Finite Group Databasebeta

← C2×#20243096 #26213663

Subgroups — C2×#20243096 #26213663

Order 12032.

2270 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic
2C22×#13093981C211yesmaximal, characteristic
3C2×#117×D47C211yesmaximal, characteristic
4#20243096C218yesmaximal, direct product factor
5C2×#15688884C211yesmaximal, characteristic, complemented
6C2×#15688883C211yesmaximal, characteristic, complemented
7C2×#15688882C211yesmaximal, characteristic, complemented
8C2×C47×#339C211yesmaximal, characteristic, complemented
9C23×C4×D47C2211yescharacteristic
10C22×#10625329C2211yescharacteristic
11C22×#10625324—21no—
12C2×M16×D47—24no—
13C2×M16×D47—22no—
14C2×M16×D47C418yescomplemented
15C2×M16×D47C2214yes—
16C22×C8×D47—21no—
17C2×#13093983C2211yescharacteristic
18C2×#13093982C412yescomplemented
19C2×#13093981—21no—
20C2×#13093981—24no—
21C2×#13093981—22no—
22C2×#13093981C418yescomplemented
23C2×#13093981C2214yes—
24C2×#13093980—21no—
25#117×D47—22no—
26#117×D47—22no—
27#117×D47C414yescomplemented
28#117×D47C2214yes—
29C22×Dic47⋊C4—21no—
30C2×C4⋊C4×D47C412yescomplemented
31C22×(C2×D47)⋊C4—21no—
32C2×C22⋊C4×D47—21no—
33C22×C4×Dic47C2211yescharacteristic
34C2×C42×D47—21no—
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—22no—
46C22×C4×D47C2×C414yes—
47C22×C4×D47C2×C411yescharacteristic
48C22×C4×D47C2×C412yes—
49C22×C4×D47C2×C414yes—
50C22×C4×D47C2×C411yescharacteristic
51C22×C4×D47D412yes—
52C22×C4×D47D411yescharacteristic
53C22×C4×D47D412yes—
54C22×C4×D47D411yescharacteristic
55C22×C4×D47D414yes—
56C22×C4×D47Q814yes—
57C22×C4×D47C2312yes—
58C2×#10625329—22no—
59C2×#10625329—21no—
60C2×#10625329C2×C414yescomplemented
61C2×#10625329C2312yes—
62C2×#10625324—28no—
63C2×#10625324—24no—
64M16×D47—216no—
65M16×D47—28no—
66M16×D47C2×C4116yescomplemented
67C22×C47⋊C8—21no—
68C2×C8×D47—28no—
69C2×C8×D47—24no—
70#13093983—21no—
71#13093983—21no—
72#13093983C2×C412yes—
73#13093983C2312yes—
74#13093982—24no—
75#13093982C2×C418yescomplemented
76#13093981—24no—
77#13093981—216no—
78#13093981—24no—
79#13093981—28no—
80#13093981C2×C4116yescomplemented
81#13093980—24no—
82#13093980—24no—
83C2×C4⋊Dic47C2×C412yes—
84C2×Dic47⋊C4—22no—
85C2×Dic47⋊C4—28no—
86C2×Dic47⋊C4—24no—
87C4⋊C4×D47—24no—
88C4⋊C4×D47C2×C418yescomplemented
89C2×C22⋊Dic47—21no—
90C2×(C2×D47)⋊C4—22no—
91C2×(C2×D47)⋊C4—28no—
92C2×(C2×D47)⋊C4—24no—
93C22⋊C4×D47—24no—
94C22⋊C4×D47—24no—
95C2×C4×Dic47—21no—
96C2×C4×Dic47—21no—
97C2×C4×Dic47—22no—
98C2×C4×Dic47—22no—
99C2×C4×Dic47C2×C414yescomplemented
100C2×C4×Dic47C2312yes—
101C42×D47—24no—
102C42×D47—24no—
