Finite Group Databasebeta

← #26376555

Subgroups — #26376555

Order 12032.

3534 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689630C211yesmaximal, characteristic
2C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
3#20246400C214yesmaximal, complemented
4#20246389C214yesmaximal, complemented
5#20246318C214yesmaximal, complemented
6C4⋊C4×C22⋊D47C214yesmaximal, complemented
7#20246053C214yesmaximal, complemented
8#20246008C211yesmaximal, characteristic, complemented
9#20245980C211yesmaximal, characteristic, complemented
10C4×#13093992C214yesmaximal, complemented
11#20245767C211yesmaximal, characteristic, complemented
12#20245745C211yesmaximal, characteristic, complemented
13C2×C47×#520C211yesmaximal, characteristic, complemented
14C23×C4×D47C2211yescharacteristic
15C23×C4×D47C2212yes—
16#15689630C4116yescomplemented
17C2×#13094005C2212yes—
18C2×#13094000C2212yes—
19C2×#13093995C2212yes—
20C2×#13093992C2212yes—
21C2×C4×C22⋊D47C2218yes—
22C2×C4×C22⋊D47C2214yes—
23C2×#13093983C2211yescharacteristic
24C2×#13093983C2211yescharacteristic
25C22×C4⋊Dic47C2211yescharacteristic
26C22×Dic47⋊C4C2212yes—
27C2×C4⋊C4×D47—28no—
28C2×C4⋊C4×D47C2214yes—
29C2×C4⋊C4×D47C2214yes—
30#15689030C2212yescomplemented
31#15689026C2212yescomplemented
32#15689021C2214yescomplemented
33#15689018C2218yescomplemented
34#15689017C2218yescomplemented
35#15689007C2218yescomplemented
36#15689003C2214yes—
37#15688999C2218yes—
38#15688996C2218yescomplemented
39#15688995C2214yes—
40#15688994C2218yes—
41#15688992C2212yescomplemented
42#15688988C2212yescomplemented
43#15688984C2212yes—
44#15688983C2214yescomplemented
45#15688980C2212yes—
46#15688980C2212yes—
47#15688978C2212yes—
48C4⋊C4×Dic47C2214yescomplemented
49C4⋊C4×Dic47C2214yescomplemented
50C4×(C2×D47)⋊C4C2214yes—
51C4×(C2×D47)⋊C4C2218yes—
52C4×C22⋊Dic47C2214yes—
53C22×#41×C47C2211yescharacteristic
54C47×#520—28no—
55C2×C4×Q8×C47C2212yescomplemented
56C2×C4×D4×C47C2214yes—
57C2×C4×D4×C47C2212yescomplemented
58C2×#117×C47C2211yescharacteristic
59C2×#117×C47C2212yescomplemented
60C22×C4⋊C4×C47C2211yescharacteristic
61C22×C4⋊C4×C47C2212yescomplemented
62C24×D47C2311yescharacteristic
63C22×C22⋊D47C2314yes—
64C23×Dic47C2311yescharacteristic
65C23×Dic47C2312yes—
66C22×C4×D47—24no—
67C22×C4×D47—24no—
68C22×C4×D47—28no—
69C22×C4×D47—48no—
70C22×C4×D47C2×C418yescomplemented
71C22×C4×D47C2318yes—
72C22×C4×D47C2312yes—
73C22×C4×D47C2312yes—
74#13094005C2×C4116yescomplemented
75#13094000C2×C4116yescomplemented
76#13093995C2×C4116yescomplemented
77#13093992C2×C4116yescomplemented
78C4×C22⋊D47—416no—
79C4×C22⋊D47C2×C4132yescomplemented
80#13093983—24no—
81#13093983C2×C418yescomplemented
82C2×C4⋊Dic47—24no—
83C2×C4⋊Dic47C2312yes—
