Finite Group Databasebeta

← #26217027

Subgroups — #26217027

Order 12032.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D47C211yesmaximal, characteristic
2C2×#15689166C211yesmaximal, characteristic, complemented
3C2×#15689165C211yesmaximal, characteristic, complemented
4C2×#15689086C211yesmaximal, characteristic
5C2×#15688980C211yesmaximal, characteristic
6#20243590C212yesmaximal, complemented
7#20243588C212yesmaximal, complemented
8#20243582C212yesmaximal, complemented
9#20243577C212yesmaximal, complemented
10#20243107C211yesmaximal, characteristic, complemented
11C47×#1736C211yesmaximal, characteristic, complemented
12C23×C4×D47C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14C2×#13093983C2211yescharacteristic
15C2×#13093982C2211yescharacteristic
16C2×#13093982C2211yescharacteristic
17C2×#13093981—21no—
18C2×#13093980—21no—
19#117×D47—24no—
20#117×D47—24no—
21C22×C4⋊Dic47C2211yescharacteristic
22C2×C4⋊C4×D47C2211yescharacteristic
23C2×C4⋊C4×D47C2211yescharacteristic
24C22×(C2×D47)⋊C4—21no—
25C2×C22⋊C4×D47—21no—
26C2×C42×D47—21no—
27#15689166—24no—
28#15689165—24no—
29C2×#13093958C2212yescomplemented
30C2×#13093957C2212yescomplemented
31C2×#13093956C2212yescomplemented
32C2×#13093955C2212yescomplemented
33#15689086C418yescomplemented
34C2×(C2×D47)⋊C8C2212yes—
35C2×(C2×D47)⋊C8C2212yes—
36#15688980—21no—
37#15688980—21no—
38#15688980C2212yes—
39#15688980C2212yes—
40C2×C47⋊#95—21no—
41#15688885C2212yescomplemented
42#15688885C2212yescomplemented
43C22×M16×C47C2211yescharacteristic
44C2×#117×C47C2211yescharacteristic
45C22×C4⋊C4×C47C2211yescharacteristic
46C47×#340C2212yescomplemented
47C47×#340C2212yescomplemented
48C24×D47D411yescharacteristic
49C23×Dic47—21no—
50C23×Dic47D411yescharacteristic
51C22×C4×D47—22no—
52C22×C4×D47—22no—
53C22×C4×D47—22no—
54C22×C4×D47—22no—
55C22×C4×D47—21no—
56C22×C4×D47—21no—
57C22×C4×D47C2×C414yes—
58C22×C4×D47D411yescharacteristic
59C22×C4×D47D411yescharacteristic
60C22×C4×D47Q814yes—
61C22×C4×D47C2311yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329C2×C414yescomplemented
66C22×C47⋊C8C2312yes—
67#13093983—22no—
68#13093983D414yes—
69#13093982—22no—
70#13093982—22no—
71#13093982—22no—
72#13093982—22no—
73#13093981—28no—
74#13093980—28no—
75C2×C4⋊Dic47—22no—
76C2×C4⋊Dic47—22no—
77C2×C4⋊Dic47—21no—
78C2×C4⋊Dic47C2312yes—
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C4⋊Dic47C2311yescharacteristic
81C2×Dic47⋊C4—21no—
82C2×Dic47⋊C4—21no—
83C4⋊C4×D47—22no—
84C4⋊C4×D47—22no—
85C4⋊C4×D47—22no—
86C4⋊C4×D47—22no—
87C2×C22⋊Dic47—21no—
88C2×(C2×D47)⋊C4—21no—
89C2×(C2×D47)⋊C4—21no—
90C2×(C2×D47)⋊C4—22no—
91C2×(C2×D47)⋊C4—22no—
92C2×(C2×D47)⋊C4—44no—
93C22⋊C4×D47—28no—
94C2×C4×Dic47—21no—
95C2×C4×Dic47—21no—
96C2×C4×Dic47—21no—
97C42×D47—28no—
98#13093958—24no—
99#13093957—24no—
100#13093956—24no—
101#13093955—24no—
102(C2×D47)⋊C8C2×C418yescomplemented
103(C2×D47)⋊C8C2×C418yescomplemented
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×C47D414yes—
114C2×C4⋊C4×C47—22no—
115C2×C4⋊C4×C47—22no—
