Finite Group Databasebeta

← C47×#19891 #26059589

Subgroups — C47×#19891 #26059589

Order 12032.

686 conjugacy classes of subgroups.

The subgroup lattice has 622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3384C211yesmaximal, characteristic, complemented
2C47×#3298C211yesmaximal, characteristic, complemented
3C47×#3295C211yesmaximal, characteristic, complemented
4C47×#3272C211yesmaximal, characteristic
5C47×#1708C211yesmaximal, characteristic, complemented
6C47×#1691C211yesmaximal, characteristic, complemented
7C47×#1686C211yesmaximal, characteristic, complemented
8C47×#1679C211yesmaximal, characteristic, complemented
9C47×#1677C211yesmaximal, characteristic, complemented
10C47×#1643C211yesmaximal, characteristic, complemented
11C47×#1639C211yesmaximal, characteristic, complemented
12C47×#1635C211yesmaximal, characteristic, complemented
13C47×#1627C211yesmaximal, characteristic, complemented
14C47×#1590C211yesmaximal, characteristic, complemented
15C8×D8×C47C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C47×#554C2211yescharacteristic
18D4×Q8×C47C2211yescharacteristic, complemented
19C47×#547C2211yescharacteristic
20D42×C47C2211yescharacteristic
21C47×#501—21no—
22C47×#498C2211yescharacteristic, complemented
23C47×#492C2211yescharacteristic
24C47×#487C2211yescharacteristic, complemented
25C47×#487C2211yescharacteristic, complemented
26C47×#486C2211yescharacteristic
27C47×#486C2211yescharacteristic
28C47×#483—21no—
29C47×#481—21no—
30C47×#478—21no—
31C47×#476—21no—
32C47×#476C2211yescharacteristic
33C47×#476C2211yescharacteristic, complemented
34C47×#475C2211yescharacteristic, complemented
35C47×#474C2211yescharacteristic
36C47×#468—21no—
37C47×#465—21no—
38C47×#465—21no—
39C47×#461C2211yescharacteristic
40C47×#461C2211yescharacteristic
41C47×#460C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#450—21no—
44C47×#450—21no—
45C47×#449—21no—
46C47×#448—21no—
47C47×#446C2211yescharacteristic, complemented
48C47×#442—21no—
49C4×SD16×C47C2211yescharacteristic
50C4×D8×C47C2211yescharacteristic
51C47×#436C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic, complemented
54C2×#103×C47—21no—
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#332C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic
65C47×D4⋊C8C2211yescharacteristic, complemented
66C82×C47C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C22×Q8×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71AGL(1,ℤ/8)×C47—44no—
72C2×SD16×C47—21no—
73C2×SD16×C47—21no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47D411yescharacteristic
78C2×D8×C47—21no—
79C2×D8×C47D411yescharacteristic
80C2×M16×C47—21no—
81C22×C8×C47—21no—
82C22×C8×C47—21no—
83C4⋊Q8×C47—21no—
84C4⋊Q8×C47C2311yescharacteristic
85C4⋊Q8×C47C2311yescharacteristic
86C4⋊Q8×C47C2311yescharacteristic
87#127×C47C2311yescharacteristic
88#125×C47—21no—
89#123×C47—41no—
90C22⋊Q8×C47—21no—
91C22⋊Q8×C47—21no—
92C22⋊Q8×C47—21no—
93C22⋊Q8×C47—41no—
94C22⋊Q8×C47—41no—
95#121×C47—21no—
96#121×C47—21no—
97#121×C47—21no—
98#120×C47—41no—
99C4×Q8×C47C2311yescharacteristic
100C4×D4×C47—21no—
101C4×D4×C47—21no—
102C4×D4×C47C2311yescharacteristic