103C23×C4×C47—21no—
104C23×C4×C47C2311yescharacteristic
105C2×M16×C47—22no—
106C2×M16×C47—21no—
107C2×M16×C47C2×C414yescomplemented
108C2×M16×C47C2312yes—
109C22×C8×C47—21no—
110#117×C47—21no—
111#117×C47—21no—
112#117×C47C2×C412yes—
113#117×C47C2312yes—
114C2×C4⋊C4×C47C2×C412yes—
115C2×C22⋊C4×C47—21no—
116C2×C42×C47—21no—
117C2×C42×C47—22no—
118C2×C42×C47—21no—
119C2×C42×C47C2×C414yescomplemented
120C2×C42×C47C2312yes—
121C24×C47C2×D411yescharacteristic
122C23×D47—44no—
123C23×D47C22⋊C411yescharacteristic
124C23×D47C22⋊C411yescharacteristic
125C23×D47C22⋊C412yes—
126C23×D47C22⋊C414yes—
127C23×D47C4⋊C414yes—
128C23×D47C2×D412yes—
129C22×C4×C47—24no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—44no—
133C22×C4×C47C22×C412yes—
134C22×C4×C47C22×C412yes—
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C2×D411yescharacteristic
138C22×C4×C47C2×D412yes—
139C22×C4×C47C2×D411yescharacteristic
140C22×C4×C47C2×D411yescharacteristic
141C22×C4×C47C2×Q812yes—
142C22×C4×C47C2411yescharacteristic
143C22×Dic47—22no—
144C22×Dic47—24no—
145C22×Dic47—22no—
146C22×Dic47—44no—
147C22×Dic47C22⋊C411yescharacteristic
148C22×Dic47C22⋊C414yes—
149C22×Dic47C22⋊C411yescharacteristic
150C22×Dic47C22⋊C412yes—
151C22×Dic47C4⋊C414yes—
152C22×Dic47C2×D412yes—
153C2×C4×D47—28no—
154C2×C4×D47—48no—
155C2×C4×D47C4214yes—
156C2×C4×D47C4214yes—
157C2×C4×D47C4218yes—
158C2×C4×D47C22⋊C412yes—
159C2×C4×D47C22⋊C412yes—
160C2×C4×D47C22⋊C412yes—
161C2×C4×D47C22⋊C418yes—
162C2×C4×D47C22⋊C412yes—
163C2×C4×D47C22⋊C414yes—
164C2×C4×D47C22⋊C418yes—
165C2×C4×D47C22⋊C414yes—
166C2×C4×D47C4⋊C418yes—
167C2×C4×D47C4⋊C414yes—
168C2×C4×D47C4⋊C414yes—
169C2×C4×D47C4⋊C414yes—
170C2×C4×D47C4⋊C414yes—
171C2×C4×D47C4⋊C418yes—
172C2×C4×D47C4⋊C418yes—
173C2×C4×D47C22×C414yes—
174C2×C4×D47C22×C412yes—
175C2×C4×D47C22×C414yes—
176C2×C4×D47C22×C412yes—
177C2×C4×D47C2×D412yes—
178C2×C4×D47C2×D412yes—
179C2×C4×D47C2×D414yes—
180C2×C4×D47C2×Q814yes—
181M16×C47—24no—
182M16×C47—22no—
183M16×C47C22×C414yescomplemented
184C2×C8×C47—24no—
185C2×C8×C47—22no—
186C4⋊C4×C47—22no—
187C4⋊C4×C47C22×C414yes—
188C22⋊C4×C47—22no—
189C22⋊C4×C47—22no—
190C42×C47—24no—
191C42×C47—22no—
192C42×C47—22no—
193C42×C47—22no—
194C42×C47C22×C414yescomplemented
195C22⋊Dic47—22no—
196C22⋊Dic47—22no—
197(C2×D47)⋊C4—28no—
198(C2×D47)⋊C4—216no—
199C4⋊Dic47—22no—
200C4⋊Dic47C22×C414yes—
201Dic47⋊C4—28no—
202Dic47⋊C4—216no—
203C4×Dic47—22no—
204C4×Dic47—24no—
205C4×Dic47—22no—
206C4×Dic47—22no—
207C4×Dic47—28no—
208C4×Dic47C22×C414yescomplemented
209#10625329—24no—
210#10625329—22no—
211#10625329C22×C414yescomplemented