116C2×C4⋊C4×C47—21no—
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—22no—
124C23×D47—22no—
125C23×D47—22no—
126C23×D47—22no—
127C23×D47—41no—
128C23×D47—41no—
129C23×D47C4⋊C414yes—
130C23×D47C2×D411yescharacteristic
131C23×D47C2×D411yescharacteristic
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—22no—
135C22×C4×C47—42no—
136C22×C4×C47—42no—
137C22×C4×C47—42no—
138C22×C4×C47C22×C412yes—
139C22×C4×C47C2×D411yescharacteristic
140C22×C4×C47C2×D412yes—
141C22×C4×C47C2×D412yes—
142C22×C4×C47C2×Q812yes—
143C22×C4×C47#4112yes—
144C22×C4×C47#4112yes—
145C22×C4×C47C2411yescharacteristic
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—21no—
149C22×Dic47—21no—
150C22×Dic47—22no—
151C22×Dic47—42no—
152C22×Dic47—42no—
153C22×Dic47—42no—
154C22×Dic47C4⋊C414yes—
155C22×Dic47C2×D411yescharacteristic
156C22×Dic47C2×D411yescharacteristic
157C2×C4×D47—28no—
158C2×C4×D47—28no—
159C2×C4×D47—22no—
160C2×C4×D47—22no—
161C2×C4×D47—28no—
162C2×C4×D47—28no—
163C2×C4×D47—22no—
164C2×C4×D47—22no—
165C2×C4×D47—21no—
166C2×C4×D47—21no—
167C2×C4×D47—21no—
168C2×C4×D47—21no—
169C2×C4×D47—21no—
170C2×C4×D47—21no—
171C2×C4×D47—21no—
172C2×C4×D47—21no—
173C2×C4×D47—24no—
174C2×C4×D47—24no—
175C2×C4×D47—42no—
176C2×C4×D47—42no—
177C2×C4×D47—42no—
178C2×C4×D47—42no—
179C2×C4×D47C4⋊C414yes—
180C2×C4×D47C4⋊C414yes—
181C2×C4×D47C22×C412yes—
182C2×C4×D47C22×C412yes—
183C2×C4×D47C2×Q812yes—
184C2×C4×D47C2×Q812yes—
185M16×C47—28no—
186C2×C8×C47—22no—
187C2×C8×C47—22no—
188C2×C8×C47C22×C414yes—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—22no—
192C4⋊C4×C47—22no—
193C4⋊C4×C47—42no—
194C4⋊C4×C47C2×D412yes—
195C4⋊C4×C47C2×D412yes—
196C22⋊C4×C47—24no—
197C42×C47—24no—
198C22⋊Dic47—24no—
199(C2×D47)⋊C4—24no—
200(C2×D47)⋊C4—24no—
201(C2×D47)⋊C4—44no—
202(C2×D47)⋊C4—44no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—22no—
206C4⋊Dic47—22no—
207C4⋊Dic47—42no—
208C4⋊Dic47C2×D412yes—
209C4⋊Dic47C2×D412yes—
210Dic47⋊C4—24no—
211Dic47⋊C4—24no—
212C4×Dic47—24no—
213C4×Dic47—24no—
214C4×Dic47—24no—
215#10625329—28no—
216C2×C47⋊C8—22no—
217C2×C47⋊C8—22no—
218C2×C47⋊C8C22×C414yes—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47C2×C4⋊C412yes—
224C23×C47#12012yes—
225C23×C47#12312yes—
226C23×C47C22×D411yescharacteristic
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C22×D47—21no—
235C22×D47—21no—
236C22×D47—21no—
237C22×D47—28no—
238C22×D47—28no—
239C22×D47—44no—
240C22×D47—44no—
241C22×D47—44no—
242C22×D47—44no—
243C22×D47—44no—
244C22×D47C2×C4⋊C412yes—
245C22×D47C2×C4⋊C412yes—
246C22×D47AGL(1,ℤ/8)12yes—
247C22×D47#13712yes—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—42no—
255C2×C4×C47—42no—
256C2×C4×C47—42no—
257C2×C4×C47—84no—
258C2×C4×C47C2×C4⋊C412yes—
259C2×C4×C47C4×D414yes—
260C2×C4×C47C4×D414yes—
261C2×C4×C47#12012yes—
262C2×C4×C47C22⋊Q814yes—
263C2×C4×C47C22⋊Q814yes—
264C2×C4×C47#12312yes—
265C2×C4×C47C23×C411yescharacteristic
266C2×C4×C47C22×D411yescharacteristic
267C2×C4×C47C22×D411yescharacteristic
268C2×C4×C47C22×Q811yescharacteristic
