Finite Group Databasebeta

← C47×#35079 #26074777

Subgroups — C47×#35079 #26074777

Order 12032.

2098 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2857C212yesmaximal, complemented
2C47×#2851C212yesmaximal, complemented
3C47×#2667C212yesmaximal, complemented
4C47×#2665C212yesmaximal, complemented
5C47×#2569C212yesmaximal, complemented
6C47×#2549C212yesmaximal, complemented
7C47×#2442C212yesmaximal, complemented
8C47×#2441C212yesmaximal, complemented
9C47×#2440C212yesmaximal, complemented
10C47×#2439C212yesmaximal, complemented
11C47×#2437C214yesmaximal
12C47×#2329C214yesmaximal, complemented
13C47×#2280C211yesmaximal, characteristic
14C2×C47×#380C211yesmaximal, characteristic
15C2×C4×C22⋊C4×C47C211yesmaximal, characteristic
16C24×C4×C47C2211yescharacteristic
17C2×C4⋊Q8×C47C2212yescomplemented
18C2×#125×C47C2212yescomplemented
19C2×C22⋊Q8×C47C2214yes—
20C2×C22⋊Q8×C47C2214yes—
21C2×#117×C47C2212yes—
22C22×C4⋊C4×C47C2212yes—
23C22×C22⋊C4×C47C2212yes—
24C22×C22⋊C4×C47C2212yes—
25C22×C42×C47C2212yes—
26C47×#400C2214yescomplemented
27C47×#399C2214yes—
28C47×#398C2214yescomplemented
29C47×#398C2214yescomplemented
30C47×#396C2214yes—
31C47×#396C2214yes—
32C47×#395C2214yescomplemented
33C47×#393C2214yes—
34C47×#391C2214yescomplemented
35C47×#391C2214yescomplemented
36C47×#389C2214yescomplemented
37C47×#389C2214yescomplemented
38C47×#389C2212yescomplemented
39C47×#389C2212yescomplemented
40C47×#389C2212yescomplemented
41C47×#389C2212yescomplemented
42C47×#387C2214yescomplemented
43C47×#387C2214yescomplemented
44C47×#387C2214yescomplemented
45C47×#387C2214yescomplemented
46C47×#385C2214yes—
47C47×#385C2214yes—
48C47×#385C2214yes—
49C47×#385C2214yes—
50C47×#384C2212yescomplemented
51C47×#382C2212yescomplemented
52C47×#381C2212yes—
53C47×#380C2212yes—
54C47×#380C2212yes—
55C47×#380C2212yes—
56C47×#380C2211yescharacteristic
57C47×#380C2211yescharacteristic
58C47×#380C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C47×#380C2212yes—
61C47×#380C2214yes—
62C47×#380C2214yes—
63C47×#379C2212yes—
64C4×C22⋊C4×C47C2212yes—
65C4×C22⋊C4×C47C2211yescharacteristic
66C4×C22⋊C4×C47C2211yescharacteristic
67C4×C22⋊C4×C47C2212yes—
68C4×C22⋊C4×C47C2211yescharacteristic
69C4×C22⋊C4×C47C2211yescharacteristic
70C4×C22⋊C4×C47C2212yes—
71C4×C22⋊C4×C47C2212yes—
72C2×#95×C47C2211yescharacteristic
73C2×#95×C47C2211yescharacteristic
74C2×#95×C47C2212yes—
75C25×C47C2311yescharacteristic
76C22×Q8×C47C2314yes—
77C23×C4×C47—44no—
78C23×C4×C47Q818yescomplemented
79C23×C4×C47C2312yes—
80C23×C4×C47C2312yes—
81C23×C4×C47C2311yescharacteristic
82C23×C4×C47C2311yescharacteristic
83C23×C4×C47C2311yescharacteristic
84C23×C4×C47C2314yes—
85C23×C4×C47C2311yescharacteristic
86C23×C4×C47C2311yescharacteristic
