Finite Group Databasebeta

← #26222762

Subgroups — #26222762

Order 12032.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689349C211yesmaximal, characteristic
2C2×SD16×Dic47C211yesmaximal, characteristic, complemented
3C2×C4×C8×D47C211yesmaximal, characteristic, complemented
4#20245926C211yesmaximal, characteristic, complemented
5#20245904C211yesmaximal, characteristic
6#20244116C211yesmaximal, characteristic, complemented
7#20244074C211yesmaximal, characteristic, complemented
8#20244067C211yesmaximal, characteristic, complemented
9#20243813C211yesmaximal, characteristic
10#20243808C211yesmaximal, characteristic, complemented
11#20243410C211yesmaximal, characteristic, complemented
12#106×Dic47C211yesmaximal, characteristic, complemented
13#103×Dic47C211yesmaximal, characteristic, complemented
14#102×Dic47C211yesmaximal, characteristic, complemented
15C47×#1968C211yesmaximal, characteristic, complemented
16C22×C8×D47C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C2×#13094000C2211yescharacteristic
19C2×#13093995C2211yescharacteristic
20C2×Q8×Dic47C2211yescharacteristic
21C2×D4×Dic47C2211yescharacteristic
22C2×(C22⋊D47)⋊C4—21no—
23C2×C42×D47C2211yescharacteristic
24#15689349C418yescomplemented
25SD16×Dic47—24no—
26C2×#13093956C2211yescharacteristic
27C2×#13093956C2211yescharacteristic
28C2×#13093948C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×C4×C47⋊C8C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34C2×C8×Dic47C2211yescharacteristic
35C4×C8×D47—24no—
36#15689021C2211yescharacteristic
37#15689021C2211yescharacteristic
38#15689017—21no—
39#15689010—21no—
40#15688999—21no—
41#15688997—21no—
42#15688980C2211yescharacteristic
43#15688980C2211yescharacteristic
44C4⋊C4×Dic47C2211yescharacteristic
45C4⋊C4×Dic47C2211yescharacteristic
46#15688974—21no—
47C22⋊C4×Dic47—21no—
48#15688970—21no—
49#15688886C2211yescharacteristic
50#15688886C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C22×SD16×C47C2211yescharacteristic
56C2×#106×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C2×#102×C47C2211yescharacteristic
59C2×C4×C8×C47C2211yescharacteristic
60C47×#391C2211yescharacteristic
61C47×#390C2211yescharacteristic
62C22×C22⋊D47—21no—
63C23×Dic47—21no—
64C22×C4×D47D411yescharacteristic
65C22×C4×D47D411yescharacteristic
66C22×C4×D47C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C2×C8×D47—22no—
70C2×C8×D47—22no—
71C2×C8×D47—22no—
72C2×C8×D47—22no—
73C2×C8×D47—22no—
74C2×C8×D47C2×C414yescomplemented
75#13094000—22no—
76#13094000C2×C414yescomplemented
77#13093995—22no—
78#13093995C2×C414yes—
79Q8×Dic47—22no—
80Q8×Dic47—22no—
81D4×Dic47—22no—
82D4×Dic47—22no—
83(C22⋊D47)⋊C4—44no—
84C2×C4⋊Dic47—21no—
85C2×C4⋊Dic47C2311yescharacteristic
86C2×C4⋊Dic47C2311yescharacteristic
87C2×C4⋊Dic47C2311yescharacteristic
88C2×C4⋊Dic47C2311yescharacteristic
89C2×Dic47⋊C4—21no—
90C2×Dic47⋊C4—21no—
91C2×Dic47⋊C4—21no—
92C2×C22⋊Dic47—21no—
93C2×C22⋊Dic47—21no—
94C2×(C2×D47)⋊C4—21no—
95C2×(C2×D47)⋊C4—21no—
96C2×(C2×D47)⋊C4—21no—
97C2×C4×Dic47—21no—
98C2×C4×Dic47—21no—
99C2×C4×Dic47—21no—
100C2×C4×Dic47D411yescharacteristic
101C2×C4×Dic47D411yescharacteristic
102C2×C4×Dic47C2311yescharacteristic
103C42×D47—22no—
104C42×D47—22no—
105#13093956—22no—
106#13093956C2×C414yescomplemented
107#13093948—22no—
108#13093948C2×C414yescomplemented
109#13093945—22no—
110#13093945C2×C414yescomplemented
111C4×C47⋊C8—22no—
112C8×Dic47—22no—
113C8×Dic47D414yescomplemented
114C47⋊#95—21no—
115C47⋊#95—21no—
116C47⋊#95—21no—
117C47⋊#95—21no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C22×Q8×C47C2311yescharacteristic
121C22×D4×C47C2311yescharacteristic
122C2×SD16×C47—22no—
123C2×SD16×C47—22no—
124C2×SD16×C47C2×C414yescomplemented
