Finite Group Databasebeta

← #26214067

Subgroups — #26214067

Order 12032.

1706 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689591C211yesmaximal, characteristic
2C2×#15689125C211yesmaximal, characteristic
3C2×#15689122C211yesmaximal, characteristic
4C2×M16×Dic47C211yesmaximal, characteristic, complemented
5C2×C4⋊C4×Dic47C211yesmaximal, characteristic, complemented
6#20243217C212yesmaximal, complemented
7#20243212C212yesmaximal, complemented
8#20243207C212yesmaximal, complemented
9#20243202C212yesmaximal, complemented
10#20243109C211yesmaximal, characteristic, complemented
11C47×#1736C211yesmaximal, characteristic, complemented
12C22×#10625350C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14#15689591—24no—
15#15689591C418yescomplemented
16C2×#13093989C2211yescharacteristic
17C2×#13093989C2211yescharacteristic
18C2×#13093986C2211yescharacteristic
19C2×#13093986C2211yescharacteristic
20C2×(C22⋊D47)⋊C4—21no—
21C2×(C22⋊D47)⋊C4—21no—
22C2×#13093981—21no—
23C22×C4⋊Dic47C2211yescharacteristic
24C22×C4×Dic47—21no—
25C22×C4×Dic47C2211yescharacteristic
26C2×C42×D47—21no—
27#15689125C418yescomplemented
28#15689122C418yescomplemented
29C2×#13093949C2212yes—
30C2×#13093947C2212yes—
31C2×#13093946C2212yes—
32C2×#13093944C2212yes—
33M16×Dic47—24no—
34C2×#13093934C2212yes—
35C2×C8×Dic47C2212yes—
36C4⋊C4×Dic47—21no—
37C4⋊C4×Dic47—21no—
38C4⋊C4×Dic47C2212yes—
39C4⋊C4×Dic47C2212yes—
40C2×C47⋊#95—21no—
41#15688885C2212yes—
42#15688885C2212yes—
43C22×M16×C47C2211yescharacteristic
44C2×#117×C47C2211yescharacteristic
45C22×C4⋊C4×C47C2211yescharacteristic
46C47×#340C2212yes—
47C47×#340C2212yes—
48C2×#10625350—22no—
49C2×#10625350—22no—
50C2×#10625350—22no—
51C2×#10625350C2×C414yes—
52C2×#10625350C2×C414yes—
53C2×#10625350C2×C414yes—
54C22×Dic94C2311yescharacteristic
55C22×D188C2311yescharacteristic
56C22×C22⋊D47—21no—
57C23×Dic47—21no—
58C23×Dic47D411yescharacteristic
59C23×Dic47D411yescharacteristic
60C22×C4×D47—21no—
61C22×C4×D47—21no—
62C22×C4×D47—21no—
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329C2×C414yescomplemented
66C22×C47⋊C8C2312yes—
67#13093989—22no—
68#13093989—22no—
69#13093989C2×C414yescomplemented
70#13093989C2×C414yescomplemented
71#13093986—22no—
72#13093986—22no—
73#13093986C2×C414yescomplemented
74#13093986C2×C414yescomplemented
75(C22⋊D47)⋊C4—28no—
76(C22⋊D47)⋊C4—28no—
77#13093981—28no—
78C2×C4⋊Dic47—21no—
79C2×C4⋊Dic47—22no—
80C2×C4⋊Dic47C2×C414yescomplemented
81C2×C4⋊Dic47C2312yes—
82C2×Dic47⋊C4—21no—
83C2×Dic47⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—21no—
86C2×C4×Dic47—21no—
87C2×C4×Dic47—21no—
88C2×C4×Dic47—22no—
89C2×C4×Dic47—22no—
