Finite Group Databasebeta

← #26379493

Subgroups — #26379493

Order 12032.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20246554C212yesmaximal, complemented
2#20246545C212yesmaximal, complemented
3#20246384C214yesmaximal, complemented
4#20246361C212yesmaximal, complemented
5#20246328C212yesmaximal, complemented
6#20246248C212yesmaximal, complemented
7#20246218C212yesmaximal, complemented
8#20246155C212yesmaximal, complemented
9#20246146C212yesmaximal, complemented
10#20246049C214yesmaximal, complemented
11#20246031C212yesmaximal, complemented
12#20246021C212yesmaximal, complemented
13#20245771C211yesmaximal, characteristic, complemented
14C2×#15688986C211yesmaximal, characteristic, complemented
15C2×C47×#525C211yesmaximal, characteristic
16C2×D4×Dic47C2214yes—
17C2×#13093983C2212yes—
18C22×C22⋊Dic47C2212yes—
19#15689030C2214yescomplemented
20#15689026C2214yes—
21#15689026C2214yes—
22#15689022C2214yescomplemented
23#15689016C2214yes—
24#15689016C2214yes—
25#15689016C2214yes—
26#15689016C2214yes—
27#15689016C2214yescomplemented
28#15689016C2214yescomplemented
29#15689009C2214yescomplemented
30#15689009C2214yescomplemented
31#15689009C2214yescomplemented
32#15689009C2214yescomplemented
33#15689003C2214yes—
34#15689003C2214yes—
35#15689003C2214yes—
36#15689003C2214yescomplemented
37#15688998C2214yes—
38#15688998C2214yescomplemented
39#15688991C2212yescomplemented
40#15688989C2212yescomplemented
41#15688986C2211yescharacteristic
42#15688986C2211yescharacteristic
43#15688986C2212yes—
44#15688986C2212yes—
45#15688986C2212yes—
46#15688986C2212yes—
47#15688986C2212yescomplemented
48#15688983C2212yes—
49#15688983C2212yes—
50#15688983C2212yescomplemented
51#15688979C2212yes—
52C4⋊C4×Dic47C2214yescomplemented
53C4×C4⋊Dic47C2212yescomplemented
54C22⋊C4×Dic47C2214yes—
55C22⋊C4×Dic47C2214yescomplemented
56C4×C22⋊Dic47C2211yescharacteristic
57C4×C22⋊Dic47C2211yescharacteristic
58C4×C22⋊Dic47C2212yes—
59C4×C22⋊Dic47C2212yescomplemented
60#15688969C2212yescomplemented
61C2×C47⋊#95C2212yes—
62C2×C47⋊#95C2212yes—
63C2×C47⋊#95C2212yescomplemented
64C22×#41×C47C2211yescharacteristic
65C24×C4×C47C2211yescharacteristic
66C47×#525C4116yescomplemented
67C2×#123×C47C2212yes—
68C2×C22⋊Q8×C47C2211yescharacteristic
69C2×C22⋊Q8×C47C2211yescharacteristic
70C2×#121×C47C2211yescharacteristic
71C2×#121×C47C2211yescharacteristic
72C2×#120×C47C2212yes—
73C2×C4×D4×C47C2212yes—
74C2×C4×D4×C47C2212yes—
75C2×#117×C47C2211yescharacteristic
76C23×Dic47C2314yes—
77C23×Dic47C2314yes—
78D4×Dic47—48no—
79#13093983—44no—
80C2×C4⋊Dic47C2314yes—
81C2×C4⋊Dic47C2314yes—
82C2×C4⋊Dic47C2314yes—
83C2×C4⋊Dic47C2314yes—
84C2×C22⋊Dic47—44no—
85C2×C22⋊Dic47C2314yes—
86C2×C22⋊Dic47C2312yes—
