Finite Group Databasebeta

← #26219181

Subgroups — #26219181

Order 12032.

884 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×#15689183C211yesmaximal, characteristic, complemented
2C2×#15689081C211yesmaximal, characteristic, complemented
3#20245851C211yesmaximal, characteristic
4#20244000C211yesmaximal, characteristic, complemented
5#20243995C211yesmaximal, characteristic, complemented
6#20243955C211yesmaximal, characteristic, complemented
7#20243942C211yesmaximal, characteristic, complemented
8#20243685C211yesmaximal, characteristic
9#20243678C211yesmaximal, characteristic
10#20243568C211yesmaximal, characteristic, complemented
11C4⋊C8×Dic47C211yesmaximal, characteristic, complemented
12#20243156C211yesmaximal, characteristic, complemented
13#20243153C211yesmaximal, characteristic, complemented
14#20243135C211yesmaximal, characteristic, complemented
15C47×#1851C211yesmaximal, characteristic, complemented
16C23×C47⋊C8C2211yescharacteristic
17C2×C4×C22⋊D47C2211yescharacteristic
18C2×#13093983C2211yescharacteristic
19C2×#13093981C2211yescharacteristic
20#15689183—24no—
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×C4⋊(C47⋊C8)C2211yescharacteristic
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24C2×(C2×D47)⋊C8C2211yescharacteristic
25C2×(C2×D47)⋊C8C2211yescharacteristic
26C2×(C2×D47)⋊C8C2211yescharacteristic
27C2×(C2×D47)⋊C8C2211yescharacteristic
28#15689081—24no—
29C2×#13093934C2211yescharacteristic
30C2×#13093934C2211yescharacteristic
31C2×#13093934C2211yescharacteristic
32C2×C8×Dic47C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34C2×C8×Dic47C2211yescharacteristic
35#15689023C411yescharacteristic
36#15689023C411yescharacteristic
37#15689020C411yescharacteristic
38#15689020C411yescharacteristic
39#15689015C411yescharacteristic
40#15689015C411yescharacteristic
41#15689011C411yescharacteristic
42#15689011C411yescharacteristic
43C4×Dic47⋊C4C2211yescharacteristic
44C4×(C2×D47)⋊C4C2211yescharacteristic
45C42×Dic47C2211yescharacteristic
46#15688878C2211yescharacteristic
47#15688878C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52#15688877C2211yescharacteristic
53#15688877C2211yescharacteristic
54C22×M16×C47C2211yescharacteristic
55C2×C4⋊C8×C47C2211yescharacteristic
56C2×C4⋊C8×C47C2211yescharacteristic
57C2×C22⋊C8×C47C2211yescharacteristic
58C4×C22⋊C4×C47C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C47×#336C2211yescharacteristic
61C22×C22⋊D47C2×C411yescharacteristic
62C22×C4×D47C2311yescharacteristic
63C22×C47⋊C8—22no—
64C22×C47⋊C8—22no—
65C22×C47⋊C8—22no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C4×C22⋊D47—22no—
71C4×C22⋊D47—22no—
72#13093983—22no—
73#13093983—22no—
74#13093981—22no—
75#13093981—22no—
76C2×C4⋊Dic47C2×C411yescharacteristic
77C2×C4⋊Dic47C2×C411yescharacteristic
78C2×Dic47⋊C4C2×C411yescharacteristic
79C2×Dic47⋊C4C2×C411yescharacteristic
80C2×Dic47⋊C4C2×C411yescharacteristic
81C2×Dic47⋊C4C2×C411yescharacteristic
82C2×Dic47⋊C4C2×C411yescharacteristic
83C2×C22⋊Dic47C2×C411yescharacteristic
84C2×C22⋊Dic47C2×C411yescharacteristic
85C2×C22⋊Dic47C2×C411yescharacteristic
86C2×(C2×D47)⋊C4C2×C411yescharacteristic
87C2×(C2×D47)⋊C4C2×C411yescharacteristic
88C2×(C2×D47)⋊C4C2×C411yescharacteristic
89C2×(C2×D47)⋊C4C2×C411yescharacteristic
90C2×(C2×D47)⋊C4C2×C411yescharacteristic
91C2×C4×Dic47C2×C411yescharacteristic
92C2×C4×Dic47C2×C411yescharacteristic
93C2×C4×Dic47C2×C411yescharacteristic