90C2×C4×Dic47—44no—
91C2×C4×Dic47C2×C414yes—
92C2×C4×Dic47D411yescharacteristic
93C2×C4×Dic47D411yescharacteristic
94C2×C4×Dic47D414yes—
95C2×C4×Dic47C2311yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C42×D47—28no—
98#13093949C2×C418yescomplemented
99#13093947C2×C418yescomplemented
100#13093946C2×C418yescomplemented
101#13093944C2×C418yescomplemented
102#13093934—24no—
103C8×Dic47—24no—
104C47⋊#95—22no—
105C47⋊#95—22no—
106C23×C4×C47—21no—
107C23×C4×C47C2311yescharacteristic
108C2×M16×C47—22no—
109C2×M16×C47—22no—
110C2×M16×C47C2×C414yescomplemented
111C22×C8×C47C2312yes—
112#117×C47—22no—
113#117×C47C2×C414yes—
114C2×C4⋊C4×C47—21no—
115C2×C4⋊C4×C47—22no—
116C2×C4⋊C4×C47C2×C414yescomplemented
117C2×C4⋊C4×C47C2312yes—
118C2×C4⋊C4×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C22⋊C4×C47—21no—
121C2×C42×C47—21no—
122C24×C47C2×D411yescharacteristic
123C23×D47—21no—
124C22×C4×C47—24no—
125C22×C4×C47—21no—
126C22×C4×C47—21no—
127C22×C4×C47—22no—
128C22×C4×C47—42no—
129C22×C4×C47—42no—
130C22×C4×C47C22×C412yes—
131C22×C4×C47C22×C412yes—
132C22×C4×C47C22×C412yes—
133C22×C4×C47C2×D411yescharacteristic
134C22×C4×C47C2×D412yes—
135C22×C4×C47#4112yes—
136C22×C4×C47#4112yes—
137C22×C4×C47C2411yescharacteristic
138C2×C22⋊D47—24no—
139C2×C22⋊D47—24no—
140C2×C22⋊D47—24no—
141C22×Dic47—21no—
142C22×Dic47—22no—
143C22×Dic47—22no—
144C22×Dic47—24no—
145C22×Dic47—22no—
146C22×Dic47—41no—
147C22×Dic47—41no—
148C22×Dic47—42no—
149C22×Dic47—42no—
150C22×Dic47C22⋊C414yes—
151C22×Dic47C22⋊C414yes—
152C22×Dic47C2×D411yescharacteristic
153C22×Dic47C2×D411yescharacteristic
154C22×Dic47C2×D411yescharacteristic
155C22×Dic47C2×D411yescharacteristic
156#10625350—28no—
157#10625350—28no—
158#10625350—28no—
159#10625350C42116yescomplemented
160C2×D188—21no—
161C2×D188—21no—
162C2×D188—21no—
163C2×D188C22×C412yes—
164C2×D188C22×C412yes—
165C2×D188C22×C412yes—
166C2×C4×D47—24no—
167C2×C4×D47—24no—
168C2×C4×D47—24no—
169C2×C4×D47—24no—
170C2×C4×D47—24no—
171C2×C4×D47—42no—
172C2×C4×D47—42no—
173C2×C4×D47—42no—
174C2×C4×D47—42no—
175C2×Dic94—21no—
176C2×Dic94—21no—
177C2×Dic94—21no—
178C2×Dic94C22×C412yes—
179C2×Dic94C22×C412yes—
180C2×Dic94C22×C412yes—
181M16×C47—28no—
182C2×C8×C47—22no—
183C2×C8×C47—22no—
184C2×C8×C47C22×C414yes—
185C4⋊C4×C47—24no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—22no—
189C4⋊C4×C47C22×C414yes—
190C4⋊C4×C47C22×C412yes—
191C4⋊C4×C47C22×C412yes—
192C22⋊C4×C47—24no—
193C42×C47—24no—
194(C2×D47)⋊C4—24no—
195(C2×D47)⋊C4—24no—
196C4⋊Dic47—24no—
197C4⋊Dic47—22no—
198C4⋊Dic47C22×C414yes—
199Dic47⋊C4—24no—
200Dic47⋊C4—24no—
201C4×Dic47—24no—
202C4×Dic47—24no—