87C2×C22⋊Dic47C2314yes—
88C2×C22⋊Dic47C2312yes—
89C2×C22⋊Dic47C2314yes—
90C2×C22⋊Dic47C2314yes—
91C2×C22⋊Dic47C2312yes—
92C2×C22⋊Dic47C2314yes—
93C2×C22⋊Dic47C2312yes—
94C2×C22⋊Dic47C2314yes—
95C2×C4×Dic47C2314yes—
96C2×C4×Dic47C2312yes—
97C2×C4×Dic47C2312yes—
98C2×C4×Dic47C2314yes—
99C2×C4×Dic47C2314yes—
100C47⋊#95C2312yes—
101C47⋊#95C2312yes—
102C47⋊#95C2314yes—
103C47⋊#95C2312yes—
104C47⋊#95C2314yes—
105C47⋊#95C2312yes—
106C47⋊#95C2312yes—
107C47⋊#95C2314yes—
108C47⋊#95C2314yes—
109C47⋊#95C2312yes—
110C47⋊#95C2314yes—
111C47⋊#95C2314yes—
112C47⋊#95C2314yes—
113C47⋊#95C2314yes—
114C47⋊#95C2314yes—
115C25×C47C2311yescharacteristic
116C2×#41×C47—44no—
117C2×#41×C47C2×C418yes—
118C22×Q8×C47C2311yescharacteristic
119C22×D4×C47C2312yes—
120C22×D4×C47C2312yes—
121C22×D4×C47C2312yes—
122C22×D4×C47C2311yescharacteristic
123C23×C4×C47—44no—
124C23×C4×C47C2×C418yescomplemented
125C23×C4×C47C2311yescharacteristic
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2312yes—
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132#123×C47C2×C4116yescomplemented
133C22⋊Q8×C47C2×C418yescomplemented
134C22⋊Q8×C47C2×C418yescomplemented
135#121×C47C2×C418yescomplemented
136#121×C47C2×C418yescomplemented
137#120×C47C2×C4116yescomplemented
138C4×D4×C47C2×C4116yescomplemented
139C4×D4×C47C2×C4116yescomplemented
140#117×C47C2×C418yescomplemented
141C2×C4⋊C4×C47C2312yes—
142C2×C4⋊C4×C47C2311yescharacteristic
143C2×C4⋊C4×C47C2311yescharacteristic
144C2×C4⋊C4×C47C2312yes—
145C2×C22⋊C4×C47C2312yes—
146C2×C22⋊C4×C47C2312yes—
147C2×C22⋊C4×C47C2312yes—
148C2×C22⋊C4×C47C2312yes—
149C2×C22⋊C4×C47C2312yes—
150C2×C42×C47C2312yes—
151C24×C47—24no—
152C24×C47—42no—
153C24×C47—42no—
154C24×C47C22×C414yes—
155C24×C47C2411yescharacteristic
156C24×C47C2411yescharacteristic
157C24×C47C2412yes—
158C24×C47C2411yescharacteristic
159#41×C47—416no—
160C2×Q8×C47—42no—
161C2×Q8×C47C22×C414yes—
162C2×D4×C47—28no—
163C2×D4×C47—42no—
164C2×D4×C47—44no—
165C2×D4×C47—42no—
166C2×D4×C47—42no—
167C2×D4×C47C22×C418yes—
168C2×D4×C47C22×C418yes—
169C2×D4×C47C22×C418yes—
170C2×D4×C47C22×C414yes—
171C22×C4×C47—24no—
172C22×C4×C47—24no—
173C22×C4×C47—416no—
174C22×C4×C47—42no—
175C22×C4×C47—42no—
176C22×C4×C47—42no—
177C22×C4×C47—42no—
178C22×C4×C47—44no—
179C22×C4×C47C22×C414yes—
180C22×C4×C47C22×C414yes—
181C22×C4×C47C22×C414yes—
182C22×C4×C47C22×C414yes—
183C22×C4×C47C22×C418yes—
184C22×C4×C47C22×C414yes—
185C22×C4×C47C22×C414yes—
186C22×C4×C47C2411yescharacteristic
187C22×C4×C47C2412yes—
188C22×C4×C47C2412yes—
189C22×C4×C47C2411yescharacteristic
190C22×C4×C47C2411yescharacteristic
191C22×C4×C47C2412yes—
192C22×C4×C47C2411yescharacteristic
193C22×Dic47—28no—
194C22×Dic47—44no—
195C22×Dic47—44no—
196C22×Dic47—44no—
