Finite Group Databasebeta

← #26220474

Subgroups — #26220474

Order 12032.

860 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689185C211yesmaximal, characteristic, complemented
2#20245831C211yesmaximal, characteristic
3#20244184C211yesmaximal, characteristic
4#20244180C211yesmaximal, characteristic
5#20244108C211yesmaximal, characteristic, complemented
6#20244103C211yesmaximal, characteristic, complemented
7#20244004C211yesmaximal, characteristic, complemented
8#20244000C211yesmaximal, characteristic, complemented
9#20243997C211yesmaximal, characteristic, complemented
10#20243993C211yesmaximal, characteristic, complemented
11#20243248C211yesmaximal, characteristic, complemented
12#20243157C211yesmaximal, characteristic, complemented
13C4×C22⋊(C47⋊C8)C211yesmaximal, characteristic, complemented
14#20243076C211yesmaximal, characteristic, complemented
15C2×C47×#432C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D47C2211yescharacteristic
17C2×#13093981C2211yescharacteristic
18#15689185—24no—
19C2×Dic47⋊C8C2211yescharacteristic
20C2×Dic47⋊C8C2211yescharacteristic
21C2×Dic47⋊C8C2211yescharacteristic
22C2×Dic47⋊C8C2211yescharacteristic
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24C2×C22⋊(C47⋊C8)C2211yescharacteristic
25C2×(C2×D47)⋊C8C2211yescharacteristic
26C2×(C2×D47)⋊C8C2211yescharacteristic
27C2×(C2×D47)⋊C8C2211yescharacteristic
28C2×(C2×D47)⋊C8C2211yescharacteristic
29C2×#13093934C2211yescharacteristic
30C2×#13093934C2211yescharacteristic
31C2×C4×C47⋊C8C2211yescharacteristic
32C2×C4×C47⋊C8C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34C2×C8×Dic47C2211yescharacteristic
35#15689014C411yescharacteristic
36#15689014C411yescharacteristic
37#15689007C411yescharacteristic
38#15689007C411yescharacteristic
39#15689002C411yescharacteristic
40#15689002C411yescharacteristic
41#15688996C411yescharacteristic
42#15688996C411yescharacteristic
43C4×Dic47⋊C4C2211yescharacteristic
44C4×(C2×D47)⋊C4C2211yescharacteristic
45C4×C22⋊Dic47C2211yescharacteristic
46#15688969C2211yescharacteristic
47#15688878C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53C22×C42×C47C2211yescharacteristic
54C47×#432—24no—
55C2×C4⋊C8×C47C2211yescharacteristic
56C2×C4⋊C8×C47C2211yescharacteristic
57C2×C22⋊C8×C47C2211yescharacteristic
58C2×C22⋊C8×C47C2211yescharacteristic
59C2×#97×C47C2211yescharacteristic
60C2×#97×C47C2211yescharacteristic
61C22×C22⋊D47C2×C411yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C22×C47⋊C8C2311yescharacteristic
64C22×C47⋊C8C2311yescharacteristic
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C4×C22⋊D47—22no—
68C4×C22⋊D47—22no—
69#13093981—22no—
70#13093981—22no—
71C2×Dic47⋊C4C2×C411yescharacteristic
72C2×Dic47⋊C4C2×C411yescharacteristic
73C2×Dic47⋊C4C2×C411yescharacteristic
74C2×Dic47⋊C4C2×C411yescharacteristic
75C2×Dic47⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic47C2×C411yescharacteristic
77C2×C22⋊Dic47C2×C411yescharacteristic
78C2×C22⋊Dic47C2×C411yescharacteristic
79C2×(C2×D47)⋊C4C2×C411yescharacteristic
80C2×(C2×D47)⋊C4C2×C411yescharacteristic
81C2×(C2×D47)⋊C4C2×C411yescharacteristic
82C2×(C2×D47)⋊C4C2×C411yescharacteristic
83C2×(C2×D47)⋊C4C2×C411yescharacteristic
84C2×C4×Dic47C2311yescharacteristic
85C2×C4×Dic47C2311yescharacteristic
86C2×C4×Dic47C2311yescharacteristic
87Dic47⋊C8—22no—
88Dic47⋊C8—22no—
89Dic47⋊C8—22no—
90Dic47⋊C8—22no—
91C22⋊(C47⋊C8)—22no—
92C22⋊(C47⋊C8)—22no—
93(C2×D47)⋊C8—22no—
94(C2×D47)⋊C8—22no—
95(C2×D47)⋊C8—22no—
96(C2×D47)⋊C8—22no—
97#13093934—22no—
98#13093934—22no—
99C4×C47⋊C8—22no—
100C4×C47⋊C8—22no—
101C8×Dic47—22no—
102C8×Dic47—22no—
103C47⋊#95C2×C411yescharacteristic
104C47⋊#95C2×C411yescharacteristic
