Finite Group Databasebeta

← C2×#339×D47 #26213658

Subgroups — C2×#339×D47 #26213658

Order 12032.

2830 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic
2C2×#117×D47C211yesmaximal, characteristic
3C22×C42×D47C211yesmaximal, characteristic
4C2×#15688884C211yesmaximal, characteristic, complemented
5C2×#15688883C211yesmaximal, characteristic, complemented
6C2×#15688882C211yesmaximal, characteristic, complemented
7#339×D47C218yesmaximal, direct product factor
8C2×C47×#339C211yesmaximal, characteristic, complemented
9C23×C4×D47—21no—
10C23×C4×D47C2211yescharacteristic
11C22×#10625329C2211yescharacteristic
12C22×#10625324—21no—
13C2×M16×D47—24no—
14C2×M16×D47—22no—
15C2×M16×D47C418yescomplemented
16C2×M16×D47C2214yes—
17C22×C8×D47—21no—
18C2×#13093983C2211yescharacteristic
19C2×#13093982C412yescomplemented
20C2×#13093981—21no—
21C2×#13093980—21no—
22#117×D47—22no—
23#117×D47—22no—
24#117×D47C414yescomplemented
25#117×D47C2214yes—
26C2×C4⋊C4×D47C412yescomplemented
27C2×C22⋊C4×D47—21no—
28C22×C4×Dic47—21no—
29C22×C4×Dic47C2211yescharacteristic
30C2×C42×D47—22no—
31C2×C42×D47—24no—
32C2×C42×D47—21no—
33C2×C42×D47C418yescomplemented
34C2×C42×D47C2214yes—
35#15688884C2214yescomplemented
36#15688883C2214yescomplemented
37#15688882C2214yescomplemented
38C22×M16×C47C2211yescharacteristic
39C2×#117×C47C2211yescharacteristic
40C22×C42×C47C2211yescharacteristic
41C47×#339C2214yescomplemented
42C24×D47D411yescharacteristic
43C23×Dic47—21no—
44C23×Dic47D411yescharacteristic
45C22×C4×D47—216no—
46C22×C4×D47—28no—
47C22×C4×D47—24no—
48C22×C4×D47—22no—
49C22×C4×D47C2×C414yes—
50C22×C4×D47C2×C414yes—
51C22×C4×D47C2×C411yescharacteristic
52C22×C4×D47C2×C412yes—
53C22×C4×D47C2×C411yescharacteristic
54C22×C4×D47D412yes—
55C22×C4×D47D411yescharacteristic
56C22×C4×D47D414yes—
57C22×C4×D47D412yes—
58C22×C4×D47D411yescharacteristic
59C22×C4×D47Q814yes—
60C22×C4×D47C2312yes—
61C2×#10625329—22no—
62C2×#10625329—21no—
63C2×#10625329C2×C414yescomplemented
64C2×#10625329C2312yes—
65C2×#10625324—28no—
66C2×#10625324—24no—
67M16×D47—216no—
68M16×D47—28no—
69M16×D47C2×C4116yescomplemented
70C22×C47⋊C8—21no—
71C2×C8×D47—28no—
72C2×C8×D47—24no—
73#13093983—21no—
74#13093983—21no—
75#13093983C2×C412yescomplemented
76#13093983C2312yes—
77#13093982—24no—
78#13093982C2×C418yescomplemented
79#13093981—24no—
80#13093981—24no—
81#13093980—24no—
82#13093980—24no—
83C2×C4⋊Dic47C2×C412yescomplemented
84C2×Dic47⋊C4—22no—
85C4⋊C4×D47—24no—
86C4⋊C4×D47C2×C418yescomplemented
87C2×C22⋊Dic47—21no—
88C2×(C2×D47)⋊C4—22no—
89C22⋊C4×D47—24no—
90C22⋊C4×D47—24no—
91C2×C4×Dic47—21no—
92C2×C4×Dic47—22no—
93C2×C4×Dic47—21no—
94C2×C4×Dic47—28no—
95C2×C4×Dic47—22no—
96C2×C4×Dic47—24no—
97C2×C4×Dic47C2×C414yescomplemented
98C2×C4×Dic47C2312yes—
