Finite Group Databasebeta

← C2×#20251975 #27079936

Subgroups — C2×#20251975 #27079936

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic
2C22×#13093982C211yesmaximal, characteristic
3C2×#117×D47C211yesmaximal, characteristic
4#20251975C2116yesmaximal, direct product factor
5C2×#15689166C211yesmaximal, characteristic, complemented
6C2×#15689165C211yesmaximal, characteristic, complemented
7C2×#15689164C212yesmaximal, complemented
8C2×#15689163C211yesmaximal, characteristic, complemented
9C2×#15689162C212yesmaximal, complemented
10C2×#15689160C212yesmaximal, complemented
11C2×#15689158C212yesmaximal, complemented
12C2×C47×#428C211yesmaximal, characteristic, complemented
13C23×C4×D47C2211yescharacteristic
14C22×#10625329C2211yescharacteristic
15C22×#10625324C2212yes—
16C2×M16×D47C4116yescomplemented
17C2×M16×D47C2218yes—
18C22×C8×D47C2212yes—
19C2×#13093983C2211yescharacteristic
20C2×#13093982—21no—
21C2×#13093982—24no—
22C2×#13093982—21no—
23C2×#13093982C2211yescharacteristic
24C2×#13093982C2211yescharacteristic
25C2×#13093982C2212yes—
26C2×#13093982C2212yes—
27C2×#13093982C2218yes—
28C2×#13093981—21no—
29C2×#13093980—21no—
30#117×D47—24no—
31#117×D47C2218yes—
32C22×C4⋊Dic47C2211yescharacteristic
33C2×C4⋊C4×D47C2211yescharacteristic
34C2×C4⋊C4×D47C2211yescharacteristic
35C22×(C2×D47)⋊C4—21no—
36C2×C22⋊C4×D47—21no—
37C22×C4×Dic47—21no—
38C2×C42×D47—21no—
39#15689166C2218yescomplemented
40#15689165C2218yescomplemented
41#15689164C22116yescomplemented
42#15689163C2218yescomplemented
43#15689162C22116yescomplemented
44#15689160C22116yescomplemented
45#15689158C22116yescomplemented
46C2×#13093958C2212yescomplemented
47C2×#13093957C2212yescomplemented
48C2×#13093957C2212yescomplemented
49C2×#13093956C2212yescomplemented
50C2×#13093955C2212yescomplemented
51C2×#13093955C2212yescomplemented
52C22×M16×C47C2211yescharacteristic
53C2×#117×C47C2211yescharacteristic
54C22×C4⋊C4×C47C2211yescharacteristic
55C47×#428C2218yescomplemented
56C2×#107×C47C2212yescomplemented
57C2×#106×C47C2212yescomplemented
58C24×D47D411yescharacteristic
59C23×Dic47—21no—
60C23×Dic47D411yescharacteristic
61C22×C4×D47—21no—
62C22×C4×D47—21no—
63C22×C4×D47C2×C418yes—
64C22×C4×D47D411yescharacteristic
65C22×C4×D47D414yes—
66C22×C4×D47D411yescharacteristic
67C22×C4×D47Q818yes—
68C22×C4×D47C2311yescharacteristic
69C22×C4×D47C2314yes—
70C22×C4×D47C2311yescharacteristic
71C2×#10625329C2×C418yescomplemented
72C2×#10625329C2314yes—
73C2×#10625324C2×C4116yescomplemented
74C2×#10625324C2318yes—
75M16×D47C2×C4164yescomplemented
76C22×C47⋊C8C2312yes—
77C2×C8×D47C2×C4116yescomplemented
78C2×C8×D47C2318yes—
79#13093983—22no—
80#13093983C2314yes—
81#13093982—22no—
82#13093982—22no—