212C2×C47⋊C8—24no—
213C2×C47⋊C8—22no—
214#10625324—216no—
215C8×D47—216no—
216C23×C47—24no—
217C23×C47C2×C22⋊C411yescharacteristic
218C23×C47C2×C22⋊C412yes—
219C23×C47C2×C22⋊C411yescharacteristic
220C23×C47C2×C4⋊C412yes—
221C23×C47C22×D411yescharacteristic
222C22×D47—24no—
223C22×D47—24no—
224C22×D47—44no—
225C22×D47—48no—
226C22×D47—48no—
227C22×D47—44no—
228C22×D47#9514yes—
229C22×D47#9514yes—
230C22×D47#9518yes—
231C22×D47C2×C22⋊C412yes—
232C22×D47C2×C22⋊C412yes—
233C22×D47C2×C22⋊C414yes—
234C22×D47C2×C4⋊C414yes—
235C2×C4×C47—24no—
236C2×C4×C47—24no—
237C2×C4×C47—44no—
238C2×C4×C47—48no—
239C2×C4×C47—44no—
240C2×C4×C47C2×C4212yes—
241C2×C4×C47C2×C4212yes—
242C2×C4×C47C2×C22⋊C412yes—
243C2×C4×C47C2×C22⋊C412yes—
244C2×C4×C47C2×C22⋊C412yes—
245C2×C4×C47C2×C22⋊C411yescharacteristic
246C2×C4×C47C2×C22⋊C411yescharacteristic
247C2×C4×C47C2×C4⋊C412yes—
248C2×C4×C47C2×C4⋊C412yes—
249C2×C4×C47C2×C4⋊C412yes—
250C2×C4×C47C2×C4⋊C412yes—
251C2×C4×C47C2×C4⋊C412yes—
252C2×C4×C47C23×C411yescharacteristic
253C2×C4×C47C23×C411yescharacteristic
254C2×C4×C47C23×C411yescharacteristic
255C2×C4×C47C22×D411yescharacteristic
256C2×C4×C47C22×D411yescharacteristic
257C2×C4×C47C22×Q811yescharacteristic
258C2×Dic47—24no—
259C2×Dic47—24no—
260C2×Dic47—44no—
261C2×Dic47—48no—
262C2×Dic47—44no—
263C2×Dic47#9518yes—
264C2×Dic47#9514yes—
265C2×Dic47#9514yes—
266C2×Dic47C2×C22⋊C412yes—
267C2×Dic47C2×C22⋊C414yes—
268C2×Dic47C2×C22⋊C412yes—
269C2×Dic47C2×C4⋊C414yes—
270C4×D47—416no—
271C4×D47#9518yes—
272C4×D47#9518yes—
273C4×D47#9518yes—
274C4×D47#9518yes—
275C4×D47C2×C4214yes—
276C4×D47C2×C4214yes—
277C4×D47C2×C22⋊C414yes—
278C4×D47C2×C22⋊C414yes—
279C4×D47C2×C4⋊C414yes—
280C4×D47C2×C4⋊C414yes—
281C4×D47C2×C4⋊C414yes—
282C4×D47C2×C4⋊C414yes—
283C8×C47—24no—
284C47⋊C8—24no—
285C2×#1733—471nomaximal, Sylow
286C22×C47—22no—
287C22×C47—22no—
288C22×C47—24no—
289C22×C47—24no—
290C22×C47C2×#9512yes—
291C22×C47C2×#9512yes—
292C22×C47#42114yes—
293C22×C47C22×C22⋊C411yescharacteristic
294C22×C47C22×C22⋊C411yescharacteristic
295C22×C47C22×C4⋊C411yescharacteristic
296C2×D47—24no—
297C2×D47—24no—
298C2×D47—28no—
299C2×D47—28no—
300C2×D47—48no—
301C2×D47—44no—
302C2×D47—44no—
303C2×D47C2×#9514yes—
304C2×D47C2×#9514yes—
305C4×C47—44no—
306C4×C47—44no—
307C4×C47C2×#9512yes—
308C4×C47C2×#9512yes—
309C4×C47C22×C4211yescharacteristic
310C4×C47C22×C22⋊C411yescharacteristic
311C4×C47C22×C4⋊C411yescharacteristic
312C4×C47C22×C4⋊C411yescharacteristic
313Dic47—44no—
314Dic47—44no—
315Dic47C2×#9514yes—
316Dic47C2×#9514yes—
317C23×M16—471no—
318C22×#117—471no—
