Finite Group Databasebeta

← C47×#18346 #26058044

Subgroups — C47×#18346 #26058044

Order 12032.

1150 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3490C211yesmaximal, characteristic, complemented
2C47×#3194C212yesmaximal, complemented
3C47×#2617C211yesmaximal, characteristic, complemented
4C47×#1612C212yesmaximal, complemented
5C47×#1608C211yesmaximal, characteristic, complemented
6C47×#1607C211yesmaximal, characteristic, complemented
7C47×#1600C212yesmaximal, complemented
8C47×#1596C211yesmaximal, characteristic, complemented
9C47×#1595C211yesmaximal, characteristic, complemented
10C47×#1513C212yesmaximal, complemented
11C47×#1462C211yesmaximal, characteristic, complemented
12C47×#551—22no—
13C47×#551—22no—
14C47×#546—22no—
15C47×#546—22no—
16C47×#543C2211yescharacteristic
17C47×#538—21no—
18C47×#538C2212yes—
19C47×#534C2211yescharacteristic
20C47×#525—21no—
21C47×#525C2212yes—
22C2×#121×C47C2211yescharacteristic, complemented
23C2×#120×C47—21no—
24C2×#120×C47—21no—
25C47×#518—21no—
26C22×C22⋊C4×C47C2211yescharacteristic
27C47×#483C2212yescomplemented
28C47×#482—22no—
29C47×#480C2212yescomplemented
30C47×#469—22no—
31C47×#468—22no—
32C47×#450C2212yescomplemented
33C47×#449—22no—
34C47×#447C2212yescomplemented
35C47×#407C2212yescomplemented
36C47×#397C2211yescharacteristic
37C47×#397C2211yescharacteristic, complemented
38C47×#394—21no—
39C47×#394—21no—
40C47×#392C2211yescharacteristic
41C47×#392C2211yescharacteristic, complemented
42C47×#386—21no—
43C47×#380C2211yescharacteristic, complemented
44C47×#328C2212yescomplemented
45C47×#328C2212yescomplemented
46C47×#327C2212yescomplemented
47C47×#327C2212yescomplemented
48C47×#323C2211yescharacteristic
49C47×#323C2211yescharacteristic
50C47×#323C2212yescomplemented
51C25×C47D411yescharacteristic
52C2×#41×C47—21no—
53C2×#41×C47D412yescomplemented
54C22×D4×C47—21no—
55C22×D4×C47—21no—
56C22×D4×C47—21no—
57C22×D4×C47—21no—
58C22×D4×C47—21no—
59C22×D4×C47—21no—
60C22×D4×C47C2311yescharacteristic
61C23×C4×C47D411yescharacteristic
62C23×C4×C47C2311yescharacteristic
63C2×SD16×C47—22no—
64C2×D8×C47—22no—
65C2×M16×C47—22no—
66#126×C47—22no—
67#126×C47—22no—
68#124×C47—22no—
69#124×C47—22no—
70#123×C47—22no—
71#123×C47—22no—
72#123×C47—22no—
73#123×C47—22no—
74#123×C47—22no—
75C22⋊Q8×C47—21no—
76C22⋊Q8×C47—22no—
77C22⋊Q8×C47—21no—
78C22⋊Q8×C47—22no—
79C22⋊Q8×C47D412yescomplemented
80C22⋊Q8×C47C2312yes—
81#121×C47—21no—
82#121×C47—22no—
83#121×C47—22no—
84#121×C47—21no—
85#121×C47—22no—
86#121×C47—22no—
87#121×C47D412yescomplemented
88#121×C47C2312yes—
89#120×C47—22no—
90#120×C47—22no—
91#120×C47—22no—
92#120×C47—22no—
93#120×C47—22no—
94#120×C47—44no—
95C4×D4×C47—22no—
96C4×D4×C47—22no—
97C4×D4×C47—22no—
98C4×D4×C47—22no—
99C4×D4×C47—22no—
100C4×D4×C47—22no—
101#117×C47—22no—
102#117×C47—21no—
103#117×C47D412yescomplemented
104C2×C4⋊C4×C47—21no—
105C2×C4⋊C4×C47C2311yescharacteristic
106C2×C22⋊C4×C47—22no—
107C2×C22⋊C4×C47—21no—
108C2×C22⋊C4×C47—21no—
109C2×C22⋊C4×C47—21no—
110C2×C22⋊C4×C47—22no—
111C2×C22⋊C4×C47—22no—
112C2×C22⋊C4×C47—21no—
113C2×C22⋊C4×C47—21no—
114C2×C22⋊C4×C47—21no—
115C2×C22⋊C4×C47—21no—