105C47⋊#95C2×C411yescharacteristic
106C47⋊#95C2×C411yescharacteristic
107C47⋊#95C2×C411yescharacteristic
108C47⋊#95C2×C411yescharacteristic
109C47⋊#95C2×C411yescharacteristic
110C47⋊#95C2×C411yescharacteristic
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C23×C4×C47C2×C411yescharacteristic
114C23×C4×C47C2×C411yescharacteristic
115C23×C4×C47C2311yescharacteristic
116C22×C8×C47C2311yescharacteristic
117C22×C8×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C22×C8×C47C2311yescharacteristic
120C2×C42×C47—22no—
121C2×C42×C47—22no—
122C2×C42×C47C2×C411yescharacteristic
123C2×C42×C47C2×C411yescharacteristic
124C2×C42×C47C2311yescharacteristic
125C2×C42×C47C2311yescharacteristic
126C4⋊C8×C47—22no—
127C4⋊C8×C47—22no—
128C22⋊C8×C47—22no—
129C22⋊C8×C47—22no—
130#97×C47—22no—
131#97×C47D414yescomplemented
132C24×C47C22×C411yescharacteristic
133C23×D47C22×C411yescharacteristic
134C22×C4×C47—22no—
135C22×C4×C47—22no—
136C22×C4×C47—22no—
137C22×C4×C47—22no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—41no—
145C22×C4×C47—41no—
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C2411yescharacteristic
152C2×C22⋊D47—22no—
153C2×C22⋊D47—22no—
154C2×C22⋊D47—41no—
155C22×Dic47C22×C411yescharacteristic
156C22×Dic47C22×C411yescharacteristic
157C22×Dic47C22×C411yescharacteristic
158C22×Dic47C22×C411yescharacteristic
159C22×Dic47C22×C411yescharacteristic
160C22×Dic47C22×C411yescharacteristic
161C22×Dic47C22×C411yescharacteristic
162C2×C4×D47—21no—
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—21no—
166C2×C4×D47—21no—
167C2×C4×D47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47C2×D412yes—
179C2×C8×C47C2×D412yes—
180C42×C47—22no—
181C42×C47—22no—
182C42×C47—21no—
183C42×C47—21no—
184C42×C47C2×D412yes—
185C42×C47#4112yes—
186C22⋊Dic47—22no—
187C22⋊Dic47—22no—
188C22⋊Dic47—41no—
189(C2×D47)⋊C4—22no—
190(C2×D47)⋊C4—22no—
191(C2×D47)⋊C4—22no—
192(C2×D47)⋊C4—22no—
193(C2×D47)⋊C4—41no—
194Dic47⋊C4—22no—
195Dic47⋊C4—22no—
196Dic47⋊C4—22no—
197Dic47⋊C4—22no—
198Dic47⋊C4—41no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—21no—
202C4×Dic47—21no—
203C4×Dic47#4112yes—
204C4×Dic47#4112yes—
205C2×C47⋊C8—21no—
206C2×C47⋊C8—21no—
207C2×C47⋊C8—21no—
208C2×C47⋊C8—21no—
209C2×C47⋊C8—21no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8#4112yes—
216C2×C47⋊C8#4112yes—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47#13112yes—
224C23×C47C23×C411yescharacteristic
225C22×D47—21no—
226C22×D47—21no—
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—44no—
245C2×C4×C47—44no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47C4×D412yes—
251C2×C4×C47C4×D412yes—
252C2×C4×C47#13112yes—
253C2×C4×C47C22×D411yescharacteristic
254C2×C4×C47C2×#4111yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×C4×C47C2×#4111yescharacteristic
259C22⋊D47—44no—
260C2×Dic47—21no—
261C2×Dic47—21no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47#11712yes—
280C2×Dic47#11712yes—
281C4×D47—41no—
282C4×D47—41no—
283C4×D47—41no—
284C4×D47—41no—
285C8×C47—22no—
286C8×C47—22no—
287C8×C47—41no—
288C8×C47—41no—
289C47⋊C8—22no—
290C47⋊C8—22no—
291C47⋊C8—41no—
292C47⋊C8—41no—
293#21273—471nomaximal, Sylow
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—22no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47C2×#11711yescharacteristic
302C22×C47C2×C4×D411yescharacteristic
303C22×C47C4×#4111yescharacteristic
304C22×C47C2×#13111yescharacteristic
305C22×C47C2×#13111yescharacteristic
306C22×C47#56811yescharacteristic
307C22×C47#56811yescharacteristic
308C2×D47—41no—
309C2×D47—41no—
310C2×D47—41no—
311C2×D47—41no—
312C2×D47—41no—
313C2×D47—41no—
314C2×D47—41no—
