Finite Group Databasebeta

← C47×#24949 #26064647

Subgroups — C47×#24949 #26064647

Order 12032.

800 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2485C211yesmaximal, characteristic
2D4×C4⋊C4×C47C211yesmaximal, characteristic
3C47×#2100C211yesmaximal, characteristic, complemented
4C47×#2084C211yesmaximal, characteristic, complemented
5C47×#2077C211yesmaximal, characteristic, complemented
6C47×#2075C211yesmaximal, characteristic, complemented
7C47×#1921C211yesmaximal, characteristic, complemented
8C47×#1919C211yesmaximal, characteristic, complemented
9C47×#1870C211yesmaximal, characteristic
10C47×#1853C211yesmaximal, characteristic, complemented
11C47×#1853C211yesmaximal, characteristic, complemented
12C47×#1825C211yesmaximal, characteristic, complemented
13C47×#1823C211yesmaximal, characteristic, complemented
14C47×#1809C211yesmaximal, characteristic, complemented
15C47×#1736C211yesmaximal, characteristic, complemented
16C22×M16×C47C2211yescharacteristic
17C2×C4×D4×C47—21no—
18C2×C4×D4×C47C2211yescharacteristic
19C2×#117×C47C2211yescharacteristic
20C22×C4⋊C4×C47C2211yescharacteristic
21C22×C4⋊C4×C47C2211yescharacteristic
22C2×#107×C47C2211yescharacteristic
23C2×#106×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×C22⋊C8×C47C2211yescharacteristic
27C2×C22⋊C8×C47C2211yescharacteristic
28C2×C22⋊C8×C47C2211yescharacteristic
29C47×#397—21no—
30C47×#394—21no—
31C47×#389—21no—
32C47×#389C2211yescharacteristic
33C47×#389C2211yescharacteristic
34C47×#388—21no—
35C47×#387—21no—
36C47×#385—21no—
37C47×#385—21no—
38C47×#384C2211yescharacteristic
39C47×#380C2211yescharacteristic
40C47×#380C2211yescharacteristic
41C47×#380C2211yescharacteristic
42C47×#380C2211yescharacteristic
43C47×#380C2211yescharacteristic
44C4×C4⋊C4×C47C2211yescharacteristic
45C47×#340C2211yescharacteristic
46C47×#340C2211yescharacteristic
47C47×#340C2211yescharacteristic
48C47×#340C2211yescharacteristic
49C47×#340C2211yescharacteristic
50C47×#340C2211yescharacteristic
51C47×#340C2211yescharacteristic
52C47×#340C2211yescharacteristic
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#336C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C22×D4×C47D411yescharacteristic
60C23×C4×C47—21no—
61C23×C4×C47—21no—
62C23×C4×C47C2311yescharacteristic
63C23×C4×C47C2311yescharacteristic
64C2×M16×C47—22no—
65C2×M16×C47—22no—
66C2×M16×C47—41no—
67C22×C8×C47C2311yescharacteristic
68C22×C8×C47C2311yescharacteristic
69C22×C8×C47C2311yescharacteristic
70C22×C8×C47C2311yescharacteristic
71C4×D4×C47—22no—
72C4×D4×C47—22no—
73C4×D4×C47—44no—
74#117×C47—22no—
75#117×C47—22no—
76C2×C4⋊C4×C47—22no—
77C2×C4⋊C4×C47—22no—
78C2×C4⋊C4×C47—21no—
79C2×C4⋊C4×C47—21no—
80C2×C4⋊C4×C47—21no—
81C2×C4⋊C4×C47—21no—
82C2×C4⋊C4×C47—21no—
83C2×C4⋊C4×C47—21no—
84C2×C4⋊C4×C47—41no—
85C2×C4⋊C4×C47—41no—
86C2×C4⋊C4×C47D411yescharacteristic
87C2×C4⋊C4×C47C2311yescharacteristic
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C4⋊C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47C2311yescharacteristic
95C2×C22⋊C4×C47—21no—
96C2×C22⋊C4×C47—21no—
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—21no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47D411yescharacteristic
102C2×C22⋊C4×C47D411yescharacteristic
103C2×C42×C47—21no—
104C2×C42×C47—21no—
105C2×C42×C47C2311yescharacteristic
106#107×C47—22no—
107#106×C47—22no—
108#106×C47—41no—
109#106×C47—41no—
