Finite Group Databasebeta

← C47×#29846 #26069544

Subgroups — C47×#29846 #26069544

Order 12032.

832 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×C47×#488C211yesmaximal, characteristic, complemented
2C2×C47×#431C211yesmaximal, characteristic, complemented
3C47×#2851C211yesmaximal, characteristic, complemented
4C47×#2850C211yesmaximal, characteristic
5C47×#2068C211yesmaximal, characteristic, complemented
6C47×#2067C211yesmaximal, characteristic, complemented
7C47×#2066C211yesmaximal, characteristic, complemented
8C47×#2065C211yesmaximal, characteristic, complemented
9C47×#2036C211yesmaximal, characteristic, complemented
10C47×#2035C211yesmaximal, characteristic, complemented
11C47×#2034C211yesmaximal, characteristic
12C47×#2033C211yesmaximal, characteristic
13C47×#1991C211yesmaximal, characteristic, complemented
14C47×#1958C211yesmaximal, characteristic, complemented
15C47×#1846C211yesmaximal, characteristic, complemented
16C2×#125×C47C2211yescharacteristic
17C2×#124×C47C2211yescharacteristic
18C2×C22⋊Q8×C47C2211yescharacteristic
19C2×#121×C47C2211yescharacteristic
20C22×C42×C47C2211yescharacteristic
21C47×#488—24no—
22C47×#431—24no—
23C2×#107×C47C2211yescharacteristic
24C2×#107×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×#106×C47C2211yescharacteristic
27C2×C4⋊C8×C47C2211yescharacteristic
28C2×C4⋊C8×C47C2211yescharacteristic
29C2×#103×C47C2211yescharacteristic
30C2×#103×C47C2211yescharacteristic
31C2×#103×C47C2211yescharacteristic
32C2×#103×C47C2211yescharacteristic
33C2×#102×C47C2211yescharacteristic
34C2×#102×C47C2211yescharacteristic
35C2×#102×C47C2211yescharacteristic
36C2×#102×C47C2211yescharacteristic
37C2×C22⋊C8×C47C2211yescharacteristic
38C2×C22⋊C8×C47C2211yescharacteristic
39C2×C4×C8×C47C2211yescharacteristic
40C2×C4×C8×C47C2211yescharacteristic
41C47×#391C2211yescharacteristic
42C47×#390C2211yescharacteristic
43C47×#389C2211yescharacteristic
44C47×#389C2211yescharacteristic
45C47×#388—21no—
46C47×#388—21no—
47C47×#387—21no—
48C47×#387—21no—
49C47×#386—21no—
50C47×#386—21no—
51C47×#385—21no—
52C47×#385—21no—
53C47×#382C2211yescharacteristic
54C47×#382C2211yescharacteristic
55C47×#380C2211yescharacteristic
56C47×#380C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#340C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C22×Q8×C47C2311yescharacteristic
62C22×D4×C47—21no—
63C22×D4×C47C2311yescharacteristic
64C23×C4×C47D411yescharacteristic
65C23×C4×C47D411yescharacteristic
66C23×C4×C47C2311yescharacteristic
67C22×C8×C47C2311yescharacteristic
68C22×C8×C47C2311yescharacteristic
69C22×C8×C47C2311yescharacteristic
70C22×C8×C47C2311yescharacteristic
71#125×C47—22no—
72#125×C47—22no—
73#124×C47—22no—
74#124×C47—22no—
75C22⋊Q8×C47—41no—
76C22⋊Q8×C47—41no—
77#121×C47—41no—
78#121×C47—41no—
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×C47C2311yescharacteristic
85C2×C4⋊C4×C47C2311yescharacteristic
86C2×C4⋊C4×C47C2311yescharacteristic
87C2×C4⋊C4×C47C2311yescharacteristic
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C22⋊C4×C47—21no—
91C2×C22⋊C4×C47—21no—
92C2×C22⋊C4×C47—21no—
93C2×C22⋊C4×C47—21no—
94C2×C22⋊C4×C47—21no—
95C2×C22⋊C4×C47—21no—
96C2×C22⋊C4×C47—21no—
97C2×C22⋊C4×C47—21no—
98C2×C42×C47—22no—
99C2×C42×C47—22no—
