Finite Group Databasebeta

← C47×#33560 #26073258

Subgroups — C47×#33560 #26073258

Order 12032.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3551C211yesmaximal, characteristic, complemented
2C47×#3028C211yesmaximal, characteristic, complemented
3C47×#3027C211yesmaximal, characteristic, complemented
4C47×#3018C211yesmaximal, characteristic, complemented
5C47×#2200C214yesmaximal, complemented
6C47×#2197C214yesmaximal, complemented
7C47×#2126C211yesmaximal, characteristic, complemented
8C47×#2123C211yesmaximal, characteristic, complemented
9C47×#2122C211yesmaximal, characteristic, complemented
10C47×#585C2211yescharacteristic
11C47×#575—21no—
12C47×#563—21no—
13C47×#560C2212yescomplemented
14C47×#555—21no—
15C47×#553—21no—
16C47×#552—21no—
17C47×#551C2212yescomplemented
18C47×#548—21no—
19C47×#546—21no—
20C47×#540—22no—
21C47×#538—22no—
22C47×#537—21no—
23C47×#536—21no—
24C47×#536C2211yescharacteristic
25C47×#535—21no—
26C47×#535C2211yescharacteristic
27C47×#532C2211yescharacteristic
28C47×#529—21no—
29C47×#458—22no—
30C47×#458C2214yes—
31C47×B(4,𝔽2)—22no—
32C47×B(4,𝔽2)C2214yes—
33C47×#456—21no—
34C47×#455C2212yes—
35C47×#454—21no—
36C47×#453C2212yes—
37C2×#104×C47—21no—
38C47×#413C2211yescharacteristic
39C47×#410—21no—
40C47×#410—21no—
41C47×#410C2211yescharacteristic
42C47×#410C2211yescharacteristic
43C47×#354C2212yescomplemented
44C47×#353C2212yescomplemented
45C47×#352C2214yescomplemented
46C47×AΣL(1,𝔽16)C2214yescomplemented
472−1+4×C47—21no—
482−1+4×C47—41no—
49H(5,𝔽2)×C47—21no—
50H(5,𝔽2)×C47—21no—
51H(5,𝔽2)×C47—41no—
52H(5,𝔽2)×C47C2312yes—
53C2×#41×C47—21no—
54C2×#41×C47—21no—
55C2×#41×C47—21no—
56C2×#41×C47—21no—
57C2×#41×C47—42no—
58C2×#41×C47D411yescharacteristic, complemented
59C2×#41×C47C2311yescharacteristic
60C22×Q8×C47D411yescharacteristic, complemented
61C22×D4×C47D411yescharacteristic
62#137×C47—22no—
63#137×C47—41no—
64AGL(1,ℤ/8)×C47—22no—
65AGL(1,ℤ/8)×C47—41no—
66#135×C47—42no—
67C2×M16×C47—21no—
68C4⋊Q8×C47—21no—
69C4⋊Q8×C47—41no—
70C4⋊Q8×C47D411yescharacteristic, complemented
71#127×C47—21no—
72#127×C47—41no—
73#127×C47C2311yescharacteristic
74#126×C47—22no—
75#126×C47—22no—
76#126×C47—22no—
77#125×C47—21no—
78#125×C47—22no—
79#124×C47—21no—
80#124×C47—22no—
81#124×C47—21no—
82#124×C47—21no—
83#124×C47—41no—
84#124×C47—41no—
85#124×C47D411yescharacteristic, complemented
86#124×C47C2311yescharacteristic
87#123×C47—22no—
88#123×C47—22no—
89#123×C47—22no—
90#123×C47—22no—
91#123×C47—24no—
92#123×C47D412yescomplemented
93#123×C47C2312yes—
94C22⋊Q8×C47—21no—
95C22⋊Q8×C47—22no—
96C22⋊Q8×C47—22no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—21no—
99C22⋊Q8×C47—42no—
100#121×C47—22no—
101#121×C47—22no—
102#121×C47—21no—
103#121×C47—22no—
104#121×C47—21no—
105#121×C47—21no—
106#121×C47—22no—
107#121×C47—21no—
108#121×C47—21no—
109#121×C47—22no—
110#121×C47—22no—
111#121×C47—42no—
112#120×C47—22no—
113#120×C47—24no—
114#120×C47D412yes—
115#120×C47C2312yes—
116C4×Q8×C47—21no—
117C4×D4×C47—22no—
118C4×D4×C47—21no—
119C4×D4×C47—22no—
120C4×D4×C47—21no—
121C4×D4×C47—21no—
122C4×D4×C47—22no—
123#117×C47—22no—
124#117×C47—22no—
125#117×C47—21no—
126#117×C47—21no—
127#117×C47D411yescharacteristic
128#117×C47D411yescharacteristic, complemented
129C2×C4⋊C4×C47—21no—
130C2×C22⋊C4×C47—22no—
131C2×C42×C47D411yescharacteristic, complemented