110C22⋊C8×C47—22no—
111C22⋊C8×C47—22no—
112C22⋊C8×C47—41no—
113#95×C47—21no—
114#95×C47—21no—
115#95×C47—21no—
116#95×C47—21no—
117#95×C47—21no—
118#95×C47—21no—
119#95×C47—21no—
120#95×C47—21no—
121C24×C47C2×D411yescharacteristic
122C24×C47C2×D411yescharacteristic
123C2×D4×C47—22no—
124C2×D4×C47—22no—
125C2×D4×C47—22no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—21no—
130C22×C4×C47—21no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—21no—
135C22×C4×C47—21no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
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—42no—
145C22×C4×C47—42no—
146C22×C4×C47—42no—
147C22×C4×C47—42no—
148C22×C4×C47—81no—
149C22×C4×C47—81no—
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2×D411yescharacteristic
152C22×C4×C47C2×D411yescharacteristic
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47#4112yes—
155C22×C4×C47#4112yes—
156C22×C4×C47C2411yescharacteristic
157M16×C47—44no—
158C2×C8×C47—21no—
159C2×C8×C47—21no—
160C2×C8×C47—21no—
161C2×C8×C47—21no—
162C2×C8×C47—21no—
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#4112yes—
170C4⋊C4×C47—22no—
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—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—42no—
187C4⋊C4×C47—42no—
188C4⋊C4×C47—42no—
189C4⋊C4×C47—42no—
190C4⋊C4×C47—81no—
191C4⋊C4×C47—81no—
192C4⋊C4×C47#4112yes—
193C22⋊C4×C47—22no—
194C22⋊C4×C47—22no—
195C22⋊C4×C47—42no—
196C22⋊C4×C47—42no—
197C22⋊C4×C47—42no—
198C22⋊C4×C47—42no—
199C22⋊C4×C47—81no—
200C22⋊C4×C47—81no—
201C42×C47—21no—
202C42×C47—21no—
203C42×C47—42no—
204C42×C47—42no—
205C23×C47—21no—
206C23×C47—21no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47—21no—
212C23×C47—21no—
213C23×C47—21no—
214C23×C47—21no—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47#12312yes—
218C23×C47AGL(1,ℤ/8)12yes—
219C23×C47C22×D411yescharacteristic
220D4×C47—28no—
221C2×C4×C47—21no—
222C2×C4×C47—21no—
223C2×C4×C47—21no—
224C2×C4×C47—21no—
225C2×C4×C47—22no—
226C2×C4×C47—22no—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—21no—
230C2×C4×C47—21no—
231C2×C4×C47—22no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—41no—
237C2×C4×C47—41no—
238C2×C4×C47—41no—
239C2×C4×C47—41no—
240C2×C4×C47—41no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
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—41no—
263C2×C4×C47—84no—
264C2×C4×C47—84no—
265C2×C4×C47#12312yes—
266C2×C4×C47#13712yes—
267C2×C4×C47C2×#4111yescharacteristic
268C2×C4×C47C2×#4111yescharacteristic
269C2×C4×C47C2×#4111yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×C4×C47H(5,𝔽2)11yescharacteristic
272C2×C4×C472−1+411yescharacteristic
273C8×C47—22no—
274C8×C47—41no—
275C8×C47—41no—
276C8×C47—41no—
277#24949C4711yesmaximal, characteristic, direct product factor, Sylow
278C22×C47—22no—
279C22×C47—22no—
280C22×C47—22no—
281C22×C47—22no—
282C22×C47—22no—
283C22×C47—22no—
284C22×C47—41no—
285C22×C47—41no—
286C22×C47—41no—
287C22×C47—41no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47C2×#12311yescharacteristic
293C22×C47#54611yescharacteristic
294C22×C47#54711yescharacteristic
295C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
296C22×C47C2×#13711yescharacteristic
297C22×C47#57711yescharacteristic
298C22×C47#57711yescharacteristic
299C4×C47—22no—
300C4×C47—22no—
301C4×C47—41no—
302C4×C47—41no—
303C4×C47—42no—
304C4×C47—81no—
305C4×C47—81no—
306C4×C47—81no—
