Finite Group Databasebeta

← C47×#63007 #26102705

Subgroups — C47×#63007 #26102705

Order 12032.

7002 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3524C218yesmaximal, complemented
2C47×#3523C214yesmaximal, complemented
3C47×#3517C214yesmaximal, complemented
4C47×#3516C218yesmaximal, complemented
5C47×#3512C2112yesmaximal, complemented
6C47×#3511C216yesmaximal, complemented
7C47×#3497C211yesmaximal, characteristic, complemented
8C47×#3497C212yesmaximal, complemented
9C47×#3482C214yesmaximal, complemented
10C47×#3480C214yesmaximal, complemented
11C47×#3480C216yesmaximal, complemented
12C2×C47×#557C211yesmaximal, characteristic, complemented
13C4×2−1+4×C47C211yesmaximal, characteristic, complemented
14C4×2−1+4×C47C212yesmaximal, complemented
15C2×2−1+4×C47C2211yescharacteristic
16C2×2−1+4×C47C2212yes—
17C47×#559C2216yes—
18C47×#559C22112yes—
19C47×#557C2214yes—
20C47×#557C2218yes—
21C47×#557C2214yes—
22C47×#557C2216yes—
23C47×#556C2216yes—
24C47×#556C22112yes—
25C47×#556C22112yes—
26C47×#555C22112yes—
27C47×#554C22112yes—
28C47×#553C2214yes—
29C47×#553C22124yes—
30C47×#553C22124yes—
31C47×#553C22124yes—
32C47×#553C22124yes—
33C47×#552C22124yes—
34C47×#552C22124yes—
35C47×#550C2214yes—
36C47×#550C2216yes—
37C47×#550C2218yes—
38D4×Q8×C47C2214yes—
39D4×Q8×C47C2218yes—
40C47×#548C2218yes—
41C47×#548C22112yes—
42C47×#548C2218yes—
43C47×#548C2218yes—
44C47×#547C22112yes—
45C47×#542C22124yes—
46C47×#541C22124yes—
47C47×#540C22124yes—
48C47×#537C22112yes—
49C47×#537C2216yes—
50C47×#533C22112yes—
51C47×#532C2216yes—
52C47×#532C22112yes—
53C47×#532C22112yes—
54C2×C4⋊Q8×C47C2213yes—
55C47×#529C22124yes—
56C47×#529C22124yes—
57C47×#529C22112yes—
58C47×#529C22124yes—
59C2×#125×C47C2216yes—
60C47×#520C22112yes—
61C47×#520C2216yes—
62C47×#520C2218yes—
63C47×#520C2214yes—
64C47×#519C2211yescharacteristic
65C47×#519C2214yes—
66C47×#519C2218yes—
67C4×#41×C47C2216yes—
68C4×#41×C47C22112yes—
69C4×#41×C47C2218yes—
70C4×#41×C47C2214yes—
71C4×#41×C47C22112yes—
72C2×C4×Q8×C47C2212yes—
73C2×C4×Q8×C47C2211yescharacteristic
74C2×C4×Q8×C47C2214yes—
75C2×C4×Q8×C47C2218yes—
76C2×C4×Q8×C47C2213yes—
772−1+4×C47—28no—
782−1+4×C47—216no—
79C2×#41×C47C2316yes—
80C2×#41×C47C23112yes—
81C2×#41×C47C2318yes—
82C2×#41×C47C2314yes—
83C2×#41×C47C23112yes—
84C22×Q8×C47C2314yes—
85C22×Q8×C47C2318yes—
86C22×Q8×C47C2313yes—
87C22×Q8×C47C2311yescharacteristic
88C4⋊Q8×C47C23112yes—
89C4⋊Q8×C47C23112yes—
90C4⋊Q8×C47C2316yes—
91C4⋊Q8×C47C23112yes—
92#127×C47C2316yes—
93#127×C47C23112yes—
94#126×C47C23124yes—
95#126×C47C2318yes—
96#126×C47C23124yes—
97#126×C47C23148yes—
98#125×C47C23124yes—