87C23×C4×C47C2311yescharacteristic
88C4⋊Q8×C47—44no—
89#125×C47—44no—
90C22⋊Q8×C47—216no—
91C22⋊Q8×C47—48no—
92#117×C47—44no—
93C2×C4⋊C4×C47—44no—
94C2×C4⋊C4×C47C2312yes—
95C2×C4⋊C4×C47C2312yes—
96C2×C4⋊C4×C47C2312yes—
97C2×C4⋊C4×C47C2312yes—
98C2×C4⋊C4×C47C2314yes—
99C2×C4⋊C4×C47C2314yes—
100C2×C4⋊C4×C47C2314yes—
101C2×C4⋊C4×C47C2314yes—
102C2×C4⋊C4×C47C2314yes—
103C2×C4⋊C4×C47C2314yes—
104C2×C4⋊C4×C47C2314yes—
105C2×C4⋊C4×C47C2314yes—
106C2×C4⋊C4×C47C2314yes—
107C2×C4⋊C4×C47C2314yes—
108C2×C22⋊C4×C47—28no—
109C2×C22⋊C4×C47—44no—
110C2×C22⋊C4×C47C2314yes—
111C2×C22⋊C4×C47C2312yes—
112C2×C22⋊C4×C47C2312yes—
113C2×C22⋊C4×C47C2312yes—
114C2×C22⋊C4×C47C2312yes—
115C2×C22⋊C4×C47C2314yes—
116C2×C22⋊C4×C47C2312yes—
117C2×C22⋊C4×C47C2312yes—
118C2×C22⋊C4×C47C2312yes—
119C2×C22⋊C4×C47C2314yes—
120C2×C22⋊C4×C47C2312yes—
121C2×C42×C47—44no—
122C2×C42×C47C2312yes—
123C2×C42×C47C2312yes—
124C2×C42×C47C2312yes—
125C2×C42×C47C2312yes—
126C2×C42×C47C2314yes—
127#95×C47C2312yes—
128#95×C47C2312yes—
129#95×C47C2311yescharacteristic
130#95×C47C2311yescharacteristic
131#95×C47C2311yescharacteristic
132#95×C47C2311yescharacteristic
133#95×C47C2312yes—
134#95×C47C2314yes—
135#95×C47C2312yes—
136#95×C47C2312yes—
137#95×C47C2312yes—
138#95×C47C2314yes—
139#95×C47C2314yes—
140#95×C47C2314yes—
141#95×C47C2314yes—
142#95×C47C2314yes—
143#95×C47C2314yes—
144#95×C47C2314yes—
145C24×C47—24no—
146C24×C47—22no—
147C24×C47—22no—
148C24×C47—42no—
149C24×C47C2×Q814yes—
150C24×C47C2411yescharacteristic
151C24×C47C2411yescharacteristic
152C24×C47C2411yescharacteristic
153C2×Q8×C47—28no—
154C2×Q8×C47—44no—
155C2×Q8×C47—44no—
156C22×C4×C47—24no—
157C22×C4×C47—24no—
158C22×C4×C47—24no—
159C22×C4×C47—24no—
160C22×C4×C47—24no—
161C22×C4×C47—28no—
162C22×C4×C47—24no—
163C22×C4×C47—24no—
164C22×C4×C47—416no—
165C22×C4×C47—42no—
166C22×C4×C47—42no—
167C22×C4×C47—42no—
168C22×C4×C47—42no—
169C22×C4×C47—42no—
170C22×C4×C47—44no—
171C22×C4×C47—44no—
172C22×C4×C47C2×Q814yes—
173C22×C4×C47C2×Q814yes—
174C22×C4×C47C2×Q814yes—
175C22×C4×C47C2×Q814yes—
176C22×C4×C47C2×Q814yes—
177C22×C4×C47C2×Q814yes—
178C22×C4×C47C2412yes—
179C22×C4×C47C2412yes—
180C22×C4×C47C2414yes—
181C22×C4×C47C2414yes—
182C22×C4×C47C2414yes—
183C22×C4×C47C2414yes—
184C22×C4×C47C2411yescharacteristic
185C22×C4×C47C2411yescharacteristic
186C22×C4×C47C2411yescharacteristic
187C22×C4×C47C2412yes—
188C22×C4×C47C2412yes—
189C22×C4×C47C2411yescharacteristic
190C4⋊C4×C47—28no—
191C4⋊C4×C47—28no—
192C4⋊C4×C47—28no—
193C4⋊C4×C47—24no—
194C4⋊C4×C47—24no—
195C4⋊C4×C47—24no—
196C4⋊C4×C47—24no—
197C4⋊C4×C47—44no—
198C4⋊C4×C47—44no—
199C4⋊C4×C47—44no—
200C4⋊C4×C47—44no—
201C4⋊C4×C47—44no—
202C4⋊C4×C47—44no—
203C4⋊C4×C47—44no—
204C22⋊C4×C47—24no—
205C22⋊C4×C47—28no—
206C22⋊C4×C47—28no—