84C2×C4⋊Dic47C2312yes—
85C2×C4⋊Dic47C2312yes—
86C2×C4⋊Dic47C2312yes—
87C2×Dic47⋊C4—28no—
88C2×Dic47⋊C4C2318yes—
89C2×Dic47⋊C4C2318yes—
90C2×Dic47⋊C4C2314yes—
91C4⋊C4×D47—216no—
92C4⋊C4×D47—216no—
93C2×C22⋊Dic47C2312yes—
94C2×C22⋊Dic47C2318yes—
95C2×C22⋊Dic47C2312yes—
96C2×C22⋊Dic47C2314yes—
97C2×(C2×D47)⋊C4C2314yes—
98C2×(C2×D47)⋊C4C2314yes—
99C2×(C2×D47)⋊C4C2314yes—
100C2×C4×Dic47C2312yes—
101C2×C4×Dic47C2318yes—
102C2×C4×Dic47C2312yes—
103C47⋊#95C2318yes—
104C47⋊#95C2314yes—
105C47⋊#95C2314yes—
106C47⋊#95C2318yes—
107C47⋊#95C2318yes—
108C2×#41×C47—24no—
109C2×#41×C47—24no—
110C2×#41×C47C2×C418yescomplemented
111C22×Q8×C47C2311yescharacteristic
112C22×D4×C47C2312yes—
113C22×D4×C47C2311yescharacteristic
114C23×C4×C47C2312yes—
115C23×C4×C47C2314yes—
116C23×C4×C47C2312yes—
117C23×C4×C47C2311yescharacteristic
118C4×Q8×C47—28no—
119C4×D4×C47—216no—
120C4×D4×C47—28no—
121#117×C47—24no—
122#117×C47—28no—
123C2×C4⋊C4×C47—28no—
124C2×C4⋊C4×C47D418yescomplemented
125C2×C4⋊C4×C47C2311yescharacteristic
126C2×C4⋊C4×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2314yes—
128C2×C4⋊C4×C47C2312yes—
129C2×C4⋊C4×C47C2312yes—
130C2×C22⋊C4×C47C2312yes—
131C2×C22⋊C4×C47C2314yes—
132C2×C42×C47C2314yes—
133C2×C42×C47C2312yes—
134C24×C47C2412yes—
135C24×C47C2411yescharacteristic
136C23×D47—22no—
137C23×D47—22no—
138C23×D47—24no—
139C23×D47—24no—
140C23×D47C22×C414yes—
141C23×D47C2412yes—
142#41×C47—232no—
143C2×Q8×C47—22no—
144C2×Q8×C47—22no—
145C2×Q8×C47C22×C414yescomplemented
146C2×D4×C47—24no—
147C2×D4×C47—24no—
148C2×D4×C47—22no—
149C2×D4×C47—22no—
150C2×D4×C47C22×C418yes—
151C2×D4×C47C22×C414yescomplemented
152C22×C4×C47—24no—
153C22×C4×C47—24no—
154C22×C4×C47—28no—
155C22×C4×C47—44no—
156C22×C4×C47—48no—
157C22×C4×C47C22×C414yes—
158C22×C4×C47C22×C418yescomplemented
159C22×C4×C47C2×D418yes—
160C22×C4×C47C2×D414yes—
161C22×C4×C47#4114yes—
162C22×C4×C47C2412yes—
163C22×C4×C47C2412yes—
164C22×C4×C47C2412yes—
165C22×C4×C47C2414yes—
166C22×C4×C47C2411yescharacteristic
167C22×C4×C47C2411yescharacteristic
168C2×C22⋊D47—28no—
169C2×C22⋊D47—28no—
170C2×C22⋊D47C22×C4116yes—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—24no—
174C22×Dic47—44no—
175C22×Dic47C22×C414yes—
176C22×Dic47C2414yes—
177C22×Dic47C2414yes—
178C22×Dic47C2414yes—
179C22×Dic47C2412yes—
180C2×C4×D47—232no—
181C2×C4×D47—24no—
182C2×C4×D47—24no—
183C2×C4×D47—24no—
184C2×C4×D47—24no—
185C2×C4×D47—216no—
186C2×C4×D47—216no—
187C2×C4×D47—48no—
188C2×C4×D47—432no—
189C2×C4×D47C22×C418yes—
190C2×C4×D47C22×C418yes—
191C4⋊C4×C47—22no—
192C4⋊C4×C47—28no—
193C4⋊C4×C47—22no—
194C4⋊C4×C47C2×D418yes—
195C4⋊C4×C47C2×D418yes—
196C22⋊C4×C47—24no—
197C22⋊C4×C47—28no—
198C42×C47—28no—
199C42×C47—24no—