197C22×Dic47—44no—
198C22×Dic47—44no—
199C22×Dic47C2414yes—
200C22×Dic47C2414yes—
201C22×Dic47C2414yes—
202C22×Dic47C2414yes—
203C4⋊C4×C47C22×C414yes—
204C4⋊C4×C47C22×C414yes—
205C4⋊C4×C47C22×C418yes—
206C4⋊C4×C47C22×C418yes—
207C22⋊C4×C47C22×C418yes—
208C22⋊C4×C47C22×C418yes—
209C22⋊C4×C47C22×C418yes—
210C22⋊C4×C47C22×C418yes—
211C22⋊C4×C47C22×C418yes—
212C42×C47C22×C418yes—
213C22⋊Dic47—28no—
214C22⋊Dic47—42no—
215C22⋊Dic47—44no—
216C22⋊Dic47—42no—
217C22⋊Dic47—44no—
218C22⋊Dic47—42no—
219C22⋊Dic47—44no—
220C22⋊Dic47—42no—
221C22⋊Dic47—44no—
222C22⋊Dic47—44no—
223C4⋊Dic47—44no—
224C4⋊Dic47—44no—
225C4⋊Dic47—44no—
226C4⋊Dic47—44no—
227C4×Dic47—44no—
228C4×Dic47—44no—
229C4×Dic47—42no—
230C4×Dic47—42no—
231C4×Dic47—44no—
232C23×C47—22no—
233C23×C47—22no—
234C23×C47—28no—
235C23×C47—22no—
236C23×C47—22no—
237C23×C47—24no—
238C23×C47—22no—
239C23×C47—22no—
240C23×C47—22no—
241C23×C47—24no—
242C23×C47—22no—
243C23×C47—22no—
244C23×C47—22no—
245C23×C47—44no—
246C23×C47—44no—
247C23×C47—416no—
248C23×C47C23×C412yes—
249C23×C47C23×C412yes—
250C23×C47C23×C414yes—
251C23×C47C23×C412yes—
252C23×C47H(5,𝔽2)14yes—
253C23×C47C2511yescharacteristic
254Q8×C47—44no—
255D4×C47—216no—
256D4×C47—48no—
257D4×C47—48no—
258D4×C47—44no—
259C2×C4×C47—28no—
260C2×C4×C47—28no—
261C2×C4×C47—22no—
262C2×C4×C47—24no—
263C2×C4×C47—22no—
264C2×C4×C47—22no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—24no—
268C2×C4×C47—22no—
269C2×C4×C47—44no—
270C2×C4×C47—44no—
271C2×C4×C47—44no—
272C2×C4×C47—44no—
273C2×C4×C47—48no—
274C2×C4×C47C23×C412yes—
275C2×C4×C47C23×C414yes—
276C2×C4×C47C23×C414yes—
277C2×C4×C47C23×C412yes—
278C2×C4×C47C23×C412yes—
279C2×C4×C47C23×C414yes—
280C2×C4×C47C23×C412yes—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—24no—
284C2×Dic47—24no—
285C2×Dic47—24no—
286C2×Dic47—24no—
287C2×Dic47—24no—
288C2×Dic47—24no—
289C2×Dic47—24no—
290C2×Dic47—24no—
291C2×Dic47—24no—
292C2×Dic47—24no—
293C2×Dic47—88no—
294C2×Dic47—88no—
295#34396—471nomaximal, Sylow
296C22×C47—22no—
297C22×C47—22no—
298C22×C47—28no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—24no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—24no—
305C22×C47—24no—
306C22×C47—22no—
307C22×C47—22no—
308C22×C47—416no—
309C22×C47—44no—
310C22×C47—44no—
311C22×C47—44no—
312C22×C47—44no—
313C22×C47#51814yes—
314C22×C47C24×C411yescharacteristic
315C22×C47C2×H(5,𝔽2)12yes—
316C22×C47#58512yes—
317C22×C47#58512yes—
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—22no—
321C4×C47—22no—
322C4×C47—24no—
323C4×C47—24no—
324C4×C47—24no—
325Dic47—44no—
326Dic47—44no—
327Dic47—44no—
328Dic47—44no—
329C2×#525D4711yescharacteristic
330#2378—472no—
331#2377—472no—
332#2359—474no—
333#2357—472no—
