Finite Group Databasebeta

← C47×#33854 #26073552

Subgroups — C47×#33854 #26073552

Order 12032.

656 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3416C211yesmaximal, characteristic, complemented
2C47×#3415C211yesmaximal, characteristic, complemented
3C47×#3292C211yesmaximal, characteristic, complemented
4C47×#3290C211yesmaximal, characteristic, complemented
5C47×#2250C211yesmaximal, characteristic, complemented
6C47×#2223C211yesmaximal, characteristic, complemented
7C47×#2221C211yesmaximal, characteristic, complemented
8C47×#2213C211yesmaximal, characteristic, complemented
9C47×#2212C211yesmaximal, characteristic, complemented
10C47×#2194C211yesmaximal, characteristic, complemented
11C47×#2193C211yesmaximal, characteristic, complemented
12C47×#2192C211yesmaximal, characteristic, complemented
13C47×#2192C211yesmaximal, characteristic, complemented
14C47×#2179C211yesmaximal, characteristic, complemented
15C47×#2171C211yesmaximal, characteristic, complemented
16C47×#578C2211yescharacteristic, complemented
17C47×#577—21no—
18C47×#576—21no—
19C47×#576C2211yescharacteristic
20C47×#576C2211yescharacteristic, complemented
21C47×#576C2211yescharacteristic, complemented
22C47×#510—21no—
23C47×#510C2211yescharacteristic, complemented
24C47×#509—21no—
25C47×#509—21no—
26C47×#509—21no—
27C47×#509C2211yescharacteristic
28C47×#509C2211yescharacteristic, complemented
29C47×#509C2211yescharacteristic, complemented
30C47×#508—21no—
31C47×#508—21no—
32C47×#508C2211yescharacteristic
33C2×SD32×C47—21no—
34C2×SD32×C47C2211yescharacteristic, complemented
35C2×SD32×C47C2211yescharacteristic, complemented
36C2×D16×C47—21no—
37C2×D16×C47C2211yescharacteristic, complemented
38C2×D16×C47C2211yescharacteristic, complemented
39C47×#504C2211yescharacteristic, complemented
40C47×#504C2211yescharacteristic, complemented
41C47×#495C2211yescharacteristic, complemented
42C47×#493C2211yescharacteristic, complemented
43C47×#473C2211yescharacteristic, complemented
44C47×#472—21no—
45C47×#472C2211yescharacteristic
46C47×#472C2211yescharacteristic, complemented
47C47×#472C2211yescharacteristic, complemented
48C47×#471—21no—
49C47×#455—21no—
50C47×#454—21no—
51C47×#453—21no—
52C47×#453—21no—
53C47×#443C2211yescharacteristic
54C47×#443C2211yescharacteristic, complemented
55C47×#443C2211yescharacteristic, complemented
56C47×#368C2211yescharacteristic, complemented
57C47×#364C2211yescharacteristic, complemented
58C47×#362C2211yescharacteristic, complemented
59C47×#361C2211yescharacteristic, complemented
60C47×#361C2211yescharacteristic, complemented
61C47×#361C2211yescharacteristic, complemented
62C47×#359C2211yescharacteristic, complemented
63C47×#359C2211yescharacteristic, complemented
64C47×#350C2211yescharacteristic, complemented
65C47×#350C2211yescharacteristic, complemented
66C47×#346C2211yescharacteristic, complemented
672−1+4×C47—21no—
68H(5,𝔽2)×C47—21no—
69H(5,𝔽2)×C47—21no—
70H(5,𝔽2)×C47—21no—
71#137×C47—21no—
72#137×C47—21no—
73#137×C47—41no—
74#137×C47—41no—
75AGL(1,ℤ/8)×C47—21no—
76AGL(1,ℤ/8)×C47—21no—
77AGL(1,ℤ/8)×C47—21no—
78AGL(1,ℤ/8)×C47—21no—
79AGL(1,ℤ/8)×C47—21no—
80AGL(1,ℤ/8)×C47—21no—
81AGL(1,ℤ/8)×C47—41no—
82AGL(1,ℤ/8)×C47—41no—
83AGL(1,ℤ/8)×C47—41no—
84AGL(1,ℤ/8)×C47—41no—
85AGL(1,ℤ/8)×C47—41no—
86AGL(1,ℤ/8)×C47—41no—
87#135×C47—21no—
88#135×C47—21no—
89#135×C47—21no—
90#135×C47—21no—
91#135×C47—41no—
92#135×C47—41no—
93#135×C47D411yescharacteristic
