Finite Group Databasebeta

← C4×#102×D47 #26214014

Subgroups — C4×#102×D47 #26214014

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D47C211yesmaximal, characteristic
2C2×#102×D47C212yesmaximal
3C2×C4×C8×D47C211yesmaximal, characteristic, complemented
4C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
5C4×#13093944C211yesmaximal, characteristic, complemented
6#102×Dic47C212yesmaximal, complemented
7C4×#13093946C211yesmaximal, characteristic, complemented
8C4×#13093945C211yesmaximal, characteristic, complemented
9#20243202C212yesmaximal, complemented
10#340×D47C212yesmaximal, complemented
11C4×#102×C47C211yesmaximal, characteristic, complemented
12C22×D4×D47C2211yescharacteristic
13C23×C4×D47—21no—
14C22×C8×D47C2212yes—
15C2×C4×D188C2211yescharacteristic
16C2×D4×Dic47C2211yescharacteristic
17C2×#13093986C2211yescharacteristic
18C2×C4×C22⋊D47—21no—
19C2×(C22⋊D47)⋊C4—21no—
20C4×D4×D47—24no—
21C4×D4×D47C418yescomplemented
22C2×C4⋊C4×D47C2211yescharacteristic
23C2×C4⋊C4×D47C2212yes—
24C2×C22⋊C4×D47—21no—
25C2×C42×D47—21no—
26C2×C42×D47C2211yescharacteristic
27C2×#13093946C2212yes—
28C2×#13093945C2212yes—
29C2×#13093944C2212yes—
30#102×D47C4116yesdirect product factor
31C2×C4×C47⋊C8C2211yescharacteristic, complemented
32C2×C8×Dic47C2212yescomplemented
33C4×C8×D47—24no—
34C4⋊C4×Dic47C2212yescomplemented
35C4×Dic47⋊C4—21no—
36C4×C4⋊Dic47C2211yescharacteristic, complemented
37#15688974—21no—
38#95×D47—21no—
39#15688886C2212yescomplemented
40#15688885C2212yescomplemented
41#15688885C2212yescomplemented
42C2×C4×D4×C47C2211yescharacteristic
43C2×#102×C47C2212yes—
44C2×C4×C8×C47C2211yescharacteristic, complemented
45C4×C4⋊C4×C47C2211yescharacteristic, complemented
46C47×#340C2212yescomplemented
47C24×D47—21no—
48C22×D188C2311yescharacteristic
49C22×C22⋊D47—21no—
50C2×D4×D47—22no—
51C2×D4×D47—24no—
52C2×D4×D47C2×C414yes—
53C2×D4×D47C2×C418yes—
54C23×Dic47—21no—
55C22×C4×D47—22no—
56C22×C4×D47—21no—
57C22×C4×D47—21no—
58C22×C4×D47—21no—
59C22×C4×D47—28no—
60C22×C4×D47—44no—
61C22×C4×D47—44no—
62C22×C4×D47D411yescharacteristic
63C22×C4×D47D411yescharacteristic
64C22×C4×D47C2311yescharacteristic
65C22×C47⋊C8C2312yes—
66C2×C8×D47—24no—
67C2×C8×D47—24no—
68C2×C8×D47C2×C418yescomplemented
69C4×D188—22no—
70C4×D188C2×C414yescomplemented
71D4×Dic47—22no—
72D4×Dic47C2×C414yescomplemented
73#13093986—22no—
74#13093986C2×C414yescomplemented
75C4×C22⋊D47—28no—
76(C22⋊D47)⋊C4—28no—
77C2×C4⋊Dic47C2311yescharacteristic
78C2×C4⋊Dic47C2312yes—
79C2×Dic47⋊C4—22no—
80C2×Dic47⋊C4—21no—
81C4⋊C4×D47—22no—
82C4⋊C4×D47—24no—
83C4⋊C4×D47C2×C414yes—
84C4⋊C4×D47C2×C418yescomplemented
85C2×C22⋊Dic47—21no—