99#125×C47C23124yes—
100#125×C47C2314yes—
101#125×C47C23124yes—
102#125×C47C23124yes—
103#124×C47C23112yes—
104#124×C47C23112yes—
105#124×C47C23112yes—
106#124×C47C23124yes—
107#124×C47C23112yes—
108#123×C47C23124yes—
109#123×C47C2318yes—
110#123×C47C23124yes—
111#123×C47C23148yes—
112C22⋊Q8×C47C23112yes—
113C22⋊Q8×C47C23124yes—
114C22⋊Q8×C47C23124yes—
115C22⋊Q8×C47C23124yes—
116C22⋊Q8×C47C23124yes—
117#121×C47C2314yes—
118#121×C47C23124yes—
119#121×C47C23124yes—
120#121×C47C23124yes—
121#121×C47C2314yes—
122#121×C47C2318yes—
123#121×C47C23124yes—
124#121×C47C23112yes—
125#121×C47C23124yes—
126#121×C47C23124yes—
127C4×Q8×C47C2314yes—
128C4×Q8×C47C2318yes—
129C4×Q8×C47C2314yes—
130C4×Q8×C47C23112yes—
131C4×Q8×C47C2316yes—
132C4×Q8×C47C2314yes—
133C4×Q8×C47C2316yes—
134C4×Q8×C47C23112yes—
135C4×Q8×C47C23124yes—
136C4×Q8×C47C2314yes—
137C4×Q8×C47C2318yes—
138C4×Q8×C47C2316yes—
139C4×Q8×C47C23112yes—
140C4×Q8×C47C23112yes—
141C4×Q8×C47C2316yes—
142C4×Q8×C47C23112yes—
143C4×D4×C47C2316yes—
144C4×D4×C47C2314yes—
145C4×D4×C47C2318yes—
146C4×D4×C47C23112yes—
147C4×D4×C47C2314yes—
148C4×D4×C47C23112yes—
149C4×D4×C47C23124yes—
150C4×D4×C47C23124yes—
151C4×D4×C47C23112yes—
152C4×D4×C47C23112yes—
153C4×D4×C47C2316yes—
154C4×D4×C47C23124yes—
155C4×D4×C47C23112yes—
156C4×D4×C47C23124yes—
157C4×D4×C47C23112yes—
158C4×D4×C47C23124yes—
159C4×D4×C47C23124yes—
160#117×C47C2316yes—
161#117×C47C2314yes—
162#117×C47C23124yes—
163#117×C47C23112yes—
164#117×C47C23112yes—
165#117×C47C23124yes—
166#117×C47C23124yes—
167#117×C47C23124yes—
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2313yes—
170C2×C4⋊C4×C47C2316yes—
171C2×C4⋊C4×C47C23124yes—
172C2×C4⋊C4×C47C23112yes—
173C2×C4⋊C4×C47C2316yes—
174C2×C4⋊C4×C47C2316yes—
175C2×C42×C47C2316yes—
176C2×C42×C47C2313yes—
177C2×C42×C47C23124yes—
178C2×C42×C47C23112yes—
179#41×C47—232no—
180#41×C47—216no—
181#41×C47—224no—
182#41×C47—248no—
183#41×C47—424no—
184C2×Q8×C47—216no—
185C2×Q8×C47—232no—
186C2×Q8×C47—46no—
187C2×Q8×C47#4118yescomplemented
188C2×Q8×C47C24112yes—
189C2×Q8×C47C2416yes—
190C2×Q8×C47C2416yes—
191C2×Q8×C47C2416yes—
192C2×Q8×C47C2414yes—
193C2×D4×C47C2414yes—
194C2×D4×C47C2418yes—
195C2×D4×C47C2416yes—
196C2×D4×C47C24112yes—
197C2×D4×C47C2414yes—
198C2×D4×C47C24112yes—
199C2×D4×C47C2418yes—
200C2×D4×C47C24124yes—
201C22×C4×C47C2411yescharacteristic
202C22×C4×C47C2414yes—
203C22×C4×C47C24124yes—
204C22×C4×C47C24112yes—
205C22×C4×C47C2412yes—
206C22×C4×C47C2418yes—
207C22×C4×C47C2413yes—
208C22×C4×C47C2416yes—
209C22×C4×C47C24112yes—
210C22×C4×C47C24124yes—
211C22×C4×C47C2413yes—
212C4⋊C4×C47C2416yes—
213C4⋊C4×C47C2416yes—