99C42×D47—216no—
100C42×D47—24no—
101C42×D47—28no—
102C42×D47—24no—
103C42×D47C2×C4116yescomplemented
104C23×C4×C47—21no—
105C23×C4×C47C2311yescharacteristic
106C2×M16×C47—22no—
107C2×M16×C47—21no—
108C2×M16×C47C2×C414yescomplemented
109C2×M16×C47C2312yes—
110C22×C8×C47—21no—
111#117×C47—21no—
112#117×C47—21no—
113#117×C47C2×C412yescomplemented
114#117×C47C2312yes—
115C2×C4⋊C4×C47C2×C412yescomplemented
116C2×C22⋊C4×C47—21no—
117C2×C42×C47—21no—
118C2×C42×C47—22no—
119C2×C42×C47—21no—
120C2×C42×C47C2×C414yescomplemented
121C2×C42×C47C2312yes—
122C24×C47C2×D411yescharacteristic
123C23×D47—28no—
124C23×D47C22⋊C412yes—
125C23×D47C22⋊C411yescharacteristic
126C23×D47C22⋊C414yes—
127C23×D47C22⋊C411yescharacteristic
128C23×D47C4⋊C414yes—
129C23×D47C2×D412yes—
130C22×C4×C47—28no—
131C22×C4×C47—24no—
132C22×C4×C47—22no—
133C22×C4×C47—22no—
134C22×C4×C47C22×C412yes—
135C22×C4×C47C22×C412yes—
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C22×C411yescharacteristic
138C22×C4×C47C2×D411yescharacteristic
139C22×C4×C47C2×D412yes—
140C22×C4×C47C2×D411yescharacteristic
141C22×C4×C47C2×D411yescharacteristic
142C22×C4×C47C2×Q812yes—
143C22×C4×C47C2411yescharacteristic
144C22×Dic47—28no—
145C22×Dic47—24no—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47C22⋊C414yes—
149C22×Dic47C22⋊C411yescharacteristic
150C22×Dic47C22⋊C411yescharacteristic
151C22×Dic47C22⋊C412yes—
152C22×Dic47C4⋊C414yes—
153C22×Dic47C2×D412yes—
154C2×C4×D47—264no—
155C2×C4×D47—232no—
156C2×C4×D47—216no—
157C2×C4×D47—28no—
158C2×C4×D47—48no—
159C2×C4×D47C4218yes—
160C2×C4×D47C4214yes—
161C2×C4×D47C4214yes—
162C2×C4×D47C22⋊C418yes—
163C2×C4×D47C22⋊C412yes—
164C2×C4×D47C22⋊C412yes—
165C2×C4×D47C22⋊C412yes—
166C2×C4×D47C22⋊C412yes—
167C2×C4×D47C22⋊C414yes—
168C2×C4×D47C22⋊C418yes—
169C2×C4×D47C22⋊C414yes—
170C2×C4×D47C4⋊C418yes—
171C2×C4×D47C4⋊C418yes—
172C2×C4×D47C4⋊C414yes—
173C2×C4×D47C4⋊C418yes—
174C2×C4×D47C4⋊C414yes—
175C2×C4×D47C4⋊C414yes—
176C2×C4×D47C4⋊C414yes—
177C2×C4×D47C22×C414yes—
178C2×C4×D47C22×C414yes—
179C2×C4×D47C22×C412yes—
180C2×C4×D47C22×C412yes—
181C2×C4×D47C2×D412yes—
182C2×C4×D47C2×D414yes—
183C2×C4×D47C2×D412yes—
184C2×C4×D47C2×Q814yes—
185M16×C47—24no—
186M16×C47—22no—
187M16×C47C22×C414yescomplemented
188C2×C8×C47—24no—
189C2×C8×C47—22no—
190C4⋊C4×C47—22no—
191C4⋊C4×C47C22×C414yescomplemented
192C22⋊C4×C47—22no—
193C22⋊C4×C47—22no—
194C42×C47—24no—
195C42×C47—22no—
196C42×C47—22no—
197C42×C47—22no—
198C42×C47C22×C414yescomplemented
199C22⋊Dic47—22no—
200C22⋊Dic47—22no—
201(C2×D47)⋊C4—28no—
202C4⋊Dic47—22no—
203C4⋊Dic47C22×C414yescomplemented
204Dic47⋊C4—28no—
205C4×Dic47—24no—
206C4×Dic47—22no—
207C4×Dic47—22no—
208C4×Dic47—22no—
209C4×Dic47—216no—
210C4×Dic47—28no—
211C4×Dic47C22×C414yescomplemented
