Finite Group Databasebeta

← #26234497

Subgroups — #26234497

Order 12032.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689201C211yesmaximal, characteristic
2C2×#15689166C211yesmaximal, characteristic, complemented
3C2×#15689163C211yesmaximal, characteristic, complemented
4#20246317C211yesmaximal, characteristic
5#20244156C211yesmaximal, characteristic, complemented
6#20244154C211yesmaximal, characteristic, complemented
7#20243587C211yesmaximal, characteristic, complemented
8#20243585C211yesmaximal, characteristic, complemented
9#20243576C211yesmaximal, characteristic, complemented
10#20243575C211yesmaximal, characteristic, complemented
11#20243550C211yesmaximal, characteristic, complemented
12#20243419C211yesmaximal, characteristic, complemented
13#20243419C211yesmaximal, characteristic, complemented
14C4×#13093957C211yesmaximal, characteristic, complemented
15C47×#2352C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18C2×#13093983C2211yescharacteristic
19C22×C4⋊Dic47C2211yescharacteristic
20#15689201C418yescomplemented
21#15689166—24no—
22#15689163—24no—
23C2×#13093957C2211yescharacteristic
24C2×#13093957C2211yescharacteristic
25C2×#13093957C2211yescharacteristic
26C2×#13093957C2211yescharacteristic
27C2×#13093957C2211yescharacteristic
28C2×#13093957C2211yescharacteristic
29C2×#13093955C2211yescharacteristic
30C2×#13093955C2211yescharacteristic
31C2×#13093955C2211yescharacteristic
32C2×#13093955C2211yescharacteristic
33C2×C4⋊(C47⋊C8)C2211yescharacteristic
34C2×C22⋊(C47⋊C8)C2211yescharacteristic
35C2×C22⋊(C47⋊C8)C2211yescharacteristic
36C2×C4×C47⋊C8C2211yescharacteristic
37#15689016—21no—
38#15689009—21no—
39#15689003—21no—
40#15688989C2211yescharacteristic
41#15688983C2211yescharacteristic
42#15688983C2211yescharacteristic
43C4×C4⋊Dic47C2211yescharacteristic
44C22⋊C4×Dic47—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C2×#117×C47C2211yescharacteristic
53C22×C4⋊C4×C47C2211yescharacteristic
54C47×#388—21no—
55C47×#387—21no—
56C47×#386—21no—
57C47×#382C2211yescharacteristic
58C47×#380C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C4×C4⋊C4×C47C2211yescharacteristic
61C4×C22⋊C4×C47—21no—
62C23×Dic47—21no—
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329—22no—
66C2×#10625329—22no—
67C2×#10625329C2×C414yescomplemented
68C2×#10625329C2×C414yescomplemented
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73#13093983—22no—
74#13093983—41no—
75C2×C4⋊Dic47—22no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47—41no—
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C22⋊Dic47—21no—
83C2×C22⋊Dic47—21no—
84C2×C22⋊Dic47—21no—
85C2×C4×Dic47—21no—
86C2×C4×Dic47—21no—
87#13093957—22no—
88#13093957—22no—
89#13093957—22no—
90#13093957—41no—
91#13093957—41no—
92#13093957D414yescomplemented
93#13093955—22no—
94#13093955—22no—
95#13093955—22no—
96#13093955—22no—
97C4⋊(C47⋊C8)C2×C414yescomplemented
98C22⋊(C47⋊C8)C2×C414yescomplemented
99C22⋊(C47⋊C8)C2×C414yescomplemented
100C4×C47⋊C8C2×C414yescomplemented
101C47⋊#95—21no—
102C47⋊#95—21no—
103C47⋊#95—21no—
104C47⋊#95—21no—
105C47⋊#95—21no—
106C22×D4×C47D411yescharacteristic
107C23×C4×C47—21no—
108C23×C4×C47C2311yescharacteristic
109C23×C4×C47C2311yescharacteristic
110C4×D4×C47C2×C414yes—
111C4×D4×C47Q814yes—
112#117×C47—22no—
113#117×C47—41no—
114C2×C4⋊C4×C47—22no—
115C2×C4⋊C4×C47—21no—