203C4×Dic47—44no—
204C4×Dic47—44no—
205C4×Dic47C22⋊C414yes—
206C4×Dic47C22⋊C414yes—
207C4×Dic47C22×C412yes—
208C4×Dic47C22×C412yes—
209C4×Dic47C2×D412yes—
210C4×Dic47C2×D412yes—
211#10625329—28no—
212C2×C47⋊C8—22no—
213C2×C47⋊C8—22no—
214C2×C47⋊C8C22×C414yes—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47C2×C22⋊C412yes—
220C23×C47C4×D412yes—
221C23×C47C4×D412yes—
222C23×C47C22×D411yescharacteristic
223C22×D47—22no—
224C22×D47—22no—
225C22×D47—22no—
226C22×D47—41no—
227C22×D47—41no—
228C22×D47—41no—
229C22×D47—41no—
230C2×C4×C47—22no—
231C2×C4×C47—22no—
232C2×C4×C47—24no—
233C2×C4×C47—48no—
234C2×C4×C47—42no—
235C2×C4×C47—41no—
236C2×C4×C47—41no—
237C2×C4×C47—41no—
238C2×C4×C47—41no—
239C2×C4×C47—42no—
240C2×C4×C47C2×C4214yes—
241C2×C4×C47C2×C22⋊C412yes—
242C2×C4×C47#11714yes—
243C2×C4×C47C4×D414yes—
244C2×C4×C47C4×D412yes—
245C2×C4×C47C4×D414yes—
246C2×C4×C47C4×D412yes—
247C2×C4×C47C23×C411yescharacteristic
248C2×C4×C47C23×C411yescharacteristic
249C2×C4×C47C23×C411yescharacteristic
250C2×C4×C47C22×D411yescharacteristic
251C2×C4×C47C2×#4111yescharacteristic
252C2×C4×C47C2×#4111yescharacteristic
253C22⋊D47—216no—
254C2×Dic47—22no—
255C2×Dic47—22no—
256C2×Dic47—22no—
257C2×Dic47—21no—
258C2×Dic47—21no—
259C2×Dic47—21no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—28no—
264C2×Dic47—24no—
265C2×Dic47—44no—
266C2×Dic47—48no—
267C2×Dic47—42no—
268C2×Dic47—42no—
269C2×Dic47C2×C22⋊C412yes—
270C2×Dic47C2×C22⋊C412yes—
271C2×Dic47C2×C22⋊C412yes—
272C2×Dic47C2×C22⋊C412yes—
273C2×Dic47AGL(1,ℤ/8)12yes—
274C2×Dic47#13712yes—
275D188—22no—
276D188—22no—
277D188—22no—
278D188C2×C4214yescomplemented
279C4×D47—216no—
280C4×D47—48no—
281C4×D47—48no—
282Dic94—22no—
283Dic94—22no—
284Dic94—22no—
285Dic94C2×C4214yescomplemented
286C8×C47—24no—
287C47⋊C8—24no—
288C4×#417—471nomaximal, Sylow
289C22×C47—22no—
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—22no—
295C22×C47C4×C22⋊C414yes—
296C22×C47C22×C22⋊C411yescharacteristic
297C22×C47C2×C4×D411yescharacteristic
298C22×C47C2×C4×D411yescharacteristic
299C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
300C22×C47C2×#13711yescharacteristic
301C22×C47#57511yescharacteristic
302C22×C47#57511yescharacteristic
303C2×D47—24no—
304C2×D47—42no—
305C2×D47—42no—
306C2×D47—42no—
307C2×D47—42no—
308C2×D47—42no—
309C2×D47—42no—
310C4×C47—42no—
311C4×C47—42no—
312C4×C47—44no—
313C4×C47C4×C22⋊C414yes—
314C4×C47C22×C4211yescharacteristic
315C4×C47C2×#11711yescharacteristic
316C4×C47C2×C4×D411yescharacteristic
317C4×C47C2×C4×D411yescharacteristic
318Dic47—22no—
319Dic47—22no—
320Dic47—22no—
321Dic47—24no—
322Dic47—44no—
323Dic47#41714yescomplemented