94C2×C4×Dic47C2×C411yescharacteristic
95C2×C4×Dic47C2311yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C2×C4×Dic47C2311yescharacteristic
98C4⋊(C47⋊C8)—22no—
99C4⋊(C47⋊C8)—22no—
100C22⋊(C47⋊C8)—22no—
101(C2×D47)⋊C8—22no—
102(C2×D47)⋊C8—22no—
103(C2×D47)⋊C8—22no—
104(C2×D47)⋊C8—22no—
105#13093934—22no—
106#13093934—22no—
107#13093934D414yescomplemented
108C8×Dic47—22no—
109C8×Dic47—22no—
110C8×Dic47—22no—
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C23×C4×C47C2311yescharacteristic
116C2×M16×C47—22no—
117C2×M16×C47—22no—
118C2×M16×C47—22no—
119C22×C8×C47C2311yescharacteristic
120C22×C8×C47C2311yescharacteristic
121C22×C8×C47C2311yescharacteristic
122C22×C8×C47C2311yescharacteristic
123C2×C22⋊C4×C47C2×C411yescharacteristic
124C2×C22⋊C4×C47C2×C411yescharacteristic
125C2×C42×C47C2311yescharacteristic
126C2×C42×C47C2311yescharacteristic
127C4⋊C8×C47—22no—
128C4⋊C8×C47—22no—
129C22⋊C8×C47—22no—
130#95×C47C2×C411yescharacteristic
131#95×C47C2×C411yescharacteristic
132C24×C47C22×C411yescharacteristic
133C23×D47C22×C411yescharacteristic
134C22×C4×C47—21no—
135C22×C4×C47—21no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47C22×C411yescharacteristic
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C22×C411yescharacteristic
143C22×C4×C47#4112yes—
144C22×C4×C47#4112yes—
145C22×C4×C47C2411yescharacteristic
146C2×C22⋊D47—22no—
147C2×C22⋊D47—22no—
148C2×C22⋊D47—41no—
149C22×Dic47C22×C411yescharacteristic
150C22×Dic47C22×C411yescharacteristic
151C22×Dic47C22×C411yescharacteristic
152C22×Dic47C22×C411yescharacteristic
153C22×Dic47C22×C411yescharacteristic
154C22×Dic47C22×C411yescharacteristic
155C22×Dic47C22×C411yescharacteristic
156C2×C4×D47—21no—
157C2×C4×D47—21no—
158C2×C4×D47—21no—
159C2×C4×D47—21no—
160C2×C4×D47—21no—
161C2×C4×D47—21no—
162M16×C47—28no—
163C2×C8×C47—21no—
164C2×C8×C47—21no—
165C2×C8×C47—21no—
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47C2×D412yes—
174C2×C8×C47#4112yes—
175C22⋊C4×C47—22no—
176C22⋊C4×C47—41no—
177C42×C47—21no—
178C42×C47—21no—
179C42×C47—21no—
180C42×C47—21no—
181C22⋊Dic47—22no—
182C22⋊Dic47—22no—
183C22⋊Dic47—22no—
184(C2×D47)⋊C4—22no—
185(C2×D47)⋊C4—22no—
186(C2×D47)⋊C4—22no—
187(C2×D47)⋊C4—22no—
188(C2×D47)⋊C4—41no—
189C4⋊Dic47—22no—
190C4⋊Dic47—22no—
191Dic47⋊C4—22no—
192Dic47⋊C4—22no—
193Dic47⋊C4—22no—
194Dic47⋊C4—22no—
195Dic47⋊C4—41no—
196C4×Dic47—22no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—22no—
202C4×Dic47—41no—
203C4×Dic47—41no—
204C4×Dic47C2×D412yes—
205C4×Dic47#4112yes—
206C2×C47⋊C8—28no—
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—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8C2×D412yes—
218C2×C47⋊C8#4112yes—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47#11712yes—
226C23×C47C23×C411yescharacteristic
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—22no—
239C2×C4×C47—22no—
240C2×C4×C47—22no—
241C2×C4×C47—22no—
242C2×C4×C47—21no—
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#11712yes—
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×Dic47C4×D412yes—
279C2×Dic47C4×D412yes—
280C2×Dic47#13112yes—
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#21111—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—41no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47#52511yescharacteristic
321C4×C47#52511yescharacteristic
322C4×C47#52911yescharacteristic
323C4×C47#52911yescharacteristic
324Dic47—22no—
325Dic47—22no—