100C2×C42×C47D411yescharacteristic
101C2×C42×C47D411yescharacteristic
102C2×C42×C47C2311yescharacteristic
103C2×C42×C47C2311yescharacteristic
104#107×C47—41no—
105#107×C47—41no—
106#106×C47—41no—
107#106×C47—41no—
108C4⋊C8×C47—22no—
109C4⋊C8×C47—22no—
110#103×C47—22no—
111#103×C47—22no—
112#103×C47—41no—
113#103×C47—41no—
114#102×C47—22no—
115#102×C47—22no—
116#102×C47—41no—
117#102×C47—41no—
118C22⋊C8×C47—22no—
119C22⋊C8×C47—22no—
120C4×C8×C47—22no—
121C4×C8×C47D414yescomplemented
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—
130#95×C47—21no—
131#95×C47—21no—
132C24×C47—21no—
133C24×C47C2×D411yescharacteristic
134C2×Q8×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—42no—
147C2×D4×C47—42no—
148C2×D4×C47—42no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47—21no—
164C22×C4×C47—21no—
165C22×C4×C47—21no—
166C22×C4×C47—41no—
167C22×C4×C47—41no—
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2411yescharacteristic
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47C2×D412yes—
185C2×C8×C47C2×D412yes—
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—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—42no—
199C4⋊C4×C47—42no—
200C4⋊C4×C47—42no—
201C4⋊C4×C47—42no—
202C4⋊C4×C47—42no—
203C22⋊C4×C47—42no—
204C22⋊C4×C47—42no—
205C22⋊C4×C47—42no—
206C22⋊C4×C47—42no—
207C22⋊C4×C47—42no—
208C22⋊C4×C47—42no—
209C22⋊C4×C47—42no—
210C22⋊C4×C47—42no—
211C42×C47—22no—
212C42×C47—22no—
213C42×C47—21no—
214C42×C47—21no—
215C42×C47C2×D412yes—
216C42×C47#4112yes—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—41no—
230C23×C47#13512yes—
231C23×C47C22×D411yescharacteristic
232Q8×C47—41no—
233Q8×C47—41no—
234Q8×C47—41no—
235Q8×C47—41no—
236D4×C47—41no—
237D4×C47—41no—
238D4×C47—41no—
239D4×C47—41no—
240D4×C47—84no—
241C2×C4×C47—28no—
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—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—44no—
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—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47#12112yes—
281C2×C4×C47#12112yes—
282C2×C4×C47#13512yes—
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47H(5,𝔽2)11yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C2×C4×C472−1+411yescharacteristic
288C2×C4×C472−1+411yescharacteristic
289C8×C47—22no—
290C8×C47—22no—
291C8×C47—41no—
292C8×C47—41no—
293#29846C4711yesmaximal, characteristic, direct product factor, Sylow
294C22×C47—22no—
295C22×C47—22no—
296C22×C47—22no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47—81no—
308C22×C47C2×#12111yescharacteristic
309C22×C47#53511yescharacteristic
310C22×C47#53611yescharacteristic
311C22×C47C2×#13511yescharacteristic
312C22×C47C2×#13511yescharacteristic
313C22×C47#57511yescharacteristic
314C22×C47#57511yescharacteristic
315C4×C47—22no—
316C4×C47—22no—
317C4×C47—22no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47—81no—
321C4×C47—81no—
322C4×C47—81no—
323C4×C47—81no—
324C4×C47—81no—
325C4×C47—81no—
326C4×C47—81no—
327C4×C47#53711yescharacteristic
328C4×C47#53711yescharacteristic
329C4×C47#54211yescharacteristic
330C4×C47#54211yescharacteristic
331C2×#488C2×C4711yescharacteristic, complemented
332C2×#431C2×C4711yescharacteristic, complemented
333#2851C2×C4711yescharacteristic, complemented