207C22⋊C4×C47—24no—
208C22⋊C4×C47—24no—
209C22⋊C4×C47—24no—
210C22⋊C4×C47—24no—
211C22⋊C4×C47—42no—
212C22⋊C4×C47—42no—
213C22⋊C4×C47—44no—
214C22⋊C4×C47#4118yes—
215C42×C47—24no—
216C42×C47—24no—
217C42×C47—42no—
218C42×C47—42no—
219C42×C47—44no—
220C23×C47—22no—
221C23×C47—22no—
222C23×C47—22no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—28no—
226C23×C47—28no—
227C23×C47—22no—
228C23×C47—21no—
229C23×C47—22no—
230C23×C47—21no—
231C23×C47—44no—
232C23×C47—48no—
233C23×C47—48no—
234C23×C47C22×Q812yes—
235C23×C47C22×Q812yes—
236C23×C47C22×Q812yes—
237C23×C47C2×#4114yes—
238C23×C47H(5,𝔽2)12yes—
239C23×C472−1+412yes—
240C23×C47C2511yescharacteristic
241Q8×C47—88no—
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—28no—
250C2×C4×C47—28no—
251C2×C4×C47—28no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—24no—
255C2×C4×C47—24no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—24no—
265C2×C4×C47—24no—
266C2×C4×C47—24no—
267C2×C4×C47—22no—
268C2×C4×C47—24no—
269C2×C4×C47—22no—
270C2×C4×C47—44no—
271C2×C4×C47—44no—
272C2×C4×C47—44no—
273C2×C4×C47—48no—
274C2×C4×C47—48no—
275C2×C4×C47—88no—
276C2×C4×C47C22×Q812yes—
277C2×C4×C47C22×Q812yes—
278C2×C4×C47C22×Q812yes—
279C2×C4×C47C22×Q812yes—
280C2×C4×C47C2×#4114yes—
281C2×C4×C47C2×#4114yes—
282C2×C4×C47H(5,𝔽2)14yes—
283#35079C4711yesmaximal, characteristic, direct product factor, Sylow
284C22×C47—22no—
285C22×C47—22no—
286C22×C47—22no—
287C22×C47—22no—
288C22×C47—24no—
289C22×C47—24no—
290C22×C47—24no—
291C22×C47—24no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—22no—
295C22×C47—416no—
296C22×C47—42no—
297C22×C47—42no—
298C22×C47#53314yes—
299C22×C47#54414yes—
300C22×C47C23×Q811yescharacteristic
301C22×C47C22×#4112yes—
302C22×C47C2×H(5,𝔽2)12yes—
303C22×C47C2×H(5,𝔽2)11yescharacteristic
304C22×C47C2×2−1+411yescharacteristic
305C4×C47—22no—
306C4×C47—22no—
307C4×C47—22no—
308C4×C47—24no—
309C4×C47—24no—
310C4×C47—42no—
311C4×C47—44no—
312C4×C47—44no—
313C4×C47—44no—
314C4×C47—44no—
315C4×C47—42no—
316C4×C47#54314yes—
317#2857C2×C4712yescomplemented
318#2851C2×C4712yescomplemented
319#2667C2×C4712yescomplemented
320#2665C2×C4712yescomplemented
321#2569C2×C4712yescomplemented
322#2549C2×C4712yescomplemented
323#2442C2×C4712yescomplemented
324#2441C2×C4712yescomplemented
325#2440C2×C4712yescomplemented
326#2439C2×C4712yescomplemented
327#2437C2×C4714yes—
328#2329C2×C4714yescomplemented
329#2280C2×C4711yescharacteristic
330C2×#380C2×C4711yescharacteristic
331C2×C4×C22⋊C4C2×C4711yescharacteristic
332C2×C47—24no—
333C2×C47—24no—
334C2×C47—42no—
335C2×C47C2×#53311yescharacteristic
336C2×C47C2×#54311yescharacteristic
337C2×C47C2×#54411yescharacteristic
338C2×C47#351912yes—
339C2×C47#352012yes—
340C24×C4C22×C4711yescharacteristic