200C22⋊Dic47—24no—
201C22⋊Dic47—48no—
202C22⋊Dic47C22×C418yes—
203C22⋊Dic47C22×C4116yescomplemented
204(C2×D47)⋊C4—28no—
205(C2×D47)⋊C4—28no—
206(C2×D47)⋊C4C22×C4116yes—
207C4⋊Dic47—24no—
208C4⋊Dic47—24no—
209C4⋊Dic47—24no—
210C4⋊Dic47C22×C418yescomplemented
211Dic47⋊C4—216no—
212Dic47⋊C4—48no—
213Dic47⋊C4C22×C4116yescomplemented
214C4×Dic47—24no—
215C4×Dic47—48no—
216C4×Dic47C22×C418yescomplemented
217C23×C47—22no—
218C23×C47—22no—
219C23×C47—22no—
220C23×C47—22no—
221C23×C47—24no—
222C23×C47—24no—
223C23×C47C23×C414yes—
224C23×C47C23×C412yes—
225C23×C47C22×D412yes—
226C23×C47C2×#4112yes—
227C23×C47C2511yescharacteristic
228C22×D47—28no—
229C22×D47—28no—
230C22×D47—216no—
231C22×D47—28no—
232C22×D47—22no—
233C22×D47—22no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—216no—
237C22×D47C23×C414yes—
238C22×D47H(5,𝔽2)14yes—
239C22×D472−1+414yes—
240Q8×C47—28no—
241D4×C47—216no—
242D4×C47—28no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—28no—
246C2×C4×C47—216no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—24no—
250C2×C4×C47—24no—
251C2×C4×C47—48no—
252C2×C4×C47—88no—
253C2×C4×C47C4×D4116yescomplemented
254C2×C4×C47C23×C414yes—
255C2×C4×C47C23×C412yes—
256C2×C4×C47C23×C412yes—
257C2×C4×C47C22×D418yes—
258C2×C4×C47C22×D412yes—
259C2×C4×C47C22×D412yes—
260C2×C4×C47C2×#4112yes—
261C2×C4×C47C2×#4112yes—
262C22⋊D47—232no—
263C2×Dic47—28no—
264C2×Dic47—22no—
265C2×Dic47—22no—
266C2×Dic47—24no—
267C2×Dic47—24no—
268C2×Dic47—24no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—28no—
272C2×Dic47—24no—
273C2×Dic47—48no—
274C2×Dic47C23×C418yes—
275C2×Dic47C23×C414yes—
276C4×D47—216no—
277C4×D47—216no—
278C4×D47—432no—
279#34200—471nomaximal, Sylow
280C22×C47—24no—
281C22×C47—22no—
282C22×C47—22no—
283C22×C47—24no—
284C22×C47—24no—
285C22×C47—28no—
286C22×C47—42no—
287C22×C47—42no—
288C22×C47—44no—
289C22×C47C2×C4×D414yes—
290C22×C47C24×C411yescharacteristic
291C22×C47C23×D411yescharacteristic
292C22×C47C22×#4111yescharacteristic
293C22×C47C2×H(5,𝔽2)12yes—
294C22×C47C2×2−1+412yes—
295C2×D47—232no—
296C2×D47—24no—
297C2×D47—24no—
298C2×D47—24no—
299C2×D47—24no—
300C2×D47—24no—
301C2×D47—24no—
302C2×D47#52018yescomplemented
303C4×C47—24no—
304C4×C47—28no—
305C4×C47—42no—
306C4×C47—42no—
307C4×C47C2×C4×D414yes—
308C4×C47C2×C4×D414yes—
309Dic47—24no—
310Dic47—28no—
311Dic47—44no—
312Dic47—44no—
313C2×#525—471no—
314C2×#520D4711yescharacteristic, complemented
315C23×C4⋊C4—471no—
316#2361—474no—
317#2360—474no—
318#2352—474no—
319D4×C4⋊C4—474no—
320#2322—474no—
321#2317—471no—
322#2311—471no—
323C4×#120—474no—
324#2280—471no—
325#2274—471no—
326C2×C47—24no—
327C2×C47—44no—
328C2×C47C22×C4×D411yescharacteristic
329C2×C47C2×#52012yes—
