025783011yescharacteristic
680C2#2025786011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC2×D4×Q8×C47C2
socle, cosocleC23×C47C25
prime radicalC22×D4×C47C23
hypercenterC2×D4×Q8D47
hypocenterC47#34487
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×D4×Q8

Complements

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

NH ≅ G/Ntype
1. #20246554C2semidirect
2. #20246478C2semidirect
3. #20246448C2semidirect
4. #20246419C2semidirect
6. #20246345C2semidirect
8. Q8×C22⋊Dic47C2semidirect
9. #20246146C2semidirect
10. #20246137C2semidirect
11. #20246072C2semidirect
13. #20245974C2semidirect
14. C4⋊Q8×Dic47C2semidirect
15. #20245866C2semidirect
76. D4×Q8×C47C4semidirect
359. D4×Q8Dic47semidirect
424. C47#34487semidirect

Maximal subgroups

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

subgroupindex
#202465542
#202464782
#202464482
#202464192
#202463612
#202463452
#202463372
Q8×C22⋊Dic472
#202461462
#202461372
#202460722
#202460312
#202459742
C4⋊Q8×Dic472
#202458662
#202458532
C2×D4×Q8×C472
#3448747