212#10625329—24no—
213#10625329—22no—
214#10625329C22×C414yescomplemented
215C2×C47⋊C8—24no—
216C2×C47⋊C8—22no—
217#10625324—216no—
218C8×D47—216no—
219C23×C47—24no—
220C23×C47C2×C22⋊C411yescharacteristic
221C23×C47C2×C22⋊C412yes—
222C23×C47C2×C22⋊C411yescharacteristic
223C23×C47C2×C4⋊C412yes—
224C23×C47C22×D411yescharacteristic
225C22×D47—24no—
226C22×D47—216no—
227C22×D47—216no—
228C22×D47—28no—
229C22×D47—28no—
230C22×D47#9514yes—
231C22×D47#9518yes—
232C22×D47#9514yes—
233C22×D47#10418yes—
234C22×D47C2×C22⋊C412yes—
235C22×D47C2×C22⋊C414yes—
236C22×D47C2×C22⋊C412yes—
237C22×D47C2×C4⋊C414yes—
238C2×C4×C47—28no—
239C2×C4×C47—216no—
240C2×C4×C47—24no—
241C2×C4×C47—24no—
242C2×C4×C47—44no—
243C2×C4×C47C2×C4212yes—
244C2×C4×C47C2×C4212yes—
245C2×C4×C47C2×C22⋊C412yes—
246C2×C4×C47C2×C22⋊C412yes—
247C2×C4×C47C2×C22⋊C412yes—
248C2×C4×C47C2×C22⋊C411yescharacteristic
249C2×C4×C47C2×C22⋊C411yescharacteristic
250C2×C4×C47C2×C4⋊C412yes—
251C2×C4×C47C2×C4⋊C412yes—
252C2×C4×C47C2×C4⋊C412yes—
253C2×C4×C47C2×C4⋊C412yes—
254C2×C4×C47C2×C4⋊C412yes—
255C2×C4×C47C23×C411yescharacteristic
256C2×C4×C47C23×C411yescharacteristic
257C2×C4×C47C23×C411yescharacteristic
258C2×C4×C47C22×D411yescharacteristic
259C2×C4×C47C22×D411yescharacteristic
260C2×C4×C47C22×Q811yescharacteristic
261C2×Dic47—28no—
262C2×Dic47—216no—
263C2×Dic47—24no—
264C2×Dic47—24no—
265C2×Dic47—44no—
266C2×Dic47#9518yes—
267C2×Dic47#9514yes—
268C2×Dic47#9514yes—
269C2×Dic47C2×C22⋊C414yes—
270C2×Dic47C2×C22⋊C412yes—
271C2×Dic47C2×C22⋊C412yes—
272C2×Dic47C2×C4⋊C414yes—
273C4×D47—264no—
274C4×D47—416no—
275C4×D47#9518yes—
276C4×D47#9518yes—
277C4×D47#9518yes—
278C4×D47#9518yes—
279C4×D47C2×C4214yes—
280C4×D47C2×C4214yes—
281C4×D47C2×C22⋊C414yes—
282C4×D47C2×C22⋊C414yes—
283C4×D47C2×C4⋊C414yes—
284C4×D47C2×C4⋊C414yes—
285C4×D47C2×C4⋊C414yes—
286C4×D47C2×C4⋊C414yes—
287C8×C47—24no—
288C47⋊C8—24no—
289C22×#339—471nomaximal, Sylow
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—24no—
293C22×C47—24no—
294C22×C47C2×#9512yes—
295C22×C47C2×#9512yes—
296C22×C47C2×#10414yes—
297C22×C47C22×C22⋊C411yescharacteristic
298C22×C47C22×C22⋊C411yescharacteristic
299C22×C47C22×C4⋊C411yescharacteristic
300C2×D47—24no—
301C2×D47—28no—
302C2×D47—28no—
303C2×D47—216no—
304C2×D47—28no—
305C2×D47#339116yesdirect product factor
306C2×D47C2×#9514yes—
307C2×D47C2×#9514yes—
308C2×D47C2×#10418yes—
309C4×C47—28no—
310C4×C47—44no—
311C4×C47C2×#9512yes—
312C4×C47C2×#9512yes—
313C4×C47C22×C4211yescharacteristic
314C4×C47C22×C22⋊C411yescharacteristic
315C4×C47C22×C4⋊C411yescharacteristic
316C4×C47C22×C4⋊C411yescharacteristic
317Dic47—28no—
318Dic47—44no—
319Dic47C2×#9514yes—
320Dic47C2×#9514yes—
321C23×M16—471no—
322C22×#117—471no—
323C23×C42—471no—
324C2×#339—471no—