86C2×(C2×D47)⋊C4—21no—
87C2×(C2×D47)⋊C4—21no—
88C22⋊C4×D47—28no—
89C2×C4×Dic47—21no—
90C2×C4×Dic47—22no—
91C2×C4×Dic47D411yescharacteristic
92C2×C4×Dic47D411yescharacteristic
93C2×C4×Dic47C2311yescharacteristic
94C42×D47—44no—
95C42×D47C2×C414yes—
96C42×D47D414yes—
97#13093946C2×C418yescomplemented
98#13093945C2×C418yescomplemented
99#13093944C2×C418yescomplemented
100C4×C47⋊C8—22no—
101C8×Dic47—24no—
102C47⋊#95—21no—
103C47⋊#95—22no—
104C22×D4×C47C2311yescharacteristic
105C23×C4×C47—21no—
106C22×C8×C47C2312yes—
107C4×D4×C47—22no—
108C4×D4×C47C2×C414yescomplemented
109C2×C4⋊C4×C47C2311yescharacteristic
110C2×C4⋊C4×C47C2312yes—
111C2×C22⋊C4×C47—21no—
112C2×C42×C47—21no—
113C2×C42×C47C2311yescharacteristic
114#102×C47C2×C418yescomplemented
115C4×C8×C47—22no—
116#95×C47—21no—
117C24×C47—21no—
118C23×D47—21no—
119C23×D47—24no—
120C23×D47—28no—
121C23×D47—42no—
122C23×D47—42no—
123C23×D47—44no—
124C23×D47C2×D411yescharacteristic
125C2×D4×C47—21no—
126C2×D4×C47—22no—
127C2×D4×C47C22×C412yes—
128C2×D4×C47C22×C414yes—
129C22×C4×C47—22no—
130C22×C4×C47—21no—
131C22×C4×C47—24no—
132C22×C4×C47—42no—
133C22×C4×C47—42no—
134C22×C4×C47C2×D411yescharacteristic
135C22×C4×C47C2×D411yescharacteristic
136C22×C4×C47C2411yescharacteristic
137C2×C22⋊D47—24no—
138C2×C22⋊D47—28no—
139C22×Dic47—22no—
140C22×Dic47—21no—
141C22×Dic47—24no—
142C22×Dic47—42no—
143C22×Dic47—42no—
144C22×Dic47C2×D411yescharacteristic
145C22×Dic47C2×D411yescharacteristic
146C22×Dic47C2×D411yescharacteristic
147D4×D47—28no—
148D4×D47—216no—
149D4×D47C42116yescomplemented
150C2×D188—21no—
151C2×D188—22no—
152C2×D188C22×C414yes—
153C2×D188C22×C412yes—
154C2×C4×D47—24no—
155C2×C4×D47—24no—
156C2×C4×D47—28no—
157C2×C4×D47—24no—
158C2×C4×D47—24no—
159C2×C4×D47—44no—
160C2×C4×D47—42no—
161C2×C4×D47—42no—
162C2×C4×D47—44no—
163C2×C4×D47—42no—
164C2×C4×D47—42no—
165C2×C4×D47—42no—
166C2×C4×D47—42no—
167C2×C4×D47—432no—
168C2×C4×D47C22⋊C414yes—
169C2×C4×D47C22⋊C414yes—
170C2×C4×D47D814yes—
171C2×C4×D47SD1614yes—
172C2×C4×D47C22×C412yes—
173C2×C4×D47C22×C414yes—
174C2×C4×D47C2×D412yes—
175C2×C4×D47#4114yes—
176C2×C8×C47—22no—
177C2×C8×C47—22no—
178C2×C8×C47C22×C414yescomplemented
179C4⋊C4×C47—21no—
180C4⋊C4×C47—22no—
181C4⋊C4×C47C22×C412yes—
182C4⋊C4×C47C22×C414yescomplemented
183C22⋊C4×C47—24no—
184C42×C47—42no—
185C42×C47C22×C412yes—
186C42×C47C2×D412yes—
187C22⋊Dic47—24no—
188(C2×D47)⋊C4—24no—
189(C2×D47)⋊C4—24no—
190C4⋊Dic47—21no—
191C4⋊Dic47—22no—
192C4⋊Dic47C22×C412yes—
193C4⋊Dic47C22×C414yescomplemented
194Dic47⋊C4—24no—
195Dic47⋊C4—28no—
196C4×Dic47—42no—
197C4×Dic47—44no—
198C4×Dic47C22⋊C414yes—
199C4×Dic47C22⋊C414yes—