116C2×C22⋊C4×C47—21no—
117C2×C22⋊C4×C47—21no—
118C2×C22⋊C4×C47D411yescharacteristic
119C2×C22⋊C4×C47D411yescharacteristic
120C2×C22⋊C4×C47C2311yescharacteristic
121C2×C22⋊C4×C47C2311yescharacteristic
122#107×C47—22no—
123#106×C47—22no—
124#103×C47—22no—
125#102×C47—22no—
126#102×C47—22no—
127#102×C47—22no—
128C22⋊C8×C47—22no—
129C22⋊C8×C47C2312yes—
130C22⋊C8×C47C2312yes—
131#95×C47—21no—
132#95×C47—21no—
133#95×C47C2311yescharacteristic
134#95×C47C2311yescharacteristic
135C24×C47—21no—
136C24×C47—21no—
137C24×C47—21no—
138C24×C47—22no—
139C24×C47—21no—
140C24×C47—41no—
141C24×C47—81no—
142C24×C47—81no—
143C24×C47C2×D411yescharacteristic
144C24×C47C2×D411yescharacteristic
145C24×C47C2×D411yescharacteristic
146#41×C47—82no—
147#41×C47—82no—
148C2×Q8×C47—21no—
149C2×Q8×C47C2×D412yes—
150C2×D4×C47—22no—
151C2×D4×C47—22no—
152C2×D4×C47—22no—
153C2×D4×C47—22no—
154C2×D4×C47—21no—
155C2×D4×C47—22no—
156C2×D4×C47—22no—
157C2×D4×C47—22no—
158C2×D4×C47—42no—
159C2×D4×C47—42no—
160C2×D4×C47—42no—
161C2×D4×C47—42no—
162C2×D4×C47—42no—
163C2×D4×C47—41no—
164C2×D4×C47—41no—
165C2×D4×C47—42no—
166C2×D4×C47—81no—
167C2×D4×C47—81no—
168C2×D4×C47—81no—
169C2×D4×C47—81no—
170C2×D4×C47—81no—
171C2×D4×C47—82no—
172C2×D4×C47—82no—
173C2×D4×C47C2×D412yes—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—21no—
178C22×C4×C47—22no—
179C22×C4×C47—21no—
180C22×C4×C47—22no—
181C22×C4×C47—21no—
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47—81no—
185C22×C4×C47—81no—
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2×D411yescharacteristic
188C22×C4×C47C2×D411yescharacteristic
189C22×C4×C47C2×D412yes—
190C22×C4×C47C2×D412yes—
191C22×C4×C47C2411yescharacteristic
192SD16×C47—82no—
193D8×C47—82no—
194M16×C47—82no—
195C2×C8×C47—22no—
196C2×C8×C47—22no—
197C4⋊C4×C47—22no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47—21no—
200C4⋊C4×C47—22no—
201C4⋊C4×C47—22no—
202C4⋊C4×C47—22no—
203C4⋊C4×C47—22no—
204C4⋊C4×C47—81no—
205C4⋊C4×C47C2×D412yes—
206C4⋊C4×C47C2×D412yes—
207C22⋊C4×C47—22no—
208C22⋊C4×C47—22no—
209C22⋊C4×C47—22no—
210C22⋊C4×C47—22no—
211C22⋊C4×C47—22no—
212C22⋊C4×C47—22no—
213C22⋊C4×C47—22no—
214C22⋊C4×C47—22no—
215C22⋊C4×C47—22no—
216C22⋊C4×C47—22no—
217C22⋊C4×C47—22no—
218C22⋊C4×C47—22no—
219C22⋊C4×C47—22no—
220C22⋊C4×C47—22no—
221C22⋊C4×C47—42no—
222C22⋊C4×C47—42no—
223C22⋊C4×C47—42no—
224C22⋊C4×C47—42no—
225C22⋊C4×C47—81no—
226C22⋊C4×C47—81no—
227C42×C47—22no—
228C42×C47—22no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—22no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—42no—
240C23×C47—42no—
241C23×C47—41no—
242C23×C47—41no—
243C23×C47—41no—
244C23×C47—41no—
245C23×C47—42no—
246C23×C47—42no—
247C23×C47—42no—
248C23×C47—41no—
249C23×C47—41no—
250C23×C47—41no—
251C23×C47—41no—
252C23×C47—41no—
253C23×C47—41no—
254C23×C47—41no—
255C23×C47—81no—
256C23×C47—81no—
257C23×C47—84no—
258C23×C47—81no—
259C23×C47—81no—
260C23×C47—84no—
261C23×C47#12011yescharacteristic
262C23×C47#12011yescharacteristic
263C23×C47AGL(1,ℤ/8)12yes—
264C23×C47C22×D411yescharacteristic
265Q8×C47—42no—
266Q8×C47—81no—
267D4×C47—42no—
268D4×C47—42no—
269D4×C47—42no—
270D4×C47—44no—
271D4×C47—44no—