334#2850C2×C4711yescharacteristic
335#2068C2×C4711yescharacteristic, complemented
336#2067C2×C4711yescharacteristic, complemented
337#2066C2×C4711yescharacteristic, complemented
338#2065C2×C4711yescharacteristic, complemented
339#2036C2×C4711yescharacteristic, complemented
340#2035C2×C4711yescharacteristic, complemented
341#2034C2×C4711yescharacteristic
342#2033C2×C4711yescharacteristic
343#1991C2×C4711yescharacteristic, complemented
344#1958C2×C4711yescharacteristic, complemented
345#1846C2×C4711yescharacteristic, complemented
346C2×C47—42no—
347C2×C47—161no—
348C2×C47#262011yescharacteristic
349C2×C47#305011yescharacteristic
350C2×C47#305411yescharacteristic
351C2×C47#321111yescharacteristic
352C2×C47#321211yescharacteristic
353C2×C47#323211yescharacteristic
354C2×C47#323311yescharacteristic
355C2×#125C22×C4711yescharacteristic
356C2×#124C22×C4711yescharacteristic
357C2×C22⋊Q8C22×C4711yescharacteristic
358C2×#121C22×C4711yescharacteristic
359C22×C42C22×C4711yescharacteristic
360#488—24no—
361#431—24no—
362C2×#107C22×C4711yescharacteristic
363C2×#107C22×C4711yescharacteristic
364C2×#106C22×C4711yescharacteristic
365C2×#106C22×C4711yescharacteristic
366C2×C4⋊C8C22×C4711yescharacteristic
367C2×C4⋊C8C22×C4711yescharacteristic
368C2×#103C22×C4711yescharacteristic
369C2×#103C22×C4711yescharacteristic
370C2×#103C22×C4711yescharacteristic
371C2×#103C22×C4711yescharacteristic
372C2×#102C22×C4711yescharacteristic
373C2×#102C22×C4711yescharacteristic
374C2×#102C22×C4711yescharacteristic
375C2×#102C22×C4711yescharacteristic
376C2×C22⋊C8C22×C4711yescharacteristic
377C2×C22⋊C8C22×C4711yescharacteristic
378C2×C4×C8C22×C4711yescharacteristic
379C2×C4×C8C22×C4711yescharacteristic
380#391C22×C4711yescharacteristic
381#390C22×C4711yescharacteristic
382#389C22×C4711yescharacteristic
383#389C22×C4711yescharacteristic
384#388—21no—
385#388—21no—
386#387—21no—
387#387—21no—
388#386—21no—
389#386—21no—
390#385—21no—
391#385—21no—
392#382C22×C4711yescharacteristic
393#382C22×C4711yescharacteristic
394#380C22×C4711yescharacteristic
395#380C22×C4711yescharacteristic
396#340C22×C4711yescharacteristic
397#340C22×C4711yescharacteristic
398#340C22×C4711yescharacteristic
399#340C22×C4711yescharacteristic
400C47#2984611yescharacteristic, direct product factor, Sylow
401C22×Q8C23×C4711yescharacteristic
402C22×D4—21no—
403C22×D4C23×C4711yescharacteristic
404C23×C4D4×C4711yescharacteristic
405C23×C4D4×C4711yescharacteristic
406C23×C4C23×C4711yescharacteristic
407C22×C8C23×C4711yescharacteristic
408C22×C8C23×C4711yescharacteristic
409C22×C8C23×C4711yescharacteristic
410C22×C8C23×C4711yescharacteristic
411#125—22no—
412#125—22no—
413#124—22no—
414#124—22no—
415C22⋊Q8—41no—
416C22⋊Q8—41no—
417#121—41no—
418#121—41no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
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⋊C4—21no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42D4×C4711yescharacteristic
441C2×C42D4×C4711yescharacteristic
442C2×C42C23×C4711yescharacteristic
443C2×C42C23×C4711yescharacteristic
444#107—41no—
445#107—41no—
446#106—41no—
447#106—41no—
448C4⋊C8—22no—
449C4⋊C8—22no—
450#103—22no—
451#103—22no—
452#103—41no—
453#103—41no—
454#102—22no—
455#102—22no—
456#102—41no—
457#102—41no—
458C22⋊C8—22no—