83#13093982—28no—
84#13093982—24no—
85#13093982—28no—
86#13093982—24no—
87#13093982C2314yes—
88#13093982C2314yes—
89#13093982C2318yes—
90#13093982C2318yes—
91#13093981—28no—
92#13093980—28no—
93C2×C4⋊Dic47—21no—
94C2×C4⋊Dic47—22no—
95C2×C4⋊Dic47C2311yescharacteristic
96C2×C4⋊Dic47C2311yescharacteristic
97C2×C4⋊Dic47C2312yes—
98C2×C4⋊Dic47C2314yes—
99C2×Dic47⋊C4—21no—
100C2×Dic47⋊C4—21no—
101C4⋊C4×D47—22no—
102C4⋊C4×D47—22no—
103C4⋊C4×D47C2314yes—
104C4⋊C4×D47C2314yes—
105C2×C22⋊Dic47—21no—
106C2×(C2×D47)⋊C4—21no—
107C2×(C2×D47)⋊C4—21no—
108C2×(C2×D47)⋊C4—22no—
109C2×(C2×D47)⋊C4—22no—
110C2×(C2×D47)⋊C4—28no—
111C22⋊C4×D47—28no—
112C2×C4×Dic47—21no—
113C2×C4×Dic47—21no—
114C2×C4×Dic47—21no—
115C2×C4×Dic47—22no—
116C2×C4×Dic47—22no—
117C2×C4×Dic47—28no—
118C42×D47—28no—
119#13093958C2318yescomplemented
120#13093957C2318yescomplemented
121#13093957C2318yescomplemented
122#13093956C2318yescomplemented
123#13093955C2318yescomplemented
124#13093955C2318yescomplemented
125C23×C4×C47—21no—
126C23×C4×C47C2311yescharacteristic
127C2×M16×C47C2×C418yescomplemented
128C2×M16×C47C2314yes—
129C22×C8×C47C2312yes—
130#117×C47—22no—
131#117×C47C2314yes—
132C2×C4⋊C4×C47—21no—
133C2×C4⋊C4×C47—22no—
134C2×C4⋊C4×C47C2312yes—
135C2×C4⋊C4×C47C2314yes—
136C2×C4⋊C4×C47C2311yescharacteristic
137C2×C4⋊C4×C47C2311yescharacteristic
138C2×C22⋊C4×C47—21no—
139C2×C42×C47—21no—
140#107×C47C2318yescomplemented
141#106×C47C2318yescomplemented
142C24×C47C2×D411yescharacteristic
143C23×D47—42no—
144C23×D47—42no—
145C23×D47C4⋊C418yes—
146C23×D47C2×D411yescharacteristic
147C23×D47C2×D411yescharacteristic
148C23×D47C2×D414yes—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—24no—
152C22×C4×C47—22no—
153C22×C4×C47—44no—
154C22×C4×C47C22×C414yes—
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D412yes—
157C22×C4×C47C2×Q814yes—
158C22×C4×C47C2411yescharacteristic
159C22×C4×C47C2412yes—
160C22×Dic47—24no—
161C22×Dic47—22no—
162C22×Dic47—21no—
163C22×Dic47—21no—
164C22×Dic47—44no—
165C22×Dic47C4⋊C418yes—
166C22×Dic47C2×D411yescharacteristic
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D414yes—
169C2×C4×D47—24no—
170C2×C4×D47—24no—
171C2×C4×D47—44no—
172C2×C4×D47—44no—
173C2×C4×D47C4⋊C418yes—
174C2×C4×D47C4⋊C418yes—
175C2×C4×D47C4⋊C4132yes—
176C2×C4×D47C22×C414yes—
177C2×C4×D47C22×C4116yes—
178C2×C4×D47C22×C414yes—
179C2×C4×D47C2×D414yes—
180C2×C4×D47C2×D412yes—
181C2×C4×D47C2×D414yes—
182C2×C4×D47C2×D412yes—
183C2×C4×D47C2×Q814yes—
184C2×C4×D47C2×Q814yes—
185C2×C4×D47C2×Q8116yes—
186C2×C4×D47C2412yes—
187C2×C4×D47C2412yes—
188M16×C47C22×C4116yescomplemented
189C2×C8×C47C22×C418yes—
190C2×C8×C47C2414yes—
191C4⋊C4×C47—24no—
192C4⋊C4×C47—22no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47C2412yes—