103C4×D4×C47C2311yescharacteristic
104C4×D4×C47C2311yescharacteristic
105C2×C4⋊C4×C47—21no—
106C2×C4⋊C4×C47—21no—
107#107×C47—21no—
108#107×C47D411yescharacteristic
109#106×C47—21no—
110#106×C47—21no—
111#106×C47—21no—
112#106×C47—21no—
113#106×C47—21no—
114#106×C47D411yescharacteristic
115C4⋊C8×C47—21no—
116C4⋊C8×C47C2311yescharacteristic
117C4⋊C8×C47C2311yescharacteristic
118C4⋊C8×C47C2311yescharacteristic
119C4⋊C8×C47C2311yescharacteristic
120#103×C47—21no—
121#103×C47—21no—
122#103×C47—21no—
123#103×C47—21no—
124#103×C47—21no—
125#103×C47—41no—
126#103×C47D411yescharacteristic
127#102×C47—21no—
128#102×C47—21no—
129#102×C47—21no—
130#102×C47—21no—
131#102×C47—21no—
132#102×C47—21no—
133#102×C47—21no—
134#102×C47—41no—
135#102×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138C22⋊C8×C47—21no—
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141#97×C47—21no—
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C24×C47—41no—
146#41×C47—42no—
147#41×C47—81no—
148C2×Q8×C47—21no—
149C2×Q8×C47—21no—
150C2×Q8×C47—21no—
151C2×Q8×C47—41no—
152C2×Q8×C47—42no—
153C2×Q8×C47—81no—
154C2×Q8×C47C2×D411yescharacteristic
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—41no—
159C2×D4×C47—41no—
160C2×D4×C47—42no—
161C2×D4×C47—42no—
162C2×D4×C47—41no—
163C2×D4×C47—81no—
164C2×D4×C47—81no—
165C2×D4×C47C2×D411yescharacteristic
166C2×D4×C47C2×D411yescharacteristic
167C2×D4×C47C2×D411yescharacteristic
168C22×C4×C47—21no—
169C22×C4×C47—21no—
170C22×C4×C47—21no—
171C22×C4×C47—41no—
172C22×C4×C47—41no—
173C22×C4×C47—41no—
174SD16×C47—41no—
175SD16×C47—42no—
176SD16×C47—42no—
177SD16×C47—81no—
178SD16×C47—81no—
179SD16×C47—81no—
180D8×C47—42no—
181D8×C47SD1614yescomplemented
182M16×C47—42no—
183C2×C8×C47—21no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47—81no—
189C2×C8×C47—81no—
190C2×C8×C47C2×D411yescharacteristic
191C2×C8×C47C2×D411yescharacteristic
192C2×C8×C47C2×D411yescharacteristic
193C2×C8×C47C2×D411yescharacteristic
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47—21no—
200C4⋊C4×C47—21no—
201C4⋊C4×C47—41no—
202C4⋊C4×C47—41no—
203C4⋊C4×C47—41no—
204C4⋊C4×C47—41no—
205C4⋊C4×C47C2×D411yescharacteristic
206C4⋊C4×C47C2×D411yescharacteristic
207C4⋊C4×C47C2×D411yescharacteristic
208C4⋊C4×C47C2×D411yescharacteristic
209C22⋊C4×C47—21no—
210C22⋊C4×C47—21no—
211C22⋊C4×C47—21no—
212C22⋊C4×C47—41no—
213C22⋊C4×C47—41no—
214C22⋊C4×C47—41no—
215C22⋊C4×C47—41no—
216C42×C47—21no—
217C42×C47C2411yescharacteristic
218C23×C47—21no—
219C23×C47—21no—
220C23×C47—21no—
221C23×C47—41no—
222C23×C47—82no—
223C23×C47—82no—
224C23×C47—161no—
225Q8×C47—21no—
226Q8×C47—21no—
227Q8×C47—41no—
228Q8×C47—41no—
229Q8×C47—41no—
230Q8×C47—41no—
231Q8×C47—81no—
232Q8×C47—82no—
233D4×C47—21no—
234D4×C47—21no—
235D4×C47—21no—
236D4×C47—21no—
237D4×C47—41no—
238D4×C47—41no—
239D4×C47—41no—
240D4×C47—41no—
241D4×C47—81no—
242D4×C47—82no—
243D4×C47—82no—
244D4×C47—82no—
245D4×C47C2×SD1612yes—
246D4×C47C2×SD1612yes—
247C2×C4×C47—21no—
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—82no—
262C2×C4×C47—82no—
263C2×C4×C47—161no—
264C2×C4×C47C22×D411yescharacteristic
265C2×C4×C47C22×D411yescharacteristic
266C2×C4×C47H(5,𝔽2)11yescharacteristic