334#2353—472no—
335#2343—472no—
336#2339—472no—
337#2333—472no—
338#2332—472no—
339#2321—474no—
340#2319—472no—
341#2318—472no—
342#2280—471no—
343C2×#381—471no—
344C2×C47—24no—
345C2×C47—44no—
346C2×C47—42no—
347C2×C47—42no—
348C2×C47C2×#51811yescharacteristic
349C2×C47#342811yescharacteristic
350C2×C47#342811yescharacteristic
351C2×C47#353314yes—
352C22×#41C2×D4711yescharacteristic
353C24×C4C2×D4711yescharacteristic
354#525Dic47116yescomplemented
355C2×#123C2×D4712yes—
356C2×C22⋊Q8C2×D4711yescharacteristic
357C2×C22⋊Q8C2×D4711yescharacteristic
358C2×#121C2×D4711yescharacteristic
359C2×#121C2×D4711yescharacteristic
360C2×#120C2×D4712yes—
361C2×C4×D4—474no—
362C2×C4×D4C2×D4712yes—
363C2×C4×D4C2×D4712yes—
364C2×#117—472no—
365C2×#117C2×D4711yescharacteristic
366C22×C22⋊C4—472no—
367#391—474no—
368#390—474no—
369#390—474no—
370#389—474no—
371#388—474no—
372#388—474no—
373#388—474no—
374#388—474no—
375#388—474no—
376#388—474no—
377#387—474no—
378#387—474no—
379#387—474no—
380#387—474no—
381#386—474no—
382#386—474no—
383#386—474no—
384#386—474no—
385#385—474no—
386#385—474no—
387#383—472no—
388#382—472no—
389#381—471no—
390#381—471no—
391#381—472no—
392#381—472no—
393#381—472no—
394#381—472no—
395#381—472no—
396#380—472no—
397#380—472no—
398#380—472no—
399#379—472no—
400C4×C4⋊C4—474no—
401C4×C4⋊C4—472no—
402C4×C22⋊C4—472no—
403C4×C22⋊C4—471no—
404C4×C22⋊C4—471no—
405C4×C22⋊C4—472no—
406C4×C22⋊C4—474no—
407C4×C22⋊C4—474no—
408#376—472no—
409C2×#95—472no—
410C2×#95—472no—
411C2×#95—472no—
412C47#3439611yescharacteristic, complemented, Sylow
413C25C22×D4711yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic4718yes—
416C22×Q8C22×D4711yescharacteristic
417C22×D4C22×D4712yes—
418C22×D4C22×D4712yes—
419C22×D4C22×D4712yes—
420C22×D4C22×D4711yescharacteristic
421C23×C4—44no—
422C23×C4—474no—
423C23×C4—474no—
424C23×C4C2×Dic4718yescomplemented
425C23×C4C22×D4711yescharacteristic
426C23×C4C22×D4711yescharacteristic
427C23×C4C22×D4711yescharacteristic
428C23×C4C22×D4711yescharacteristic
429C23×C4C22×D4712yes—
430C23×C4C22×D4711yescharacteristic
431C23×C4C22×D4711yescharacteristic
432#123C2×Dic47116yescomplemented
433C22⋊Q8C2×Dic4718yescomplemented
434C22⋊Q8C2×Dic4718yescomplemented
435#121C2×Dic4718yescomplemented
436#121C2×Dic4718yescomplemented
437#120C2×Dic47116yescomplemented
438C4×D4—1888no—
439C4×D4C2×Dic47116yescomplemented
440C4×D4C2×Dic47116yescomplemented
441#117—1884no—
442#117C2×Dic4718yescomplemented
443C2×C4⋊C4—474no—
444C2×C4⋊C4—474no—
445C2×C4⋊C4—474no—
446C2×C4⋊C4—474no—
447C2×C4⋊C4C22×D4711yescharacteristic
448C2×C4⋊C4C22×D4711yescharacteristic
449C2×C4⋊C4C22×D4712yes—
450C2×C4⋊C4C22×D4712yes—
451C2×C22⋊C4—474no—
452C2×C22⋊C4—472no—