324C2×C4×#41—471no—
325C2×#417—471no—
326C2×#417—471no—
327C2×C4×M16—471no—
328C2×C4×C4⋊C4—471no—
329#1763—472no—
330#1762—472no—
331C4×#103—472no—
332C4×#102—472no—
333#1736—471no—
334#1736D4711yescharacteristic, complemented
335C2×C47—24no—
336C2×C47C2×C4×C22⋊C411yescharacteristic
337C2×C47C2×#41711yescharacteristic
338C2×C47#289611yescharacteristic
339C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
340C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
341C2×C47C4×#13711yescharacteristic
342C2×C47C4×#13711yescharacteristic
343D47—44no—
344C22×#41—471no—
345C22×M16—471no—
346C22×M16C2×D4711yescharacteristic
347C4×#41—478no—
348C4×#41—944no—
349C2×C4×Q8—471no—
350C2×C4×Q8—471no—
351C2×C4×D4—471no—
352C2×C4×D4—471no—
353C2×C4×D4—941no—
354C2×C4×D4—941no—
355C2×#117—941no—
356C2×#117C2×D4711yescharacteristic
357C22×C4⋊C4—471no—
358C22×C4⋊C4C2×D4711yescharacteristic
359C22×C42—471no—
360C22×C42—941no—
361C22×C42—941no—
362#417—478no—
363#417—478no—
364C2×#103—472no—
365C2×#103—472no—
366C2×#102—472no—
367C2×#102—472no—
368C4×M16—944no—
369C2×#97—472no—
370C2×C4×C8—472no—
371C4×C4⋊C4—472no—
372C4×C4⋊C4—472no—
373C4×C4⋊C4—941no—
374C4×C4⋊C4—941no—
375C2×#95—941no—
376#340—472no—
377#340—472no—
378#340C2×D4712yes—
379#340C2×D4712yes—
380C47C4×#41711yescharacteristic, complemented, Sylow
381C2×#41—474no—
382C2×#41—474no—
383C2×#41—474no—
384C2×#41—942no—
385C2×#41—942no—
386C2×#41—942no—
387C22×Q8—471no—
388C22×D4—471no—
389C22×D4—941no—
390C23×C4—21no—
391C23×C4—471no—
392C23×C4—471no—
393C23×C4—941no—
394C23×C4—941no—
395C23×C4—941no—
396C23×C4—941no—
397C23×C4C22×D4711yescharacteristic
398C2×M16—22no—
399C2×M16—22no—
400C2×M16—474no—
401C2×M16—942no—
402C2×M16—942no—
403C2×M16C4×D4714yescomplemented
404C22×C8—472no—
405C22×C8C22×D4712yes—
406C4×Q8—474no—
407C4×Q8—474no—
408C4×Q8—942no—
409C4×Q8—942no—
410C4×D4—474no—
411C4×D4—474no—
412C4×D4—942no—
413C4×D4—942no—
414C4×D4—948no—
415C4×D4—948no—
416#117—22no—
417#117—948no—
418#117C4×D4714yes—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—474no—
422C2×C4⋊C4—472no—
423C2×C4⋊C4—941no—
424C2×C4⋊C4—941no—
425C2×C4⋊C4—941no—
426C2×C4⋊C4—942no—
427C2×C4⋊C4C4×D4714yescomplemented
428C2×C4⋊C4C22×D4712yes—
429C2×C4⋊C4C22×D4711yescharacteristic
430C2×C4⋊C4C22×D4711yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—941no—
433C2×C22⋊C4—941no—
434C2×C42—21no—
435C2×C42—474no—
436C2×C42—471no—
437C2×C42—474no—
438C2×C42—471no—
439C2×C42—471no—
440C2×C42—471no—
441C2×C42—948no—
442C2×C42—941no—
443C2×C42—941no—
444C2×C42—942no—
445C2×C42—942no—
446C2×C42—1884no—
447#103—478no—
448#103—478no—
449#102—478no—