214C4⋊C4×C47C24112yes—
215C4⋊C4×C47C24124yes—
216C4⋊C4×C47C24124yes—
217C4⋊C4×C47C24112yes—
218C4⋊C4×C47C2411yescharacteristic
219C4⋊C4×C47C24112yes—
220C4⋊C4×C47C24124yes—
221C4⋊C4×C47C2411yescharacteristic
222C4⋊C4×C47C2412yes—
223C4⋊C4×C47C24112yes—
224C4⋊C4×C47C2414yes—
225C4⋊C4×C47C2418yes—
226C4⋊C4×C47C24112yes—
227C4⋊C4×C47C2414yes—
228C4⋊C4×C47C24124yes—
229C4⋊C4×C47C2418yes—
230C22⋊C4×C47C2414yes—
231C22⋊C4×C47C2418yes—
232C22⋊C4×C47C24112yes—
233C22⋊C4×C47C24124yes—
234C22⋊C4×C47C2418yes—
235C22⋊C4×C47C2414yes—
236C22⋊C4×C47C24124yes—
237C22⋊C4×C47C2418yes—
238C22⋊C4×C47C24124yes—
239C22⋊C4×C47C24124yes—
240C22⋊C4×C47C2418yes—
241C42×C47C24112yes—
242C42×C47C2418yes—
243C42×C47C24112yes—
244C42×C47C2416yes—
245C42×C47C2414yes—
246C42×C47C24112yes—
247C42×C47C24124yes—
248C42×C47C2416yes—
249C42×C47C24112yes—
250C23×C47C2514yes—
251C23×C47C2518yes—
252C23×C47C2511yescharacteristic
253Q8×C47—224no—
254Q8×C47—212no—
255Q8×C47—212no—
256Q8×C47—46no—
257Q8×C47C2×#41116yes—
258D4×C47—28no—
259D4×C47—216no—
260D4×C47—212no—
261D4×C47—224no—
262D4×C47—28no—
263D4×C47—412no—
264D4×C47—48no—
265D4×C47—424no—
266C2×C4×C47—248no—
267C2×C4×C47—224no—
268C2×C4×C47—22no—
269C2×C4×C47—28no—
270C2×C4×C47—48no—
271C2×C4×C47—412no—
272C2×C4×C47—42no—
273C2×C4×C47—43no—
274C2×C4×C47—46no—
275C2×C4×C47—424no—
276C2×C4×C47C2×#41112yes—
277C2×C4×C47C2514yes—
278C2×C4×C47C2512yes—
279C2×C4×C47C2514yes—
280C2×C4×C47C2511yescharacteristic
281C2×C4×C47C2512yes—
282C2×C4×C47C2518yes—
283C2×C4×C47C2514yes—
284C2×C4×C47C2516yes—
285C2×C4×C47C25112yes—
286C2×C4×C47C2516yes—
287C2×C4×C47C2511yescharacteristic
288#63007C4711yesmaximal, characteristic, direct product factor, Sylow
289C22×C47—21no—
290C22×C47—21no—
291C22×C47—24no—
292C22×C47—28no—
293C22×C47—24no—
294C22×C47—28no—
295C22×C47—24no—
296C22×C47—28no—
297C22×C47C22×#4112yes—
298C22×C47C2611yescharacteristic
299C4×C47—28no—
300C4×C47—24no—
301C4×C47—24no—
302C4×C47—21no—
303C4×C47—212no—
304C4×C47—22no—
305C4×C47—24no—
306C4×C47—26no—
307C4×C47—22no—
308C4×C47C22×#41112yes—
309C4×C47#58512yes—
310#3524C2×C4718yescomplemented
311#3523C2×C4714yescomplemented
312#3517C2×C4714yescomplemented
313#3516C2×C4718yescomplemented
314#3512C2×C47112yescomplemented
315#3511C2×C4716yescomplemented
316#3497C2×C4711yescharacteristic, complemented
317#3497C2×C4712yescomplemented
318#3482C2×C4714yescomplemented
319#3480C2×C4714yescomplemented
320#3480C2×C4716yescomplemented
321C2×#557C2×C4711yescharacteristic, complemented
322C4×2−1+4C2×C4711yescharacteristic, complemented
323C4×2−1+4C2×C4712yescomplemented
324C2×C47—22no—
325C2×C47—44no—