325C2×#339—478no—
326C2×#339—471no—
327C2×#339—471no—
328C2×#339D4711yescharacteristic, direct product factor
329C2×C47—21no—
330C2×C47—21no—
331C2×C47—22no—
332C2×C47C2×#33914yescomplemented
333C2×C47C22×#9511yescharacteristic
334C2×C47C22×#10412yes—
335D47—24no—
336D47C2×#33918yesdirect product factor
337C24×C4—471no—
338C24×C4—941no—
339C22×M16—471no—
340C22×M16—478no—
341C22×M16—474no—
342C22×M16—941no—
343C22×M16—942no—
344C22×M16—944no—
345C22×M16C2×D4711yescharacteristic
346C23×C8—941no—
347C2×#117—471no—
348C2×#117—474no—
349C2×#117—474no—
350C2×#117—472no—
351C2×#117—941no—
352C2×#117—941no—
353C2×#117—942no—
354C2×#117—942no—
355C2×#117C2×D4711yescharacteristic
356C22×C4⋊C4—472no—
357C22×C22⋊C4—941no—
358C22×C42—471no—
359C22×C42—478no—
360C22×C42—474no—
361C22×C42—942no—
362C22×C42—944no—
363C22×C42—941no—
364C22×C42—941no—
365C22×C42C2×D4711yescharacteristic
366#339—474no—
367#339—474no—
368#339—474no—
369#339C2×D4714yesdirect product factor
370C47C22×#33911yescharacteristic, complemented, Sylow
371C25—471no—
372C23×C4—21no—
373C23×C4—471no—
374C23×C4—471no—
375C23×C4—471no—
376C23×C4—472no—
377C23×C4—474no—
378C23×C4—474no—
379C23×C4—472no—
380C23×C4—472no—
381C23×C4—474no—
382C23×C4—471no—
383C23×C4—471no—
384C23×C4—474no—
385C23×C4—472no—
386C23×C4—948no—
387C23×C4—944no—
388C23×C4—9416no—
389C23×C4—942no—
390C23×C4—941no—
391C23×C4C22×D4711yescharacteristic
392C2×M16—22no—
393C2×M16—21no—
394C2×M16—474no—
395C2×M16—472no—
396C2×M16—4716no—
397C2×M16—948no—
398C2×M16—944no—
399C2×M16—9416no—
400C2×M16—948no—
401C2×M16—942no—
402C2×M16—941no—
403C2×M16C4×D4714yescomplemented
404C2×M16C22×D4712yes—
405C22×C8—21no—
406C22×C8—948no—
407C22×C8—944no—
408C22×C8—941no—
409#117—21no—
410#117—21no—
411#117—472no—
412#117—472no—
413#117—478no—
414#117—944no—
415#117—944no—
416#117—944no—
417#117—944no—
418#117—944no—
419#117—941no—
420#117—941no—
421#117C4×D4712yescomplemented
422#117C22×D4712yes—
423C2×C4⋊C4—472no—
424C2×C4⋊C4—478no—
425C2×C4⋊C4—944no—
426C2×C4⋊C4—942no—
427C2×C4⋊C4C4×D4712yescomplemented
428C2×C22⋊C4—21no—
429C2×C22⋊C4—944no—
430C2×C22⋊C4—944no—
431C2×C22⋊C4—942no—
432C2×C22⋊C4—941no—
433C2×C42—21no—
434C2×C42—22no—
435C2×C42—21no—
436C2×C42—474no—
437C2×C42—472no—
438C2×C42—4716no—
439C2×C42—944no—
440C2×C42—944no—
441C2×C42—9416no—
442C2×C42—948no—
443C2×C42—942no—
444C2×C42—948no—
445C2×C42—944no—
446C2×C42—941no—
447C2×C42—942no—
448C2×C42—941no—
449C2×C42C4×D4714yescomplemented
450C2×C42C22×D4712yes—
451C24—471no—
452C24—472no—
453C24—471no—
454C24—474no—
455C24—474no—
456C24—472no—
457C24—948no—
458C24D4×D4711yescharacteristic
459C22×C4—28no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—474no—
464C22×C4—471no—
465C22×C4—471no—
466C22×C4—472no—