319C22×#117—471no—
320#1733—478no—
321C2×#339—471no—
322C2×#339—471no—
323C2×#339—471no—
324C2×#339D4711yescharacteristic, complemented
325C2×C47—21no—
326C2×C47—21no—
327C2×C47—22no—
328C2×C47#173314yescomplemented
329C2×C47C22×#9511yescharacteristic
330C2×C47C2×#42112yes—
331D47—24no—
332D47—24no—
333C24×C4—471no—
334C22×M16—471no—
335C22×M16—478no—
336C22×M16—474no—
337C22×M16—941no—
338C22×M16—944no—
339C22×M16—942no—
340C22×M16C2×D4711yescharacteristic
341C23×C8—941no—
342C2×#117—478no—
343C2×#117—474no—
344C2×#117—471no—
345C2×#117—474no—
346C2×#117—474no—
347C2×#117—472no—
348C2×#117—942no—
349C2×#117—944no—
350C2×#117—941no—
351C2×#117—941no—
352C2×#117—942no—
353C2×#117—942no—
354C2×#117C2×D4711yescharacteristic
355C22×C4⋊C4—472no—
356C22×C4⋊C4—941no—
357C22×C22⋊C4—941no—
358C22×C22⋊C4—941no—
359C22×C42—471no—
360C22×C42—941no—
361C22×C42C2×D4711yescharacteristic
362#339—474no—
363#339—474no—
364#339—474no—
365#339C2×D4714yescomplemented
366C47C2×#173311yescharacteristic, complemented, Sylow
367C25—471no—
368C23×C4—21no—
369C23×C4—471no—
370C23×C4—471no—
371C23×C4—471no—
372C23×C4—474no—
373C23×C4—472no—
374C23×C4—474no—
375C23×C4—472no—
376C23×C4—474no—
377C23×C4—472no—
378C23×C4—471no—
379C23×C4—471no—
380C23×C4—474no—
381C23×C4—472no—
382C23×C4—942no—
383C23×C4—941no—
384C23×C4C22×D4711yescharacteristic
385C2×M16—22no—
386C2×M16—21no—
387C2×M16—474no—
388C2×M16—472no—
389C2×M16—4716no—
390C2×M16—948no—
391C2×M16—944no—
392C2×M16—9416no—
393C2×M16—948no—
394C2×M16—942no—
395C2×M16—941no—
396C2×M16C4×D4714yescomplemented
397C2×M16C22×D4712yes—
398C22×C8—21no—
399C22×C8—948no—
400C22×C8—944no—
401C22×C8—941no—
402#117—21no—
403#117—21no—
404#117—4716no—
405#117—472no—
406#117—472no—
407#117—478no—
408#117—9416no—
409#117—944no—
410#117—948no—
411#117—944no—
412#117—944no—
413#117—944no—
414#117—944no—
415#117—941no—
416#117—941no—
417#117C4×D4712yes—
418#117C22×D4712yes—
419C2×C4⋊C4—472no—
420C2×C4⋊C4—478no—
421C2×C4⋊C4—944no—
422C2×C4⋊C4—942no—
423C2×C4⋊C4—948no—
424C2×C4⋊C4—944no—
425C2×C4⋊C4C4×D4712yes—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—944no—
428C2×C22⋊C4—944no—
429C2×C22⋊C4—942no—
430C2×C22⋊C4—948no—
431C2×C22⋊C4—944no—
432C2×C22⋊C4—941no—
433C2×C42—21no—
434C2×C42—22no—
435C2×C42—21no—
436C2×C42—474no—
437C2×C42—472no—
438C2×C42—944no—
439C2×C42—944no—
440C2×C42—942no—
441C2×C42—941no—
442C2×C42—942no—
443C2×C42—941no—
444C2×C42C4×D4714yescomplemented
445C2×C42C22×D4712yes—
446C24—471no—
447C24—471no—
448C24—474no—
449C24—472no—
450C24—474no—
451C24—472no—
452C24—1884no—