315C4×C47—22no—
316C4×C47—22no—
317C4×C47—22no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47#52911yescharacteristic
321C4×C47#52911yescharacteristic
322C4×C47#53211yescharacteristic
323C4×C47#53211yescharacteristic
324Dic47—22no—
325Dic47—22no—
326Dic47—41no—
327Dic47—41no—
328Dic47—41no—
329Dic47—41no—
330Dic47—41no—
331C2×#433—471no—
332C2×#432D4711yescharacteristic, complemented
333#2290—471no—
334#1955—471no—
335#1954—471no—
336#1940—471no—
337#1939—471no—
338#1924—471no—
339#1924—471no—
340#1923—471no—
341#1923—471no—
342#1768—471no—
343#1750—471no—
344C4×C22⋊C8—471no—
345#1726—471no—
346C2×C47—42no—
347C2×C47#229311yescharacteristic
348C2×C47#292411yescharacteristic
349C2×C47#292511yescharacteristic
350C2×C47#293311yescharacteristic
351C2×C47#293311yescharacteristic
352C2×C47#296611yescharacteristic
353C2×C47#296711yescharacteristic
354D47—81no—
355C2×C4×D4—471no—
356C2×#117—471no—
357C22×C42C2×D4711yescharacteristic
358#433—944no—
359#432—24no—
360C2×C4⋊C8—471no—
361C2×C4⋊C8—471no—
362C2×C4⋊C8—471no—
363C2×C4⋊C8—471no—
364C2×C4⋊C8C2×D4711yescharacteristic
365C2×C4⋊C8C2×D4711yescharacteristic
366C2×C22⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—471no—
369C2×C22⋊C8—471no—
370C2×C22⋊C8—471no—
371C2×C22⋊C8—471no—
372C2×C22⋊C8C2×D4711yescharacteristic
373C2×C22⋊C8C2×D4711yescharacteristic
374C2×#97—471no—
375C2×#97—471no—
376C2×#97C2×D4711yescharacteristic
377C2×#97C2×D4711yescharacteristic
378C2×C4×C8—471no—
379C2×C4×C8—471no—
380C2×C4×C8—471no—
381C2×C4×C8—471no—
382#388—471no—
383#388—471no—
384#387—471no—
385#387—471no—
386#386—471no—
387#386—471no—
388#385—471no—
389#385—471no—
390C4×C4⋊C4—471no—
391C4×C22⋊C4—471no—
392C4×C22⋊C4—471no—
393#376—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336—471no—
399#336—471no—
400C47#2127311yescharacteristic, complemented, Sylow
401C22×D4—471no—
402C23×C4—471no—
403C23×C4C4×D4711yescharacteristic
404C23×C4C4×D4711yescharacteristic
405C23×C4C22×D4711yescharacteristic
406C22×C8—471no—
407C22×C8—471no—
408C22×C8—471no—
409C22×C8—471no—
410C22×C8C22×D4711yescharacteristic
411C22×C8C22×D4711yescharacteristic
412C22×C8C22×D4711yescharacteristic
413C22×C8C22×D4711yescharacteristic
414C4×D4—942no—
415C4×D4—942no—
416#117—942no—
417#117—942no—
418C2×C4⋊C4—471no—
419C2×C4⋊C4—471no—
420C2×C4⋊C4—471no—
421C2×C4⋊C4—471no—
422C2×C4⋊C4—471no—
423C2×C22⋊C4—471no—
424C2×C22⋊C4—471no—
425C2×C22⋊C4—471no—
426C2×C22⋊C4—471no—
427C2×C22⋊C4—471no—
428C2×C22⋊C4—471no—
429C2×C22⋊C4—471no—
430C2×C22⋊C4—471no—
431C2×C42—22no—
432C2×C42—22no—
433C2×C42—471no—
434C2×C42—471no—
435C2×C42—471no—
436C2×C42C4×D4711yescharacteristic
437C2×C42C4×D4711yescharacteristic
438C2×C42C22×D4711yescharacteristic
439C2×C42C22×D4711yescharacteristic
440C4⋊C8—22no—
441C4⋊C8—22no—
442C4⋊C8—942no—
443C4⋊C8—942no—
444C4⋊C8—942no—
445C4⋊C8—942no—
446C22⋊C8—22no—
447C22⋊C8—22no—
448C22⋊C8—942no—
449C22⋊C8—942no—
450C22⋊C8—942no—
451C22⋊C8—942no—
452C22⋊C8—942no—
453C22⋊C8—942no—
454#97—22no—
455#97—942no—
456#97—942no—
457#97C22⋊D4714yescomplemented
458C4×C8—942no—
459C4×C8—942no—
460C4×C8—942no—
461C4×C8—942no—
462#95—471no—
463#95—471no—
464#95—471no—
465#95—471no—
466#95—471no—
467#95—471no—
468#95—471no—
469#95—471no—
470#95—471no—
471#95—471no—
472C24—471no—
473C24C2×C4×D4711yescharacteristic
474C2×D4—942no—
475C2×D4—942no—
476C2×D4—1881no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—471no—
490C22×C4—471no—
491C22×C4—471no—
492C22×C4—471no—
493C22×C4—471no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—941no—
499C22×C4—941no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4C2×C4×D4711yescharacteristic
503C22×C4C2×C4×D4711yescharacteristic