196C4⋊C4×C47C2414yes—
197C4⋊C4×C47C2412yes—
198C22⋊C4×C47—24no—
199C42×C47—24no—
200C22⋊Dic47—24no—
201(C2×D47)⋊C4—24no—
202(C2×D47)⋊C4—24no—
203(C2×D47)⋊C4—28no—
204(C2×D47)⋊C4—28no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—24no—
208C4⋊Dic47—22no—
209C4⋊Dic47C2412yes—
210C4⋊Dic47C2414yes—
211C4⋊Dic47C2412yes—
212Dic47⋊C4—24no—
213Dic47⋊C4—24no—
214C4×Dic47—24no—
215C4×Dic47—24no—
216C4×Dic47—24no—
217C4×Dic47—28no—
218C4×Dic47—28no—
219#10625329C22×C4116yescomplemented
220C2×C47⋊C8C22×C418yes—
221C2×C47⋊C8C2414yes—
222#10625324C22×C4132yescomplemented
223C8×D47C22×C4132yescomplemented
224C23×C47—22no—
225C23×C47—22no—
226C23×C47C2×C4⋊C414yes—
227C23×C47C22×D412yes—
228C23×C47C22×D411yescharacteristic
229C22×D47—22no—
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—22no—
233C22×D47—416no—
234C22×D47—44no—
235C22×D47—44no—
236C22×D47C2×C4⋊C414yes—
237C22×D47C2×C4⋊C414yes—
238C22×D47C2×C4⋊C4116yes—
239C22×D47C22×D412yes—
240C22×D47C22×D412yes—
241C2×C4×C47—24no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—48no—
245C2×C4×C47—42no—
246C2×C4×C47—42no—
247C2×C4×C47—44no—
248C2×C4×C47C2×C4⋊C418yes—
249C2×C4×C47C2×C4⋊C414yes—
250C2×C4×C47C23×C412yes—
251C2×C4×C47C23×C414yes—
252C2×C4×C47C22×D412yes—
253C2×C4×C47C22×D411yescharacteristic
254C2×C4×C47C22×Q814yes—
255C2×C4×C47C22×Q812yes—
256C2×C4×C47C2511yescharacteristic
257C2×Dic47—22no—
258C2×Dic47—22no—
259C2×Dic47—24no—
260C2×Dic47—48no—
261C2×Dic47—42no—
262C2×Dic47—42no—
263C2×Dic47—44no—
264C2×Dic47C2×C4⋊C4116yes—
265C2×Dic47C2×C4⋊C414yes—
266C2×Dic47C2×C4⋊C414yes—
267C2×Dic47C22×D412yes—
268C2×Dic47C22×D412yes—
269C4×D47—48no—
270C4×D47—48no—
271C4×D47C2×C4⋊C418yes—
272C4×D47C2×C4⋊C4116yes—
273C4×D47C2×C4⋊C4116yes—
274C4×D47C2×C4⋊C418yes—
275C4×D47C23×C414yes—
276C4×D47C23×C414yes—
277C4×D47C22×Q814yes—
278C4×D47C22×Q814yes—
279C8×C47C23×C418yes—
280C47⋊C8C23×C418yes—
281C2×#2911—471nomaximal, Sylow
282C22×C47—28no—
283C22×C47—22no—
284C22×C47—22no—
285C22×C47C22×C4⋊C414yes—
286C22×C47C22×C4⋊C412yes—
287C22×C47#57512yes—
288C22×C47#57512yes—
289C22×C47C23×D411yescharacteristic
290C2×D47—28no—
291C2×D47—28no—
292C2×D47—22no—
293C2×D47—22no—
294C2×D47—22no—
295C2×D47—22no—
296C2×D47—416no—
297C2×D47C22×C4⋊C414yes—
298C2×D47C22×C4⋊C414yes—
299C4×C47—42no—
300C4×C47—42no—
301C4×C47—44no—
302C4×C47C22×C4⋊C412yes—
303C4×C47C22×C4⋊C414yes—
304C4×C47C24×C411yescharacteristic
305C4×C47C23×Q811yescharacteristic
306Dic47—42no—
307Dic47—42no—
308Dic47—44no—
309Dic47C22×C4⋊C414yes—
310Dic47C22×C4⋊C414yes—
311C23×M16—471no—
312C22×#117—471no—
313C22×#117—471no—
314#2911—4716no—
315C2×#428—472no—
316C2×#428—472no—
317C2×#428—471no—