467C22×C4—474no—
468C22×C4—472no—
469C22×C4—474no—
470C22×C4—478no—
471C22×C4—474no—
472C22×C4—478no—
473C22×C4—472no—
474C22×C4—472no—
475C22×C4—472no—
476C22×C4—472no—
477C22×C4—474no—
478C22×C4—478no—
479C22×C4—474no—
480C22×C4—474no—
481C22×C4—478no—
482C22×C4—474no—
483C22×C4—478no—
484C22×C4—474no—
485C22×C4—474no—
486C22×C4—478no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—472no—
490C22×C4—474no—
491C22×C4—472no—
492C22×C4—474no—
493C22×C4—472no—
494C22×C4—474no—
495C22×C4—9416no—
496C22×C4—9432no—
497C22×C4—9464no—
498C22×C4—948no—
499C22×C4—948no—
500C22×C4—944no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—1888no—
504C22×C4C2×C4×D4712yes—
505C22×C4C2×C4×D4712yes—
506C22×C4C2×C4×D4711yescharacteristic
507C22×C4C2×C4×D4711yescharacteristic
508C22×C4D4×D4711yescharacteristic
509C22×C4D4×D4712yes—
510C22×C4D4×D4711yescharacteristic
511C22×C4D4×D4711yescharacteristic
512C22×C4Q8×D4712yes—
513C22×C4C23×D4711yescharacteristic
514M16—24no—
515M16—22no—
516M16—474no—
517M16—9416no—
518M16—944no—
519M16—942no—
520M16C2×C4×D4714yescomplemented
521C2×C8—24no—
522C2×C8—22no—
523C2×C8—9416no—
524C2×C8—944no—
525C2×C8—942no—
526C4⋊C4—22no—
527C4⋊C4—474no—
528C4⋊C4—948no—
529C4⋊C4—942no—
530C4⋊C4C2×C4×D4714yescomplemented
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—948no—
534C22⋊C4—942no—
535C22⋊C4—942no—
536C42—24no—
537C42—22no—
538C42—22no—
539C42—22no—
540C42—474no—
541C42—9416no—
542C42—948no—
543C42—944no—
544C42—942no—
545C42—942no—
546C42—942no—
547C42C2×C4×D4714yescomplemented
548C23—24no—
549C23—474no—
550C23—472no—
551C23—478no—
552C23—478no—
553C23—474no—
554C23—472no—
555C23—474no—
556C23—474no—
557C23—948no—
558C23—9416no—
559C23—948no—
560C23—9416no—
561C23—944no—
562C23C22⋊C4×D4711yescharacteristic
563C23C22⋊C4×D4712yes—
564C23C22⋊C4×D4711yescharacteristic
565C23C4⋊C4×D4712yes—
566C23C2×D4×D4711yescharacteristic
567C2×C4—28no—
568C2×C4—216no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—44no—
572C2×C4—478no—
573C2×C4—474no—
574C2×C4—474no—
575C2×C4—474no—
576C2×C4—472no—
577C2×C4—472no—
578C2×C4—474no—
579C2×C4—478no—
580C2×C4—478no—
581C2×C4—478no—
582C2×C4—478no—
583C2×C4—474no—
584C2×C4—474no—
585C2×C4—474no—
586C2×C4—474no—
587C2×C4—474no—
588C2×C4—474no—
589C2×C4—474no—
590C2×C4—474no—
591C2×C4—9464no—
592C2×C4—948no—
593C2×C4—9416no—
594C2×C4—944no—
595C2×C4—944no—
596C2×C4—18816no—
597C2×C4—1884no—
598C2×C4C42×D4712yes—
599C2×C4C42×D4712yes—
600C2×C4C22⋊C4×D4712yes—
601C2×C4C22⋊C4×D4711yescharacteristic
602C2×C4C22⋊C4×D4711yescharacteristic
603C2×C4C22⋊C4×D4712yes—
604C2×C4C22⋊C4×D4712yes—
605C2×C4C4⋊C4×D4712yes—
606C2×C4C4⋊C4×D4712yes—
607C2×C4C4⋊C4×D4712yes—
608C2×C4C4⋊C4×D4712yes—
609C2×C4C4⋊C4×D4712yes—
610C2×C4C22×C4×D4711yescharacteristic