504C22×C4C2×C4×D4711yescharacteristic
505C22×C4C2×C4×D4711yescharacteristic
506C22×C4C2×C4×D4711yescharacteristic
507C22×C4C23×D4711yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—472no—
519C2×C8—472no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8—941no—
523C2×C8—941no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8C2×C22⋊D4712yes—
531C2×C8C2×C22⋊D4712yes—
532C4⋊C4—942no—
533C4⋊C4—942no—
534C4⋊C4—942no—
535C4⋊C4—942no—
536C4⋊C4—1881no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C22⋊C4—942no—
542C22⋊C4—942no—
543C22⋊C4—1881no—
544C22⋊C4—1881no—
545C42—22no—
546C42—22no—
547C42—21no—
548C42—21no—
549C42—472no—
550C42—472no—
551C42—941no—
552C42—941no—
553C42—941no—
554C42—941no—
555C42#1062535012yes—
556C42C2×C22⋊D4712yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—941no—
564C23—941no—
565C23—941no—
566C23—941no—
567C23—941no—
568C23—941no—
569C23—941no—
570C23#1309403212yes—
571C23C22×C4×D4711yescharacteristic
572D4—1884no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—472no—
592C2×C4—472no—
593C2×C4—941no—
594C2×C4—941no—
595C2×C4—941no—
596C2×C4—941no—
597C2×C4—941no—
598C2×C4—941no—
599C2×C4—941no—
600C2×C4—941no—
601C2×C4—941no—
602C2×C4—941no—
603C2×C4—941no—
604C2×C4—941no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—941no—
610C2×C4—941no—
611C2×C4—941no—
612C2×C4—1881no—
613C2×C4—1881no—
614C2×C4—1881no—
615C2×C4—1881no—
616C2×C4C4×C22⋊D4712yes—
617C2×C4C4×C22⋊D4712yes—
618C2×C4#1309403212yes—
619C2×C4C22×C22⋊D4711yescharacteristic
620C2×C4#41×D4711yescharacteristic
621C2×C4#41×D4711yescharacteristic
622C2×C4#41×D4711yescharacteristic
623C2×C4#41×D4711yescharacteristic
624C2×C4C2×#1062535011yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C8—942no—
630C8—942no—
631C8—1881no—
632C8—1881no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—1881no—
641C22—1881no—
642C22—1881no—
643C22—1881no—
644C22—1881no—
645C22—1881no—
646C22—1881no—
647C22#117×D4711yescharacteristic
648C22C2×C4×C22⋊D4711yescharacteristic
649C22#1568959111yescharacteristic
650C22C2×#1309403211yescharacteristic
651C22C2×#1309403211yescharacteristic
652C22#1568988911yescharacteristic
653C22#1568988911yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—942no—
660C4—942no—
661C4—1881no—
662C4—1881no—
663C4—1881no—
664C4—1881no—
665C4—1881no—
666C4#1568965111yescharacteristic
667C4#1568965111yescharacteristic
668C4#1568966911yescharacteristic
669C4#1568966911yescharacteristic
670C2—42no—
671C2—3761no—
672C2#2024584711yescharacteristic
673C2#2025204711yescharacteristic
674C2#2025205511yescharacteristic
675C2#2025211311yescharacteristic
676C2#2025211311yescharacteristic
677C2#2025235711yescharacteristic
678C2#2025236811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC2×C47×#432C2
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×#432D47
hypocenterC47#21273
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×#432

Complements

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

NH ≅ G/Ntype
1. C2×#15689185C2semidirect
5. #20244108C2semidirect
6. #20244103C2semidirect
7. #20244004C2semidirect
8. #20244000C2semidirect
9. #20243997C2semidirect
10. #20243993C2semidirect
11. #20243248C2semidirect
12. #20243157C2semidirect
13. C4×C22⋊(C47⋊C8)C2semidirect
14. #20243076C2semidirect
15. C2×C47×#432C2semidirect
131. #97×C47D4semidirect
332. C2×#432D47semidirect
400. C47#21273semidirect
457. #97C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156891852
#202458312
#202441842
#202441802
#202441082
#202441032
#202440042
#202440002
#202439972
#202439932
#202432482
#202431572
C4×C22⋊(C47⋊C8)2
#202430762
C2×C47×#4322
#2127347