307C4×C47—81no—
308C4×C47—81no—
309C4×C47—81no—
310C4×C47—81no—
311C4×C47#52911yescharacteristic
312C4×C47#53911yescharacteristic
313C4×C47#55111yescharacteristic
314C4×C47#55211yescharacteristic
315#2485C2×C4711yescharacteristic
316D4×C4⋊C4C2×C4711yescharacteristic
317#2100C2×C4711yescharacteristic, complemented
318#2084C2×C4711yescharacteristic, complemented
319#2077C2×C4711yescharacteristic, complemented
320#2075C2×C4711yescharacteristic, complemented
321#1921C2×C4711yescharacteristic, complemented
322#1919C2×C4711yescharacteristic, complemented
323#1870C2×C4711yescharacteristic
324#1853C2×C4711yescharacteristic, complemented
325#1853C2×C4711yescharacteristic, complemented
326#1825C2×C4711yescharacteristic, complemented
327#1823C2×C4711yescharacteristic, complemented
328#1809C2×C4711yescharacteristic, complemented
329#1736C2×C4711yescharacteristic, complemented
330C2×C47—42no—
331C2×C47—42no—
332C2×C47#241911yescharacteristic
333C2×C47#309211yescharacteristic
334C2×C47#309911yescharacteristic
335C2×C47#331011yescharacteristic
336C2×C47#332911yescharacteristic
337C2×C47#334511yescharacteristic
338C2×C47#335611yescharacteristic
339C22×M16C22×C4711yescharacteristic
340C2×C4×D4—21no—
341C2×C4×D4C22×C4711yescharacteristic
342C2×#117C22×C4711yescharacteristic
343C22×C4⋊C4C22×C4711yescharacteristic
344C22×C4⋊C4C22×C4711yescharacteristic
345C2×#107C22×C4711yescharacteristic
346C2×#106C22×C4711yescharacteristic
347C2×#106C22×C4711yescharacteristic
348C2×#106C22×C4711yescharacteristic
349C2×C22⋊C8C22×C4711yescharacteristic
350C2×C22⋊C8C22×C4711yescharacteristic
351C2×C22⋊C8C22×C4711yescharacteristic
352#397—21no—
353#394—21no—
354#389—21no—
355#389C22×C4711yescharacteristic
356#389C22×C4711yescharacteristic
357#388—21no—
358#387—21no—
359#385—21no—
360#385—21no—
361#384C22×C4711yescharacteristic
362#380C22×C4711yescharacteristic
363#380C22×C4711yescharacteristic
364#380C22×C4711yescharacteristic
365#380C22×C4711yescharacteristic
366#380C22×C4711yescharacteristic
367C4×C4⋊C4C22×C4711yescharacteristic
368#340C22×C4711yescharacteristic
369#340C22×C4711yescharacteristic
370#340C22×C4711yescharacteristic
371#340C22×C4711yescharacteristic
372#340C22×C4711yescharacteristic
373#340C22×C4711yescharacteristic
374#340C22×C4711yescharacteristic
375#340C22×C4711yescharacteristic
376#340C22×C4711yescharacteristic
377#340C22×C4711yescharacteristic
378#340C22×C4711yescharacteristic
379#340C22×C4711yescharacteristic
380#336C22×C4711yescharacteristic
381#336C22×C4711yescharacteristic
382C47#2494911yescharacteristic, direct product factor, Sylow
383C22×D4D4×C4711yescharacteristic
384C23×C4—21no—
385C23×C4—21no—
386C23×C4C23×C4711yescharacteristic
387C23×C4C23×C4711yescharacteristic
388C2×M16—22no—
389C2×M16—22no—
390C2×M16—41no—
391C22×C8C23×C4711yescharacteristic
392C22×C8C23×C4711yescharacteristic
393C22×C8C23×C4711yescharacteristic
394C22×C8C23×C4711yescharacteristic
395C4×D4—22no—
396C4×D4—22no—
397C4×D4—44no—
398#117—22no—
399#117—22no—
400C2×C4⋊C4—22no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—41no—
409C2×C4⋊C4—41no—
410C2×C4⋊C4D4×C4711yescharacteristic
411C2×C4⋊C4C23×C4711yescharacteristic
412C2×C4⋊C4C23×C4711yescharacteristic
413C2×C4⋊C4C23×C4711yescharacteristic
414C2×C4⋊C4C23×C4711yescharacteristic
415C2×C4⋊C4C23×C4711yescharacteristic
416C2×C4⋊C4C23×C4711yescharacteristic
417C2×C4⋊C4C23×C4711yescharacteristic