125C22×C8×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127C2×C4⋊C4×C47C2311yescharacteristic
128C2×C4⋊C4×C47C2311yescharacteristic
129C2×C22⋊C4×C47—21no—
130C2×C22⋊C4×C47—21no—
131C2×C42×C47C2311yescharacteristic
132#106×C47—22no—
133#103×C47—22no—
134#102×C47—22no—
135C4×C8×C47—22no—
136#95×C47—21no—
137#95×C47—21no—
138C24×C47—21no—
139C23×D47C2×D411yescharacteristic
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47C22×C412yes—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47C22×C412yes—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2411yescharacteristic
158C2×C22⋊D47—24no—
159C2×C22⋊D47—42no—
160C2×C22⋊D47—42no—
161C22×Dic47—21no—
162C22×Dic47—21no—
163C22×Dic47—21no—
164C22×Dic47—21no—
165C22×Dic47—42no—
166C22×Dic47—42no—
167C22×Dic47—42no—
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D411yescharacteristic
170C22×Dic47C2×D411yescharacteristic
171C2×C4×D47—22no—
172C2×C4×D47—22no—
173C2×C4×D47—21no—
174C2×C4×D47—21no—
175C2×C4×D47—21no—
176C2×C4×D47—21no—
177C2×C4×D47—22no—
178C2×C4×D47—22no—
179C2×C4×D47—22no—
180C2×C4×D47SD1614yescomplemented
181C2×C4×D47C22×C412yes—
182C2×C4×D47#4112yes—
183SD16×C47—28no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47C22×C412yes—
187C2×C8×C47C2×D412yes—
188C2×C8×C47#4112yes—
189C2×C8×C47#4112yes—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C22⋊C4×C47—42no—
195C22⋊C4×C47—42no—
196C42×C47—21no—
197C42×C47—21no—
198C22⋊Dic47—24no—
199C22⋊Dic47—42no—
200(C2×D47)⋊C4—24no—
201(C2×D47)⋊C4—42no—
202(C2×D47)⋊C4—42no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—42no—
210C4⋊Dic47C22×C412yes—
211C4⋊Dic47C22×C412yes—
212Dic47⋊C4—24no—
213Dic47⋊C4—42no—
214Dic47⋊C4—42no—
215C4×Dic47—22no—
216C4×Dic47—22no—
217C4×Dic47—42no—
218C4×Dic47—42no—
219C4×Dic47—42no—
220C4×Dic47C2×D412yes—
221C4×Dic47#4112yes—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8C22×C412yes—
227C2×C47⋊C8C2×D412yes—
228C8×D47—28no—
229C8×D47—28no—
230C23×C47—22no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47C22×D411yescharacteristic
238C22×D47—21no—
239C22×D47—21no—
240C22×D47—21no—
241C22×D47—21no—
242C22×D47C4×D412yes—
243C22×D47C2×SD1612yes—
244C22×D47#13512yes—
245Q8×C47—22no—
246Q8×C47—22no—
247Q8×C47—41no—
248Q8×C47—41no—
249D4×C47—22no—
250D4×C47—22no—
251D4×C47—41no—
252D4×C47—41no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—22no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47C2×SD1612yes—
267C2×C4×C47#13512yes—
268C2×C4×C47C23×C411yescharacteristic
269C2×C4×C47C22×D411yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×C4×C47C2×#4111yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C22⋊D47—48no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—84no—
292C2×Dic47C4×D412yes—
293C2×Dic47#12112yes—
294C2×Dic47#12112yes—
295C2×Dic47C2×SD1612yes—
296C2×Dic47#13512yes—
297C4×D47—28no—
298C4×D47—22no—
299C4×D47—22no—
300C4×D47—22no—
301C4×D47—22no—
302C4×D47—28no—
303C8×C47—22no—
304C8×C47C4×D414yescomplemented
305C47⋊C8—22no—
306C47⋊C8—22no—
307C4×#465—471nomaximal, Sylow
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×#12111yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47C22×SD1611yescharacteristic
319C22×C47C2×#13511yescharacteristic
320C22×C47C2×#13511yescharacteristic
321C22×C47C2×#13511yescharacteristic
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47—22no—
326C2×D47—22no—
327C2×D47—22no—
328C2×D47C4×SD1614yescomplemented
329C4×C47—22no—
330C4×C47—22no—
331C4×C47—42no—
332C4×C47—81no—
333C4×C47—81no—
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C4×#4111yescharacteristic
336C4×C47#52511yescharacteristic
337C4×C47#52911yescharacteristic
338Dic47—22no—
339Dic47—22no—
340Dic47—42no—
341Dic47—42no—