269C2×C4×C47C2×#4111yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—28no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—42no—
285C2×Dic47—84no—
286C2×Dic47C2×C4⋊C412yes—
287C2×Dic47C2×C4⋊C412yes—
288C4×D47—22no—
289C4×D47—22no—
290C4×D47—22no—
291C4×D47—22no—
292C4×D47—22no—
293C4×D47—22no—
294C4×D47—22no—
295C4×D47—22no—
296C4×D47—28no—
297C4×D47—28no—
298C4×D47—48no—
299C4×D47—48no—
300C8×C47—24no—
301C47⋊C8—24no—
302#20846—471nomaximal, Sylow
303C22×C47—22no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—22no—
307C22×C47—22no—
308C22×C47—22no—
309C22×C47#38514yes—
310C22×C47C22×C4⋊C411yescharacteristic
311C22×C47C2×#12011yescharacteristic
312C22×C47C2×#12311yescharacteristic
313C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C47C2×#13711yescharacteristic
315C22×C47#57511yescharacteristic
316C22×C47#57511yescharacteristic
317C2×D47—22no—
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—22no—
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47—22no—
326C2×D47—416no—
327C2×D47—41no—
328C2×D47—41no—
329C2×D47—41no—
330C2×D47—41no—
331C2×D47#42814yescomplemented
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—82no—
335C4×C47#38514yes—
336C4×C47C2×C4×D411yescharacteristic
337C4×C47C2×C4×D411yescharacteristic
338C4×C47C2×C22⋊Q811yescharacteristic
339C4×C47C2×C22⋊Q811yescharacteristic
340Dic47—22no—
341Dic47—22no—
342Dic47—42no—
343Dic47—42no—
344Dic47—82no—
345C22×#117—471no—
346C2×#428—471no—
347C2×#428—471no—
348C2×#407—471no—
349C2×#380—471no—
350#1854—472no—
351#1854—472no—
352#1853—472no—
353#1852—472no—
354#1736—471no—
355#1736D4711yescharacteristic, complemented
356C2×C47—24no—
357C2×C47C2×#38511yescharacteristic
358C2×C47C2×#42811yescharacteristic
359C2×C47#291111yescharacteristic
360C2×C47#300611yescharacteristic
361C2×C47#300711yescharacteristic
362C2×C47#309411yescharacteristic
363C2×C47#309511yescharacteristic
364D47—24no—
365D47—42no—
366C24×C4—471no—
367C22×M16—471no—
368C22×M16C2×D4711yescharacteristic
369C2×#117—471no—
370C2×#117—471no—
371C2×#117—471no—
372C2×#117—941no—
373C2×#117—941no—
374C2×#117—944no—
375C2×#117—944no—
376C2×#117C2×D4711yescharacteristic
377C22×C4⋊C4—471no—
378C22×C4⋊C4—471no—
379C22×C4⋊C4—471no—
380C22×C4⋊C4C2×D4711yescharacteristic
381C22×C22⋊C4—941no—
382C22×C22⋊C4—941no—
383C22×C42—941no—
384#428—944no—
385#428—944no—
386C2×#107—472no—
387C2×#107—472no—
388C2×#106—472no—
389C2×#106—472no—
390#407—478no—
391C2×C22⋊C8—472no—
392C2×C22⋊C8—472no—
393#380—472no—
394#380—472no—
395#380—941no—
396#380—941no—
397C2×#95—941no—
398#340—472no—
399#340—472no—
400#340C2×D4712yescomplemented
401#340C2×D4712yescomplemented
402C47#2084611yescharacteristic, complemented, Sylow
403C25—471no—
404C23×C4—21no—
405C23×C4—471no—
406C23×C4—474no—
407C23×C4—471no—
408C23×C4—471no—
409C23×C4—474no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4—941no—
413C23×C4—941no—
414C23×C4—942no—
415C23×C4—942no—
416C23×C4—942no—
417C23×C4—942no—
418C23×C4—941no—
419C23×C4C22×D4711yescharacteristic
420C2×M16—22no—