326C2×C47—48no—
327C2×C47C23×#4111yescharacteristic
328C2×C47C2×#58511yescharacteristic
329C2×C472−1+611yescharacteristic
330C2×2−1+4C22×C4711yescharacteristic
331C2×2−1+4C22×C4712yes—
332#559C22×C4716yes—
333#559C22×C47112yes—
334#557C22×C4714yes—
335#557C22×C4718yes—
336#557C22×C4714yes—
337#557C22×C4716yes—
338#556C22×C4716yes—
339#556C22×C47112yes—
340#556C22×C47112yes—
341#555C22×C47112yes—
342#554C22×C47112yes—
343#553C22×C4714yes—
344#553C22×C47124yes—
345#553C22×C47124yes—
346#553C22×C47124yes—
347#553C22×C47124yes—
348#552C22×C47124yes—
349#552C22×C47124yes—
350#550C22×C4714yes—
351#550C22×C4716yes—
352#550C22×C4718yes—
353D4×Q8C22×C4714yes—
354D4×Q8C22×C4718yes—
355#548C22×C4718yes—
356#548C22×C47112yes—
357#548C22×C4718yes—
358#548C22×C4718yes—
359#547C22×C47112yes—
360#542C22×C47124yes—
361#541C22×C47124yes—
362#540C22×C47124yes—
363#537C22×C47112yes—
364#537C22×C4716yes—
365#533C22×C47112yes—
366#532C22×C4716yes—
367#532C22×C47112yes—
368#532C22×C47112yes—
369C2×C4⋊Q8C22×C4713yes—
370#529C22×C47124yes—
371#529C22×C47124yes—
372#529C22×C47112yes—
373#529C22×C47124yes—
374C2×#125C22×C4716yes—
375#520C22×C47112yes—
376#520C22×C4716yes—
377#520C22×C4718yes—
378#520C22×C4714yes—
379#519C22×C4711yescharacteristic
380#519C22×C4714yes—
381#519C22×C4718yes—
382C4×#41C22×C4716yes—
383C4×#41C22×C47112yes—
384C4×#41C22×C4718yes—
385C4×#41C22×C4714yes—
386C4×#41C22×C47112yes—
387C2×C4×Q8C22×C4712yes—
388C2×C4×Q8C22×C4711yescharacteristic
389C2×C4×Q8C22×C4714yes—
390C2×C4×Q8C22×C4718yes—
391C2×C4×Q8C22×C4713yes—
392C47#6300711yescharacteristic, direct product factor, Sylow
3932−1+4—28no—
3942−1+4—216no—
395C2×#41C23×C4716yes—
396C2×#41C23×C47112yes—
397C2×#41C23×C4718yes—
398C2×#41C23×C4714yes—
399C2×#41C23×C47112yes—
400C22×Q8C23×C4714yes—
401C22×Q8C23×C4718yes—
402C22×Q8C23×C4713yes—
403C22×Q8C23×C4711yescharacteristic
404C4⋊Q8C23×C47112yes—
405C4⋊Q8C23×C47112yes—
406C4⋊Q8C23×C4716yes—
407C4⋊Q8C23×C47112yes—
408#127C23×C4716yes—
409#127C23×C47112yes—
410#126C23×C47124yes—
411#126C23×C4718yes—
412#126C23×C47124yes—
413#126C23×C47148yes—
414#125C23×C47124yes—
415#125C23×C47124yes—
416#125C23×C4714yes—
417#125C23×C47124yes—
418#125C23×C47124yes—
419#124C23×C47112yes—
420#124C23×C47112yes—
421#124C23×C47112yes—
422#124C23×C47124yes—
423#124C23×C47112yes—
424#123C23×C47124yes—
425#123C23×C4718yes—
426#123C23×C47124yes—
427#123C23×C47148yes—
428C22⋊Q8C23×C47112yes—
429C22⋊Q8C23×C47124yes—
430C22⋊Q8C23×C47124yes—
431C22⋊Q8C23×C47124yes—
432C22⋊Q8C23×C47124yes—
433#121C23×C4714yes—
434#121C23×C47124yes—
435#121C23×C47124yes—
436#121C23×C47124yes—
437#121C23×C4714yes—