116C2×C4⋊C4×C47—41no—
117C2×C4⋊C4×C47D411yescharacteristic
118C2×C4⋊C4×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47D411yescharacteristic
126C2×C22⋊C4×C47D411yescharacteristic
127C2×C42×C47—21no—
128C2×C42×C47—21no—
129C2×C42×C47C2311yescharacteristic
130#95×C47—21no—
131#95×C47—21no—
132#95×C47—21no—
133#95×C47—21no—
134#95×C47—21no—
135C24×C47C2×D411yescharacteristic
136C24×C47C2×D411yescharacteristic
137C2×D4×C47—41no—
138C2×D4×C47—41no—
139C2×D4×C47C4⋊C414yes—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—42no—
153C22×C4×C47—42no—
154C22×C4×C47—81no—
155C22×C4×C47C22×C412yes—
156C22×C4×C47C22×C412yes—
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×Q812yes—
162C22×C4×C47C2×Q812yes—
163C22×C4×C47C2411yescharacteristic
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47—42no—
169C22×Dic47—42no—
170C22×Dic47—81no—
171C4⋊C4×C47—21no—
172C4⋊C4×C47—21no—
173C4⋊C4×C47—21no—
174C4⋊C4×C47—21no—
175C4⋊C4×C47—21no—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—42no—
179C4⋊C4×C47C4⋊C414yes—
180C4⋊C4×C47C2×D412yes—
181C22⋊C4×C47—42no—
182C22⋊C4×C47—42no—
183C22⋊C4×C47—81no—
184C22⋊C4×C47C4⋊C414yes—
185C22⋊C4×C47C4⋊C414yes—
186C42×C47—42no—
187C42×C47—81no—
188C42×C47C22×C412yes—
189C42×C47C2×Q812yes—
190C22⋊Dic47—42no—
191C22⋊Dic47—42no—
192C22⋊Dic47—81no—
193C4⋊Dic47—21no—
194C4⋊Dic47—21no—
195C4⋊Dic47—21no—
196C4⋊Dic47—21no—
197C4⋊Dic47—21no—
198C4⋊Dic47—21no—
199C4⋊Dic47—21no—
200C4⋊Dic47—42no—
201C4⋊Dic47C2×D412yes—
202C4×Dic47—42no—
203C4×Dic47—81no—
204#10625329—28no—
205#10625329—28no—
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⋊C8C22×C412yes—
213C2×C47⋊C8C22×C412yes—
214C2×C47⋊C8C22×C412yes—
215C2×C47⋊C8C22×C412yes—
216C2×C47⋊C8C2×D412yes—
217C2×C47⋊C8#4112yes—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47C2×C4⋊C412yes—
231C23×C47C2×C4⋊C412yes—
232C23×C47C22×D411yescharacteristic
233D4×C47—44no—
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—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—84no—
263C2×C4×C47C2×C4⋊C412yes—
264C2×C4×C47C2×C4⋊C412yes—
265C2×C4×C47C2×C4⋊C412yes—
266C2×C4×C47C2×C4⋊C412yes—
267C2×C4×C47C23×C411yescharacteristic
268C2×C4×C47C22×D411yescharacteristic
269C2×C4×C47C22×Q811yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×C4×C47H(5,𝔽2)11yescharacteristic
272C2×C4×C472−1+411yescharacteristic
273C2×Dic47—22no—
274C2×Dic47—41no—
275C2×Dic47—41no—
276C2×Dic47—41no—
277C2×Dic47—41no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—84no—
286C47⋊C8—22no—
287C47⋊C8—22no—
288C47⋊C8—22no—
289C47⋊C8C4×D414yes—
290#22664—471nomaximal, Sylow
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—22no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
304C22×C47—41no—
305C22×C47C22×C4⋊C411yescharacteristic
306C22×C47D4211yescharacteristic
307C22×C47#54711yescharacteristic
308C22×C47#57511yescharacteristic
309C22×C47#57511yescharacteristic
310C22×C47#57611yescharacteristic
311C22×C47#57811yescharacteristic
312C4×C47—22no—
313C4×C47—22no—
314C4×C47—22no—
315C4×C47—22no—
316C4×C47—42no—
317C4×C47—81no—
318C4×C47—81no—
319C4×C47—81no—
320C4×C47C2×C4×D411yescharacteristic
321C4×C47#52011yescharacteristic
322C4×C47D4×Q811yescharacteristic
323C4×C47#55411yescharacteristic
324Dic47—42no—
325Dic47—81no—
326Dic47—81no—
327Dic47—81no—
328C2×#436—471no—
329C2×#428—471no—
330C2×#428—471no—