330C2×C47#348411yescharacteristic
331C2×C47#348611yescharacteristic
332C2×C47#349212yes—
333D47—28no—
334C22×#41C2×D4711yescharacteristic
335C24×C4—471no—
336C24×C4—472no—
337#525—4716no—
338C2×#123—472no—
339C2×C22⋊Q8—472no—
340C2×#121—472no—
341C2×#120—472no—
342#520—28no—
343C2×C4×Q8C2×D4712yescomplemented
344C2×C4×D4—474no—
345C2×C4×D4—478no—
346C2×C4×D4C2×D4714yes—
347C2×C4×D4C2×D4712yescomplemented
348C2×#117—471no—
349C2×#117—471no—
350C2×#117C2×D4711yescharacteristic
351C2×#117C2×D4712yescomplemented
352C22×C4⋊C4—471no—
353C22×C4⋊C4—472no—
354C22×C4⋊C4—474no—
355C22×C4⋊C4—474no—
356C22×C4⋊C4—948no—
357C22×C4⋊C4C2×D4711yescharacteristic
358C22×C4⋊C4C2×D4712yescomplemented
359#391—472no—
360#390—472no—
361#389—478no—
362#389—474no—
363#388—478no—
364#387—478no—
365#386—474no—
366#386—478no—
367#385—478no—
368#385—478no—
369#385—474no—
370#384—472no—
371#382—472no—
372#381—472no—
373#380—474no—
374#380—472no—
375#380—472no—
376#379—472no—
377C4×C4⋊C4—474no—
378C4×C4⋊C4—474no—
379C4×C22⋊C4—474no—
380C4×C22⋊C4—478no—
381C4×C22⋊C4—474no—
382C47#3420011yescharacteristic, complemented, Sylow
383C25—471no—
384C2×#41—24no—
385C2×#41—24no—
386C2×#41C4×D4718yescomplemented
387C22×Q8C22×D4711yescharacteristic
388C22×D4—474no—
389C22×D4C22×D4712yes—
390C22×D4C22×D4711yescharacteristic
391C23×C4—471no—
392C23×C4—478no—
393C23×C4—472no—
394C23×C4—472no—
395C23×C4—472no—
396C23×C4—478no—
397C23×C4—944no—
398C23×C4—944no—
399C23×C4—948no—
400C23×C4—1888no—
401C23×C4C22×D4712yes—
402C23×C4C22×D4714yes—
403C23×C4C22×D4712yes—
404C23×C4C22×D4711yescharacteristic
405#123—4716no—
406C22⋊Q8—4716no—
407#121—4716no—
408#120—4716no—
409C4×Q8—28no—
410C4×D4—216no—
411C4×D4—28no—
412C4×D4—4732no—
413C4×D4—18816no—
414#117—24no—
415#117—28no—
416#117—478no—
417#117—944no—
418C2×C4⋊C4—28no—
419C2×C4⋊C4—472no—
420C2×C4⋊C4—474no—
421C2×C4⋊C4—478no—
422C2×C4⋊C4—472no—
423C2×C4⋊C4—472no—
424C2×C4⋊C4—472no—
425C2×C4⋊C4—478no—
426C2×C4⋊C4—948no—
427C2×C4⋊C4—944no—
428C2×C4⋊C4—9416no—
429C2×C4⋊C4—9416no—
430C2×C4⋊C4C22⋊D4718yescomplemented
431C2×C4⋊C4C22×D4711yescharacteristic
432C2×C4⋊C4C22×D4714yes—
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C4⋊C4C22×D4712yes—
435C2×C4⋊C4C22×D4712yes—
436C2×C22⋊C4—472no—
437C2×C22⋊C4—474no—
438C2×C22⋊C4—474no—
439C2×C22⋊C4—472no—
440C2×C22⋊C4—474no—
441C2×C22⋊C4—474no—
442C2×C22⋊C4—478no—
443C2×C22⋊C4C22×D4712yes—
444C2×C22⋊C4C22×D4714yes—
445C2×C42—472no—
446C2×C42—472no—
447C2×C42—478no—
448C2×C42C22×D4712yes—
449C2×C42C22×D4714yes—
450#95—478no—
451#95—474no—
452#95—474no—
453#95—478no—
454#95—478no—
455C24—472no—
456C24—474no—
457C24—944no—
458C24—944no—
459C24—942no—
460C24—942no—
461C24C23×D4712yes—