453C24D4×D4711yescharacteristic
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—22no—
457C22×C4—44no—
458C22×C4—471no—
459C22×C4—474no—
460C22×C4—471no—
461C22×C4—472no—
462C22×C4—474no—
463C22×C4—472no—
464C22×C4—474no—
465C22×C4—474no—
466C22×C4—478no—
467C22×C4—472no—
468C22×C4—472no—
469C22×C4—472no—
470C22×C4—478no—
471C22×C4—472no—
472C22×C4—474no—
473C22×C4—478no—
474C22×C4—474no—
475C22×C4—474no—
476C22×C4—474no—
477C22×C4—478no—
478C22×C4—478no—
479C22×C4—474no—
480C22×C4—474no—
481C22×C4—478no—
482C22×C4—472no—
483C22×C4—472no—
484C22×C4—474no—
485C22×C4—474no—
486C22×C4—472no—
487C22×C4—472no—
488C22×C4—474no—
489C22×C4—474no—
490C22×C4—948no—
491C22×C4—944no—
492C22×C4—942no—
493C22×C4—942no—
494C22×C4—1888no—
495C22×C4—1884no—
496C22×C4C2×C4×D4712yes—
497C22×C4C2×C4×D4712yes—
498C22×C4C2×C4×D4711yescharacteristic
499C22×C4C2×C4×D4711yescharacteristic
500C22×C4D4×D4711yescharacteristic
501C22×C4D4×D4712yes—
502C22×C4D4×D4711yescharacteristic
503C22×C4D4×D4711yescharacteristic
504C22×C4Q8×D4712yes—
505C22×C4C23×D4711yescharacteristic
506M16—24no—
507M16—22no—
508M16—474no—
509M16—9416no—
510M16—944no—
511M16—942no—
512M16C2×C4×D4714yescomplemented
513C2×C8—24no—
514C2×C8—22no—
515C2×C8—9416no—
516C2×C8—944no—
517C2×C8—942no—
518C4⋊C4—22no—
519C4⋊C4—474no—
520C4⋊C4—948no—
521C4⋊C4—9416no—
522C4⋊C4—942no—
523C4⋊C4C2×C4×D4714yes—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—9416no—
527C22⋊C4—948no—
528C22⋊C4—942no—
529C22⋊C4—942no—
530C42—24no—
531C42—22no—
532C42—22no—
533C42—22no—
534C42—474no—
535C42—948no—
536C42—944no—
537C42—942no—
538C42—942no—
539C42—942no—
540C42C2×C4×D4714yescomplemented
541C23—24no—
542C23—474no—
543C23—474no—
544C23—472no—
545C23—472no—
546C23—478no—
547C23—474no—
548C23—474no—
549C23—944no—
550C23—944no—
551C23—1884no—
552C23—1884no—
553C23—1888no—
554C23—1888no—
555C23C22⋊C4×D4711yescharacteristic
556C23C22⋊C4×D4712yes—
557C23C22⋊C4×D4711yescharacteristic
558C23C4⋊C4×D4712yes—
559C23C2×D4×D4711yescharacteristic
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—44no—
563C2×C4—48no—
564C2×C4—44no—
565C2×C4—478no—
566C2×C4—474no—
567C2×C4—474no—
568C2×C4—472no—
569C2×C4—474no—
570C2×C4—472no—
571C2×C4—474no—
572C2×C4—478no—
573C2×C4—478no—
574C2×C4—478no—
575C2×C4—478no—
576C2×C4—474no—
577C2×C4—474no—
578C2×C4—474no—
579C2×C4—474no—
580C2×C4—474no—
581C2×C4—474no—
582C2×C4—474no—
583C2×C4—474no—
584C2×C4—944no—
585C2×C4—944no—
586C2×C4—18816no—
587C2×C4—1884no—
588C2×C4—1888no—
589C2×C4—1884no—
590C2×C4C42×D4712yes—
591C2×C4C42×D4712yes—
592C2×C4C22⋊C4×D4712yes—
