Finite Group Databasebeta

← C47×#29377 #26069075

Subgroups — C47×#29377 #26069075

Order 12032.

812 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#2328C211yesmaximal, characteristic
2C47×#2320C211yesmaximal, characteristic, complemented
3C47×#2101C211yesmaximal, characteristic, complemented
4C47×#2097C211yesmaximal, characteristic, complemented
5C47×#2041C211yesmaximal, characteristic
6C47×#2014C211yesmaximal, characteristic
7C47×#1926C211yesmaximal, characteristic, complemented
8C47×#1925C211yesmaximal, characteristic, complemented
9C47×#1880C211yesmaximal, characteristic, complemented
10C47×#1880C211yesmaximal, characteristic, complemented
11C47×#1877C211yesmaximal, characteristic, complemented
12C47×#1877C211yesmaximal, characteristic, complemented
13C47×#1864C211yesmaximal, characteristic, complemented
14C47×#1862C211yesmaximal, characteristic, complemented
15C47×#1840C211yesmaximal, characteristic, complemented
16C22×SD16×C47C2211yescharacteristic
17C22×SD16×C47C2211yescharacteristic
18C2×#127×C47C2211yescharacteristic
19C2×C4×Q8×C47C2211yescharacteristic
20C2×C4×D4×C47C2211yescharacteristic
21C2×C4×D4×C47C2211yescharacteristic
22C2×#107×C47C2211yescharacteristic
23C2×#106×C47C2211yescharacteristic
24C2×#103×C47C2211yescharacteristic
25C2×#103×C47C2211yescharacteristic
26C2×#102×C47C2211yescharacteristic
27C2×#102×C47C2211yescharacteristic
28C2×#102×C47C2211yescharacteristic
29C2×#102×C47C2211yescharacteristic
30C2×#102×C47C2211yescharacteristic
31C2×#102×C47C2211yescharacteristic
32C47×#391C2211yescharacteristic
33C47×#391C2211yescharacteristic
34C47×#390C2211yescharacteristic
35C47×#390C2211yescharacteristic
36C47×#389C2211yescharacteristic
37C47×#389C2211yescharacteristic
38C47×#387—21no—
39C47×#387—21no—
40C47×#386—21no—
41C47×#386—21no—
42C47×#386—21no—
43C47×#386—21no—
44C47×#383—21no—
45C47×#382—21no—
46C47×#382C2211yescharacteristic
47C4×C4⋊C4×C47C2211yescharacteristic
48C47×#376C2211yescharacteristic
49C47×#340C2211yescharacteristic
50C47×#340C2211yescharacteristic
51C47×#340C2211yescharacteristic
52C47×#340C2211yescharacteristic
53C47×#336C2211yescharacteristic
54C47×#336C2211yescharacteristic
55C47×#336C2211yescharacteristic
56C47×#336C2211yescharacteristic
57C47×#336C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C22×Q8×C47C2311yescharacteristic
60C22×D4×C47—21no—
61C22×D4×C47—21no—
62C22×D4×C47C2311yescharacteristic
63C22×D4×C47C2311yescharacteristic
64C23×C4×C47—21no—
65C23×C4×C47—21no—
66C2×SD16×C47—22no—
67C2×SD16×C47—22no—
68C2×SD16×C47—22no—
69C2×SD16×C47—22no—
70C2×SD16×C47—41no—
71C2×SD16×C47—41no—
72C22×C8×C47C2311yescharacteristic
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75C22×C8×C47C2311yescharacteristic
76#127×C47—22no—
77#127×C47—22no—
78C4×Q8×C47—22no—
79C4×Q8×C47—22no—
80C4×D4×C47—41no—
81C4×D4×C47—41no—
82C4×D4×C47—41no—
83C4×D4×C47—41no—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47C2311yescharacteristic
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
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—21no—
99C2×C42×C47—21no—
100C2×C42×C47C2311yescharacteristic
101C2×C42×C47C2311yescharacteristic
102C2×C42×C47C2311yescharacteristic
103#107×C47—41no—
104#106×C47—41no—
105#103×C47—41no—
106#103×C47—41no—
107#102×C47—22no—
108#102×C47—22no—
109#102×C47—22no—
110#102×C47—22no—
111#102×C47—41no—