462C24C23×D4711yescharacteristic
463#41—232no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8C2×C4×D4714yescomplemented
467C2×D4—24no—
468C2×D4—24no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—4716no—
472C2×D4—948no—
473C2×D4—948no—
474C2×D4C2×C4×D4718yes—
475C2×D4C2×C4×D4714yescomplemented
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—28no—
479C22×C4—44no—
480C22×C4—48no—
481C22×C4—474no—
482C22×C4—474no—
483C22×C4—472no—
484C22×C4—478no—
485C22×C4—478no—
486C22×C4—474no—
487C22×C4—474no—
488C22×C4—9416no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—9432no—
492C22×C4—944no—
493C22×C4—944no—
494C22×C4—944no—
495C22×C4—944no—
496C22×C4—944no—
497C22×C4—9416no—
498C22×C4—1888no—
499C22×C4—18832no—
500C22×C4—1884no—
501C22×C4C2×C4×D4714yes—
502C22×C4C2×C4×D4718yescomplemented
503C22×C4#1062535014yes—
504C22×C4C2×C22⋊D4718yes—
505C22×C4C2×C22⋊D4714yes—
506C22×C4C23×D4712yes—
507C22×C4C23×D4712yes—
508C22×C4C23×D4712yes—
509C22×C4C23×D4714yes—
510C22×C4C23×D4711yescharacteristic
511C22×C4C23×D4711yescharacteristic
512C4⋊C4—22no—
513C4⋊C4—28no—
514C4⋊C4—22no—
515C4⋊C4—4716no—
516C4⋊C4—478no—
517C4⋊C4—9416no—
518C4⋊C4—944no—
519C4⋊C4—944no—
520C4⋊C4—944no—
521C4⋊C4—1888no—
522C4⋊C4C2×C22⋊D4718yes—
523C4⋊C4C2×C22⋊D4718yes—
524C22⋊C4—24no—
525C22⋊C4—28no—
526C22⋊C4—478no—
527C22⋊C4—4716no—
528C22⋊C4—4716no—
529C22⋊C4—948no—
530C22⋊C4—948no—
531C22⋊C4—944no—
532C22⋊C4—1888no—
533C42—28no—
534C42—24no—
535C42—478no—
536C42—944no—
537C42—1888no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—24no—
543C23—24no—
544C23—474no—
545C23—474no—
546C23—474no—
547C23—9416no—
548C23—948no—
549C23—948no—
550C23—9416no—
551C23—948no—
552C23—942no—
553C23—942no—
554C23—942no—
555C23—942no—
556C23C22×C4×D4714yes—
557C23C22×C4×D4712yes—
558C23C22×C22⋊D4712yes—
559C23C2×#1062535012yes—
560C23C24×D4711yescharacteristic
561Q8—28no—
562D4—216no—
563D4—28no—
564D4—9432no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—28no—
568C2×C4—216no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—48no—
574C2×C4—88no—
575C2×C4—478no—
576C2×C4—474no—
577C2×C4—948no—
578C2×C4—942no—
579C2×C4—942no—
580C2×C4—944no—
581C2×C4—944no—
582C2×C4—9416no—
583C2×C4—9416no—
584C2×C4—944no—
585C2×C4—944no—
586C2×C4—944no—
587C2×C4—948no—
588C2×C4—944no—
589C2×C4—18832no—
590C2×C4—1888no—
591C2×C4C4×C22⋊D47116yescomplemented
592C2×C4C22×C4×D4714yes—
593C2×C4C22×C4×D4712yes—
594C2×C4C22×C4×D4712yes—
595C2×C4C22×C22⋊D4718yes—
596C2×C4C22×C22⋊D4712yes—
597C2×C4C22×C22⋊D4712yes—
598C2×C4C2×#1062535012yes—
599C2×C4C2×#1062535012yes—
600C22—22no—
601C22—24no—
602C22—24no—
603C22—22no—
604C22—24no—
605C22—28no—
606C22—42no—
607C22—44no—
608C22—42no—
609C22—478no—
610C22—9432no—