341C2×C4⋊Q8C22×C4712yescomplemented
342C2×#125C22×C4712yescomplemented
343C2×C22⋊Q8C22×C4714yes—
344C2×C22⋊Q8C22×C4714yes—
345C2×#117C22×C4712yes—
346C22×C4⋊C4C22×C4712yes—
347C22×C22⋊C4C22×C4712yes—
348C22×C22⋊C4C22×C4712yes—
349C22×C42C22×C4712yes—
350#400C22×C4714yescomplemented
351#399C22×C4714yes—
352#398C22×C4714yescomplemented
353#398C22×C4714yescomplemented
354#396C22×C4714yes—
355#396C22×C4714yes—
356#395C22×C4714yescomplemented
357#393C22×C4714yes—
358#391C22×C4714yescomplemented
359#391C22×C4714yescomplemented
360#389C22×C4714yescomplemented
361#389C22×C4714yescomplemented
362#389C22×C4712yescomplemented
363#389C22×C4712yescomplemented
364#389C22×C4712yescomplemented
365#389C22×C4712yescomplemented
366#387C22×C4714yescomplemented
367#387C22×C4714yescomplemented
368#387C22×C4714yescomplemented
369#387C22×C4714yescomplemented
370#385C22×C4714yes—
371#385C22×C4714yes—
372#385C22×C4714yes—
373#385C22×C4714yes—
374#384C22×C4712yescomplemented
375#382C22×C4712yescomplemented
376#381C22×C4712yes—
377#380C22×C4714yes—
378#380C22×C4712yes—
379#380C22×C4714yes—
380#380C22×C4711yescharacteristic
381#380C22×C4712yes—
382#380C22×C4711yescharacteristic
383#380C22×C4712yes—
384#380C22×C4711yescharacteristic
385#380C22×C4712yes—
386#380C22×C4711yescharacteristic
387#379C22×C4712yes—
388C4×C22⋊C4C22×C4712yes—
389C4×C22⋊C4C22×C4712yes—
390C4×C22⋊C4C22×C4712yes—
391C4×C22⋊C4C22×C4711yescharacteristic
392C4×C22⋊C4C22×C4711yescharacteristic
393C4×C22⋊C4C22×C4712yes—
394C4×C22⋊C4C22×C4711yescharacteristic
395C4×C22⋊C4C22×C4711yescharacteristic
396C2×#95C22×C4711yescharacteristic
397C2×#95C22×C4712yes—
398C2×#95C22×C4711yescharacteristic
399C47#3507911yescharacteristic, direct product factor, Sylow
400C25C23×C4711yescharacteristic
401C22×Q8C23×C4714yes—
402C23×C4—44no—
403C23×C4Q8×C4718yescomplemented
404C23×C4C23×C4712yes—
405C23×C4C23×C4712yes—
406C23×C4C23×C4711yescharacteristic
407C23×C4C23×C4711yescharacteristic
408C23×C4C23×C4711yescharacteristic
409C23×C4C23×C4714yes—
410C23×C4C23×C4711yescharacteristic
411C23×C4C23×C4711yescharacteristic
412C23×C4C23×C4711yescharacteristic
413C4⋊Q8—44no—
414#125—44no—
415C22⋊Q8—216no—
416C22⋊Q8—48no—
417#117—44no—
418C2×C4⋊C4—44no—
419C2×C4⋊C4C23×C4712yes—
420C2×C4⋊C4C23×C4712yes—
421C2×C4⋊C4C23×C4712yes—
422C2×C4⋊C4C23×C4712yes—
423C2×C4⋊C4C23×C4714yes—
424C2×C4⋊C4C23×C4714yes—
425C2×C4⋊C4C23×C4714yes—
426C2×C4⋊C4C23×C4714yes—
427C2×C4⋊C4C23×C4714yes—
428C2×C4⋊C4C23×C4714yes—
429C2×C4⋊C4C23×C4714yes—
430C2×C4⋊C4C23×C4714yes—
431C2×C4⋊C4C23×C4714yes—
432C2×C4⋊C4C23×C4714yes—
433C2×C22⋊C4—28no—
434C2×C22⋊C4—44no—
435C2×C22⋊C4C23×C4714yes—
436C2×C22⋊C4C23×C4712yes—
437C2×C22⋊C4C23×C4712yes—
438C2×C22⋊C4C23×C4712yes—
439C2×C22⋊C4C23×C4712yes—