272D4×C47—44no—
273D4×C47—42no—
274D4×C47—42no—
275D4×C47—82no—
276D4×C47—82no—
277D4×C47—81no—
278D4×C47—82no—
279D4×C47—82no—
280D4×C47—84no—
281D4×C47—84no—
282C2×C4×C47—22no—
283C2×C4×C47—21no—
284C2×C4×C47—22no—
285C2×C4×C47—22no—
286C2×C4×C47—21no—
287C2×C4×C47—41no—
288C2×C4×C47—42no—
289C2×C4×C47—42no—
290C2×C4×C47—41no—
291C2×C4×C47—42no—
292C2×C4×C47—42no—
293C2×C4×C47—41no—
294C2×C4×C47—41no—
295C2×C4×C47—41no—
296C2×C4×C47—41no—
297C2×C4×C47—41no—
298C2×C4×C47—41no—
299C2×C4×C47—41no—
300C2×C4×C47—41no—
301C2×C4×C47—41no—
302C2×C4×C47—41no—
303C2×C4×C47—41no—
304C2×C4×C47—82no—
305C2×C4×C47—81no—
306C2×C4×C47—81no—
307C2×C4×C47—81no—
308C2×C4×C47—82no—
309C2×C4×C47#12012yes—
310C2×C4×C47C22×D412yes—
311C8×C47—42no—
312C8×C47—42no—
313#18346C4711yesmaximal, characteristic, direct product factor, Sylow
314C22×C47—21no—
315C22×C47—21no—
316C22×C47—22no—
317C22×C47—21no—
318C22×C47—21no—
319C22×C47—21no—
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—21no—
323C22×C47—42no—
324C22×C47—42no—
325C22×C47—42no—
326C22×C47—42no—
327C22×C47—41no—
328C22×C47—41no—
329C22×C47—42no—
330C22×C47—41no—
331C22×C47—42no—
332C22×C47—41no—
333C22×C47—42no—
334C22×C47—41no—
335C22×C47—81no—
336C22×C47—81no—
337C22×C47—81no—
338C22×C47—81no—
339C22×C47—81no—
340C22×C47—81no—
341C22×C47—84no—
342C22×C47—84no—
343C22×C47—81no—
344C22×C47—81no—
345C22×C47—81no—
346C22×C47—162no—
347C22×C47C2×#12011yescharacteristic
348C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
349C22×C47#57511yescharacteristic
350C4×C47—22no—
351C4×C47—22no—
352C4×C47—42no—
353C4×C47—41no—
354C4×C47—41no—
355C4×C47—42no—
356C4×C47—42no—
357C4×C47—81no—
358C4×C47—81no—
359C4×C47—81no—
360#3490C2×C4711yescharacteristic, complemented
361#3194C2×C4712yescomplemented
362#2617C2×C4711yescharacteristic, complemented
363#1612C2×C4712yescomplemented
364#1608C2×C4711yescharacteristic, complemented
365#1607C2×C4711yescharacteristic, complemented
366#1600C2×C4712yescomplemented
367#1596C2×C4711yescharacteristic, complemented
368#1595C2×C4711yescharacteristic, complemented
369#1513C2×C4712yescomplemented
370#1462C2×C4711yescharacteristic, complemented
371C2×C47—21no—
372C2×C47—21no—
373C2×C47—41no—
374C2×C47—41no—
375C2×C47—42no—
376C2×C47—81no—
377C2×C47—82no—
378C2×C47—161no—
379C2×C47#300611yescharacteristic
380C2×C47#301911yescharacteristic
381C2×C47#302611yescharacteristic
382#551—22no—
383#551—22no—
384#546—22no—
385#546—22no—
386#543C22×C4711yescharacteristic
387#538—21no—
388#538C22×C4712yes—
389#534C22×C4711yescharacteristic
390#525—21no—
391#525C22×C4712yes—
392C2×#121C22×C4711yescharacteristic, complemented
393C2×#120—21no—
394C2×#120—21no—
395#518—21no—
396C22×C22⋊C4C22×C4711yescharacteristic
397#483C22×C4712yescomplemented
398#482—22no—
399#480C22×C4712yescomplemented
400#469—22no—
401#468—22no—
402#450C22×C4712yescomplemented
403#449—22no—
404#447C22×C4712yescomplemented
405#407C22×C4712yescomplemented
406#397C22×C4711yescharacteristic
407#397C22×C4711yescharacteristic, complemented
408#394—21no—
409#394—21no—
410#392C22×C4711yescharacteristic
411#392C22×C4711yescharacteristic, complemented