453C2×C22⋊C4—474no—
454C2×C22⋊C4—472no—
455C2×C22⋊C4—474no—
456C2×C22⋊C4—472no—
457C2×C22⋊C4—474no—
458C2×C22⋊C4—472no—
459C2×C22⋊C4—474no—
460C2×C22⋊C4—474no—
461C2×C22⋊C4—1884no—
462C2×C22⋊C4C22×D4712yes—
463C2×C22⋊C4C22×D4712yes—
464C2×C22⋊C4C22×D4712yes—
465C2×C22⋊C4C22×D4712yes—
466C2×C22⋊C4C22×D4712yes—
467C2×C42—472no—
468C2×C42—472no—
469C2×C42—474no—
470C2×C42—474no—
471C2×C42—474no—
472C2×C42C22×D4712yes—
473#95—472no—
474#95—472no—
475#95—472no—
476#95—474no—
477#95—472no—
478#95—474no—
479#95—472no—
480#95—474no—
481#95—474no—
482#95—472no—
483#95—474no—
484#95—474no—
485#95—474no—
486#95—474no—
487#95—474no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic4714yes—
492C24C23×D4711yescharacteristic
493C24C23×D4711yescharacteristic
494C24C23×D4712yes—
495C24C23×D4711yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic4714yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4C22×Dic4718yes—
505C2×D4C22×Dic4718yes—
506C2×D4C22×Dic4718yes—
507C2×D4C22×Dic4714yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—416no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—474no—
517C22×C4—474no—
518C22×C4—474no—
519C22×C4—474no—
520C22×C4—948no—
521C22×C4—1884no—
522C22×C4—1884no—
523C22×C4—1884no—
524C22×C4—1884no—
525C22×C4—1884no—
526C22×C4C22×Dic4714yes—
527C22×C4C22×Dic4714yes—
528C22×C4C22×Dic4714yes—
529C22×C4C22×Dic4714yes—
530C22×C4C22×Dic4718yes—
531C22×C4C22×Dic4714yes—
532C22×C4C22×Dic4714yes—
533C22×C4C23×D4711yescharacteristic
534C22×C4C23×D4711yescharacteristic
535C22×C4C23×D4711yescharacteristic
536C22×C4C23×D4712yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4712yes—
539C22×C4C23×D4711yescharacteristic
540C4⋊C4—1884no—
541C4⋊C4—1884no—
542C4⋊C4—1884no—
543C4⋊C4—1884no—
544C4⋊C4C22×Dic4714yes—
545C4⋊C4C22×Dic4714yes—
546C4⋊C4C22×Dic4718yes—
547C4⋊C4C22×Dic4718yes—
548C22⋊C4—948no—
549C22⋊C4—1884no—
550C22⋊C4—1882no—
551C22⋊C4—1884no—
552C22⋊C4—1882no—
553C22⋊C4—1884no—
554C22⋊C4—1882no—
555C22⋊C4—1884no—
556C22⋊C4—1882no—
557C22⋊C4—1884no—
558C22⋊C4C22×Dic4718yes—
559C22⋊C4C22×Dic4718yes—
560C22⋊C4C22×Dic4718yes—
561C22⋊C4C22×Dic4718yes—
562C22⋊C4C22×Dic4718yes—
563C42—1884no—
564C42—1884no—
565C42—1882no—
566C42—1882no—
567C42—1884no—
568C42C22×Dic4718yes—
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic4712yes—
586C23C23×Dic4712yes—
587C23C23×Dic4714yes—
588C23C23×Dic4712yes—
589C23#1309406914yes—
590C23C24×D4711yescharacteristic
591Q8—44no—
592D4—216no—
593D4—48no—
594D4—48no—
595D4—44no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—944no—
612C2×C4—944no—
613C2×C4—944no—
614C2×C4—944no—
615C2×C4—944no—
616C2×C4—944no—
617C2×C4—944no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—944no—
621C2×C4—944no—