318C2×#428—471no—
319C2×#428—471no—
320C2×#428D4711yescharacteristic, complemented
321C2×#427—472no—
322C2×#427—472no—
323C2×C47—24no—
324C2×C47#291114yescomplemented
325C2×C47C23×C4⋊C411yescharacteristic
326C2×C47C2×#57511yescharacteristic
327C2×C47C2×#57511yescharacteristic
328D47—24no—
329D47—24no—
330C24×C4—471no—
331C22×M16—471no—
332C22×M16—4716no—
333C22×M16—478no—
334C22×M16—472no—
335C22×M16C2×D4711yescharacteristic
336C23×C8—472no—
337C2×#117—471no—
338C2×#117—478no—
339C2×#117—471no—
340C2×#117—471no—
341C2×#117—472no—
342C2×#117—472no—
343C2×#117—478no—
344C2×#117—941no—
345C2×#117—941no—
346C2×#117—944no—
347C2×#117—941no—
348C2×#117—941no—
349C2×#117—944no—
350C2×#117C2×D4711yescharacteristic
351C22×C4⋊C4—471no—
352C22×C4⋊C4—471no—
353C22×C4⋊C4—471no—
354C22×C4⋊C4C2×D4711yescharacteristic
355C22×C22⋊C4—941no—
356C22×C22⋊C4—941no—
357C22×C42—941no—
358C22×C42—941no—
359#428—478no—
360#428—478no—
361#428—478no—
362#428—4716no—
363#428—4716no—
364#428C2×D4718yescomplemented
365#427—4716no—
366#427—4716no—
367C2×#107—472no—
368C2×#107—472no—
369C2×#107—472no—
370C2×#107C2×D4712yescomplemented
371C2×#106—472no—
372C2×#106—472no—
373C2×#106—472no—
374C2×#106C2×D4712yescomplemented
375C47C2×#291111yescharacteristic, complemented, Sylow
376C25—471no—
377C23×C4—21no—
378C23×C4—471no—
379C23×C4—478no—
380C23×C4—474no—
381C23×C4—471no—
382C23×C4—471no—
383C23×C4—478no—
384C23×C4—471no—
385C23×C4—471no—
386C23×C4—474no—
387C23×C4—941no—
388C23×C4—941no—
389C23×C4—941no—
390C23×C4C22×D4711yescharacteristic
391C2×M16—478no—
392C2×M16—474no—
393C2×M16—4764no—
394C2×M16—4716no—
395C2×M16—478no—
396C2×M16C4×D4718yescomplemented
397C2×M16C22×D4714yes—
398C22×C8—472no—
399C22×C8—4716no—
400C22×C8—478no—
401C22×C8C22×D4712yes—
402#117—22no—
403#117—474no—
404#117—474no—
405#117—478no—
406#117—474no—
407#117—478no—
408#117—948no—
409#117—948no—
410#117—948no—
411#117—944no—
412#117—944no—
413#117—948no—
414#117—942no—
415#117—942no—
416#117—942no—
417#117C22×D4714yes—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—472no—
421C2×C4⋊C4—471no—
422C2×C4⋊C4—471no—
423C2×C4⋊C4—474no—
424C2×C4⋊C4—474no—
425C2×C4⋊C4—474no—
426C2×C4⋊C4—942no—
427C2×C4⋊C4—942no—
428C2×C4⋊C4—941no—
429C2×C4⋊C4—941no—
430C2×C4⋊C4—942no—
431C2×C4⋊C4—941no—
432C2×C4⋊C4C22×D4711yescharacteristic
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C4⋊C4C22×D4712yes—
435C2×C4⋊C4C22×D4714yes—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—948no—
438C2×C22⋊C4—948no—
439C2×C22⋊C4—941no—
440C2×C22⋊C4—941no—
441C2×C22⋊C4—942no—
442C2×C22⋊C4—942no—
443C2×C22⋊C4—941no—
444C2×C42—21no—
445C2×C42—948no—
446C2×C42—948no—
447C2×C42—941no—
448C2×C42—941no—
449C2×C42—942no—