412#386—21no—
413#380C22×C4711yescharacteristic, complemented
414#328C22×C4712yescomplemented
415#328C22×C4712yescomplemented
416#327C22×C4712yescomplemented
417#327C22×C4712yescomplemented
418#323C22×C4711yescharacteristic
419#323C22×C4711yescharacteristic
420#323C22×C4712yescomplemented
421C47#1834611yescharacteristic, direct product factor, Sylow
422C25D4×C4711yescharacteristic
423C2×#41—21no—
424C2×#41D4×C4712yescomplemented
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4C23×C4711yescharacteristic
432C23×C4D4×C4711yescharacteristic
433C23×C4C23×C4711yescharacteristic
434C2×SD16—22no—
435C2×D8—22no—
436C2×M16—22no—
437#126—22no—
438#126—22no—
439#124—22no—
440#124—22no—
441#123—22no—
442#123—22no—
443#123—22no—
444#123—22no—
445#123—22no—
446C22⋊Q8—21no—
447C22⋊Q8—22no—
448C22⋊Q8—21no—
449C22⋊Q8—22no—
450C22⋊Q8D4×C4712yescomplemented
451C22⋊Q8C23×C4712yes—
452#121—21no—
453#121—22no—
454#121—22no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121D4×C4712yescomplemented
459#121C23×C4712yes—
460#120—22no—
461#120—22no—
462#120—22no—
463#120—22no—
464#120—22no—
465#120—44no—
466C4×D4—22no—
467C4×D4—22no—
468C4×D4—22no—
469C4×D4—22no—
470C4×D4—22no—
471C4×D4—22no—
472#117—22no—
473#117—21no—
474#117D4×C4712yescomplemented
475C2×C4⋊C4—21no—
476C2×C4⋊C4C23×C4711yescharacteristic
477C2×C22⋊C4—22no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—22no—
482C2×C22⋊C4—22no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4D4×C4711yescharacteristic
490C2×C22⋊C4D4×C4711yescharacteristic
491C2×C22⋊C4C23×C4711yescharacteristic
492C2×C22⋊C4C23×C4711yescharacteristic
493#107—22no—
494#106—22no—
495#103—22no—
496#102—22no—
497#102—22no—
498#102—22no—
499C22⋊C8—22no—
500C22⋊C8C23×C4712yes—
501C22⋊C8C23×C4712yes—
502#95—21no—
503#95—21no—
504#95C23×C4711yescharacteristic
505#95C23×C4711yescharacteristic
506C24—21no—
507C24—21no—
508C24—21no—
509C24—22no—
510C24—21no—
511C24—41no—
512C24—81no—
513C24—81no—
514C24C2×D4×C4711yescharacteristic
515C24C2×D4×C4711yescharacteristic
516C24C2×D4×C4711yescharacteristic
517#41—82no—
518#41—82no—
519C2×Q8—21no—
520C2×Q8C2×D4×C4712yes—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—42no—
533C2×D4—42no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4—42no—
537C2×D4—81no—
538C2×D4—81no—
539C2×D4—81no—
540C2×D4—81no—
541C2×D4—81no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4C2×D4×C4712yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—81no—
556C22×C4—81no—
557C22×C4C2×D4×C4711yescharacteristic
558C22×C4C2×D4×C4711yescharacteristic
559C22×C4C2×D4×C4711yescharacteristic
560C22×C4C2×D4×C4712yes—
561C22×C4C2×D4×C4712yes—
562C22×C4C24×C4711yescharacteristic
563SD16—82no—
564D8—82no—
565M16—82no—
566C2×C8—22no—
567C2×C8—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—81no—
576C4⋊C4C2×D4×C4712yes—
577C4⋊C4C2×D4×C4712yes—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—81no—
597C22⋊C4—81no—
598C42—22no—
599C42—22no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—21no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—81no—
627C23—81no—
628C23—84no—
629C23—81no—
630C23—81no—
631C23—84no—