267C8×C47—21no—
268C8×C47—21no—
269C8×C47—21no—
270C8×C47—41no—
271C8×C47—41no—
272C8×C47—41no—
273C8×C47—41no—
274C8×C47—41no—
275C8×C47C2×SD1612yes—
276#19891C4711yesmaximal, characteristic, direct product factor, Sylow
277C22×C47—22no—
278C22×C47—22no—
279C22×C47—41no—
280C22×C47—41no—
281C22×C47—41no—
282C22×C47—41no—
283C22×C47—41no—
284C22×C47—41no—
285C22×C47—41no—
286C22×C47—81no—
287C22×C47—81no—
288C22×C47—81no—
289C22×C47—164no—
290C22×C47D4211yescharacteristic
291C4×C47—21no—
292C4×C47—41no—
293C4×C47—41no—
294C4×C47—41no—
295C4×C47—41no—
296C4×C47—41no—
297C4×C47—81no—
298C4×C47—81no—
299C4×C47—81no—
300C4×C47C22×SD1611yescharacteristic
301C4×C47#57511yescharacteristic
302C4×C47#57611yescharacteristic
303C4×C47#57711yescharacteristic
304#3384C2×C4711yescharacteristic, complemented
305#3298C2×C4711yescharacteristic, complemented
306#3295C2×C4711yescharacteristic, complemented
307#3272C2×C4711yescharacteristic
308#1708C2×C4711yescharacteristic, complemented
309#1691C2×C4711yescharacteristic, complemented
310#1686C2×C4711yescharacteristic, complemented
311#1679C2×C4711yescharacteristic, complemented
312#1677C2×C4711yescharacteristic, complemented
313#1643C2×C4711yescharacteristic, complemented
314#1639C2×C4711yescharacteristic, complemented
315#1635C2×C4711yescharacteristic, complemented
316#1627C2×C4711yescharacteristic, complemented
317#1590C2×C4711yescharacteristic, complemented
318C8×D8C2×C4711yescharacteristic, complemented
319C2×C47—42no—
320C2×C47—42no—
321C2×C47—81no—
322C2×C47—161no—
323C2×C47#327311yescharacteristic
324C2×C47D4×SD1611yescharacteristic
325C2×C47#329011yescharacteristic
326C2×AGL(1,ℤ/8)—21no—
327#554C22×C4711yescharacteristic
328D4×Q8C22×C4711yescharacteristic, complemented
329#547C22×C4711yescharacteristic
330D42C22×C4711yescharacteristic
331#501—21no—
332#498C22×C4711yescharacteristic, complemented
333#492C22×C4711yescharacteristic
334#487C22×C4711yescharacteristic, complemented
335#487C22×C4711yescharacteristic, complemented
336#486C22×C4711yescharacteristic
337#486C22×C4711yescharacteristic
338#483—21no—
339#481—21no—
340#478—21no—
341#476—21no—
342#476C22×C4711yescharacteristic
343#476C22×C4711yescharacteristic, complemented
344#475C22×C4711yescharacteristic, complemented
345#474C22×C4711yescharacteristic
346#468—21no—
347#465—21no—
348#465—21no—
349#461C22×C4711yescharacteristic
350#461C22×C4711yescharacteristic
351#460C22×C4711yescharacteristic
352#459C22×C4711yescharacteristic
353#450—21no—
354#450—21no—
355#449—21no—
356#448—21no—
357#446C22×C4711yescharacteristic, complemented
358#442—21no—
359C4×SD16C22×C4711yescharacteristic
360C4×D8C22×C4711yescharacteristic
361#436C22×C4711yescharacteristic
362C8×D4C22×C4711yescharacteristic
363C8×D4C22×C4711yescharacteristic, complemented
364C2×#103—21no—
365C2×#102—21no—
366#335C22×C4711yescharacteristic, complemented
367#334C22×C4711yescharacteristic, complemented
368#333C22×C4711yescharacteristic, complemented
369#332C22×C4711yescharacteristic, complemented
370#332C22×C4711yescharacteristic, complemented
371#331C22×C4711yescharacteristic
372Q8⋊C8C22×C4711yescharacteristic, complemented