440C2×C22⋊C4C23×C4714yes—
441C2×C22⋊C4C23×C4712yes—
442C2×C22⋊C4C23×C4712yes—
443C2×C22⋊C4C23×C4712yes—
444C2×C22⋊C4C23×C4714yes—
445C2×C22⋊C4C23×C4712yes—
446C2×C42—44no—
447C2×C42C23×C4712yes—
448C2×C42C23×C4712yes—
449C2×C42C23×C4714yes—
450C2×C42C23×C4712yes—
451C2×C42C23×C4712yes—
452#95C23×C4712yes—
453#95C23×C4712yes—
454#95C23×C4711yescharacteristic
455#95C23×C4711yescharacteristic
456#95C23×C4711yescharacteristic
457#95C23×C4711yescharacteristic
458#95C23×C4712yes—
459#95C23×C4714yes—
460#95C23×C4712yes—
461#95C23×C4712yes—
462#95C23×C4712yes—
463#95C23×C4714yes—
464#95C23×C4714yes—
465#95C23×C4714yes—
466#95C23×C4714yes—
467#95C23×C4714yes—
468#95C23×C4714yes—
469#95C23×C4714yes—
470C24—24no—
471C24—22no—
472C24—22no—
473C24—42no—
474C24C2×Q8×C4714yes—
475C24C24×C4711yescharacteristic
476C24C24×C4711yescharacteristic
477C24C24×C4711yescharacteristic
478C2×Q8—28no—
479C2×Q8—44no—
480C2×Q8—44no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—28no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—416no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4C2×Q8×C4714yes—
498C22×C4C2×Q8×C4714yes—
499C22×C4C2×Q8×C4714yes—
500C22×C4C2×Q8×C4714yes—
501C22×C4C2×Q8×C4714yes—
502C22×C4C2×Q8×C4714yes—
503C22×C4C24×C4712yes—
504C22×C4C24×C4714yes—
505C22×C4C24×C4714yes—
506C22×C4C24×C4712yes—
507C22×C4C24×C4714yes—
508C22×C4C24×C4714yes—
509C22×C4C24×C4711yescharacteristic
510C22×C4C24×C4711yescharacteristic
511C22×C4C24×C4711yescharacteristic
512C22×C4C24×C4712yes—
513C22×C4C24×C4712yes—
514C22×C4C24×C4711yescharacteristic
515C4⋊C4—28no—
516C4⋊C4—28no—
517C4⋊C4—28no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—44no—
523C4⋊C4—44no—
524C4⋊C4—44no—
525C4⋊C4—44no—
526C4⋊C4—44no—
527C4⋊C4—44no—
528C4⋊C4—44no—
529C22⋊C4—24no—
530C22⋊C4—28no—
531C22⋊C4—28no—
532C22⋊C4—24no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—44no—
539C22⋊C4#41×C4718yes—
540C42—24no—
541C42—24no—
542C42—42no—
543C42—42no—
544C42—44no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—21no—
549C23—21no—
550C23—28no—
551C23—28no—
552C23—22no—
553C23—21no—
554C23—22no—
555C23—21no—
556C23—44no—
557C23—48no—
558C23—48no—
559C23C22×Q8×C4712yes—
560C23C22×Q8×C4712yes—
561C23C22×Q8×C4712yes—
562C23C2×#41×C4714yes—
563C23H(5,𝔽2)×C4712yes—
564C232−1+4×C4712yes—
565C23C25×C4711yescharacteristic
566Q8—88no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—48no—
599C2×C4—48no—
600C2×C4—88no—
601C2×C4C22×Q8×C4712yes—
602C2×C4C22×Q8×C4712yes—
603C2×C4C22×Q8×C4712yes—
604C2×C4C22×Q8×C4712yes—
605C2×C4C2×#41×C4714yes—
606C2×C4C2×#41×C4714yes—
607C2×C4H(5,𝔽2)×C4714yes—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—24no—
613C22—24no—
614C22—24no—
615C22—24no—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—416no—