331#2352—471no—
332#2352D4711yescharacteristic
333#1949—471no—
334#1949—471no—
335#1854—471no—
336#1854—471no—
337#1852—471no—
338#1852—471no—
339#1846—471no—
340#1809—471no—
341#1809—471no—
342C4×#107—471no—
343C2×C47—42no—
344C2×C47—42no—
345C2×C47D4×C4⋊C411yescharacteristic
346C2×C47#291111yescharacteristic
347C2×C47#291311yescharacteristic
348C2×C47#327311yescharacteristic
349C2×C47#327711yescharacteristic
350C2×C47#335211yescharacteristic
351C2×C47#335511yescharacteristic
352C22×M16—471no—
353C22×M16—471no—
354C2×C4×D4C2×D4711yescharacteristic
355C2×#117—471no—
356C2×#117C2×D4711yescharacteristic
357C22×C4⋊C4—471no—
358C22×C4⋊C4C2×D4711yescharacteristic
359#436—478no—
360#428—944no—
361#428—944no—
362C2×#107—471no—
363C2×#107—471no—
364C2×#107—471no—
365C2×#107—471no—
366C2×#107—471no—
367C2×#107—471no—
368C2×#106—471no—
369C2×#106—471no—
370C2×#106—471no—
371C2×#106—471no—
372C2×C4⋊C8—471no—
373C2×C22⋊C8—471no—
374C2×C22⋊C8—471no—
375C2×C4×C8—471no—
376#388—21no—
377#388—941no—
378#387—21no—
379#387—941no—
380#386—21no—
381#386—941no—
382#382—471no—
383#382C2×D4711yescharacteristic
384#380—471no—
385#380—471no—
386#380C2×D4711yescharacteristic
387#380C2×D4711yescharacteristic
388C4×C4⋊C4—471no—
389C4×C4⋊C4C2×D4711yescharacteristic
390C4×C22⋊C4—21no—
391C4×C22⋊C4—941no—
392#340—471no—
393#340—471no—
394#340—471no—
395#340—471no—
396#340—471no—
397#340—471no—
398C47#2266411yescharacteristic, complemented, Sylow
399C22×D4C22⋊D4711yescharacteristic
400C23×C4—21no—
401C23×C4—941no—
402C23×C4C22×D4711yescharacteristic
403C23×C4C22×D4711yescharacteristic
404C2×M16—474no—
405C2×M16—474no—
406C2×M16—942no—
407C2×M16—942no—
408C2×M16—942no—
409C2×M16—942no—
410C22×C8—471no—
411C22×C8—471no—
412C22×C8—471no—
413C22×C8—471no—
414C4×D4Dic9414yes—
415C4×D4C4×D4714yes—
416#117—22no—
417#117—41no—
418#117—942no—
419#117—1881no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—471no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—471no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—942no—
428C2×C4⋊C4—941no—
429C2×C4⋊C4—1881no—
430C2×C4⋊C4C22⋊D4711yescharacteristic
431C2×C4⋊C4C22×D4711yescharacteristic
432C2×C4⋊C4C22×D4711yescharacteristic
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C4⋊C4C22×D4711yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—941no—
439C2×C22⋊C4—941no—
440C2×C22⋊C4—941no—
441C2×C22⋊C4C22⋊D4711yescharacteristic
442C2×C22⋊C4C22⋊D4711yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—941no—
446C2×C42—941no—
447C2×C42C22×D4711yescharacteristic
448#107—474no—
449#107—942no—
450#107—942no—
451#107—942no—
452#107—1881no—
453#107—1881no—
454#106—942no—
455#106—942no—
456#106—942no—
457#106—942no—
458C4⋊C8—474no—
459C22⋊C8—474no—
460C22⋊C8—474no—
461C4×C8—474no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—941no—
468#95—941no—
469#95—941no—
470#95—941no—
471#95—941no—
472C24C2×C22⋊D4711yescharacteristic
473C24C2×C22⋊D4711yescharacteristic
474C2×D4—41no—
475C2×D4—41no—
476C2×D4Dic47⋊C414yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—941no—
496C22×C4—3761no—
497C22×C4—1882no—
498C22×C4—1882no—
499C22×C4C2×Dic9412yes—
500C22×C4C2×Dic9412yes—
501C22×C4C2×C4×D4712yes—
502C22×C4C2×C4×D4712yes—
503C22×C4C2×C22⋊D4711yescharacteristic
504C22×C4C2×C22⋊D4711yescharacteristic
505C22×C4C2×C22⋊D4711yescharacteristic