611C22—944no—
612C22—944no—
613C22—944no—
614C22—944no—
615C22—944no—
616C22—944no—
617C22C2×C4×C22⋊D4714yes—
618C22C23×C4×D4711yescharacteristic
619C22C23×C22⋊D4711yescharacteristic
620C22C22×#1062535011yescharacteristic
621C22H(5,𝔽2)×D4712yes—
622C222−1+4×D4712yes—
623C4—24no—
624C4—28no—
625C4—42no—
626C4—42no—
627C4—944no—
628C4—948no—
629C4—1884no—
630C4—1884no—
631C4C2×C4×C22⋊D4714yes—
632C4C2×C4×C22⋊D4714yes—
633C2—24no—
634C2—44no—
635C2—948no—
636C2C22×C4×C22⋊D4711yescharacteristic
637C2#520×D4712yes—
638C2#2025701911yescharacteristic
639C2#2025703611yescharacteristic
640C2#2025709112yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC2×C47×#520C2
socle, cosocleC23×C47C25
prime radicalC2×#15689630C2
hypercenterC2×#520D47
hypocenterC47#34200
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D47C2semidirect
3. #20246400C2semidirect
4. #20246389C2semidirect
5. #20246318C2semidirect
6. C4⋊C4×C22⋊D47C2semidirect
7. #20246053C2semidirect
8. #20246008C2semidirect
9. #20245980C2semidirect
10. C4×#13093992C2semidirect
11. #20245767C2semidirect
12. #20245745C2semidirect
13. C2×C47×#520C2semidirect
16. #15689630C4semidirect
30. #15689030C22semidirect
31. #15689026C22semidirect
32. #15689021C22semidirect
33. #15689018C22semidirect
34. #15689017C22semidirect
35. #15689007C22semidirect
38. #15688996C22semidirect
41. #15688992C22semidirect
42. #15688988C22semidirect
44. #15688983C22semidirect
48. C4⋊C4×Dic47C22semidirect
49. C4⋊C4×Dic47C22semidirect
55. C2×C4×Q8×C47C22semidirect
57. C2×C4×D4×C47C22semidirect
59. C2×#117×C47C22semidirect
61. C22×C4⋊C4×C47C22semidirect
70. C22×C4×D47C2×C4semidirect
74. #13094005C2×C4semidirect
75. #13094000C2×C4semidirect
76. #13093995C2×C4semidirect
77. #13093992C2×C4semidirect
79. C4×C22⋊D47C2×C4semidirect
81. #13093983C2×C4semidirect
110. C2×#41×C47C2×C4semidirect
124. C2×C4⋊C4×C47D4semidirect
145. C2×Q8×C47C22×C4semidirect
151. C2×D4×C47C22×C4semidirect
158. C22×C4×C47C22×C4semidirect
203. C22⋊Dic47C22×C4semidirect
210. C4⋊Dic47C22×C4semidirect
213. Dic47⋊C4C22×C4semidirect
216. C4×Dic47C22×C4semidirect
253. C2×C4×C47C4×D4semidirect
302. C2×D47#520semidirect
314. C2×#520D47semidirect
343. C2×C4×Q8C2×D47semidirect
347. C2×C4×D4C2×D47semidirect
351. C2×#117C2×D47semidirect
358. C22×C4⋊C4C2×D47semidirect
382. C47#34200semidirect
386. C2×#41C4×D47semidirect
430. C2×C4⋊C4C22⋊D47semidirect
466. C2×Q8C2×C4×D47semidirect
475. C2×D4C2×C4×D47semidirect
502. C22×C4C2×C4×D47semidirect
591. C2×C4C4×C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156896302
C22×C4⋊C4×D472
#202464002
#202463892
#202463182
C4⋊C4×C22⋊D472
#202460532
#202460082
#202459802
C4×#130939922
#202457672
#202457452
C2×C47×#5202
#3420047