112#102×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—
121#95×C47—21no—
122#95×C47D411yescharacteristic
123#95×C47D411yescharacteristic
124#95×C47D411yescharacteristic
125#95×C47D411yescharacteristic
126C24×C47—21no—
127C24×C47—21no—
128C2×Q8×C47—21no—
129C2×Q8×C47—21no—
130C2×Q8×C47—21no—
131C2×Q8×C47—21no—
132C2×Q8×C47—21no—
133C2×Q8×C47#4112yes—
134C2×D4×C47—24no—
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—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—81no—
147C2×D4×C47—81no—
148C2×D4×C47—81no—
149C2×D4×C47—81no—
150C2×D4×C47#4112yes—
151C2×D4×C47#4112yes—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—42no—
159C22×C4×C47—42no—
160C22×C4×C47—81no—
161C22×C4×C47—81no—
162C22×C4×C47—81no—
163C22×C4×C47—81no—
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2411yescharacteristic
171SD16×C47—44no—
172SD16×C47—44no—
173C2×C8×C47—21no—
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×C47—21no—
185C4⋊C4×C47—24no—
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—81no—
196C4⋊C4×C47—81no—
197C4⋊C4×C47#4112yes—
198C22⋊C4×C47—42no—
199C22⋊C4×C47—42no—
200C22⋊C4×C47—81no—
201C22⋊C4×C47—81no—
202C22⋊C4×C47—81no—
203C22⋊C4×C47—81no—
204C42×C47—24no—
205C42×C47—21no—
206C42×C47—21no—
207C42×C47—21no—
208C42×C47—21no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—81no—
212C23×C47—22no—
213C23×C47—22no—
214C23×C47—41no—
215C23×C47—41no—
216C23×C47—41no—
217C23×C47—41no—
218C23×C47—41no—
219C23×C47—41no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47C22×D411yescharacteristic
227Q8×C47—22no—
228Q8×C47—22no—
229Q8×C47—41no—
230Q8×C47—41no—
231D4×C47—22no—
232D4×C47—22no—
233D4×C47—22no—
234D4×C47—22no—
235D4×C47—41no—
236D4×C47—41no—
237D4×C47—41no—
238D4×C47—41no—
239D4×C47—84no—
240D4×C47—84no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
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—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
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—84no—
278C2×C4×C47—84no—
279C2×C4×C47C2×#4111yescharacteristic
280C2×C4×C47C2×#4111yescharacteristic
281C2×C4×C47C2×#4111yescharacteristic
282C2×C4×C47C2×#4111yescharacteristic
283C2×C4×C47H(5,𝔽2)11yescharacteristic
284C2×C4×C47H(5,𝔽2)11yescharacteristic
285C8×C47—41no—
286C8×C47—41no—
287C8×C47—41no—
288C8×C47—41no—
289#29377C4711yesmaximal, characteristic, direct product factor, Sylow
290C22×C47—42no—
291C22×C47—42no—
292C22×C47—42no—
293C22×C47—42no—
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—81no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47—81no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47#52511yescharacteristic
305C22×C47#52511yescharacteristic
306C22×C47#53511yescharacteristic
307C22×C47#57611yescharacteristic
308C22×C47#57711yescharacteristic
309C22×C47#57711yescharacteristic
310C22×C47#57711yescharacteristic
311C4×C47—42no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—42no—
315C4×C47—41no—
316C4×C47—41no—
317C4×C47—41no—
318C4×C47—41no—
319C4×C47—81no—
320C4×C47—81no—
321C4×C47—81no—
322C4×C47—81no—
323C4×C47#55111yescharacteristic
324C4×C47#55111yescharacteristic
325C4×C47#55311yescharacteristic
326C4×C47#55311yescharacteristic
327#2328C2×C4711yescharacteristic
328#2320C2×C4711yescharacteristic, complemented
329#2101C2×C4711yescharacteristic, complemented
330#2097C2×C4711yescharacteristic, complemented
