Finite Group Databasebeta

← C47×#24851 #26064549

Subgroups — C47×#24851 #26064549

Order 12032.

852 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#476C211yesmaximal, characteristic, complemented
2C2×C47×#424C211yesmaximal, characteristic, complemented
3C47×#2628C211yesmaximal, characteristic, complemented
4C47×#2324C211yesmaximal, characteristic
5C47×#2088C211yesmaximal, characteristic, complemented
6C47×#2088C211yesmaximal, characteristic, complemented
7C47×#2067C211yesmaximal, characteristic, complemented
8C47×#2065C211yesmaximal, characteristic, complemented
9C47×#1988C211yesmaximal, characteristic, complemented
10C47×#1949C211yesmaximal, characteristic, complemented
11C47×#1895C211yesmaximal, characteristic
12C47×#1893C211yesmaximal, characteristic
13C47×#1809C211yesmaximal, characteristic, complemented
14C47×#1807C211yesmaximal, characteristic, complemented
15C47×#1804C211yesmaximal, characteristic, complemented
16C22×M16×C47C2211yescharacteristic
17C23×C8×C47C2211yescharacteristic
18C2×C4⋊Q8×C47C2211yescharacteristic
19C2×#121×C47C2211yescharacteristic
20C2×C4×D4×C47C2211yescharacteristic
21C2×#117×C47C2211yescharacteristic
22C47×#476—24no—
23C2×#107×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×#106×C47C2211yescharacteristic
27C47×#424—24no—
28C2×C4⋊C8×C47C2211yescharacteristic
29C2×C4⋊C8×C47C2211yescharacteristic
30C2×C4⋊C8×C47C2211yescharacteristic
31C2×C4⋊C8×C47C2211yescharacteristic
32C2×#102×C47C2211yescharacteristic
33C2×#102×C47C2211yescharacteristic
34C2×#102×C47C2211yescharacteristic
35C2×#102×C47C2211yescharacteristic
36C47×#400—21no—
37C47×#399—21no—
38C47×#395—21no—
39C47×#393—21no—
40C47×#390—21no—
41C47×#390C2211yescharacteristic
42C47×#389C2211yescharacteristic
43C47×#389C2211yescharacteristic
44C47×#389C2211yescharacteristic
45C47×#388—21no—
46C47×#386—21no—
47C47×#385—21no—
48C47×#382C2211yescharacteristic
49C47×#380C2211yescharacteristic
50C47×#380C2211yescharacteristic
51C47×#380C2211yescharacteristic
52C4×C4⋊C4×C47C2211yescharacteristic
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#340C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C22×Q8×C47—21no—
62C22×D4×C47—21no—
63C22×D4×C47C2311yescharacteristic
64C23×C4×C47—21no—
65C23×C4×C47C2311yescharacteristic
66C2×M16×C47—22no—
67C2×M16×C47—22no—
68C2×M16×C47—41no—
69C22×C8×C47—22no—
70C22×C8×C47—22no—
71C22×C8×C47—41no—
72C22×C8×C47C2311yescharacteristic
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75C22×C8×C47C2311yescharacteristic
76C4⋊Q8×C47—22no—
77C4⋊Q8×C47—22no—
78#121×C47—22no—
79#121×C47Q814yescomplemented
80C4×D4×C47—22no—
81C4×D4×C47—22no—
82#117×C47—22no—
83#117×C47—22no—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47D411yescharacteristic
89C2×C4⋊C4×C47D411yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C4⋊C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47C2311yescharacteristic
95C2×C4⋊C4×C47C2311yescharacteristic
96C2×C4⋊C4×C47C2311yescharacteristic
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—21no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47—21no—
103C2×C22⋊C4×C47—21no—
104C2×C22⋊C4×C47D411yescharacteristic
105C2×C22⋊C4×C47D411yescharacteristic
106C2×C42×C47—21no—
107C2×C42×C47C2311yescharacteristic
108C2×C42×C47C2311yescharacteristic
109#107×C47—41no—
110#106×C47—22no—
111#106×C47—22no—
112#106×C47—41no—
113C4⋊C8×C47—22no—
114C4⋊C8×C47—22no—
115C4⋊C8×C47—22no—
116C4⋊C8×C47D414yescomplemented