421C2×M16—22no—
422C2×M16—474no—
423C2×M16—942no—
424C2×M16—942no—
425C2×M16C4×D4714yescomplemented
426C22×C8—472no—
427C22×C8C22×D4712yes—
428#117—22no—
429#117—474no—
430#117—948no—
431#117—948no—
432#117—942no—
433#117—942no—
434#117—942no—
435#117—942no—
436#117—942no—
437#117D18814yes—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—472no—
444C2×C4⋊C4—942no—
445C2×C4⋊C4—942no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4—941no—
448C2×C4⋊C4—942no—
449C2×C4⋊C4—942no—
450C2×C4⋊C4—942no—
451C2×C4⋊C4—942no—
452C2×C4⋊C4—941no—
453C2×C4⋊C4C22×D4712yes—
454C2×C4⋊C4C22×D4711yescharacteristic
455C2×C4⋊C4C22×D4711yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—948no—
458C2×C22⋊C4—941no—
459C2×C22⋊C4—941no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—942no—
462C2×C22⋊C4—942no—
463C2×C22⋊C4—1884no—
464C2×C42—21no—
465C2×C42—948no—
466C2×C42—941no—
467C2×C42—941no—
468C2×C42—941no—
469#107—944no—
470#107—944no—
471#106—944no—
472#106—944no—
473C22⋊C8—478no—
474C22⋊C8—478no—
475#95—942no—
476#95—942no—
477C24—471no—
478C24—471no—
479C24—474no—
480C24—942no—
481C24—942no—
482C24—942no—
483C24—942no—
484C24—1881no—
485C24—1881no—
486C24D4×D4711yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—474no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—472no—
499C22×C4—472no—
500C22×C4—472no—
501C22×C4—472no—
502C22×C4—944no—
503C22×C4—944no—
504C22×C4—942no—
505C22×C4—942no—
506C22×C4—948no—
507C22×C4—948no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—948no—
511C22×C4—948no—
512C22×C4—942no—
513C22×C4—942no—
514C22×C4—941no—
515C22×C4—941no—
516C22×C4—941no—
517C22×C4—941no—
518C22×C4—941no—
519C22×C4—941no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4—942no—
525C22×C4—1882no—
526C22×C4—1882no—
527C22×C4—1882no—
528C22×C4—1882no—
529C22×C4—1882no—
530C22×C4—1882no—
531C22×C4—1882no—
532C22×C4C2×C4×D4712yes—
533C22×C4C2×D18812yes—
534C22×C4#1062535012yes—
535C22×C4D4×D4711yescharacteristic
536C22×C4D4×D4712yes—
537C22×C4#1062535212yes—
538C22×C4Q8×D4712yes—
539C22×C4C23×D4711yescharacteristic
540M16—28no—
541M16—948no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—474no—
545C2×C8—942no—
546C2×C8—942no—
547C2×C8C2×C4×D4714yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—472no—
554C4⋊C4—472no—
555C4⋊C4—944no—
556C4⋊C4—944no—
557C4⋊C4—941no—
558C4⋊C4—941no—
559C4⋊C4—942no—
560C4⋊C4—942no—
561C4⋊C4—1882no—
562C4⋊C4C2×D18812yes—
563C4⋊C4C2×D18812yes—
564C22⋊C4—24no—
565C22⋊C4—944no—
566C22⋊C4—944no—
567C22⋊C4—944no—
568C22⋊C4—1884no—
569C22⋊C4—1884no—
570C42—24no—
571C42—944no—
572C42—944no—
573C42—944no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—472no—
579C23—472no—
580C23—472no—
581C23—472no—
582C23—948no—
583C23—941no—
584C23—941no—
585C23—941no—
586C23—941no—
587C23—948no—
588C23—941no—
589C23—941no—
590C23—941no—
591C23—941no—
592C23—941no—
593C23—941no—
594C23—1884no—
595C23—1884no—
596C23—1884no—
597C23—1884no—
598C23—1884no—
599C23C4⋊C4×D4712yes—
600C23#1309399412yes—
601C23#1309400612yes—