200C4×Dic47C22×C412yes—
201C4×Dic47C2×D412yes—
202C2×C47⋊C8—22no—
203C2×C47⋊C8—22no—
204C2×C47⋊C8C22×C414yescomplemented
205C8×D47—216no—
206C23×C47—22no—
207C23×C47—24no—
208C23×C47—41no—
209C23×C47—41no—
210C23×C47—42no—
211C23×C47C22×D411yescharacteristic
212C22×D47—22no—
213C22×D47—24no—
214C22×D47—216no—
215C22×D47—41no—
216C22×D47—41no—
217C22×D47—42no—
218C22×D47—48no—
219C22×D47—48no—
220C22×D47—416no—
221C22×D47—416no—
222C22×D47C2×C22⋊C412yes—
223C22×D47C4×D414yes—
224C22×D47C2×D812yes—
225C22×D47C2×SD1612yes—
226C22×D47#13514yes—
227D4×C47—22no—
228D4×C47—24no—
229D4×C47C2×C4214yescomplemented
230C2×C4×C47—22no—
231C2×C4×C47—22no—
232C2×C4×C47—24no—
233C2×C4×C47—42no—
234C2×C4×C47—41no—
235C2×C4×C47—41no—
236C2×C4×C47—42no—
237C2×C4×C47—48no—
238C2×C4×C47C2×C22⋊C412yes—
239C2×C4×C47C2×C22⋊C412yes—
240C2×C4×C47C2×D812yes—
241C2×C4×C47C2×SD1612yes—
242C2×C4×C47C23×C411yescharacteristic
243C2×C4×C47C23×C412yes—
244C2×C4×C47C22×D411yescharacteristic
245C2×C4×C47C2×#4112yes—
246C22⋊D47—216no—
247C2×Dic47—22no—
248C2×Dic47—22no—
249C2×Dic47—24no—
250C2×Dic47—42no—
251C2×Dic47—41no—
252C2×Dic47—41no—
253C2×Dic47—42no—
254C2×Dic47—48no—
255C2×Dic47C2×C22⋊C412yes—
256C2×Dic47C2×C22⋊C412yes—
257C2×Dic47C2×C22⋊C412yes—
258C2×Dic47C4×D414yes—
259C2×Dic47C2×D812yes—
260C2×Dic47C2×SD1612yes—
261D188—22no—
262D188—24no—
263D188C2×C4214yescomplemented
264C4×D47—28no—
265C4×D47—48no—
266C4×D47—416no—
267C4×D47—48no—
268C4×D47—48no—
269C4×D47#102116yesdirect product factor
270C4×D47C2×C4214yes—
271C4×D47#11714yes—
272C4×D47C4×D418yes—
273C8×C47—24no—
274C47⋊C8—24no—
275C2×C4×#102—471nomaximal, Sylow
276C22×C47—24no—
277C22×C47—42no—
278C22×C47—42no—
279C22×C47—44no—
280C22×C47—44no—
281C22×C47C22×C22⋊C411yescharacteristic
282C22×C47C2×C4×D412yes—
283C22×C47C22×D811yescharacteristic
284C22×C47C22×SD1611yescharacteristic
285C22×C47C2×#13512yes—
286C2×D47—24no—
287C2×D47—42no—
288C2×D47—42no—
289C2×D47—44no—
290C2×D47—44no—
291C2×D47—432no—
292C2×D47C4×C22⋊C414yes—
293C2×D47C2×#10214yes—
294C2×D47#41614yes—
295C2×D47C4×D818yes—
296C2×D47C4×SD1618yes—
297C4×C47—22no—
298C4×C47—42no—
299C4×C47—44no—
300C4×C47C2×#10214yescomplemented
301C4×C47C22×C4211yescharacteristic
302C4×C47C2×#11711yescharacteristic
303C4×C47C2×C4×D412yes—
304Dic47—22no—
305Dic47—42no—
306Dic47—44no—
307Dic47C4×C22⋊C414yes—
308Dic47C2×#10214yescomplemented
309C22×C4×D4—471no—
310C22×#102—472no—
311C22×C4×C8—471no—
312C2×C4×C4⋊C4—471no—
313C4×#102—472no—
314C4×#102—471no—
315C4×#102—471no—
316C4×#102—472no—
317C4×#102—471no—
318C4×#102D4711yescharacteristic, direct product factor
319C2×#340—472no—
320C2×C47—44no—