326Dic47—22no—
327Dic47—41no—
328Dic47—41no—
329Dic47—41no—
330Dic47—41no—
331C2×#433—471no—
332C2×#405—471no—
333#2293—471no—
334#1924—471no—
335#1923—471no—
336#1917—471no—
337#1916—471no—
338#1870—471no—
339#1869—471no—
340#1851D4711yescharacteristic, complemented
341#1850—471no—
342C4×C4⋊C8—471no—
343#1750—471no—
344#1750—471no—
345#1745—471no—
346C2×C47—42no—
347C2×C47#229011yescharacteristic
348C2×C47#292411yescharacteristic
349C2×C47#292511yescharacteristic
350C2×C47#293511yescharacteristic
351C2×C47#293511yescharacteristic
352C2×C47#296611yescharacteristic
353C2×C47#296711yescharacteristic
354D47—81no—
355C22×M16C2×D4711yescharacteristic
356C23×C8—471no—
357C2×C4×D4—471no—
358C2×#117—471no—
359C2×#117—471no—
360#433—944no—
361C2×C4⋊C8—471no—
362C2×C4⋊C8—471no—
363C2×C4⋊C8C2×D4711yescharacteristic
364C2×C4⋊C8C2×D4711yescharacteristic
365C2×C22⋊C8—471no—
366C2×C22⋊C8—471no—
367C2×C22⋊C8—471no—
368C2×C22⋊C8—471no—
369C2×C22⋊C8—471no—
370C2×C22⋊C8C2×D4711yescharacteristic
371#405—944no—
372C2×#97—471no—
373C2×#97—471no—
374C2×#97—471no—
375C2×C4×C8—471no—
376C2×C4×C8—471no—
377C2×C4×C8—471no—
378#390—471no—
379#390—471no—
380#389—471no—
381#389—471no—
382#388—471no—
383#388—471no—
384#388—471no—
385#388—471no—
386C4×C4⋊C4—471no—
387C4×C22⋊C4—471no—
388C4×C22⋊C4C2×D4711yescharacteristic
389C43—471no—
390#336—471no—
391#336—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336C2×D4711yescharacteristic
399#336C2×D4711yescharacteristic
400C47#2111111yescharacteristic, complemented, Sylow
401C22×D4—471no—
402C23×C4—471no—
403C23×C4C22×D4711yescharacteristic
404C2×M16—22no—
405C2×M16—22no—
406C2×M16—22no—
407C22×C8—471no—
408C22×C8—471no—
409C22×C8—471no—
410C22×C8—471no—
411C22×C8—942no—
412C22×C8—942no—
413C22×C8—942no—
414C22×C8C22×D4711yescharacteristic
415C22×C8C22×D4711yescharacteristic
416C22×C8C22×D4711yescharacteristic
417C22×C8C22×D4711yescharacteristic
418C4×D4—942no—
419C4×D4—942no—
420#117—942no—
421#117—942no—
422#117—942no—
423#117—942no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—471no—
426C2×C4⋊C4—471no—
427C2×C4⋊C4—471no—
428C2×C4⋊C4—471no—
429C2×C4⋊C4—471no—
430C2×C4⋊C4—471no—
431C2×C22⋊C4—471no—
432C2×C22⋊C4—471no—
433C2×C22⋊C4—471no—
434C2×C22⋊C4—471no—
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4—471no—
438C2×C22⋊C4—471no—
439C2×C22⋊C4C4×D4711yescharacteristic
440C2×C22⋊C4C4×D4711yescharacteristic
441C2×C42—471no—
442C2×C42—471no—
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42C22×D4711yescharacteristic
449C2×C42C22×D4711yescharacteristic
450C4⋊C8—22no—
451C4⋊C8—22no—
452C4⋊C8—942no—
453C4⋊C8—942no—
454C22⋊C8—22no—
455C22⋊C8—942no—
456C22⋊C8—942no—
457C22⋊C8—942no—
458C22⋊C8—942no—
459C22⋊C8—942no—
460#97—474no—
461#97—942no—
462#97—942no—
463C4×C8—942no—
464C4×C8—942no—
465C4×C8—942no—
466#95—471no—
467#95—471no—
468#95—471no—
469#95—471no—
470#95C4×D4711yescharacteristic
471#95C4×D4711yescharacteristic
472C24—471no—
473C24C2×C4×D4711yescharacteristic
474C2×D4—942no—
475C2×D4—942no—
476C2×D4—1881no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—471no—
482C22×C4—471no—
483C22×C4—471no—
484C22×C4—471no—
485C22×C4—471no—
486C22×C4—471no—
487C22×C4—471no—
488C22×C4—941no—
489C22×C4—941no—
490C22×C4—941no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4C2×C4×D4711yescharacteristic
495C22×C4C2×C4×D4711yescharacteristic
496C22×C4C2×C4×D4711yescharacteristic
497C22×C4C2×C4×D4711yescharacteristic