611C2×C4C22×C4×D4711yescharacteristic
612C2×C4C22×C4×D4711yescharacteristic
613C2×C4C2×D4×D4711yescharacteristic
614C2×C4C2×D4×D4711yescharacteristic
615C2×C4C2×Q8×D4711yescharacteristic
616C8—24no—
617C8—944no—
618C22—22no—
619C22—22no—
620C22—24no—
621C22—24no—
622C22—478no—
623C22—4716no—
624C22—474no—
625C22—474no—
626C22—948no—
627C22—9416no—
628C22—948no—
629C22—944no—
630C22—948no—
631C22#95×D4712yes—
632C22#95×D4712yes—
633C22#104×D4714yes—
634C22C2×C22⋊C4×D4711yescharacteristic
635C22C2×C22⋊C4×D4711yescharacteristic
636C22C2×C4⋊C4×D4711yescharacteristic
637C4—28no—
638C4—44no—
639C4—474no—
640C4—474no—
641C4—948no—
642C4—1884no—
643C4#95×D4712yes—
644C4#95×D4712yes—
645C4C2×C42×D4711yescharacteristic
646C4C2×C22⋊C4×D4711yescharacteristic
647C4C2×C4⋊C4×D4711yescharacteristic
648C4C2×C4⋊C4×D4711yescharacteristic
649C2—21no—
650C2—22no—
651C2—21no—
652C2—478no—
653C2—944no—
654C2#339×D4714yesdirect product factor
655C2C2×#95×D4711yescharacteristic
656C2C2×#104×D4712yes—
subgroupG/H
centerC22×C4D4×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC2×C47×#339C2
socleC23×C47C2×C22⋊C4
prime radicalC24×D47D4
cosocleC22×C4×C47C24
hypercenterC2×#339D47
hypocenterC47C22×#339
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
4. C2×#15688884C2semidirect
5. C2×#15688883C2semidirect
6. C2×#15688882C2semidirect
7. #339×D47C2direct (N × H)
8. C2×C47×#339C2semidirect
15. C2×M16×D47C4semidirect
19. C2×#13093982C4semidirect
24. #117×D47C4semidirect
26. C2×C4⋊C4×D47C4semidirect
33. C2×C42×D47C4semidirect
35. #15688884C22semidirect
36. #15688883C22semidirect
37. #15688882C22semidirect
41. C47×#339C22semidirect
63. C2×#10625329C2×C4semidirect
69. M16×D47C2×C4semidirect
75. #13093983C2×C4semidirect
78. #13093982C2×C4semidirect
83. C2×C4⋊Dic47C2×C4semidirect
86. C4⋊C4×D47C2×C4semidirect
97. C2×C4×Dic47C2×C4semidirect
103. C42×D47C2×C4semidirect
108. C2×M16×C47C2×C4semidirect
113. #117×C47C2×C4semidirect
115. C2×C4⋊C4×C47C2×C4semidirect
120. C2×C42×C47C2×C4semidirect
187. M16×C47C22×C4semidirect
191. C4⋊C4×C47C22×C4semidirect
198. C42×C47C22×C4semidirect
203. C4⋊Dic47C22×C4semidirect
211. C4×Dic47C22×C4semidirect
214. #10625329C22×C4semidirect
305. C2×D47#339direct (N × H)
328. C2×#339D47direct (N × H)
332. C2×C47C2×#339semidirect
336. D47C2×#339direct (N × H)
369. #339C2×D47direct (N × H)
370. C47C22×#339semidirect
403. C2×M16C4×D47semidirect
421. #117C4×D47semidirect
427. C2×C4⋊C4C4×D47semidirect
449. C2×C42C4×D47semidirect
520. M16C2×C4×D47semidirect
530. C4⋊C4C2×C4×D47semidirect
547. C42C2×C4×D47semidirect
654. C2#339×D47direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D472
C2×#117×D472
C22×C42×D472
C2×#156888842
C2×#156888832
C2×#156888822
#339×D472
C2×C47×#3392
C22×#33947