632C23#120×C4711yescharacteristic
633C23#120×C4711yescharacteristic
634C23AGL(1,ℤ/8)×C4712yes—
635C23C22×D4×C4711yescharacteristic
636Q8—42no—
637Q8—81no—
638D4—42no—
639D4—42no—
640D4—42no—
641D4—44no—
642D4—44no—
643D4—44no—
644D4—42no—
645D4—42no—
646D4—82no—
647D4—82no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—84no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—82no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—82no—
680C2×C4#120×C4712yes—
681C2×C4C22×D4×C4712yes—
682C8—42no—
683C8—42no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—42no—
702C22—41no—
703C22—42no—
704C22—41no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—84no—
712C22—84no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—162no—
717C22C2×#120×C4711yescharacteristic
718C22C2×AGL(1,ℤ/8)×C4711yescharacteristic
719C22C47×#57511yescharacteristic
720C4—22no—
721C4—22no—
722C4—42no—
723C4—41no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—81no—
728C4—81no—
729C4—81no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—42no—
735C2—81no—
736C2—82no—
737C2—161no—
738C2C47×#300611yescharacteristic
739C2C47×#301911yescharacteristic
740C2C47×#302611yescharacteristic
subgroupG/H
center, socleC22×C47C2×#120
commutator, Frattini, cosocleC22×C4C24×C47
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C23×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3490C2semidirect
2. C47×#3194C2semidirect
3. C47×#2617C2semidirect
4. C47×#1612C2semidirect
5. C47×#1608C2semidirect
6. C47×#1607C2semidirect
7. C47×#1600C2semidirect
8. C47×#1596C2semidirect
9. C47×#1595C2semidirect
10. C47×#1513C2semidirect
11. C47×#1462C2semidirect
22. C2×#121×C47C22semidirect
27. C47×#483C22semidirect
29. C47×#480C22semidirect
32. C47×#450C22semidirect
34. C47×#447C22semidirect
35. C47×#407C22semidirect
37. C47×#397C22semidirect
41. C47×#392C22semidirect
43. C47×#380C22semidirect
44. C47×#328C22semidirect
45. C47×#328C22semidirect
46. C47×#327C22semidirect
47. C47×#327C22semidirect
50. C47×#323C22semidirect
53. C2×#41×C47D4semidirect
79. C22⋊Q8×C47D4semidirect
87. #121×C47D4semidirect
103. #117×C47D4semidirect
313. #18346C47direct (N × H)
360. #3490C2×C47semidirect
361. #3194C2×C47semidirect
362. #2617C2×C47semidirect
363. #1612C2×C47semidirect
364. #1608C2×C47semidirect
365. #1607C2×C47semidirect
366. #1600C2×C47semidirect
367. #1596C2×C47semidirect
368. #1595C2×C47semidirect
369. #1513C2×C47semidirect
370. #1462C2×C47semidirect
392. C2×#121C22×C47semidirect
397. #483C22×C47semidirect
399. #480C22×C47semidirect
402. #450C22×C47semidirect
404. #447C22×C47semidirect
405. #407C22×C47semidirect
407. #397C22×C47semidirect
411. #392C22×C47semidirect
413. #380C22×C47semidirect
414. #328C22×C47semidirect
415. #328C22×C47semidirect
416. #327C22×C47semidirect
417. #327C22×C47semidirect
420. #323C22×C47semidirect
421. C47#18346direct (N × H)
424. C2×#41D4×C47semidirect
450. C22⋊Q8D4×C47semidirect
458. #121D4×C47semidirect
474. #117D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#34902
C47×#31942
C47×#26172
C47×#16122
C47×#16082
C47×#16072
C47×#16002
C47×#15962
C47×#15952
C47×#15132
C47×#14622
#1834647