450#102—478no—
451#97—944no—
452C4×C8—944no—
453#95—942no—
454#95—942no—
455C24—941no—
456C24D4×D4711yescharacteristic
457#41—4716no—
458#41—948no—
459#41—948no—
460#41—948no—
461C2×Q8—472no—
462C2×Q8—472no—
463C2×Q8—472no—
464C2×Q8—941no—
465C2×Q8—941no—
466C2×Q8—941no—
467C2×D4—472no—
468C2×D4—472no—
469C2×D4—472no—
470C2×D4—944no—
471C2×D4—944no—
472C2×D4—944no—
473C2×D4—941no—
474C2×D4—941no—
475C2×D4—941no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—471no—
483C22×C4—474no—
484C22×C4—471no—
485C22×C4—471no—
486C22×C4—471no—
487C22×C4—474no—
488C22×C4—944no—
489C22×C4—944no—
490C22×C4—942no—
491C22×C4—942no—
492C22×C4—941no—
493C22×C4—944no—
494C22×C4—944no—
495C22×C4—944no—
496C22×C4—944no—
497C22×C4—942no—
498C22×C4—1882no—
499C22×C4—1882no—
500C22×C4—1882no—
501C22×C4—1882no—
502C22×C4—1881no—
503C22×C4—1881no—
504C22×C4—1882no—
505C22×C4—1882no—
506C22×C4C2×C4×D4712yes—
507C22×C4C2×C4×D4712yes—
508C22×C4C2×C4×D4712yes—
509C22×C4D4×D4711yescharacteristic
510C22×C4D4×D4712yes—
511C22×C4#1062535212yes—
512C22×C4#1062535412yes—
513C22×C4C23×D4711yescharacteristic
514M16—28no—
515M16—948no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—474no—
519C2×C8—942no—
520C2×C8—942no—
521C2×C8C2×C4×D4714yes—
522C4⋊C4—24no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—474no—
527C4⋊C4—944no—
528C4⋊C4—944no—
529C4⋊C4—944no—
530C4⋊C4—942no—
531C4⋊C4C2×C4×D4714yes—
532C4⋊C4C2×C4×D4712yes—
533C4⋊C4C2×C4×D4712yes—
534C22⋊C4—24no—
535C22⋊C4—944no—
536C22⋊C4—944no—
537C42—24no—
538C42—474no—
539C42—474no—
540C42—472no—
541C42—472no—
542C42—472no—
543C42—472no—
544C42—944no—
545C42—944no—
546C42—1884no—
547C42—1884no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—942no—
553C23—942no—
554C23—942no—
555C23—1881no—
556C23—1881no—
557C23—1881no—
558C23—1881no—
559C23C22⋊C4×D4712yes—
560C23(C22⋊D47)⋊C412yes—
561C23#1309398612yes—
562C23C2×D4×D4711yescharacteristic
563Q8—474no—
564Q8—942no—
565Q8—942no—
566Q8—942no—
567D4—474no—
568D4—9416no—
569D4—942no—
570D4—942no—
571D4—942no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—48no—
576C2×C4—42no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—42no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—472no—
583C2×C4—472no—
584C2×C4—472no—
585C2×C4—472no—
586C2×C4—472no—
587C2×C4—472no—
588C2×C4—948no—
589C2×C4—942no—
590C2×C4—942no—
591C2×C4—942no—
592C2×C4—941no—
593C2×C4—941no—
594C2×C4—941no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—9416no—
599C2×C4—944no—
600C2×C4—1888no—
601C2×C4—1888no—
602C2×C4—1884no—
603C2×C4—1888no—
604C2×C4—1882no—
605C2×C4—1882no—
606C2×C4C42×D4714yes—
607C2×C4C22⋊C4×D4712yes—