450C2×C42—942no—
451C2×C42—941no—
452#107—478no—
453#107—478no—
454#107—478no—
455#107C22×D4718yescomplemented
456#106—478no—
457#106—478no—
458#106—478no—
459#106C22×D4718yescomplemented
460C24—471no—
461C24—471no—
462C24—478no—
463C24—474no—
464C24—1882no—
465C24—1882no—
466C24D4×D4711yescharacteristic
467C22×C4—24no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—44no—
472C22×C4—478no—
473C22×C4—474no—
474C22×C4—471no—
475C22×C4—471no—
476C22×C4—478no—
477C22×C4—478no—
478C22×C4—4732no—
479C22×C4—474no—
480C22×C4—4716no—
481C22×C4—474no—
482C22×C4—474no—
483C22×C4—472no—
484C22×C4—472no—
485C22×C4—474no—
486C22×C4—474no—
487C22×C4—474no—
488C22×C4—4716no—
489C22×C4—472no—
490C22×C4—472no—
491C22×C4—944no—
492C22×C4—944no—
493C22×C4—944no—
494C22×C4—941no—
495C22×C4—942no—
496C22×C4—941no—
497C22×C4—1884no—
498C22×C4—1884no—
499C22×C4—1884no—
500C22×C4C2×C4×D4714yes—
501C22×C4D4×D4712yes—
502C22×C4D4×D4711yescharacteristic
503C22×C4Q8×D4714yes—
504C22×C4C23×D4712yes—
505C22×C4C23×D4711yescharacteristic
506M16—4716no—
507M16—4732no—
508M16C2×C4×D47116yescomplemented
509C2×C8—478no—
510C2×C8—474no—
511C2×C8—4732no—
512C2×C8C2×C4×D4718yes—
513C2×C8C23×D4714yes—
514C4⋊C4—24no—
515C4⋊C4—22no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—472no—
519C4⋊C4—474no—
520C4⋊C4—472no—
521C4⋊C4—944no—
522C4⋊C4—944no—
523C4⋊C4—944no—
524C4⋊C4—941no—
525C4⋊C4—941no—
526C4⋊C4—942no—
527C4⋊C4C23×D4712yes—
528C4⋊C4C23×D4714yes—
529C4⋊C4C23×D4712yes—
530C22⋊C4—24no—
531C22⋊C4—944no—
532C22⋊C4—944no—
533C22⋊C4—948no—
534C22⋊C4—948no—
535C22⋊C4—944no—
536C42—24no—
537C42—944no—
538C42—944no—
539C42—948no—
540C42—948no—
541C42—944no—
542C23—22no—
543C23—22no—
544C23—474no—
545C23—474no—
546C23—472no—
547C23—472no—
548C23—4716no—
549C23—942no—
550C23—942no—
551C23—942no—
552C23—942no—
553C23—18816no—
554C23—1884no—
555C23—1884no—
556C23C4⋊C4×D4714yes—
557C23C2×D4×D4712yes—
558C23C2×D4×D4711yescharacteristic
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—48no—
563C2×C4—44no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—4716no—
567C2×C4—474no—
568C2×C4—474no—
569C2×C4—472no—
570C2×C4—472no—
571C2×C4—478no—
572C2×C4—4716no—
573C2×C4—478no—
574C2×C4—4716no—
575C2×C4—474no—
576C2×C4—474no—
577C2×C4—474no—
578C2×C4—474no—
579C2×C4—942no—
580C2×C4—942no—
581C2×C4—944no—
582C2×C4—1888no—
583C2×C4—1888no—
584C2×C4—1888no—
585C2×C4—1882no—
586C2×C4—1882no—
587C2×C4—1884no—
588C2×C4C4⋊C4×D4718yes—
589C2×C4C4⋊C4×D4714yes—
590C2×C4C22×C4×D4712yes—
591C2×C4C22×C4×D4714yes—
592C2×C4C2×D4×D4712yes—
593C2×C4C2×D4×D4711yescharacteristic
594C2×C4C2×Q8×D4714yes—
595C2×C4C2×Q8×D4712yes—
596C2×C4C24×D4711yescharacteristic
597C8—478no—
598C8C22×C4×D4718yes—