438#121C23×C4718yes—
439#121C23×C47124yes—
440#121C23×C47112yes—
441#121C23×C47124yes—
442#121C23×C47124yes—
443C4×Q8C23×C4714yes—
444C4×Q8C23×C4718yes—
445C4×Q8C23×C4714yes—
446C4×Q8C23×C47112yes—
447C4×Q8C23×C4716yes—
448C4×Q8C23×C4714yes—
449C4×Q8C23×C4716yes—
450C4×Q8C23×C47112yes—
451C4×Q8C23×C47124yes—
452C4×Q8C23×C4714yes—
453C4×Q8C23×C4718yes—
454C4×Q8C23×C4716yes—
455C4×Q8C23×C47112yes—
456C4×Q8C23×C47112yes—
457C4×Q8C23×C4716yes—
458C4×Q8C23×C47112yes—
459C4×D4C23×C4716yes—
460C4×D4C23×C4714yes—
461C4×D4C23×C4718yes—
462C4×D4C23×C47112yes—
463C4×D4C23×C4714yes—
464C4×D4C23×C47112yes—
465C4×D4C23×C47124yes—
466C4×D4C23×C47124yes—
467C4×D4C23×C47112yes—
468C4×D4C23×C47112yes—
469C4×D4C23×C4716yes—
470C4×D4C23×C47124yes—
471C4×D4C23×C47112yes—
472C4×D4C23×C47124yes—
473C4×D4C23×C47112yes—
474C4×D4C23×C47124yes—
475C4×D4C23×C47124yes—
476#117C23×C4716yes—
477#117C23×C4714yes—
478#117C23×C47124yes—
479#117C23×C47112yes—
480#117C23×C47112yes—
481#117C23×C47124yes—
482#117C23×C47124yes—
483#117C23×C47124yes—
484C2×C4⋊C4C23×C4711yescharacteristic
485C2×C4⋊C4C23×C4713yes—
486C2×C4⋊C4C23×C4716yes—
487C2×C4⋊C4C23×C47124yes—
488C2×C4⋊C4C23×C47112yes—
489C2×C4⋊C4C23×C4716yes—
490C2×C4⋊C4C23×C4716yes—
491C2×C42C23×C4716yes—
492C2×C42C23×C4713yes—
493C2×C42C23×C47124yes—
494C2×C42C23×C47112yes—
495#41—232no—
496#41—216no—
497#41—224no—
498#41—248no—
499#41—424no—
500C2×Q8—216no—
501C2×Q8—232no—
502C2×Q8—46no—
503C2×Q8#41×C4718yescomplemented
504C2×Q8C24×C47112yes—
505C2×Q8C24×C4716yes—
506C2×Q8C24×C4716yes—
507C2×Q8C24×C4716yes—
508C2×Q8C24×C4714yes—
509C2×D4C24×C4714yes—
510C2×D4C24×C4718yes—
511C2×D4C24×C4716yes—
512C2×D4C24×C47112yes—
513C2×D4C24×C4714yes—
514C2×D4C24×C47112yes—
515C2×D4C24×C4718yes—
516C2×D4C24×C47124yes—
517C22×C4C24×C4711yescharacteristic
518C22×C4C24×C4714yes—
519C22×C4C24×C47124yes—
520C22×C4C24×C47112yes—
521C22×C4C24×C4712yes—
522C22×C4C24×C4718yes—
523C22×C4C24×C4713yes—
524C22×C4C24×C4716yes—
525C22×C4C24×C47112yes—
526C22×C4C24×C47124yes—
527C22×C4C24×C4713yes—
528C4⋊C4C24×C4716yes—
529C4⋊C4C24×C4716yes—
530C4⋊C4C24×C47112yes—
531C4⋊C4C24×C47124yes—
532C4⋊C4C24×C47124yes—
533C4⋊C4C24×C47112yes—
534C4⋊C4C24×C4711yescharacteristic
535C4⋊C4C24×C47112yes—
536C4⋊C4C24×C47124yes—
537C4⋊C4C24×C4711yescharacteristic
538C4⋊C4C24×C4712yes—
539C4⋊C4C24×C47112yes—
540C4⋊C4C24×C4714yes—
541C4⋊C4C24×C4718yes—
542C4⋊C4C24×C47112yes—
543C4⋊C4C24×C4714yes—
544C4⋊C4C24×C47124yes—
545C4⋊C4C24×C4718yes—
546C22⋊C4C24×C4714yes—
547C22⋊C4C24×C4718yes—
548C22⋊C4C24×C47112yes—
549C22⋊C4C24×C47124yes—
550C22⋊C4C24×C4718yes—
551C22⋊C4C24×C4714yes—