331#2041C2×C4711yescharacteristic
332#2014C2×C4711yescharacteristic
333#1926C2×C4711yescharacteristic, complemented
334#1925C2×C4711yescharacteristic, complemented
335#1880C2×C4711yescharacteristic, complemented
336#1880C2×C4711yescharacteristic, complemented
337#1877C2×C4711yescharacteristic, complemented
338#1877C2×C4711yescharacteristic, complemented
339#1864C2×C4711yescharacteristic, complemented
340#1862C2×C4711yescharacteristic, complemented
341#1840C2×C4711yescharacteristic, complemented
342C2×C47—82no—
343C2×C47—82no—
344C2×C47#259811yescharacteristic
345C2×C47#311811yescharacteristic
346C2×C47#311911yescharacteristic
347C2×C47#312311yescharacteristic
348C2×C47#312611yescharacteristic
349C2×C47#322211yescharacteristic
350C2×C47#322411yescharacteristic
351C22×SD16C22×C4711yescharacteristic
352C22×SD16C22×C4711yescharacteristic
353C2×#127C22×C4711yescharacteristic
354C2×C4×Q8C22×C4711yescharacteristic
355C2×C4×D4C22×C4711yescharacteristic
356C2×C4×D4C22×C4711yescharacteristic
357C2×#107C22×C4711yescharacteristic
358C2×#106C22×C4711yescharacteristic
359C2×#103C22×C4711yescharacteristic
360C2×#103C22×C4711yescharacteristic
361C2×#102C22×C4711yescharacteristic
362C2×#102C22×C4711yescharacteristic
363C2×#102C22×C4711yescharacteristic
364C2×#102C22×C4711yescharacteristic
365C2×#102C22×C4711yescharacteristic
366C2×#102C22×C4711yescharacteristic
367#391C22×C4711yescharacteristic
368#391C22×C4711yescharacteristic
369#390C22×C4711yescharacteristic
370#390C22×C4711yescharacteristic
371#389C22×C4711yescharacteristic
372#389C22×C4711yescharacteristic
373#387—21no—
374#387—21no—
375#386—21no—
376#386—21no—
377#386—21no—
378#386—21no—
379#383—21no—
380#382—21no—
381#382C22×C4711yescharacteristic
382C4×C4⋊C4C22×C4711yescharacteristic
383#376C22×C4711yescharacteristic
384#340C22×C4711yescharacteristic
385#340C22×C4711yescharacteristic
386#340C22×C4711yescharacteristic
387#340C22×C4711yescharacteristic
388#336C22×C4711yescharacteristic
389#336C22×C4711yescharacteristic
390#336C22×C4711yescharacteristic
391#336C22×C4711yescharacteristic
392#336C22×C4711yescharacteristic
393#336C22×C4711yescharacteristic
394C47#2937711yescharacteristic, direct product factor, Sylow
395C22×Q8C23×C4711yescharacteristic
396C22×D4—21no—
397C22×D4—21no—
398C22×D4C23×C4711yescharacteristic
399C22×D4C23×C4711yescharacteristic
400C23×C4—21no—
401C23×C4—21no—
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C22×C8C23×C4711yescharacteristic
409C22×C8C23×C4711yescharacteristic
410C22×C8C23×C4711yescharacteristic
411C22×C8C23×C4711yescharacteristic
412#127—22no—
413#127—22no—
414C4×Q8—22no—
415C4×Q8—22no—
416C4×D4—41no—
417C4×D4—41no—
418C4×D4—41no—
419C4×D4—41no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4C23×C4711yescharacteristic
424C2×C4⋊C4C23×C4711yescharacteristic
425C2×C4⋊C4C23×C4711yescharacteristic
426C2×C4⋊C4C23×C4711yescharacteristic
427C2×C4⋊C4C23×C4711yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42C23×C4711yescharacteristic
437C2×C42C23×C4711yescharacteristic
438C2×C42C23×C4711yescharacteristic
439#107—41no—
440#106—41no—
441#103—41no—
442#103—41no—
443#102—22no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—41no—
448#102—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95D4×C4711yescharacteristic
459#95D4×C4711yescharacteristic
460#95D4×C4711yescharacteristic
