Finite Group Databasebeta

← #26223255

Subgroups — #26223255

Order 12032.

930 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×M16×Dic47C211yesmaximal, characteristic, complemented
2C4×#13094005C211yesmaximal, characteristic
3#20243998C211yesmaximal, characteristic, complemented
4#20243991C211yesmaximal, characteristic, complemented
5#20243949C211yesmaximal, characteristic, complemented
6#20243942C211yesmaximal, characteristic, complemented
7#20243686C211yesmaximal, characteristic
8#20243570C211yesmaximal, characteristic, complemented
9#20243454C211yesmaximal, characteristic, complemented
10#20243264C211yesmaximal, characteristic, complemented
11#20243256C211yesmaximal, characteristic, complemented
12#20243169C211yesmaximal, characteristic, complemented
13#20243164C211yesmaximal, characteristic, complemented
14C8×C22⋊Dic47C211yesmaximal, characteristic, complemented
15C2×C47×#435C211yesmaximal, characteristic
16C22×#10625329C2211yescharacteristic
17C2×#13094005C411yescharacteristic
18C22×C4×Dic47C2211yescharacteristic
19C2×Dic47⋊C8C2211yescharacteristic
20C2×Dic47⋊C8C2211yescharacteristic
21C2×C22⋊(C47⋊C8)C2211yescharacteristic
22C2×C22⋊(C47⋊C8)C2211yescharacteristic
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24M16×Dic47—24no—
25C2×#13093934C2211yescharacteristic
26C2×#13093934C2211yescharacteristic
27C2×#13093934C2211yescharacteristic
28C2×C8×Dic47C2211yescharacteristic
29C2×C8×Dic47C2211yescharacteristic
30C2×C8×Dic47C2211yescharacteristic
31#15689011C411yescharacteristic
32#15689011C411yescharacteristic
33#15689004C411yescharacteristic
34#15689004C411yescharacteristic
35#15689003C411yescharacteristic
36#15688995C411yescharacteristic
37#15688984C411yescharacteristic
38C4×Dic47⋊C4C2211yescharacteristic
39C4×Dic47⋊C4C2211yescharacteristic
40C4×C22⋊Dic47C2211yescharacteristic
41C4×C22⋊Dic47C2211yescharacteristic
42C4×C22⋊Dic47C2211yescharacteristic
43#15688878C2211yescharacteristic
44#15688878C2211yescharacteristic
45#15688877C2211yescharacteristic
46#15688877C2211yescharacteristic
47#15688877C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53C22×M16×C47C2211yescharacteristic
54C23×C8×C47C2211yescharacteristic
55C2×C4×D4×C47C2211yescharacteristic
56C47×#435—24no—
57C2×C4⋊C8×C47C2211yescharacteristic
58C2×C22⋊C8×C47C2211yescharacteristic
59C2×C22⋊C8×C47C2211yescharacteristic
60C2×#97×C47C2211yescharacteristic
61C23×Dic47C2×C411yescharacteristic
62C23×Dic47C2×C411yescharacteristic
63C2×#10625329—22no—
64C2×#10625329—22no—
65C2×#10625329—22no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70#13094005—24no—
71C2×Dic47⋊C4C2×C411yescharacteristic
72C2×Dic47⋊C4C2×C411yescharacteristic
73C2×Dic47⋊C4C2×C411yescharacteristic
74C2×Dic47⋊C4C2×C411yescharacteristic
75C2×C22⋊Dic47C2×C411yescharacteristic
76C2×C22⋊Dic47C2×C411yescharacteristic
77C2×C22⋊Dic47C2×C411yescharacteristic
78C2×C22⋊Dic47C2×C411yescharacteristic
79C2×C22⋊Dic47C2×C411yescharacteristic
80C2×C22⋊Dic47C2×C411yescharacteristic
81C2×C4×Dic47—22no—
82C2×C4×Dic47—22no—
83C2×C4×Dic47C2×C411yescharacteristic
84C2×C4×Dic47C2×C411yescharacteristic
85C2×C4×Dic47C2311yescharacteristic
86C2×C4×Dic47C2311yescharacteristic
87C2×C4×Dic47C2311yescharacteristic
88C2×C4×Dic47C2311yescharacteristic
89Dic47⋊C8—22no—
90Dic47⋊C8—22no—
91C22⋊(C47⋊C8)—22no—
92C22⋊(C47⋊C8)—22no—
93C22⋊(C47⋊C8)—22no—
94#13093934—22no—
95#13093934—22no—
96#13093934—22no—
97C8×Dic47—22no—
98C8×Dic47—22no—
99C8×Dic47—22no—
100C47⋊#95C2×C411yescharacteristic
101C47⋊#95C2×C411yescharacteristic
102C47⋊#95C2×C411yescharacteristic
103C47⋊#95C2×C411yescharacteristic
104C47⋊#95C2×C411yescharacteristic