506C22×C4C2×C22⋊D4711yescharacteristic
507C22×C4C23×D4711yescharacteristic
508M16—948no—
509M16—948no—
510C2×C8—472no—
511C2×C8—472no—
512C2×C8—472no—
513C2×C8—472no—
514C2×C8—472no—
515C2×C8—472no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—941no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—472no—
531C4⋊C4—941no—
532C4⋊C4—941no—
533C4⋊C4—941no—
534C4⋊C4—941no—
535C4⋊C4—941no—
536C4⋊C4—941no—
537C4⋊C4—941no—
538C4⋊C4—1882no—
539C4⋊C4Dic47⋊C414yes—
540C4⋊C4D4×D4712yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—3761no—
545C22⋊C4—1882no—
546C22⋊C4—1882no—
547C22⋊C4Dic47⋊C414yes—
548C22⋊C4Dic47⋊C414yes—
549C42—42no—
550C42—81no—
551C42—3761no—
552C42—1882no—
553C42C2×Dic9412yes—
554C42C2×C4×D4712yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23C2×Dic47⋊C412yes—
568C23C2×Dic47⋊C412yes—
569C23C22×C22⋊D4711yescharacteristic
570D4—44no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—942no—
601C2×C4—3764no—
602C2×C4—1881no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1881no—
606C2×C4—1881no—
607C2×C4—1881no—
608C2×C4—1881no—
609C2×C4—1881no—
610C2×C4—1881no—
611C2×C4—1881no—
612C2×C4—1881no—
613C2×C4C2×Dic47⋊C412yes—
614C2×C4C2×Dic47⋊C412yes—
615C2×C4C2×Dic47⋊C412yes—
616C2×C4C2×Dic47⋊C412yes—
617C2×C4C22×C4×D4711yescharacteristic
618C2×C4C2×D4×D4711yescharacteristic
619C2×C4C22×Dic9411yescharacteristic
620C2×C4#41×D4711yescharacteristic
621C2×C4#1309406911yescharacteristic
622C2×C4#1309407111yescharacteristic
623C8—474no—
624C8—942no—
625C8—942no—
626C8—942no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C22×Dic47⋊C411yescharacteristic
642C22D4×C22⋊D4711yescharacteristic
643C22#1568977211yescharacteristic
644C22#1568992111yescharacteristic
645C22#1568992111yescharacteristic
646C22#1568992611yescharacteristic
647C22#1568993811yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—3761no—
657C4—3761no—
658C4—3761no—
659C4—1882no—
660C4C4×D4×D4711yescharacteristic
661C4#1568960211yescharacteristic
662C4D4×Dic9411yescharacteristic
663C4#1568983211yescharacteristic
664C2—42no—
665C2—42no—
666C2D4×Dic47⋊C411yescharacteristic
667C2#2025197711yescharacteristic
668C2#2025198611yescharacteristic
669C2#2025499511yescharacteristic
670C2#2025504111yescharacteristic
671C2#2025595711yescharacteristic
672C2#2025598811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2352C2
socleC23×C47C22×D4
prime radicalC22×D4×C47D4
cosocleC22×C4×C47C24
hypercenter#2352D47
hypocenterC47#22664
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#15689166C2semidirect
3. C2×#15689163C2semidirect
5. #20244156C2semidirect
6. #20244154C2semidirect
7. #20243587C2semidirect
8. #20243585C2semidirect
9. #20243576C2semidirect
10. #20243575C2semidirect
11. #20243550C2semidirect
12. #20243419C2semidirect
13. #20243419C2semidirect
14. C4×#13093957C2semidirect
20. #15689201C4semidirect
67. C2×#10625329C2×C4semidirect
68. C2×#10625329C2×C4semidirect
92. #13093957D4semidirect
97. C4⋊(C47⋊C8)C2×C4semidirect
98. C22⋊(C47⋊C8)C2×C4semidirect
99. C22⋊(C47⋊C8)C2×C4semidirect
100. C4×C47⋊C8C2×C4semidirect
398. C47#22664semidirect

Maximal subgroups

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

subgroupindex
C2×#156892012
C2×#156891662
C2×#156891632
#202463172
#202441562
#202441542
#202435872
#202435852
#202435762
#202435752
#202435502
#202434192
C4×#130939572
C47×#23522
#2266447