132#104×C47—22no—
133#104×C47—22no—
134#101×C47—21no—
135#100×C47C2312yes—
136#99×C47—21no—
137#99×C47—21no—
138#99×C47—24no—
139#99×C47—24no—
140#99×C47C2312yes—
141#99×C47C2312yes—
142C24×C47C2×D412yes—
143#41×C47—22no—
144#41×C47—22no—
145#41×C47—41no—
146#41×C47—41no—
147#41×C47—42no—
148#41×C47—41no—
149#41×C47—41no—
150#41×C47—41no—
151#41×C47—41no—
152#41×C47—41no—
153#41×C47—42no—
154#41×C47—42no—
155#41×C47—41no—
156#41×C47—41no—
157#41×C47—42no—
158#41×C47—41no—
159#41×C47—41no—
160#41×C47—41no—
161#41×C47—81no—
162#41×C47—81no—
163C2×Q8×C47—21no—
164C2×Q8×C47—21no—
165C2×Q8×C47—21no—
166C2×Q8×C47—21no—
167C2×Q8×C47—21no—
168C2×Q8×C47—41no—
169C2×Q8×C47—41no—
170C2×Q8×C47—42no—
171C2×Q8×C47C2×D411yescharacteristic
172C2×Q8×C47C2×D411yescharacteristic
173C2×D4×C47—21no—
174C2×D4×C47—21no—
175C2×D4×C47—21no—
176C2×D4×C47—22no—
177C2×D4×C47—22no—
178C2×D4×C47—22no—
179C2×D4×C47—22no—
180C2×D4×C47—22no—
181C2×D4×C47—21no—
182C2×D4×C47—21no—
183C2×D4×C47—22no—
184C2×D4×C47—21no—
185C2×D4×C47—21no—
186C2×D4×C47—21no—
187C2×D4×C47—41no—
188C2×D4×C47—41no—
189C2×D4×C47—42no—
190C2×D4×C47—42no—
191C2×D4×C47—42no—
192C2×D4×C47—41no—
193C2×D4×C47—44no—
194C2×D4×C47C2×D411yescharacteristic
195C2×D4×C47C2×D411yescharacteristic
196C2×D4×C47C2×D411yescharacteristic
197C2×D4×C47C2411yescharacteristic
198C22×C4×C47—22no—
199C22×C4×C47—22no—
200C22×C4×C47—22no—
201C22×C4×C47—22no—
202C22×C4×C47—22no—
203C22×C4×C47—21no—
204C22×C4×C47—21no—
205C22×C4×C47—41no—
206C22×C4×C47C2×D411yescharacteristic
207C22×C4×C47C2×D411yescharacteristic
208C22×C4×C47C2×D411yescharacteristic
209C22×C4×C47C2×D412yes—
210Q16×C47—42no—
211SD16×C47—42no—
212SD16×C47—42no—
213D8×C47—42no—
214M16×C47—22no—
215M16×C47—41no—
216C2×C8×C47—41no—
217C4⋊C4×C47—22no—
218C4⋊C4×C47—22no—
219C4⋊C4×C47—22no—
220C4⋊C4×C47—22no—
221C4⋊C4×C47—22no—
222C4⋊C4×C47—22no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47—22no—
228C4⋊C4×C47—41no—
229C4⋊C4×C47—41no—
230C4⋊C4×C47—44no—
231C22⋊C4×C47—22no—
232C22⋊C4×C47—22no—
233C22⋊C4×C47—22no—
234C22⋊C4×C47—22no—
235C22⋊C4×C47—22no—
236C22⋊C4×C47—22no—
237C22⋊C4×C47—21no—
238C22⋊C4×C47—22no—
239C22⋊C4×C47—21no—
240C22⋊C4×C47—21no—
241C22⋊C4×C47—21no—
242C22⋊C4×C47—22no—
243C22⋊C4×C47—22no—
244C22⋊C4×C47—22no—
245C22⋊C4×C47—22no—
246C22⋊C4×C47—44no—
247C22⋊C4×C47—44no—
248C22⋊C4×C47C2×D412yes—
249C22⋊C4×C47C2×D412yes—
250C42×C47—22no—
251C42×C47—21no—
252C42×C47—21no—
253C42×C47—21no—
254C42×C47—41no—
255C42×C47—41no—
256C42×C47C2×D411yescharacteristic
257C42×C47C2×D411yescharacteristic
258C23×C47—22no—
259C23×C47—22no—
260C23×C47—22no—
261C23×C47—21no—
262C23×C47—41no—
263C23×C47—42no—
264C23×C47—82no—
265C23×C47#12011yescharacteristic
266C23×C47C22×D411yescharacteristic
267C23×C47C22×D411yescharacteristic
268Q8×C47—22no—
269Q8×C47—41no—
270Q8×C47—41no—
271Q8×C47—41no—
272Q8×C47—41no—
273Q8×C47—41no—
274Q8×C47—41no—
275Q8×C47—41no—
276Q8×C47—81no—
277D4×C47—22no—
278D4×C47—41no—
279D4×C47—41no—
280D4×C47—41no—
281D4×C47—41no—
282D4×C47—41no—
283D4×C47—41no—
284D4×C47—42no—
285D4×C47—42no—
286D4×C47—42no—
287D4×C47—42no—
288D4×C47—41no—
289D4×C47—41no—
290D4×C47—41no—
291D4×C47—81no—
292D4×C47—81no—
293D4×C47—82no—
294D4×C47—82no—
295D4×C47—82no—
296D4×C47—81no—
297D4×C47—81no—
298D4×C47—82no—
299D4×C47—164no—
300C2×C4×C47—21no—