622C2×C4—944no—
623C2×C4—3768no—
624C2×C4—3768no—
625C2×C4C23×Dic4712yes—
626C2×C4C23×Dic4714yes—
627C2×C4C23×Dic4714yes—
628C2×C4C23×Dic4712yes—
629C2×C4C23×Dic4712yes—
630C2×C4C23×Dic4714yes—
631C2×C4C23×Dic4712yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1568959814yes—
650C22C24×Dic4711yescharacteristic
651C22C2×#1309406912yes—
652C22#1568995912yes—
653C22#1568995912yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—1884no—
662C4—1884no—
663C4—1884no—
664C4—1884no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1568959811yescharacteristic
670C2#2025659111yescharacteristic
671C2#2025659111yescharacteristic
672C2#2025755214yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
Fitting, prime radicalC2×C47×#525C2
socle, cosocleC23×C47C25
hypercenterC2×#525D47
hypocenterC47#34396
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #20246554C2semidirect
2. #20246545C2semidirect
3. #20246384C2semidirect
4. #20246361C2semidirect
5. #20246328C2semidirect
6. #20246248C2semidirect
7. #20246218C2semidirect
8. #20246155C2semidirect
9. #20246146C2semidirect
10. #20246049C2semidirect
11. #20246031C2semidirect
12. #20246021C2semidirect
13. #20245771C2semidirect
14. C2×#15688986C2semidirect
19. #15689030C22semidirect
22. #15689022C22semidirect
27. #15689016C22semidirect
28. #15689016C22semidirect
29. #15689009C22semidirect
30. #15689009C22semidirect
31. #15689009C22semidirect
32. #15689009C22semidirect
36. #15689003C22semidirect
38. #15688998C22semidirect
39. #15688991C22semidirect
40. #15688989C22semidirect
47. #15688986C22semidirect
50. #15688983C22semidirect
52. C4⋊C4×Dic47C22semidirect
53. C4×C4⋊Dic47C22semidirect
55. C22⋊C4×Dic47C22semidirect
59. C4×C22⋊Dic47C22semidirect
60. #15688969C22semidirect
63. C2×C47⋊#95C22semidirect
66. C47×#525C4semidirect
124. C23×C4×C47C2×C4semidirect
132. #123×C47C2×C4semidirect
133. C22⋊Q8×C47C2×C4semidirect
134. C22⋊Q8×C47C2×C4semidirect
135. #121×C47C2×C4semidirect
136. #121×C47C2×C4semidirect
137. #120×C47C2×C4semidirect
138. C4×D4×C47C2×C4semidirect
139. C4×D4×C47C2×C4semidirect
140. #117×C47C2×C4semidirect
354. #525Dic47semidirect
412. C47#34396semidirect
424. C23×C4C2×Dic47semidirect
432. #123C2×Dic47semidirect
433. C22⋊Q8C2×Dic47semidirect
434. C22⋊Q8C2×Dic47semidirect
435. #121C2×Dic47semidirect
436. #121C2×Dic47semidirect
437. #120C2×Dic47semidirect
439. C4×D4C2×Dic47semidirect
440. C4×D4C2×Dic47semidirect
442. #117C2×Dic47semidirect

Maximal subgroups

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

subgroupindex
#202465542
#202465452
#202463842
#202463612
#202463282
#202462482
#202462182
#202461552
#202461462
#202460492
#202460312
#202460212
#202457712
C2×#156889862
C2×C47×#5252
#3439647