608C2×C4#1309398214yes—
609C2×C4(C22⋊D47)⋊C412yes—
610C2×C4(C22⋊D47)⋊C414yes—
611C2×C4#1309398612yes—
612C2×C4#1309398614yes—
613C2×C4C22×C4×D4711yescharacteristic
614C2×C4C22×C4×D4711yescharacteristic
615C2×C4C22×C4×D4711yescharacteristic
616C2×C4C2×D4×D4711yescharacteristic
617C2×C4C2×#1062535211yescharacteristic
618C2×C4C2×#1062535411yescharacteristic
619C8—24no—
620C8—944no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—944no—
628C22—1882no—
629C22—1882no—
630C22—1882no—
631C22—1882no—
632C22—1882no—
633C22—1882no—
634C22#1568897014yes—
635C22C2×C22⋊C4×D4711yescharacteristic
636C22C2×(C22⋊D47)⋊C411yescharacteristic
637C22C2×#1309398611yescharacteristic
638C22AGL(1,ℤ/8)×D4711yescharacteristic
639C22#137×D4711yescharacteristic
640C22#1568991911yescharacteristic
641C22#1568992211yescharacteristic
642C4—42no—
643C4—44no—
644C4—42no—
645C4—474no—
646C4—942no—
647C4—942no—
648C4—944no—
649C4—942no—
650C4—1884no—
651C4#1568897014yes—
652C4C2×C42×D4711yescharacteristic
653C4C2×#1309398211yescharacteristic
654C4C2×(C22⋊D47)⋊C411yescharacteristic
655C4C2×#1309398611yescharacteristic
656C2—24no—
657C2—1884no—
658C2C2×#1568897011yescharacteristic
659C2#417×D4711yescharacteristic
660C2#2025190411yescharacteristic
661C2#2025219211yescharacteristic
662C2#2025219511yescharacteristic
663C2#2025220311yescharacteristic
664C2#2025220611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC47×#1736C2
socleC23×C47C22×D4
prime radicalC22×#10625350C22
cosocleC22×C4×C47C24
hypercenter#1736D47
hypocenterC47C4×#417
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. C2×M16×Dic47C2semidirect
5. C2×C4⋊C4×Dic47C2semidirect
6. #20243217C2semidirect
7. #20243212C2semidirect
8. #20243207C2semidirect
9. #20243202C2semidirect
10. #20243109C2semidirect
11. C47×#1736C2semidirect
15. #15689591C4semidirect
27. #15689125C4semidirect
28. #15689122C4semidirect
65. C2×#10625329C2×C4semidirect
69. #13093989C2×C4semidirect
70. #13093989C2×C4semidirect
73. #13093986C2×C4semidirect
74. #13093986C2×C4semidirect
80. C2×C4⋊Dic47C2×C4semidirect
98. #13093949C2×C4semidirect
99. #13093947C2×C4semidirect
100. #13093946C2×C4semidirect
101. #13093944C2×C4semidirect
110. C2×M16×C47C2×C4semidirect
116. C2×C4⋊C4×C47C2×C4semidirect
159. #10625350C42semidirect
278. D188C2×C42semidirect
285. Dic94C2×C42semidirect
323. Dic47#417semidirect
334. #1736D47semidirect
380. C47C4×#417semidirect
403. C2×M16C4×D47semidirect
427. C2×C4⋊C4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156895912
C2×#156891252
C2×#156891222
C2×M16×Dic472
C2×C4⋊C4×Dic472
#202432172
#202432122
#202432072
#202432022
#202431092
C47×#17362
C4×#41747