117#102×C47—22no—
118#102×C47—22no—
119#102×C47—41no—
120#102×C47—41no—
121#95×C47—21no—
122#95×C47—21no—
123#95×C47—21no—
124#95×C47—21no—
125#95×C47—21no—
126#95×C47—21no—
127#95×C47—21no—
128#95×C47—21no—
129#95×C47—21no—
130C24×C47—21no—
131C24×C47C2×D411yescharacteristic
132C2×Q8×C47—42no—
133C2×Q8×C47—81no—
134C2×Q8×C47—81no—
135C2×D4×C47—24no—
136C2×D4×C47—21no—
137C2×D4×C47—21no—
138C2×D4×C47—21no—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—81no—
142C2×D4×C47—81no—
143C2×D4×C47C2×Q812yes—
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—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—42no—
156C22×C4×C47—81no—
157C22×C4×C47—81no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×Q812yes—
164C22×C4×C47#4112yes—
165C22×C4×C47C2411yescharacteristic
166M16×C47—44no—
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×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—44no—
178C2×C8×C47C2×D412yes—
179C2×C8×C47C2×D412yes—
180C4⋊C4×C47—22no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—42no—
196C4⋊C4×C47—81no—
197C4⋊C4×C47—81no—
198C4⋊C4×C47—81no—
199C4⋊C4×C47C2×Q812yes—
200C22⋊C4×C47—22no—
201C22⋊C4×C47—22no—
202C22⋊C4×C47—24no—
203C22⋊C4×C47—42no—
204C22⋊C4×C47—81no—
205C22⋊C4×C47—81no—
206C22⋊C4×C47—81no—
207C22⋊C4×C47—81no—
208C22⋊C4×C47—81no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—81no—
212C42×C47C2×D412yes—
213C42×C47#4112yes—
214C23×C47—21no—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—22no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47C22⋊Q812yes—
228C23×C47C22×D411yescharacteristic
229Q8×C47—84no—
230D4×C47—22no—
231D4×C47—22no—
232D4×C47—41no—
233D4×C47—41no—
234D4×C47—84no—
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—22no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—22no—
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×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—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—84no—
273C2×C4×C47#12112yes—
274C2×C4×C47#12112yes—
275C2×C4×C47C22⋊Q812yes—
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C47C22×Q811yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47C2×#4111yescharacteristic
280C2×C4×C47H(5,𝔽2)11yescharacteristic
281C2×C4×C472−1+411yescharacteristic
282C8×C47—22no—
283C8×C47—22no—
284C8×C47—41no—
285C8×C47—41no—
286#24851C4711yesmaximal, characteristic, direct product factor, Sylow
287C22×C47—22no—
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47—81no—
300C22×C47—81no—
301C22×C47C2×#12111yescharacteristic
302C22×C47C2×C22⋊Q811yescharacteristic
303C22×C47#53711yescharacteristic
304C22×C47#57611yescharacteristic
305C22×C47#57711yescharacteristic
306C22×C47#57711yescharacteristic
307C22×C47#57711yescharacteristic
308C4×C47—22no—
309C4×C47—22no—
310C4×C47—22no—
311C4×C47—42no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—81no—
315C4×C47—81no—
316C4×C47—81no—
317C4×C47—81no—
318C4×C47—81no—
319C4×C47—81no—
320C4×C47#54611yescharacteristic
321C4×C47D4×Q811yescharacteristic
322C4×C47#55211yescharacteristic
323C4×C47#55411yescharacteristic
324C2×#476C2×C4711yescharacteristic, complemented
325C2×#424C2×C4711yescharacteristic, complemented
326#2628C2×C4711yescharacteristic, complemented
327#2324C2×C4711yescharacteristic
328#2088C2×C4711yescharacteristic, complemented
329#2088C2×C4711yescharacteristic, complemented
330#2067C2×C4711yescharacteristic, complemented