599C22—28no—
600C22—22no—
601C22—22no—
602C22—474no—
603C22—474no—
604C22—948no—
605C22—948no—
606C22—942no—
607C22—942no—
608C22—942no—
609C22—942no—
610C22—18816no—
611C22C2×C4⋊C4×D4714yes—
612C22C2×C4⋊C4×D4712yes—
613C22#1568991912yes—
614C22#1568992212yes—
615C22C22×D4×D4711yescharacteristic
616C4—44no—
617C4—42no—
618C4—42no—
619C4—474no—
620C4—474no—
621C4—1882no—
622C4—1882no—
623C4—1884no—
624C4C2×C4⋊C4×D4712yes—
625C4C2×C4⋊C4×D4714yes—
626C4C23×C4×D4711yescharacteristic
627C4C22×Q8×D4711yescharacteristic
628C2—24no—
629C2—944no—
630C2—944no—
631C2#2025197514yesdirect product factor
632C2C22×C4⋊C4×D4711yescharacteristic
633C2C2×#1568991911yescharacteristic
634C2C2×#1568992211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC4×C47C24×C4
FrattiniC2×C4C24×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC24×D47D4
cosocleC2×C4×C47C25
hypercenterC2×#428D47
hypocenterC47C2×#2911
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #20251975C2direct (N × H)
5. C2×#15689166C2semidirect
6. C2×#15689165C2semidirect
7. C2×#15689164C2semidirect
8. C2×#15689163C2semidirect
9. C2×#15689162C2semidirect
10. C2×#15689160C2semidirect
11. C2×#15689158C2semidirect
12. C2×C47×#428C2semidirect
16. C2×M16×D47C4semidirect
39. #15689166C22semidirect
40. #15689165C22semidirect
41. #15689164C22semidirect
42. #15689163C22semidirect
43. #15689162C22semidirect
44. #15689160C22semidirect
45. #15689158C22semidirect
46. C2×#13093958C22semidirect
47. C2×#13093957C22semidirect
48. C2×#13093957C22semidirect
49. C2×#13093956C22semidirect
50. C2×#13093955C22semidirect
51. C2×#13093955C22semidirect
55. C47×#428C22semidirect
56. C2×#107×C47C22semidirect
57. C2×#106×C47C22semidirect
71. C2×#10625329C2×C4semidirect
73. C2×#10625324C2×C4semidirect
75. M16×D47C2×C4semidirect
77. C2×C8×D47C2×C4semidirect
119. #13093958C23semidirect
120. #13093957C23semidirect
121. #13093957C23semidirect
122. #13093956C23semidirect
123. #13093955C23semidirect
124. #13093955C23semidirect
127. C2×M16×C47C2×C4semidirect
140. #107×C47C23semidirect
141. #106×C47C23semidirect
188. M16×C47C22×C4semidirect
219. #10625329C22×C4semidirect
222. #10625324C22×C4semidirect
223. C8×D47C22×C4semidirect
320. C2×#428D47semidirect
324. C2×C47#2911semidirect
364. #428C2×D47semidirect
370. C2×#107C2×D47semidirect
374. C2×#106C2×D47semidirect
375. C47C2×#2911semidirect
396. C2×M16C4×D47semidirect
455. #107C22×D47semidirect
459. #106C22×D47semidirect
508. M16C2×C4×D47semidirect
631. C2#20251975direct (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×#130939822
C2×#117×D472
#202519752
C2×#156891662
C2×#156891652
C2×#156891642
C2×#156891632
C2×#156891622
C2×#156891602
C2×#156891582
C2×C47×#4282
C2×#291147