602C23C2×D4×D4711yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—472no—
614C2×C4—472no—
615C2×C4—948no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—948no—
621C2×C4—948no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—3764no—
633C2×C4—1888no—
634C2×C4—1888no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4—1882no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4C4⋊C4×D4712yes—
643C2×C4(C22⋊D47)⋊C414yes—
644C2×C4C4×D18814yes—
645C2×C4#1309399412yes—
646C2×C4#1309400214yes—
647C2×C4#1309400414yes—
648C2×C4#1309400612yes—
649C2×C4C22×C4×D4711yescharacteristic
650C2×C4C2×D4×D4711yescharacteristic
651C2×C4C22×D18811yescharacteristic
652C2×C4C2×Q8×D4711yescharacteristic
653C2×C4C2×#1062535211yescharacteristic
654C2×C4C2×#1062535011yescharacteristic
655C8—24no—
656C8—944no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—474no—
664C22—942no—
665C22—942no—
666C22—942no—
667C22—942no—
668C22—942no—
669C22—942no—
670C22—942no—
671C22—942no—
672C22—942no—
673C22—18816no—
674C22—1881no—
675C22—1881no—
676C22—1881no—
677C22—1881no—
678C22#1568899714yes—
679C22C2×C4⋊C4×D4711yescharacteristic
680C22C2×#1309399411yescharacteristic
681C22C2×#1309400611yescharacteristic
682C22AGL(1,ℤ/8)×D4711yescharacteristic
683C22#137×D4711yescharacteristic
684C22#1568991911yescharacteristic
685C22#1568992211yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—942no—
690C4—942no—
691C4—3762no—
692C4—1882no—
693C4—1882no—
694C4#1568899714yes—
695C4C2×(C22⋊D47)⋊C411yescharacteristic
696C4C2×C4×D18811yescharacteristic
697C4C2×#1309400211yescharacteristic
698C4C2×#1309400411yescharacteristic
699C2—24no—
700C2—944no—
701C2—1882no—
702C2C2×#1568899711yescharacteristic
703C2#428×D4711yescharacteristic
704C2#2025197511yescharacteristic
705C2#2025264111yescharacteristic
706C2#2025264911yescharacteristic
707C2#2025332611yescharacteristic
708C2#2025333411yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1736C2
socleC23×C47C22×D4
prime radicalC24×D47D4
cosocleC22×C4×C47C24
hypercenter#1736D47
hypocenterC47#20846
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
2. C2×#15689166C2semidirect
3. C2×#15689165C2semidirect
6. #20243590C2semidirect
7. #20243588C2semidirect
8. #20243582C2semidirect
9. #20243577C2semidirect
10. #20243107C2semidirect
11. C47×#1736C2semidirect
29. C2×#13093958C22semidirect
30. C2×#13093957C22semidirect
31. C2×#13093956C22semidirect
32. C2×#13093955C22semidirect
33. #15689086C4semidirect
41. #15688885C22semidirect
42. #15688885C22semidirect
46. C47×#340C22semidirect
47. C47×#340C22semidirect
65. C2×#10625329C2×C4semidirect
102. (C2×D47)⋊C8C2×C4semidirect
103. (C2×D47)⋊C8C2×C4semidirect
110. C2×M16×C47C2×C4semidirect
331. C2×D47#428semidirect
355. #1736D47semidirect
400. #340C2×D47semidirect
401. #340C2×D47semidirect
402. C47#20846semidirect
425. C2×M16C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D472
C2×#156891662
C2×#156891652
C2×#156890862
C2×#156889802
#202435902
#202435882
#202435822
#202435772
#202431072
C47×#17362
#2084647