321C2×C47C2×C4×C22⋊C411yescharacteristic
322C2×C47C22×#10211yescharacteristic
323C2×C47C2×#41611yescharacteristic
324C2×C47C2×C4×D812yes—
325C2×C47C2×C4×SD1612yes—
326D47—44no—
327D47C4×#10218yesdirect product factor
328C23×D4—471no—
329C24×C4—941no—
330C23×C8—472no—
331C2×C4×D4—471no—
332C2×C4×D4—478no—
333C2×C4×D4—471no—
334C2×C4×D4—471no—
335C2×C4×D4—941no—
336C2×C4×D4—944no—
337C2×C4×D4—941no—
338C2×C4×D4C2×D4711yescharacteristic
339C22×C4⋊C4—472no—
340C22×C4⋊C4—471no—
341C22×C22⋊C4—941no—
342C22×C42—471no—
343C22×C42—941no—
344C2×#102—472no—
345C2×#102—472no—
346C2×#102—472no—
347C2×#102—4716no—
348C2×#102C2×D4712yes—
349C2×C4×C8—472no—
350C2×C4×C8—471no—
351C2×C4×C8—944no—
352C2×C4×C8C2×D4711yescharacteristic, complemented
353C4×C4⋊C4—472no—
354C4×C4⋊C4—471no—
355C4×C4⋊C4—941no—
356C4×C4⋊C4—941no—
357C4×C4⋊C4C2×D4711yescharacteristic, complemented
358C2×#95—941no—
359#340—472no—
360#340—472no—
361#340—472no—
362#340C2×D4712yescomplemented
363C47C2×C4×#10211yescharacteristic, complemented, Sylow
364C25—941no—
365C22×D4—474no—
366C22×D4—478no—
367C22×D4—471no—
368C22×D4—942no—
369C22×D4—944no—
370C22×D4—941no—
371C22×D4C22×D4711yescharacteristic
372C23×C4—21no—
373C23×C4—471no—
374C23×C4—471no—
375C23×C4—471no—
376C23×C4—941no—
377C23×C4—948no—
378C23×C4—941no—
379C23×C4—942no—
380C23×C4—941no—
381C23×C4—941no—
382C23×C4—1884no—
383C23×C4—1884no—
384C22×C8—472no—
385C22×C8—478no—
386C22×C8—944no—
387C22×C8—944no—
388C22×C8C22×D4712yes—
389C4×D4—22no—
390C4×D4—474no—
391C4×D4—474no—
392C4×D4—474no—
393C4×D4—948no—
394C4×D4—942no—
395C4×D4—948no—
396C4×D4—942no—
397C4×D4—942no—
398C4×D4C4×D4714yescomplemented
399C2×C4⋊C4—471no—
400C2×C4⋊C4—472no—
401C2×C4⋊C4—474no—
402C2×C4⋊C4—478no—
403C2×C4⋊C4—942no—
404C2×C4⋊C4—944no—
405C2×C4⋊C4—941no—
406C2×C4⋊C4—942no—
407C2×C4⋊C4C22×D4711yescharacteristic
408C2×C4⋊C4C22×D4712yes—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—948no—
411C2×C22⋊C4—941no—
412C2×C22⋊C4—941no—
413C2×C22⋊C4—941no—
414C2×C42—21no—
415C2×C42—471no—
416C2×C42—471no—
417C2×C42—471no—
418C2×C42—474no—
419C2×C42—474no—
420C2×C42—942no—
421C2×C42—941no—
422C2×C42—1884no—
423C2×C42C22×D4711yescharacteristic
424#102—478no—
425#102—478no—
426#102—478no—
427#102C4×D4718yesdirect product factor
428C4×C8—22no—
429C4×C8—944no—
430C4×C8—942no—
431#95—21no—
432#95—942no—
433#95—941no—
434C24—21no—
435C24—471no—
436C24—944no—
437C24—948no—
438C24—941no—
439C24—1882no—
440C24—1882no—
441C24—1884no—
442C2×D4—21no—
443C2×D4—22no—
444C2×D4—4716no—
445C2×D4—474no—
446C2×D4—472no—
447C2×D4—948no—
448C2×D4—9416no—
449C2×D4—944no—
450C2×D4—948no—
451C2×D4—941no—
452C2×D4—942no—