459C22⋊C8—22no—
460C4×C8—22no—
461C4×C8D4×C4714yescomplemented
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472C24—21no—
473C24C2×D4×C4711yescharacteristic
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4C2×D4×C4711yescharacteristic
509C22×C4C2×D4×C4711yescharacteristic
510C22×C4C2×D4×C4711yescharacteristic
511C22×C4C2×D4×C4711yescharacteristic
512C22×C4C2×D4×C4711yescharacteristic
513C22×C4C24×C4711yescharacteristic
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8C2×D4×C4712yes—
525C2×C8C2×D4×C4712yes—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C42—22no—
552C42—22no—
553C42—21no—
554C42—21no—
555C42C2×D4×C4712yes—
556C42#41×C4712yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23#135×C4712yes—
571C23C22×D4×C4711yescharacteristic
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—84no—
581C2×C4—28no—
582C2×C4—21no—
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—21no—
593C2×C4—21no—
594C2×C4—44no—
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—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4#121×C4712yes—
621C2×C4#121×C4712yes—
622C2×C4#135×C4712yes—
623C2×C4C22×D4×C4711yescharacteristic
624C2×C4C2×#41×C4711yescharacteristic
625C2×C4H(5,𝔽2)×C4711yescharacteristic
626C2×C4H(5,𝔽2)×C4711yescharacteristic
627C2×C42−1+4×C4711yescharacteristic
628C2×C42−1+4×C4711yescharacteristic
629C8—22no—
630C8—22no—
631C8—41no—
632C8—41no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22C2×#121×C4711yescharacteristic
648C22C47×#53511yescharacteristic
649C22C47×#53611yescharacteristic
650C22C2×#135×C4711yescharacteristic
651C22C2×#135×C4711yescharacteristic
652C22C47×#57511yescharacteristic
653C22C47×#57511yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4C47×#53711yescharacteristic
667C4C47×#53711yescharacteristic
668C4C47×#54211yescharacteristic
669C4C47×#54211yescharacteristic
670C2—42no—
671C2—161no—
672C2C47×#262011yescharacteristic
673C2C47×#305011yescharacteristic
674C2C47×#305411yescharacteristic
675C2C47×#321111yescharacteristic
676C2C47×#321211yescharacteristic
677C2C47×#323211yescharacteristic
678C2C47×#323311yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC2×#121×C47C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C22×C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#488C2semidirect
2. C2×C47×#431C2semidirect
3. C47×#2851C2semidirect
5. C47×#2068C2semidirect
6. C47×#2067C2semidirect
7. C47×#2066C2semidirect
8. C47×#2065C2semidirect
9. C47×#2036C2semidirect
10. C47×#2035C2semidirect
13. C47×#1991C2semidirect
14. C47×#1958C2semidirect
15. C47×#1846C2semidirect
121. C4×C8×C47D4semidirect
293. #29846C47direct (N × H)
331. C2×#488C2×C47semidirect
332. C2×#431C2×C47semidirect
333. #2851C2×C47semidirect
335. #2068C2×C47semidirect
336. #2067C2×C47semidirect
337. #2066C2×C47semidirect
338. #2065C2×C47semidirect
339. #2036C2×C47semidirect
340. #2035C2×C47semidirect
343. #1991C2×C47semidirect
344. #1958C2×C47semidirect
345. #1846C2×C47semidirect
400. C47#29846direct (N × H)
461. 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×#4882
C2×C47×#4312
C47×#28512
C47×#28502
C47×#20682
C47×#20672
C47×#20662
C47×#20652
C47×#20362
C47×#20352
C47×#20342
C47×#20332
C47×#19912
C47×#19582
C47×#18462
#2984647