461#95D4×C4711yescharacteristic
462C24—21no—
463C24—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8#41×C4712yes—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—81no—
483C2×D4—81no—
484C2×D4—81no—
485C2×D4—81no—
486C2×D4#41×C4712yes—
487C2×D4#41×C4712yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4C2×D4×C4711yescharacteristic
501C22×C4C2×D4×C4711yescharacteristic
502C22×C4C2×D4×C4711yescharacteristic
503C22×C4C2×D4×C4711yescharacteristic
504C22×C4C2×D4×C4711yescharacteristic
505C22×C4C2×D4×C4711yescharacteristic
506C22×C4C24×C4711yescharacteristic
507SD16—44no—
508SD16—44no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C4⋊C4—24no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—81no—
532C4⋊C4—81no—
533C4⋊C4#41×C4712yes—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C42—24no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—81no—
548C23—22no—
549C23—22no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23C22×D4×C4711yescharacteristic
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567D4—22no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—84no—
576D4—84no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—21no—
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—21no—
595C2×C4—21no—
596C2×C4—21no—
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—84no—
614C2×C4—84no—
615C2×C4C2×#41×C4711yescharacteristic
616C2×C4C2×#41×C4711yescharacteristic
617C2×C4C2×#41×C4711yescharacteristic
618C2×C4C2×#41×C4711yescharacteristic
619C2×C4H(5,𝔽2)×C4711yescharacteristic
620C2×C4H(5,𝔽2)×C4711yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C47×#52511yescharacteristic
640C22C47×#52511yescharacteristic
641C22C47×#53511yescharacteristic
642C22C47×#57611yescharacteristic
643C22C47×#57711yescharacteristic
644C22C47×#57711yescharacteristic
645C22C47×#57711yescharacteristic
646C4—42no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C47×#55111yescharacteristic
659C4C47×#55111yescharacteristic
660C4C47×#55311yescharacteristic
661C4C47×#55311yescharacteristic
662C2—82no—
663C2—82no—
664C2C47×#259811yescharacteristic
665C2C47×#311811yescharacteristic
666C2C47×#311911yescharacteristic
667C2C47×#312311yescharacteristic
668C2C47×#312611yescharacteristic
669C2C47×#322211yescharacteristic
670C2C47×#322411yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC2×#127×C47C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C47×#376 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2320C2semidirect
3. C47×#2101C2semidirect
4. C47×#2097C2semidirect
7. C47×#1926C2semidirect
8. C47×#1925C2semidirect
9. C47×#1880C2semidirect
10. C47×#1880C2semidirect
11. C47×#1877C2semidirect
12. C47×#1877C2semidirect
13. C47×#1864C2semidirect
14. C47×#1862C2semidirect
15. C47×#1840C2semidirect
289. #29377C47direct (N × H)
328. #2320C2×C47semidirect
329. #2101C2×C47semidirect
330. #2097C2×C47semidirect
333. #1926C2×C47semidirect
334. #1925C2×C47semidirect
335. #1880C2×C47semidirect
336. #1880C2×C47semidirect
337. #1877C2×C47semidirect
338. #1877C2×C47semidirect
339. #1864C2×C47semidirect
340. #1862C2×C47semidirect
341. #1840C2×C47semidirect
394. C47#29377direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#23282
C47×#23202
C47×#21012
C47×#20972
C47×#20412
C47×#20142
C47×#19262
C47×#19252
C47×#18802
C47×#18772
C47×#18642
C47×#18622
C47×#18402
#2937747