453C2×D4C2×C4×D4714yes—
454C2×D4C2×C4×D4712yes—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—24no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—471no—
461C22×C4—471no—
462C22×C4—474no—
463C22×C4—474no—
464C22×C4—474no—
465C22×C4—472no—
466C22×C4—474no—
467C22×C4—472no—
468C22×C4—474no—
469C22×C4—471no—
470C22×C4—474no—
471C22×C4—944no—
472C22×C4—944no—
473C22×C4—944no—
474C22×C4—948no—
475C22×C4—944no—
476C22×C4—942no—
477C22×C4—941no—
478C22×C4—944no—
479C22×C4—1882no—
480C22×C4—1882no—
481C22×C4—18832no—
482C22×C4—1884no—
483C22×C4—1884no—
484C22×C4—1882no—
485C22×C4—1882no—
486C22×C4—1882no—
487C22×C4—1882no—
488C22×C4—1882no—
489C22×C4—1882no—
490C22×C4D4×D4711yescharacteristic
491C22×C4D4×D4711yescharacteristic
492C22×C4C23×D4711yescharacteristic
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—474no—
496C2×C8—9416no—
497C2×C8—942no—
498C2×C8—942no—
499C2×C8C2×C4×D4714yescomplemented
500C4⋊C4—21no—
501C4⋊C4—22no—
502C4⋊C4—472no—
503C4⋊C4—474no—
504C4⋊C4—948no—
505C4⋊C4—944no—
506C4⋊C4—941no—
507C4⋊C4—942no—
508C4⋊C4C2×C4×D4712yes—
509C4⋊C4C2×C4×D4714yescomplemented
510C22⋊C4—24no—
511C22⋊C4—944no—
512C22⋊C4—944no—
513C22⋊C4—944no—
514C42—42no—
515C42—474no—
516C42—474no—
517C42—472no—
518C42—472no—
519C42—1884no—
520C42—1882no—
521C42C2×C4×D4712yes—
522C42D4×D4712yes—
523C23—22no—
524C23—24no—
525C23—41no—
526C23—41no—
527C23—42no—
528C23—472no—
529C23—474no—
530C23—472no—
531C23—472no—
532C23—474no—
533C23—9416no—
534C23—942no—
535C23—944no—
536C23—1888no—
537C23—18816no—
538C23—1888no—
539C23—18816no—
540C23—1881no—
541C23—1881no—
542C23—1882no—
543C23C2×D4×D4711yescharacteristic
544D4—22no—
545D4—24no—
546D4—474no—
547D4—9416no—
548D4—942no—
549D4—944no—
550D4C42×D4714yescomplemented
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—42no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—42no—
558C2×C4—48no—
559C2×C4—472no—
560C2×C4—472no—
561C2×C4—474no—
562C2×C4—472no—
563C2×C4—472no—
564C2×C4—474no—
565C2×C4—474no—
566C2×C4—478no—
567C2×C4—4716no—
568C2×C4—472no—
569C2×C4—948no—
570C2×C4—942no—
571C2×C4—942no—
572C2×C4—944no—
573C2×C4—1888no—
574C2×C4—18816no—
575C2×C4—1888no—
576C2×C4—1888no—
577C2×C4—1882no—
578C2×C4—1881no—
579C2×C4—1881no—
580C2×C4—1882no—
581C2×C4—1888no—
582C2×C4C22⋊C4×D4712yes—
583C2×C4C22⋊C4×D4712yes—
584C2×C4D8×D4712yes—
585C2×C4SD16×D4712yes—
586C2×C4C22×C4×D4711yescharacteristic
587C2×C4C22×C4×D4712yes—
588C2×C4C2×D4×D4711yescharacteristic
589C2×C4#41×D4712yes—
590C8—24no—
591C8—944no—
592C22—24no—
593C22—42no—
594C22—44no—
595C22—42no—
596C22—44no—
597C22—474no—
598C22—474no—
599C22—478no—
600C22—474no—
601C22—478no—