331#2065C2×C4711yescharacteristic, complemented
332#1988C2×C4711yescharacteristic, complemented
333#1949C2×C4711yescharacteristic, complemented
334#1895C2×C4711yescharacteristic
335#1893C2×C4711yescharacteristic
336#1809C2×C4711yescharacteristic, complemented
337#1807C2×C4711yescharacteristic, complemented
338#1804C2×C4711yescharacteristic, complemented
339C2×C47—42no—
340C2×C47—82no—
341C2×C47#241711yescharacteristic
342C2×C47#305711yescharacteristic
343C2×C47#306211yescharacteristic
344C2×C47#308111yescharacteristic
345C2×C47#308411yescharacteristic
346C2×C47#325711yescharacteristic
347C2×C47#326311yescharacteristic
348C22×M16C22×C4711yescharacteristic
349C23×C8C22×C4711yescharacteristic
350C2×C4⋊Q8C22×C4711yescharacteristic
351C2×#121C22×C4711yescharacteristic
352C2×C4×D4C22×C4711yescharacteristic
353C2×#117C22×C4711yescharacteristic
354#476—24no—
355C2×#107C22×C4711yescharacteristic
356C2×#106C22×C4711yescharacteristic
357C2×#106C22×C4711yescharacteristic
358C2×#106C22×C4711yescharacteristic
359#424—24no—
360C2×C4⋊C8C22×C4711yescharacteristic
361C2×C4⋊C8C22×C4711yescharacteristic
362C2×C4⋊C8C22×C4711yescharacteristic
363C2×C4⋊C8C22×C4711yescharacteristic
364C2×#102C22×C4711yescharacteristic
365C2×#102C22×C4711yescharacteristic
366C2×#102C22×C4711yescharacteristic
367C2×#102C22×C4711yescharacteristic
368#400—21no—
369#399—21no—
370#395—21no—
371#393—21no—
372#390—21no—
373#390C22×C4711yescharacteristic
374#389C22×C4711yescharacteristic
375#389C22×C4711yescharacteristic
376#389C22×C4711yescharacteristic
377#388—21no—
378#386—21no—
379#385—21no—
380#382C22×C4711yescharacteristic
381#380C22×C4711yescharacteristic
382#380C22×C4711yescharacteristic
383#380C22×C4711yescharacteristic
384C4×C4⋊C4C22×C4711yescharacteristic
385#340C22×C4711yescharacteristic
386#340C22×C4711yescharacteristic
387#340C22×C4711yescharacteristic
388#340C22×C4711yescharacteristic
389#340C22×C4711yescharacteristic
390#340C22×C4711yescharacteristic
391#340C22×C4711yescharacteristic
392#340C22×C4711yescharacteristic
393C47#2485111yescharacteristic, direct product factor, Sylow
394C22×Q8—21no—
395C22×D4—21no—
396C22×D4C23×C4711yescharacteristic
397C23×C4—21no—
398C23×C4C23×C4711yescharacteristic
399C2×M16—22no—
400C2×M16—22no—
401C2×M16—41no—
402C22×C8—22no—
403C22×C8—22no—
404C22×C8—41no—
405C22×C8C23×C4711yescharacteristic
406C22×C8C23×C4711yescharacteristic
407C22×C8C23×C4711yescharacteristic
408C22×C8C23×C4711yescharacteristic
409C4⋊Q8—22no—
410C4⋊Q8—22no—
411#121—22no—
412#121Q8×C4714yescomplemented
413C4×D4—22no—
414C4×D4—22no—
415#117—22no—
416#117—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4D4×C4711yescharacteristic
422C2×C4⋊C4D4×C4711yescharacteristic
423C2×C4⋊C4C23×C4711yescharacteristic
424C2×C4⋊C4C23×C4711yescharacteristic
425C2×C4⋊C4C23×C4711yescharacteristic
426C2×C4⋊C4C23×C4711yescharacteristic
427C2×C4⋊C4C23×C4711yescharacteristic
428C2×C4⋊C4C23×C4711yescharacteristic
429C2×C4⋊C4C23×C4711yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4D4×C4711yescharacteristic
438C2×C22⋊C4D4×C4711yescharacteristic
439C2×C42—21no—
440C2×C42C23×C4711yescharacteristic
441C2×C42C23×C4711yescharacteristic
442#107—41no—
443#106—22no—
444#106—22no—
445#106—41no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448C4⋊C8—22no—
449C4⋊C8D4×C4714yescomplemented
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463C24—21no—
464C24C2×D4×C4711yescharacteristic
465C2×Q8—42no—