301C2×C4×C47—21no—
302C2×C4×C47—21no—
303C2×C4×C47—21no—
304C2×C4×C47—21no—
305C2×C4×C47—21no—
306C2×C4×C47—22no—
307C2×C4×C47—22no—
308C2×C4×C47—21no—
309C2×C4×C47—22no—
310C2×C4×C47—21no—
311C2×C4×C47—22no—
312C2×C4×C47—22no—
313C2×C4×C47—21no—
314C2×C4×C47—42no—
315C2×C4×C47—42no—
316C2×C4×C47—42no—
317C2×C4×C47—41no—
318C2×C4×C47—42no—
319C2×C4×C47—41no—
320C2×C4×C47—41no—
321C2×C4×C47—42no—
322C2×C4×C47—42no—
323C2×C4×C47—42no—
324C2×C4×C47—82no—
325C2×C4×C47—81no—
326C2×C4×C47—82no—
327C2×C4×C47—82no—
328C2×C4×C47#12011yescharacteristic
329C2×C4×C47#12011yescharacteristic
330C2×C4×C47#12011yescharacteristic
331C2×C4×C47C22×D411yescharacteristic
332C8×C47—42no—
333#33560C4711yesmaximal, characteristic, direct product factor, Sylow
334C22×C47—21no—
335C22×C47—21no—
336C22×C47—21no—
337C22×C47—41no—
338C22×C47—41no—
339C22×C47—41no—
340C22×C47—41no—
341C22×C47—42no—
342C22×C47—41no—
343C22×C47—42no—
344C22×C47—42no—
345C22×C47—41no—
346C22×C47—42no—
347C22×C47—82no—
348C22×C47—84no—
349C22×C47—82no—
350C22×C47—161no—
351C22×C47C2×#12011yescharacteristic
352C4×C47—21no—
353C4×C47—21no—
354C4×C47—21no—
355C4×C47—41no—
356C4×C47—42no—
357C4×C47—42no—
358C4×C47—41no—
359C4×C47—42no—
360C4×C47—41no—
361C4×C47—42no—
362C4×C47—82no—
363C4×C47—82no—
364C4×C47B(4,𝔽2)11yescharacteristic
365C4×C47B(4,𝔽2)11yescharacteristic
366#3551C2×C4711yescharacteristic, complemented
367#3028C2×C4711yescharacteristic, complemented
368#3027C2×C4711yescharacteristic, complemented
369#3018C2×C4711yescharacteristic, complemented
370#2200C2×C4714yescomplemented
371#2197C2×C4714yescomplemented
372#2126C2×C4711yescharacteristic, complemented
373#2123C2×C4711yescharacteristic, complemented
374#2122C2×C4711yescharacteristic, complemented
375C2×C47—21no—
376C2×C47—41no—
377C2×C47—41no—
378C2×C47—41no—
379C2×C47—81no—
380C2×C47—82no—
381C2×C47—82no—
382C2×C47C2×B(4,𝔽2)11yescharacteristic
383#585C22×C4711yescharacteristic
384#575—21no—
385#563—21no—
386#560C22×C4712yescomplemented
387#555—21no—
388#553—21no—
389#552—21no—
390#551C22×C4712yescomplemented
391#548—21no—
392#546—21no—
393#540—22no—
394#538—22no—
395#537—21no—
396#536—21no—
397#536C22×C4711yescharacteristic
398#535—21no—
399#535C22×C4711yescharacteristic
400#532C22×C4711yescharacteristic
401#529—21no—
402#458—22no—
403#458C22×C4714yes—
404B(4,𝔽2)—22no—
405B(4,𝔽2)C22×C4714yes—
406#456—21no—
407#455C22×C4712yes—
408#454—21no—
409#453C22×C4712yes—
410C2×#104—21no—
411#413C22×C4711yescharacteristic
412#410—21no—
413#410—21no—
414#410C22×C4711yescharacteristic
415#410C22×C4711yescharacteristic
416#354C22×C4712yescomplemented
417#353C22×C4712yescomplemented
418#352C22×C4714yescomplemented
419AΣL(1,𝔽16)C22×C4714yescomplemented
420C47#3356011yescharacteristic, direct product factor, Sylow
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C4712yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C4711yescharacteristic, complemented
433C2×#41C23×C4711yescharacteristic
434C22×Q8D4×C4711yescharacteristic, complemented
435C22×D4D4×C4711yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C4711yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C4711yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C4711yescharacteristic, complemented
460#124C23×C4711yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C4712yescomplemented