418C2×C4⋊C4C23×C4711yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C4711yescharacteristic
426C2×C22⋊C4D4×C4711yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42C23×C4711yescharacteristic
430#107—22no—
431#106—22no—
432#106—41no—
433#106—41no—
434C22⋊C8—22no—
435C22⋊C8—22no—
436C22⋊C8—41no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445C24C2×D4×C4711yescharacteristic
446C24C2×D4×C4711yescharacteristic
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4C2×D4×C4711yescharacteristic
475C22×C4C2×D4×C4711yescharacteristic
476C22×C4C2×D4×C4711yescharacteristic
477C22×C4C2×D4×C4711yescharacteristic
478C22×C4#41×C4712yes—
479C22×C4#41×C4712yes—
480C22×C4C24×C4711yescharacteristic
481M16—44no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8#41×C4712yes—
494C4⋊C4—22no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C4⋊C4#41×C4712yes—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—81no—
524C22⋊C4—81no—
525C42—21no—
526C42—21no—
527C42—42no—
528C42—42no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23#123×C4712yes—
542C23AGL(1,ℤ/8)×C4712yes—
543C23C22×D4×C4711yescharacteristic
544D4—28no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—84no—
588C2×C4—84no—
589C2×C4#123×C4712yes—
590C2×C4#137×C4712yes—
591C2×C4C2×#41×C4711yescharacteristic
592C2×C4C2×#41×C4711yescharacteristic
593C2×C4C2×#41×C4711yescharacteristic
594C2×C4C2×#41×C4711yescharacteristic
595C2×C4H(5,𝔽2)×C4711yescharacteristic
596C2×C42−1+4×C4711yescharacteristic
597C8—22no—
598C8—41no—
599C8—41no—
600C8—41no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22C2×#123×C4711yescharacteristic
616C22C47×#54611yescharacteristic
617C22C47×#54711yescharacteristic
618C22C2×AGL(1,ℤ/8)×C4711yescharacteristic
619C22C2×#137×C4711yescharacteristic
620C22C47×#57711yescharacteristic
621C22C47×#57711yescharacteristic
622C4—22no—
623C4—22no—
624C4—42no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4C47×#52911yescharacteristic
635C4C47×#53911yescharacteristic
636C4C47×#55111yescharacteristic
637C4C47×#55211yescharacteristic
638C2—42no—
639C2—42no—
640C2C47×#241911yescharacteristic
641C2C47×#309211yescharacteristic
642C2C47×#309911yescharacteristic
643C2C47×#331011yescharacteristic
644C2C47×#332911yescharacteristic
645C2C47×#334511yescharacteristic
646C2C47×#335611yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC22×D4×C47D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C2×C4×D4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
3. C47×#2100C2semidirect
4. C47×#2084C2semidirect
5. C47×#2077C2semidirect
6. C47×#2075C2semidirect
7. C47×#1921C2semidirect
8. C47×#1919C2semidirect
10. C47×#1853C2semidirect
11. C47×#1853C2semidirect
12. C47×#1825C2semidirect
13. C47×#1823C2semidirect
14. C47×#1809C2semidirect
15. C47×#1736C2semidirect
277. #24949C47direct (N × H)
317. #2100C2×C47semidirect
318. #2084C2×C47semidirect
319. #2077C2×C47semidirect
320. #2075C2×C47semidirect
321. #1921C2×C47semidirect
322. #1919C2×C47semidirect
324. #1853C2×C47semidirect
325. #1853C2×C47semidirect
326. #1825C2×C47semidirect
327. #1823C2×C47semidirect
328. #1809C2×C47semidirect
329. #1736C2×C47semidirect
382. C47#24949direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#24852
D4×C4⋊C4×C472
C47×#21002
C47×#20842
C47×#20772
C47×#20752
C47×#19212
C47×#19192
C47×#18702
C47×#18532
C47×#18252
C47×#18232
C47×#18092
C47×#17362
#2494947