593C2×C4C22⋊C4×D4711yescharacteristic
594C2×C4C22⋊C4×D4711yescharacteristic
595C2×C4C22⋊C4×D4712yes—
596C2×C4C22⋊C4×D4712yes—
597C2×C4C4⋊C4×D4712yes—
598C2×C4C4⋊C4×D4712yes—
599C2×C4C4⋊C4×D4712yes—
600C2×C4C4⋊C4×D4712yes—
601C2×C4C4⋊C4×D4712yes—
602C2×C4C22×C4×D4711yescharacteristic
603C2×C4C22×C4×D4711yescharacteristic
604C2×C4C22×C4×D4711yescharacteristic
605C2×C4C2×D4×D4711yescharacteristic
606C2×C4C2×D4×D4711yescharacteristic
607C2×C4C2×Q8×D4711yescharacteristic
608C8—24no—
609C8—944no—
610C22—22no—
611C22—22no—
612C22—24no—
613C22—24no—
614C22—474no—
615C22—474no—
616C22—944no—
617C22—944no—
618C22—948no—
619C22—948no—
620C22—1884no—
621C22—1888no—
622C22—1884no—
623C22#95×D4712yes—
624C22#95×D4712yes—
625C22#1568913814yes—
626C22C2×C22⋊C4×D4711yescharacteristic
627C22C2×C22⋊C4×D4711yescharacteristic
628C22C2×C4⋊C4×D4711yescharacteristic
629C4—44no—
630C4—44no—
631C4—474no—
632C4—474no—
633C4—1884no—
634C4—1884no—
635C4#95×D4712yes—
636C4#95×D4712yes—
637C4C2×C42×D4711yescharacteristic
638C4C2×C22⋊C4×D4711yescharacteristic
639C4C2×C4⋊C4×D4711yescharacteristic
640C4C2×C4⋊C4×D4711yescharacteristic
641C2—21no—
642C2—22no—
643C2—21no—
644C2—944no—
645C2—944no—
646C2#2024309614yesdirect product factor
647C2C2×#95×D4711yescharacteristic
648C2C2×#1568913812yes—
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
hypocenterC47C2×#1733
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. #20243096C2direct (N × H)
5. C2×#15688884C2semidirect
6. C2×#15688883C2semidirect
7. C2×#15688882C2semidirect
8. C2×C47×#339C2semidirect
14. C2×M16×D47C4semidirect
18. C2×#13093982C4semidirect
22. C2×#13093981C4semidirect
27. #117×D47C4semidirect
30. C2×C4⋊C4×D47C4semidirect
35. #15688884C22semidirect
36. #15688883C22semidirect
37. #15688882C22semidirect
41. C47×#339C22semidirect
60. C2×#10625329C2×C4semidirect
66. M16×D47C2×C4semidirect
75. #13093982C2×C4semidirect
80. #13093981C2×C4semidirect
88. C4⋊C4×D47C2×C4semidirect
99. C2×C4×Dic47C2×C4semidirect
107. C2×M16×C47C2×C4semidirect
119. C2×C42×C47C2×C4semidirect
183. M16×C47C22×C4semidirect
194. C42×C47C22×C4semidirect
208. C4×Dic47C22×C4semidirect
211. #10625329C22×C4semidirect
324. C2×#339D47semidirect
328. C2×C47#1733semidirect
365. #339C2×D47semidirect
366. C47C2×#1733semidirect
396. C2×M16C4×D47semidirect
444. C2×C42C4×D47semidirect
512. M16C2×C4×D47semidirect
540. C42C2×C4×D47semidirect
646. C2#20243096direct (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
C22×#130939812
C2×#117×D472
#202430962
C2×#156888842
C2×#156888832
C2×#156888822
C2×C47×#3392
C2×#173347