105C47⋊#95C2×C411yescharacteristic
106C47⋊#95C2×C411yescharacteristic
107C47⋊#95C2×C411yescharacteristic
108C47⋊#95C2×C411yescharacteristic
109C47⋊#95C2×C411yescharacteristic
110C22×D4×C47C2×C411yescharacteristic
111C23×C4×C47C2311yescharacteristic
112C23×C4×C47C2311yescharacteristic
113C2×M16×C47—22no—
114C2×M16×C47—22no—
115C2×M16×C47D414yes—
116C22×C8×C47—22no—
117C22×C8×C47—22no—
118C22×C8×C47—22no—
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C22×C8×C47C2311yescharacteristic
122C22×C8×C47C2311yescharacteristic
123C4×D4×C47—22no—
124C4×D4×C47—22no—
125C2×C4⋊C4×C47C2×C411yescharacteristic
126C2×C22⋊C4×C47C2×C411yescharacteristic
127C2×C22⋊C4×C47C2×C411yescharacteristic
128C2×C42×C47C2311yescharacteristic
129C4⋊C8×C47—22no—
130C22⋊C8×C47—22no—
131C22⋊C8×C47—22no—
132#97×C47—22no—
133C24×C47C22×C411yescharacteristic
134C24×C47C22×C411yescharacteristic
135C2×D4×C47—22no—
136C2×D4×C47—22no—
137C2×D4×C47—41no—
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—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47C22×C411yescharacteristic
149C22×C4×C47C22×C411yescharacteristic
150C22×C4×C47C22×C411yescharacteristic
151C22×C4×C47C22×C411yescharacteristic
152C22×C4×C47C2×D412yes—
153C22×C4×C47#4112yes—
154C22×C4×C47C2411yescharacteristic
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—41no—
160C22×Dic47—41no—
161C22×Dic47C22×C411yescharacteristic
162C22×Dic47C22×C411yescharacteristic
163C22×Dic47C22×C411yescharacteristic
164C22×Dic47C22×C411yescharacteristic
165C22×Dic47C22×C411yescharacteristic
166C22×Dic47C22×C411yescharacteristic
167C22×Dic47C22×C411yescharacteristic
168C22×Dic47C22×C411yescharacteristic
169M16×C47—28no—
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×C47—44no—
179C2×C8×C47C2×D412yes—
180C2×C8×C47C2×D412yes—
181C2×C8×C47#4112yes—
182C2×C8×C47#4112yes—
183C4⋊C4×C47—22no—
184C22⋊C4×C47—22no—
185C22⋊C4×C47—22no—
186C42×C47—21no—
187C42×C47—21no—
188C22⋊Dic47—22no—
189C22⋊Dic47—22no—
190C22⋊Dic47—22no—
191C22⋊Dic47—41no—
192C22⋊Dic47—41no—
193C22⋊Dic47M1614yescomplemented
194Dic47⋊C4—22no—
195Dic47⋊C4—22no—
196Dic47⋊C4—22no—
197Dic47⋊C4—41no—
198C4×Dic47—22no—
199C4×Dic47—22no—
200C4×Dic47—21no—
201C4×Dic47—21no—
202C4×Dic47—21no—
203C4×Dic47—21no—
204C4×Dic47—21no—
205C4×Dic47—21no—
206C4×Dic47—21no—
207C4×Dic47—21no—
208#10625329—28no—
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—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8#4112yes—
220C2×C47⋊C8#4112yes—
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×C47—21no—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47C4×D412yes—
234C23×C47C2×M1612yes—
235C23×C47C23×C411yescharacteristic
236D4×C47—44no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—22no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
256C2×C4×C47C4×D412yes—
257C2×C4×C47C22×D411yescharacteristic
258C2×C4×C47C2×#4111yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C2×C4×C47C2×#4111yescharacteristic
261C2×C4×C47C2×#4111yescharacteristic
262C2×C4×C47C2×#4111yescharacteristic
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—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—44no—
285C2×Dic47—44no—
286C2×Dic47C2×M1612yes—
287C2×Dic47C2×M1612yes—
288C2×Dic47#13112yes—
289C8×C47—22no—
290C8×C47—41no—
291C8×C47—41no—
292C8×C47#12314yescomplemented
293C47⋊C8—22no—
294C47⋊C8—22no—
295C47⋊C8—41no—
296C47⋊C8—41no—
297#21562—471nomaximal, Sylow
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—41no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47—41no—
308C22×C47—41no—
309C22×C47—41no—
310C22×C47—41no—
311C22×C47—41no—