466C2×Q8—81no—
467C2×Q8—81no—
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C2×Q8×C4712yes—
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—42no—
489C22×C4—81no—
490C22×C4—81no—
491C22×C4C2×D4×C4711yescharacteristic
492C22×C4C2×D4×C4711yescharacteristic
493C22×C4C2×D4×C4711yescharacteristic
494C22×C4C2×D4×C4711yescharacteristic
495C22×C4C2×D4×C4711yescharacteristic
496C22×C4C2×Q8×C4712yes—
497C22×C4#41×C4712yes—
498C22×C4C24×C4711yescharacteristic
499M16—44no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—44no—
511C2×C8C2×D4×C4712yes—
512C2×C8C2×D4×C4712yes—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4C2×Q8×C4712yes—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C42—21no—
543C42—21no—
544C42—81no—
545C42C2×D4×C4712yes—
546C42#41×C4712yes—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23C22⋊Q8×C4712yes—
561C23C22×D4×C4711yescharacteristic
562Q8—84no—
563D4—22no—
564D4—22no—
565D4—41no—
566D4—41no—
567D4—84no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
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—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—84no—
606C2×C4#121×C4712yes—
607C2×C4#121×C4712yes—
608C2×C4C22⋊Q8×C4712yes—
609C2×C4C22×D4×C4711yescharacteristic
610C2×C4C22×Q8×C4711yescharacteristic
611C2×C4C2×#41×C4711yescharacteristic
612C2×C4C2×#41×C4711yescharacteristic
613C2×C4H(5,𝔽2)×C4711yescharacteristic
614C2×C42−1+4×C4711yescharacteristic
615C8—22no—
616C8—22no—
617C8—41no—
618C8—41no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22C2×#121×C4711yescharacteristic
634C22C2×C22⋊Q8×C4711yescharacteristic
635C22C47×#53711yescharacteristic
636C22C47×#57611yescharacteristic
637C22C47×#57711yescharacteristic
638C22C47×#57711yescharacteristic
639C22C47×#57711yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—41no—
644C4—41no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4C47×#54611yescharacteristic
653C4D4×Q8×C4711yescharacteristic
654C4C47×#55211yescharacteristic
655C4C47×#55411yescharacteristic
656C2—42no—
657C2—82no—
658C2C47×#241711yescharacteristic
659C2C47×#305711yescharacteristic
660C2C47×#306211yescharacteristic
661C2C47×#308111yescharacteristic
662C2C47×#308411yescharacteristic
663C2C47×#325711yescharacteristic
664C2C47×#326311yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC2×#121×C47C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C2×#117×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#476C2semidirect
2. C2×C47×#424C2semidirect
3. C47×#2628C2semidirect
5. C47×#2088C2semidirect
6. C47×#2088C2semidirect
7. C47×#2067C2semidirect
8. C47×#2065C2semidirect
9. C47×#1988C2semidirect
10. C47×#1949C2semidirect
13. C47×#1809C2semidirect
14. C47×#1807C2semidirect
15. C47×#1804C2semidirect
79. #121×C47Q8semidirect
116. C4⋊C8×C47D4semidirect
286. #24851C47direct (N × H)
324. C2×#476C2×C47semidirect
325. C2×#424C2×C47semidirect
326. #2628C2×C47semidirect
328. #2088C2×C47semidirect
329. #2088C2×C47semidirect
330. #2067C2×C47semidirect
331. #2065C2×C47semidirect
332. #1988C2×C47semidirect
333. #1949C2×C47semidirect
336. #1809C2×C47semidirect
337. #1807C2×C47semidirect
338. #1804C2×C47semidirect
393. C47#24851direct (N × H)
412. #121Q8×C47semidirect
449. C4⋊C8D4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4762
C2×C47×#4242
C47×#26282
C47×#23242
C47×#20882
C47×#20672
C47×#20652
C47×#19882
C47×#19492
C47×#18952
C47×#18932
C47×#18092
C47×#18072
C47×#18042
#2485147