373D4⋊C8C22×C4711yescharacteristic
374D4⋊C8C22×C4711yescharacteristic
375D4⋊C8C22×C4711yescharacteristic, complemented
376C82C22×C4711yescharacteristic, complemented
377C47#1989111yescharacteristic, direct product factor, Sylow
378C2×#41—21no—
379C22×Q8—21no—
380C22×D4—21no—
381C22×D4—21no—
382AGL(1,ℤ/8)—44no—
383C2×SD16—21no—
384C2×SD16—21no—
385C2×SD16—21no—
386C2×SD16—21no—
387C2×SD16—21no—
388C2×SD16D4×C4711yescharacteristic
389C2×D8—21no—
390C2×D8D4×C4711yescharacteristic
391C2×M16—21no—
392C22×C8—21no—
393C22×C8—21no—
394C4⋊Q8—21no—
395C4⋊Q8C23×C4711yescharacteristic
396C4⋊Q8C23×C4711yescharacteristic
397C4⋊Q8C23×C4711yescharacteristic
398#127C23×C4711yescharacteristic
399#125—21no—
400#123—41no—
401C22⋊Q8—21no—
402C22⋊Q8—21no—
403C22⋊Q8—21no—
404C22⋊Q8—41no—
405C22⋊Q8—41no—
406#121—21no—
407#121—21no—
408#121—21no—
409#120—41no—
410C4×Q8C23×C4711yescharacteristic
411C4×D4—21no—
412C4×D4—21no—
413C4×D4C23×C4711yescharacteristic
414C4×D4C23×C4711yescharacteristic
415C4×D4C23×C4711yescharacteristic
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418#107—21no—
419#107D4×C4711yescharacteristic
420#106—21no—
421#106—21no—
422#106—21no—
423#106—21no—
424#106—21no—
425#106D4×C4711yescharacteristic
426C4⋊C8—21no—
427C4⋊C8C23×C4711yescharacteristic
428C4⋊C8C23×C4711yescharacteristic
429C4⋊C8C23×C4711yescharacteristic
430C4⋊C8C23×C4711yescharacteristic
431#103—21no—
432#103—21no—
433#103—21no—
434#103—21no—
435#103—21no—
436#103—41no—
437#103D4×C4711yescharacteristic
438#102—21no—
439#102—21no—
440#102—21no—
441#102—21no—
442#102—21no—
443#102—21no—
444#102—21no—
445#102—41no—
446#102D4×C4711yescharacteristic
447#102D4×C4711yescharacteristic
448#102D4×C4711yescharacteristic
449C22⋊C8—21no—
450C22⋊C8—21no—
451C22⋊C8—21no—
452#97—21no—
453C4×C8C23×C4711yescharacteristic
454C4×C8C23×C4711yescharacteristic
455C4×C8C23×C4711yescharacteristic
456C24—41no—
457#41—42no—
458#41—81no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—41no—
463C2×Q8—42no—
464C2×Q8—81no—
465C2×Q8C2×D4×C4711yescharacteristic
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—41no—
470C2×D4—41no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—41no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4C2×D4×C4711yescharacteristic
477C2×D4C2×D4×C4711yescharacteristic
478C2×D4C2×D4×C4711yescharacteristic
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485SD16—41no—
486SD16—42no—
487SD16—42no—
488SD16—81no—
489SD16—81no—
490SD16—81no—
491D8—42no—
492D8SD16×C4714yescomplemented
493M16—42no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—81no—
500C2×C8—81no—
501C2×C8C2×D4×C4711yescharacteristic
502C2×C8C2×D4×C4711yescharacteristic
503C2×C8C2×D4×C4711yescharacteristic
504C2×C8C2×D4×C4711yescharacteristic
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4C2×D4×C4711yescharacteristic
517C4⋊C4C2×D4×C4711yescharacteristic
518C4⋊C4C2×D4×C4711yescharacteristic
519C4⋊C4C2×D4×C4711yescharacteristic
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—41no—
526C22⋊C4—41no—
527C42—21no—
528C42C24×C4711yescharacteristic
529C23—21no—
530C23—21no—
531C23—21no—
532C23—41no—
533C23—82no—
534C23—82no—
535C23—161no—
536Q8—21no—