552C22⋊C4C24×C47124yes—
553C22⋊C4C24×C4718yes—
554C22⋊C4C24×C47124yes—
555C22⋊C4C24×C47124yes—
556C22⋊C4C24×C4718yes—
557C42C24×C47112yes—
558C42C24×C4718yes—
559C42C24×C47112yes—
560C42C24×C4716yes—
561C42C24×C4714yes—
562C42C24×C47112yes—
563C42C24×C47124yes—
564C42C24×C4716yes—
565C42C24×C47112yes—
566C23C25×C4714yes—
567C23C25×C4718yes—
568C23C25×C4711yescharacteristic
569Q8—224no—
570Q8—212no—
571Q8—212no—
572Q8—46no—
573Q8C2×#41×C47116yes—
574D4—28no—
575D4—216no—
576D4—212no—
577D4—224no—
578D4—28no—
579D4—412no—
580D4—48no—
581D4—424no—
582C2×C4—248no—
583C2×C4—224no—
584C2×C4—22no—
585C2×C4—28no—
586C2×C4—48no—
587C2×C4—412no—
588C2×C4—42no—
589C2×C4—43no—
590C2×C4—46no—
591C2×C4—424no—
592C2×C4C2×#41×C47112yes—
593C2×C4C25×C4714yes—
594C2×C4C25×C4712yes—
595C2×C4C25×C4714yes—
596C2×C4C25×C4711yescharacteristic
597C2×C4C25×C4712yes—
598C2×C4C25×C4718yes—
599C2×C4C25×C4714yes—
600C2×C4C25×C4716yes—
601C2×C4C25×C47112yes—
602C2×C4C25×C4716yes—
603C2×C4C25×C4711yescharacteristic
604C22—21no—
605C22—21no—
606C22—24no—
607C22—28no—
608C22—24no—
609C22—28no—
610C22—24no—
611C22—28no—
612C22C22×#41×C4712yes—
613C22C26×C4711yescharacteristic
614C4—28no—
615C4—24no—
616C4—24no—
617C4—21no—
618C4—212no—
619C4—22no—
620C4—24no—
621C4—26no—
622C4—22no—
623C4C22×#41×C47112yes—
624C4C47×#58512yes—
625C2—22no—
626C2—44no—
627C2—48no—
628C2C23×#41×C4711yescharacteristic
629C2C2×C47×#58511yescharacteristic
630C2C47×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C47C26
commutator, Frattini, cosocleC22C26×C47
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3524C2semidirect
2. C47×#3523C2semidirect
3. C47×#3517C2semidirect
4. C47×#3516C2semidirect
5. C47×#3512C2semidirect
6. C47×#3511C2semidirect
7. C47×#3497C2semidirect
8. C47×#3497C2semidirect
9. C47×#3482C2semidirect
10. C47×#3480C2semidirect
11. C47×#3480C2semidirect
12. C2×C47×#557C2semidirect
13. C4×2−1+4×C47C2semidirect
14. C4×2−1+4×C47C2semidirect
187. C2×Q8×C47#41semidirect
288. #63007C47direct (N × H)
310. #3524C2×C47semidirect
311. #3523C2×C47semidirect
312. #3517C2×C47semidirect
313. #3516C2×C47semidirect
314. #3512C2×C47semidirect
315. #3511C2×C47semidirect
316. #3497C2×C47semidirect
317. #3497C2×C47semidirect
318. #3482C2×C47semidirect
319. #3480C2×C47semidirect
320. #3480C2×C47semidirect
321. C2×#557C2×C47semidirect
322. C4×2−1+4C2×C47semidirect
323. C4×2−1+4C2×C47semidirect
392. C47#63007direct (N × H)
503. C2×Q8#41×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35242
C47×#35232
C47×#35172
C47×#35162
C47×#35122
C47×#35112
C47×#34972
C47×#34822
C47×#34802
C2×C47×#5572
C4×2−1+4×C472
#6300747