467#123C23×C4712yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C4712yes—
489#120C23×C4712yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C4711yescharacteristic
502#117D4×C4711yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C4711yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C4712yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C4712yes—
515#99C23×C4712yes—
516C24C2×D4×C4712yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C4711yescharacteristic
546C2×Q8C2×D4×C4711yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C4711yescharacteristic
569C2×D4C2×D4×C4711yescharacteristic
570C2×D4C2×D4×C4711yescharacteristic
571C2×D4C24×C4711yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C4711yescharacteristic
581C22×C4C2×D4×C4711yescharacteristic
582C22×C4C2×D4×C4711yescharacteristic
583C22×C4C2×D4×C4712yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C4712yes—
623C22⋊C4C2×D4×C4712yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C4711yescharacteristic
631C42C2×D4×C4711yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C4711yescharacteristic
640C23C22×D4×C4711yescharacteristic
641C23C22×D4×C4711yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—81no—
671D4—81no—
672D4—82no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—81no—
700C2×C4—82no—
701C2×C4—82no—
702C2×C4#120×C4711yescharacteristic
703C2×C4#120×C4711yescharacteristic
704C2×C4#120×C4711yescharacteristic
705C2×C4C22×D4×C4711yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C4711yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4C47×B(4,𝔽2)11yescharacteristic
738C4C47×B(4,𝔽2)11yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×C47×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C47C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C47
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C47 ◁ C2×C4×C47 ◁ C2×#41×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3551C2semidirect
2. C47×#3028C2semidirect
3. C47×#3027C2semidirect
4. C47×#3018C2semidirect
5. C47×#2200C2semidirect
6. C47×#2197C2semidirect
7. C47×#2126C2semidirect
8. C47×#2123C2semidirect
9. C47×#2122C2semidirect
13. C47×#560C22semidirect
17. C47×#551C22semidirect
43. C47×#354C22semidirect
44. C47×#353C22semidirect
45. C47×#352C22semidirect
46. C47×AΣL(1,𝔽16)C22semidirect
58. C2×#41×C47D4semidirect
60. C22×Q8×C47D4semidirect
70. C4⋊Q8×C47D4semidirect
85. #124×C47D4semidirect
92. #123×C47D4semidirect
128. #117×C47D4semidirect
131. C2×C42×C47D4semidirect
333. #33560C47direct (N × H)
366. #3551C2×C47semidirect
367. #3028C2×C47semidirect
368. #3027C2×C47semidirect
369. #3018C2×C47semidirect
370. #2200C2×C47semidirect
371. #2197C2×C47semidirect
372. #2126C2×C47semidirect
373. #2123C2×C47semidirect
374. #2122C2×C47semidirect
386. #560C22×C47semidirect
390. #551C22×C47semidirect
416. #354C22×C47semidirect
417. #353C22×C47semidirect
418. #352C22×C47semidirect
419. AΣL(1,𝔽16)C22×C47semidirect
420. C47#33560direct (N × H)
432. C2×#41D4×C47semidirect
434. C22×Q8D4×C47semidirect
444. C4⋊Q8D4×C47semidirect
459. #124D4×C47semidirect
466. #123D4×C47semidirect
502. #117D4×C47semidirect
505. C2×C42D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35512
C47×#30282
C47×#30272
C47×#30182
C47×#22002
C47×#21972
C47×#21262
C47×#21232
C47×#21222
#3356047