498C22×C4C2×C4×D4711yescharacteristic
499C22×C4#1062535212yes—
500C22×C4#1062535412yes—
501C22×C4C23×D4711yescharacteristic
502M16—28no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—472no—
514C2×C8—472no—
515C2×C8—948no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8—941no—
523C2×C8—941no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8D4×D4712yes—
527C2×C8#1062535212yes—
528C4⋊C4—942no—
529C4⋊C4—942no—
530C4⋊C4—942no—
531C4⋊C4—942no—
532C4⋊C4—942no—
533C4⋊C4—942no—
534C4⋊C4—1881no—
535C22⋊C4—22no—
536C22⋊C4—41no—
537C22⋊C4—942no—
538C22⋊C4—942no—
539C22⋊C4—942no—
540C22⋊C4—942no—
541C22⋊C4—942no—
542C22⋊C4—942no—
543C22⋊C4—942no—
544C22⋊C4—1881no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—472no—
550C42—472no—
551C42—942no—
552C42—942no—
553C42—941no—
554C42—941no—
555C42—941no—
556C42—941no—
557C42—1881no—
558C42—1881no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—941no—
566C23—941no—
567C23—941no—
568C23—941no—
569C23—941no—
570C23—941no—
571C23—941no—
572C23#1309398212yes—
573C23C22×C4×D4711yescharacteristic
574D4—1884no—
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—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—472no—
593C2×C4—472no—
594C2×C4—472no—
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—941no—
613C2×C4—1881no—
614C2×C4—1881no—
615C2×C4—1881no—
616C2×C4—1881no—
617C2×C4#1309398212yes—
618C2×C4#1309403212yes—
619C2×C4C2×D4×D4711yescharacteristic
620C2×C4#41×D4711yescharacteristic
621C2×C4#41×D4711yescharacteristic
622C2×C4C2×#1062535211yescharacteristic
623C2×C4C2×#1062535211yescharacteristic
624C2×C4C2×#1062535411yescharacteristic
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—
647C22C2×#1309398211yescharacteristic
648C22C4×D4×D4711yescharacteristic
649C22C4×#1062535211yescharacteristic
650C22#131×D4711yescharacteristic
651C22C2×#1309403211yescharacteristic
652C22#1568988811yescharacteristic
653C22#1568988911yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—942no—
660C4—942no—
661C4—942no—
662C4—1881no—
663C4—1881no—
664C4—1881no—
665C4—1881no—
666C4#1568962911yescharacteristic
667C4#1568963611yescharacteristic
668C4#1568965011yescharacteristic
669C4#1568965911yescharacteristic
670C2—42no—
671C2—3761no—
672C2#2024582411yescharacteristic
673C2#2025204511yescharacteristic
674C2#2025205611yescharacteristic
675C2#2025212911yescharacteristic
676C2#2025213311yescharacteristic
677C2#2025235811yescharacteristic
678C2#2025237411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1851C2
prime radicalC22×C22⋊D47C2×C4
cosocleC22×C4×C47C24
hypercenter#1851D47
hypocenterC47#21111
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1851

Complements

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

NH ≅ G/Ntype
1. C2×#15689183C2semidirect
2. C2×#15689081C2semidirect
4. #20244000C2semidirect
5. #20243995C2semidirect
6. #20243955C2semidirect
7. #20243942C2semidirect
10. #20243568C2semidirect
11. C4⋊C8×Dic47C2semidirect
12. #20243156C2semidirect
13. #20243153C2semidirect
14. #20243135C2semidirect
15. C47×#1851C2semidirect
107. #13093934D4semidirect
340. #1851D47semidirect
400. C47#21111semidirect

Maximal subgroups

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

subgroupindex
C2×#156891832
C2×#156890812
#202458512
#202440002
#202439952
#202439552
#202439422
#202436852
#202436782
#202435682
C4⋊C8×Dic472
#202431562
#202431532
#202431352
C47×#18512
#2111147