602C22—944no—
603C22—18832no—
604C22—1882no—
605C22—1884no—
606C22—1882no—
607C22—1884no—
608C22C2×C22⋊C4×D4711yescharacteristic
609C22C4×D4×D4712yes—
610C22C2×D8×D4711yescharacteristic
611C22C2×SD16×D4711yescharacteristic
612C22#135×D4712yes—
613C4—22no—
614C4—42no—
615C4—44no—
616C4—474no—
617C4—474no—
618C4—942no—
619C4—1882no—
620C4—1884no—
621C4#102×D4714yesdirect product factor
622C4C2×C42×D4711yescharacteristic
623C4#117×D4711yescharacteristic
624C4C4×D4×D4712yes—
625C2—44no—
626C2—478no—
627C2—1884no—
628C2C4×C22⋊C4×D4711yescharacteristic
629C2C2×#102×D4711yescharacteristic
630C2#416×D4711yescharacteristic
631C2C4×D8×D4712yes—
632C2C4×SD16×D4712yes—
subgroupG/H
centerC22×C4D4×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC4×#102×C47C2
socleC23×C47C22×D4
prime radicalC22×D4×D47C22
cosocleC22×C4×C47C24
hypercenterC4×#102D47
hypocenterC47C2×C4×#102
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
3. C2×C4×C8×D47C2semidirect
4. C4×C4⋊C4×D47C2semidirect
5. C4×#13093944C2semidirect
6. #102×Dic47C2semidirect
7. C4×#13093946C2semidirect
8. C4×#13093945C2semidirect
9. #20243202C2semidirect
10. #340×D47C2semidirect
11. C4×#102×C47C2semidirect
21. C4×D4×D47C4semidirect
30. #102×D47C4direct (N × H)
31. C2×C4×C47⋊C8C22semidirect
32. C2×C8×Dic47C22semidirect
34. C4⋊C4×Dic47C22semidirect
36. C4×C4⋊Dic47C22semidirect
39. #15688886C22semidirect
40. #15688885C22semidirect
41. #15688885C22semidirect
44. C2×C4×C8×C47C22semidirect
45. C4×C4⋊C4×C47C22semidirect
46. C47×#340C22semidirect
68. C2×C8×D47C2×C4semidirect
70. C4×D188C2×C4semidirect
72. D4×Dic47C2×C4semidirect
74. #13093986C2×C4semidirect
84. C4⋊C4×D47C2×C4semidirect
97. #13093946C2×C4semidirect
98. #13093945C2×C4semidirect
99. #13093944C2×C4semidirect
108. C4×D4×C47C2×C4semidirect
114. #102×C47C2×C4semidirect
149. D4×D47C42semidirect
178. C2×C8×C47C22×C4semidirect
182. C4⋊C4×C47C22×C4semidirect
193. C4⋊Dic47C22×C4semidirect
204. C2×C47⋊C8C22×C4semidirect
229. D4×C47C2×C42semidirect
263. D188C2×C42semidirect
269. C4×D47#102direct (N × H)
300. C4×C47C2×#102semidirect
308. Dic47C2×#102semidirect
318. C4×#102D47direct (N × H)
327. D47C4×#102direct (N × H)
352. C2×C4×C8C2×D47semidirect
357. C4×C4⋊C4C2×D47semidirect
362. #340C2×D47semidirect
363. C47C2×C4×#102semidirect
398. C4×D4C4×D47semidirect
427. #102C4×D47direct (N × H)
499. C2×C8C2×C4×D47semidirect
509. C4⋊C4C2×C4×D47semidirect
550. D4C42×D47semidirect
621. C4#102×D47direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×D4×D472
C2×#102×D472
C2×C4×C8×D472
C4×C4⋊C4×D472
C4×#130939442
#102×Dic472
C4×#130939462
C4×#130939452
#202432022
#340×D472
C4×#102×C472
C2×C4×#10247