620C22—42no—
621C22—42no—
622C22C47×#53314yes—
623C22C47×#54414yes—
624C22C23×Q8×C4711yescharacteristic
625C22C22×#41×C4712yes—
626C22C2×H(5,𝔽2)×C4712yes—
627C22C2×H(5,𝔽2)×C4711yescharacteristic
628C22C2×2−1+4×C4711yescharacteristic
629C4—22no—
630C4—22no—
631C4—22no—
632C4—24no—
633C4—24no—
634C4—42no—
635C4—44no—
636C4—44no—
637C4—44no—
638C4—42no—
639C4—44no—
640C4C47×#54314yes—
641C2—24no—
642C2—24no—
643C2—42no—
644C2C2×C47×#53311yescharacteristic
645C2C2×C47×#54311yescharacteristic
646C2C2×C47×#54411yescharacteristic
647C2C47×#351912yes—
648C2C47×#352012yes—
subgroupG/H
center, socleC23×C47C25
commutator, Frattini, cosocleC23C25×C47
prime radicalC25×C47C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#2857C2semidirect
2. C47×#2851C2semidirect
3. C47×#2667C2semidirect
4. C47×#2665C2semidirect
5. C47×#2569C2semidirect
6. C47×#2549C2semidirect
7. C47×#2442C2semidirect
8. C47×#2441C2semidirect
9. C47×#2440C2semidirect
10. C47×#2439C2semidirect
12. C47×#2329C2semidirect
17. C2×C4⋊Q8×C47C22semidirect
18. C2×#125×C47C22semidirect
26. C47×#400C22semidirect
28. C47×#398C22semidirect
29. C47×#398C22semidirect
32. C47×#395C22semidirect
34. C47×#391C22semidirect
35. C47×#391C22semidirect
36. C47×#389C22semidirect
37. C47×#389C22semidirect
38. C47×#389C22semidirect
39. C47×#389C22semidirect
40. C47×#389C22semidirect
41. C47×#389C22semidirect
42. C47×#387C22semidirect
43. C47×#387C22semidirect
44. C47×#387C22semidirect
45. C47×#387C22semidirect
50. C47×#384C22semidirect
51. C47×#382C22semidirect
78. C23×C4×C47Q8semidirect
283. #35079C47direct (N × H)
317. #2857C2×C47semidirect
318. #2851C2×C47semidirect
319. #2667C2×C47semidirect
320. #2665C2×C47semidirect
321. #2569C2×C47semidirect
322. #2549C2×C47semidirect
323. #2442C2×C47semidirect
324. #2441C2×C47semidirect
325. #2440C2×C47semidirect
326. #2439C2×C47semidirect
328. #2329C2×C47semidirect
341. C2×C4⋊Q8C22×C47semidirect
342. C2×#125C22×C47semidirect
350. #400C22×C47semidirect
352. #398C22×C47semidirect
353. #398C22×C47semidirect
356. #395C22×C47semidirect
358. #391C22×C47semidirect
359. #391C22×C47semidirect
360. #389C22×C47semidirect
361. #389C22×C47semidirect
362. #389C22×C47semidirect
363. #389C22×C47semidirect
364. #389C22×C47semidirect
365. #389C22×C47semidirect
366. #387C22×C47semidirect
367. #387C22×C47semidirect
368. #387C22×C47semidirect
369. #387C22×C47semidirect
374. #384C22×C47semidirect
375. #382C22×C47semidirect
399. C47#35079direct (N × H)
403. C23×C4Q8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#28572
C47×#28512
C47×#26672
C47×#26652
C47×#25692
C47×#25492
C47×#24422
C47×#24412
C47×#24402
C47×#24392
C47×#24372
C47×#23292
C47×#22802
C2×C47×#3802
C2×C4×C22⋊C4×C472
#3507947