342Dic47—81no—
343Dic47—81no—
344Dic47#46514yescomplemented
345C2×#465—471no—
346C2×C4×SD16—471no—
347C22×C4×C8—471no—
348C4×C22⋊Q8—471no—
349C4×#121—471no—
350#1968D4711yescharacteristic, complemented
351#1941—471no—
352#1934—471no—
353#1933—471no—
354#1893—471no—
355#1892—471no—
356#1807—471no—
357C4×#106—471no—
358C4×#103—471no—
359C4×#102—471no—
360C2×C47—82no—
361C2×C47C4×#12111yescharacteristic
362C2×C47C2×C4×SD1611yescharacteristic
363C2×C47C4×#13511yescharacteristic
364C2×C47C2×#46511yescharacteristic
365C2×C47#305011yescharacteristic
366C2×C47#316711yescharacteristic
367C2×C47#316811yescharacteristic
368D47—24no—
369C22×SD16C2×D4711yescharacteristic
370C23×C8—471no—
371C23×C8—471no—
372C2×C22⋊Q8—471no—
373C2×#121—471no—
374C2×C4×Q8—471no—
375C2×C4×D4—471no—
376C2×C4×D4—941no—
377C22×C42—471no—
378#465—478no—
379C4×SD16—944no—
380C2×#106—471no—
381C2×#106—471no—
382C2×#106C2×D4711yescharacteristic
383C2×#103—471no—
384C2×#103—471no—
385C2×#103C2×D4711yescharacteristic
386C2×#102—471no—
387C2×#102—471no—
388C2×#102C2×D4711yescharacteristic
389C2×C4×C8—471no—
390C2×C4×C8—471no—
391C2×C4×C8—471no—
392C2×C4×C8—944no—
393C2×C4×C8C2×D4711yescharacteristic
394#391C2×D4711yescharacteristic
395#390C2×D4711yescharacteristic
396#389—471no—
397#389—471no—
398#388—941no—
399#387—941no—
400#386—941no—
401#385—941no—
402#380—471no—
403#380—471no—
404C4×C4⋊C4—471no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—941no—
407C4×C22⋊C4—941no—
408C4×C22⋊C4—941no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415C47C4×#46511yescharacteristic, complemented, Sylow
416C22×Q8C22×D4711yescharacteristic
417C22×D4—941no—
418C22×D4C22×D4711yescharacteristic
419C23×C4—471no—
420C23×C4—471no—
421C23×C4—471no—
422C23×C4—941no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16C4×D4714yescomplemented
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—474no—
429C22×C8—942no—
430C22×C8—942no—
431C22×C8—942no—
432C22×C8—942no—
433C22×C8—942no—
434C22×C8C22×D4711yescharacteristic
435C22×C8C22×D4711yescharacteristic
436C22⋊Q8—474no—
437C22⋊Q8—942no—
438#121—474no—
439#121—942no—
440C4×Q8—942no—
441C4×Q8—942no—
442C4×D4—942no—
443C4×D4—942no—
444C4×D4—1884no—
445C2×C4⋊C4—471no—
446C2×C4⋊C4—471no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—941no—
450C2×C4⋊C4—941no—
451C2×C4⋊C4—941no—
452C2×C4⋊C4—941no—
453C2×C4⋊C4C22×D4711yescharacteristic
454C2×C4⋊C4C22×D4711yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4—941no—
459C2×C22⋊C4—941no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—941no—
462C2×C42—471no—
463C2×C42—471no—
464C2×C42—471no—
465C2×C42—942no—
466C2×C42—942no—
467C2×C42—941no—
468C2×C42—941no—
469C2×C42—941no—
470C2×C42C22×D4711yescharacteristic
471#106—22no—
472#106—474no—
473#106—942no—
474#103—22no—
475#103—474no—
476#103—942no—
477#102—22no—
478#102—474no—
479#102—942no—
480C4×C8—22no—
481C4×C8—474no—
482C4×C8—942no—
483C4×C8—942no—
484#95—21no—
485#95—21no—
486#95—941no—
487#95—941no—
488#95—941no—
489#95—941no—
490#95—941no—
491#95—941no—
492C24—21no—
493C24—471no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4712yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—944no—
506C2×D4—1882no—
507C2×D4—1882no—
508C2×D4C2×C4×D4712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—471no—
513C22×C4—471no—
514C22×C4—471no—
515C22×C4—474no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4—941no—
530C22×C4—941no—
531C22×C4—1882no—
532C22×C4—1882no—
533C22×C4—1882no—
534C22×C4D4×D4711yescharacteristic
535C22×C4D4×D4711yescharacteristic
536C22×C4C23×D4711yescharacteristic
537SD16—28no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—472no—
541C2×C8—472no—