537Q8—21no—
538Q8—41no—
539Q8—41no—
540Q8—41no—
541Q8—41no—
542Q8—81no—
543Q8—82no—
544D4—21no—
545D4—21no—
546D4—21no—
547D4—21no—
548D4—41no—
549D4—41no—
550D4—41no—
551D4—41no—
552D4—81no—
553D4—82no—
554D4—82no—
555D4—82no—
556D4C2×SD16×C4712yes—
557D4C2×SD16×C4712yes—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—82no—
573C2×C4—82no—
574C2×C4—161no—
575C2×C4C22×D4×C4711yescharacteristic
576C2×C4C22×D4×C4711yescharacteristic
577C2×C4H(5,𝔽2)×C4711yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—41no—
582C8—41no—
583C8—41no—
584C8—41no—
585C8—41no—
586C8C2×SD16×C4712yes—
587C22—22no—
588C22—22no—
589C22—41no—
590C22—41no—
591C22—41no—
592C22—41no—
593C22—41no—
594C22—41no—
595C22—41no—
596C22—81no—
597C22—81no—
598C22—81no—
599C22—164no—
600C22D42×C4711yescharacteristic
601C4—21no—
602C4—41no—
603C4—41no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—81no—
608C4—81no—
609C4—81no—
610C4C22×SD16×C4711yescharacteristic
611C4C47×#57511yescharacteristic
612C4C47×#57611yescharacteristic
613C4C47×#57711yescharacteristic
614C2—42no—
615C2—42no—
616C2—81no—
617C2—161no—
618C2C47×#327311yescharacteristic
619C2D4×SD16×C4711yescharacteristic
620C2C47×#329011yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
prime radicalC47×#3272C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3384C2semidirect
2. C47×#3298C2semidirect
3. C47×#3295C2semidirect
5. C47×#1708C2semidirect
6. C47×#1691C2semidirect
7. C47×#1686C2semidirect
8. C47×#1679C2semidirect
9. C47×#1677C2semidirect
10. C47×#1643C2semidirect
11. C47×#1639C2semidirect
12. C47×#1635C2semidirect
13. C47×#1627C2semidirect
14. C47×#1590C2semidirect
15. C8×D8×C47C2semidirect
18. D4×Q8×C47C22semidirect
22. C47×#498C22semidirect
24. C47×#487C22semidirect
25. C47×#487C22semidirect
33. C47×#476C22semidirect
34. C47×#475C22semidirect
47. C47×#446C22semidirect
53. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
60. C47×#332C22semidirect
62. C47×Q8⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C82×C47C22semidirect
181. D8×C47SD16semidirect
276. #19891C47direct (N × H)
304. #3384C2×C47semidirect
305. #3298C2×C47semidirect
306. #3295C2×C47semidirect
308. #1708C2×C47semidirect
309. #1691C2×C47semidirect
310. #1686C2×C47semidirect
311. #1679C2×C47semidirect
312. #1677C2×C47semidirect
313. #1643C2×C47semidirect
314. #1639C2×C47semidirect
315. #1635C2×C47semidirect
316. #1627C2×C47semidirect
317. #1590C2×C47semidirect
318. C8×D8C2×C47semidirect
328. D4×Q8C22×C47semidirect
332. #498C22×C47semidirect
334. #487C22×C47semidirect
335. #487C22×C47semidirect
343. #476C22×C47semidirect
344. #475C22×C47semidirect
357. #446C22×C47semidirect
363. C8×D4C22×C47semidirect
366. #335C22×C47semidirect
367. #334C22×C47semidirect
368. #333C22×C47semidirect
369. #332C22×C47semidirect
370. #332C22×C47semidirect
372. Q8⋊C8C22×C47semidirect
375. D4⋊C8C22×C47semidirect
376. C82C22×C47semidirect
377. C47#19891direct (N × H)
492. D8SD16×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33842
C47×#32982
C47×#32952
C47×#32722
C47×#17082
C47×#16912
C47×#16862
C47×#16792
C47×#16772
C47×#16432
C47×#16392
C47×#16352
C47×#16272
C47×#15902
C8×D8×C472
#1989147