312C22×C47C2×C4×D411yescharacteristic
313C22×C47C4×#4111yescharacteristic
314C22×C47C4×#4111yescharacteristic
315C22×C47C22×M1611yescharacteristic
316C22×C47C2×#13111yescharacteristic
317C22×C47#56811yescharacteristic
318C22×C47#56811yescharacteristic
319C4×C47—22no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47—41no—
323C4×C47C2×#12311yescharacteristic
324C4×C47#52511yescharacteristic
325C4×C47#52911yescharacteristic
326C4×C47#52911yescharacteristic
327Dic47—22no—
328Dic47—22no—
329Dic47—22no—
330Dic47—41no—
331Dic47—41no—
332Dic47—41no—
333Dic47—41no—
334Dic47—41no—
335C2×#435D4711yescharacteristic
336C2×C4×M16—471no—
337C4×#123—471no—
338#1924—471no—
339#1923—471no—
340#1917—471no—
341#1916—471no—
342#1870—471no—
343#1851—471no—
344#1817—471no—
345#1771—471no—
346#1770—471no—
347#1753—471no—
348#1752—471no—
349C8×C22⋊C4—471no—
350C2×C47—42no—
351C2×C47—42no—
352C2×C47C4×#12311yescharacteristic
353C2×C47#293311yescharacteristic
354C2×C47D4×M1611yescharacteristic
355C2×C47#296511yescharacteristic
356C2×C47#296711yescharacteristic
357C2×C47#296911yescharacteristic
358C2×C47#297011yescharacteristic
359C22×M16—471no—
360C22×M16C2×D4711yescharacteristic
361C23×C8C2×D4711yescharacteristic
362C2×#123—471no—
363C2×C4×D4C2×D4711yescharacteristic
364C22×C42—471no—
365#435—24no—
366C2×C4⋊C8—471no—
367C2×C4⋊C8—471no—
368C2×C4⋊C8C2×D4711yescharacteristic
369C2×C22⋊C8—471no—
370C2×C22⋊C8—471no—
371C2×C22⋊C8—471no—
372C2×C22⋊C8C2×D4711yescharacteristic
373C2×C22⋊C8C2×D4711yescharacteristic
374C4×M16—944no—
375C2×#97—471no—
376C2×#97—471no—
377C2×#97—471no—
378C2×#97C2×D4711yescharacteristic
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#385—471no—
388#381—471no—
389C4×C4⋊C4—471no—
390C4×C4⋊C4—471no—
391C4×C22⋊C4—471no—
392C4×C22⋊C4—471no—
393C4×C22⋊C4—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336—471no—
399#336—471no—
400#336—471no—
401#336—471no—
402#336—471no—
403#336—471no—
404C47#2156211yescharacteristic, complemented, Sylow
405C22×D4C4×D4711yescharacteristic
406C23×C4—471no—
407C23×C4—471no—
408C23×C4C22×D4711yescharacteristic
409C23×C4C22×D4711yescharacteristic
410C2×M16—22no—
411C2×M16—22no—
412C2×M16—942no—
413C2×M16—942no—
414C2×M16—942no—
415C2×M16C22⋊D4714yes—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—22no—
419C22×C8—471no—
420C22×C8—471no—
421C22×C8—471no—
422C22×C8—471no—
423C22×C8C22×D4711yescharacteristic
424C22×C8C22×D4711yescharacteristic
425C22×C8C22×D4711yescharacteristic
426C22×C8C22×D4711yescharacteristic
427#123—944no—
428C4×D4—22no—
429C4×D4—22no—
430C2×C4⋊C4—471no—
431C2×C4⋊C4—471no—
432C2×C4⋊C4—471no—
433C2×C4⋊C4—471no—
434C2×C4⋊C4C4×D4711yescharacteristic
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4—471no—
438C2×C22⋊C4—471no—
439C2×C22⋊C4—471no—
440C2×C22⋊C4—471no—
441C2×C22⋊C4C4×D4711yescharacteristic
442C2×C22⋊C4C4×D4711yescharacteristic
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42—471no—
449C2×C42—942no—
450C2×C42—942no—
451C2×C42C22×D4711yescharacteristic
452C4⋊C8—22no—
453C4⋊C8—942no—
454C4⋊C8—942no—
455C22⋊C8—22no—
456C22⋊C8—22no—
457C22⋊C8—942no—
458C22⋊C8—942no—
459C22⋊C8—942no—
460#97—22no—
461#97—942no—
462#97—942no—
463#97—942no—
464C4×C8—942no—
465C4×C8—942no—
466C4×C8—942no—
467#95—471no—
468#95—471no—
469#95—471no—
470#95—471no—
471#95—471no—
472#95—471no—
473#95—471no—
474#95—471no—
475#95—471no—
476#95—471no—
477C24C2×C4×D4711yescharacteristic
478C24C2×C4×D4711yescharacteristic
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—41no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—471no—
493C22×C4—471no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—471no—