542C2×C8—948no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—948no—
548C2×C8C2×C4×D4712yes—
549C2×C8D4×D4712yes—
550C2×C8#1062535212yes—
551C2×C8#1062535212yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—472no—
557C4⋊C4—472no—
558C4⋊C4—944no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—1882no—
566C4⋊C4—1882no—
567C4⋊C4—1882no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—944no—
571C22⋊C4—944no—
572C22⋊C4—1882no—
573C22⋊C4—1882no—
574C22⋊C4—1882no—
575C42—21no—
576C42—21no—
577C42—472no—
578C42—472no—
579C42—942no—
580C42—942no—
581C42—1882no—
582C42—1882no—
583C42—1882no—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—472no—
592C23—472no—
593C23—472no—
594C23—941no—
595C23—941no—
596C23—941no—
597C23—941no—
598C23C2×D4×D4711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—1888no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—472no—
622C2×C4—472no—
623C2×C4—472no—
624C2×C4—472no—
625C2×C4—472no—
626C2×C4—948no—
627C2×C4—948no—
628C2×C4—941no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—941no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—3764no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4SD16×D4712yes—
650C2×C4#1309404512yes—
651C2×C4C22×C4×D4711yescharacteristic
652C2×C4C2×D4×D4711yescharacteristic
653C2×C4#41×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4C2×#1062535211yescharacteristic
656C2×C4C2×#1062535211yescharacteristic
657C8—22no—
658C8—942no—
659C8—942no—
660C8(C22⋊D47)⋊C414yescomplemented
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—474no—
669C22—942no—
670C22—942no—
671C22—942no—
672C22—942no—
673C22—942no—
674C22—942no—
675C22C4×D4×D4711yescharacteristic
676C22#121×D4711yescharacteristic
677C22#1568967111yescharacteristic
678C22C2×SD16×D4711yescharacteristic
679C22#135×D4711yescharacteristic
680C22#135×D4711yescharacteristic
681C22C2×#1309404511yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—474no—
688C4—942no—
689C4—942no—
690C4—3761no—
691C4—3761no—
692C4—1882no—
693C4—1882no—
694C4C2×(C22⋊D47)⋊C411yescharacteristic
695C4C4×#1062535211yescharacteristic
696C4#1568963311yescharacteristic
697C4#1568965211yescharacteristic
698C2—82no—
699C2—944no—
700C2#2024590411yescharacteristic
701C2C4×SD16×D4711yescharacteristic
702C2C4×#1309404511yescharacteristic
703C2#465×D4711yescharacteristic
704C2#2025296411yescharacteristic
705C2#2025394511yescharacteristic
706C2#2025395511yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1968C2
socleC23×C47C22×D4
prime radicalC2×#13093995C22
cosocleC22×C4×C47C24
hypercenter#1968D47
hypocenterC47C4×#465
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1968

Complements

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

NH ≅ G/Ntype
2. C2×SD16×Dic47C2semidirect
3. C2×C4×C8×D47C2semidirect
4. #20245926C2semidirect
6. #20244116C2semidirect
7. #20244074C2semidirect
8. #20244067C2semidirect
10. #20243808C2semidirect
11. #20243410C2semidirect
12. #106×Dic47C2semidirect
13. #103×Dic47C2semidirect
14. #102×Dic47C2semidirect
15. C47×#1968C2semidirect
24. #15689349C4semidirect
74. C2×C8×D47C2×C4semidirect
76. #13094000C2×C4semidirect
106. #13093956C2×C4semidirect
108. #13093948C2×C4semidirect
110. #13093945C2×C4semidirect
113. C8×Dic47D4semidirect
124. C2×SD16×C47C2×C4semidirect
180. C2×C4×D47SD16semidirect
304. C8×C47C4×D4semidirect
328. C2×D47C4×SD16semidirect
344. Dic47#465semidirect
350. #1968D47semidirect
415. C47C4×#465semidirect
425. C2×SD16C4×D47semidirect
660. C8(C22⋊D47)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#156893492
C2×SD16×Dic472
C2×C4×C8×D472
#202459262
#202459042
#202441162
#202440742
#202440672
#202438132
#202438082
#202434102
#106×Dic472
#103×Dic472
#102×Dic472
C47×#19682
C4×#46547