499C22×C4—471no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—1881no—
505C22×C4—1881no—
506C22×C4C2×C4×D4711yescharacteristic
507C22×C4C2×C4×D4711yescharacteristic
508C22×C4C2×C4×D4711yescharacteristic
509C22×C4C2×C4×D4711yescharacteristic
510C22×C4#1062535012yes—
511C22×C4C2×C22⋊D4712yes—
512C22×C4C23×D4711yescharacteristic
513M16—28no—
514M16—948no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—44no—
524C2×C8—472no—
525C2×C8—472no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8—941no—
531C2×C8—941no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8#1062535212yes—
537C2×C8#1062535212yes—
538C2×C8C2×C22⋊D4712yes—
539C2×C8C2×C22⋊D4712yes—
540C4⋊C4—22no—
541C4⋊C4—942no—
542C4⋊C4—942no—
543C4⋊C4—942no—
544C4⋊C4—1881no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—474no—
548C22⋊C4—942no—
549C22⋊C4—942no—
550C22⋊C4—942no—
551C22⋊C4—1881no—
552C22⋊C4—1881no—
553C42—21no—
554C42—21no—
555C42—942no—
556C42—942no—
557C42—941no—
558C42—941no—
559C42—941no—
560C42—941no—
561C42—941no—
562C42—941no—
563C42—941no—
564C42—941no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23C4×C22⋊D4712yes—
578C23M16×D4712yes—
579C23C22×C4×D4711yescharacteristic
580D4—44no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—472no—
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—941no—
613C2×C4—941no—
614C2×C4—941no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—941no—
624C2×C4—1884no—
625C2×C4—1884no—
626C2×C4C4×C22⋊D4712yes—
627C2×C4C22×C22⋊D4711yescharacteristic
628C2×C4#41×D4711yescharacteristic
629C2×C4#41×D4711yescharacteristic
630C2×C4C2×#1062535211yescharacteristic
631C2×C4C2×#1062535211yescharacteristic
632C2×C4C2×#1062535011yescharacteristic
633C8—22no—
634C8—41no—
635C8—41no—
636C8—942no—
637C8—942no—
638C8—1881no—
639C8—1881no—
640C8#1309400514yescomplemented
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22C2×C4×C22⋊D4711yescharacteristic
656C22C4×#1062535211yescharacteristic
657C22C4×#1062535211yescharacteristic
658C22C2×M16×D4711yescharacteristic
659C22#131×D4711yescharacteristic
660C22#1568988811yescharacteristic
661C22#1568988911yescharacteristic
662C4—22no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—942no—
667C4—942no—
668C4—942no—
669C4—1881no—
670C4—1881no—
671C4—1881no—
672C4—1881no—
673C4—1881no—
674C4C2×#1309400511yescharacteristic
675C4#1568963011yescharacteristic
676C4#1568965311yescharacteristic
677C4#1568965311yescharacteristic
678C2—42no—
679C2—42no—
680C2C4×#1309400511yescharacteristic
681C2#2025211011yescharacteristic
682C2M16×C22⋊D4711yescharacteristic
683C2#2025234811yescharacteristic
684C2#2025236711yescharacteristic
685C2#2025238511yescharacteristic
686C2#2025239811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC2×C47×#435C2
prime radicalC22×D4×C47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×#435D47
hypocenterC47#21562
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×M16×Dic47C2semidirect
3. #20243998C2semidirect
4. #20243991C2semidirect
5. #20243949C2semidirect
6. #20243942C2semidirect
8. #20243570C2semidirect
9. #20243454C2semidirect
10. #20243264C2semidirect
11. #20243256C2semidirect
12. #20243169C2semidirect
13. #20243164C2semidirect
14. C8×C22⋊Dic47C2semidirect
193. C22⋊Dic47M16semidirect
292. C8×C47#123semidirect
404. C47#21562semidirect
640. C8#13094005semidirect

Maximal subgroups

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

subgroupindex
C2×M16×Dic472
C4×#130940052
#202439982
#202439912
#202439492
#202439422
#202436862
#202435702
#202434542
#202432642
#202432562
#202431692
#202431642
C8×C22⋊Dic472
C2×C47×#4352
#2156247