94#135×C47C2311yescharacteristic
95#135×C47C2311yescharacteristic
96C2×Q16×C47—21no—
97C2×Q16×C47C2311yescharacteristic
98C2×SD16×C47—21no—
99C2×SD16×C47—41no—
100C2×D8×C47—21no—
101C2×D8×C47—21no—
102C2×D8×C47—21no—
103C2×D8×C47—21no—
104C2×D8×C47—41no—
105C2×D8×C47C2311yescharacteristic
106C2×D8×C47C2311yescharacteristic
107C2×D8×C47C2311yescharacteristic
108#131×C47—21no—
109#131×C47—21no—
110#131×C47C2311yescharacteristic
111#131×C47C2311yescharacteristic
112#127×C47—21no—
113#124×C47—21no—
114Q32×C47—21no—
115Q32×C47D411yescharacteristic, complemented
116SD32×C47—21no—
117SD32×C47—21no—
118SD32×C47—21no—
119SD32×C47—21no—
120SD32×C47—21no—
121SD32×C47—21no—
122SD32×C47—41no—
123SD32×C47D411yescharacteristic, complemented
124SD32×C47D411yescharacteristic, complemented
125D16×C47—21no—
126D16×C47—21no—
127D16×C47—21no—
128D16×C47—21no—
129D16×C47—21no—
130D16×C47—41no—
131D16×C47D411yescharacteristic, complemented
132M32×C47—21no—
133M32×C47—21no—
134M32×C47C2311yescharacteristic
135M32×C47C2311yescharacteristic
136C2×C16×C47—21no—
137C2×C16×C47—21no—
138C2×C16×C47C2311yescharacteristic
139C2×C16×C47C2311yescharacteristic
140#108×C47D411yescharacteristic
141#108×C47C2311yescharacteristic
142#108×C47C2311yescharacteristic
143#104×C47—21no—
144#104×C47—21no—
145#104×C47D411yescharacteristic
146#104×C47D411yescharacteristic
147#101×C47—21no—
148#100×C47—21no—
149#100×C47—21no—
150#100×C47—21no—
151C4×C8×C47C2311yescharacteristic
152#41×C47—21no—
153#41×C47—21no—
154#41×C47—41no—
155#41×C47—41no—
156#41×C47—41no—
157#41×C47—41no—
158#41×C47—41no—
159#41×C47—41no—
160#41×C47—41no—
161#41×C47—41no—
162#41×C47—81no—
163#41×C47C2×D411yescharacteristic
164#41×C47C2×D411yescharacteristic
165C2×Q8×C47—21no—
166C2×Q8×C47—41no—
167C2×Q8×C47—41no—
168C2×D4×C47—21no—
169C2×D4×C47—21no—
170C2×D4×C47—21no—
171C2×D4×C47—41no—
172C2×D4×C47—41no—
173C2×D4×C47—41no—
174C2×D4×C47—41no—
175C2×D4×C47—41no—
176C2×D4×C47—41no—
177C2×D4×C47—81no—
178C2×D4×C47—81no—
179C2×D4×C47—81no—
180C2×D4×C47—81no—
181Q16×C47—21no—
182Q16×C47—21no—
183Q16×C47—41no—
184Q16×C47—41no—
185Q16×C47D811yescharacteristic
186Q16×C47C2×D411yescharacteristic
187Q16×C47C2×D411yescharacteristic
188SD16×C47—21no—
189SD16×C47—21no—
190SD16×C47—41no—
191SD16×C47—41no—
192SD16×C47—41no—
193SD16×C47—41no—
194SD16×C47—41no—
195SD16×C47—41no—
196SD16×C47—41no—
197SD16×C47—41no—
198SD16×C47—41no—
199SD16×C47—41no—
200SD16×C47D811yescharacteristic
201SD16×C47D811yescharacteristic
202D8×C47—21no—
203D8×C47—21no—
204D8×C47—21no—
205D8×C47—21no—
206D8×C47—21no—
207D8×C47—21no—
208D8×C47—41no—
209D8×C47—41no—
210D8×C47—41no—
211D8×C47—41no—
212D8×C47—41no—
213D8×C47—41no—
214D8×C47—41no—
215D8×C47—41no—
216D8×C47D811yescharacteristic
217D8×C47C2×D411yescharacteristic
218D8×C47C2×D411yescharacteristic
219M16×C47—21no—
220M16×C47—21no—
221M16×C47—21no—
222M16×C47—21no—
223M16×C47—41no—
224M16×C47—41no—
225M16×C47C2×D411yescharacteristic
226M16×C47C2×D411yescharacteristic
227C2×C8×C47—21no—
228C2×C8×C47—21no—
229C2×C8×C47—41no—
230C2×C8×C47—41no—
231C2×C8×C47C2×D411yescharacteristic
232C2×C8×C47C2411yescharacteristic
233C22⋊C4×C47—81no—
234C42×C47C2×D411yescharacteristic
235C16×C47—21no—
236C16×C47—21no—
237C16×C47—21no—
238C16×C47C2×D411yescharacteristic
239C16×C47C2×D411yescharacteristic
240C23×C47—41no—
241C23×C47—41no—
242C23×C47—41no—
243C23×C47—81no—
244C23×C47—81no—
245C23×C47—81no—
246Q8×C47—21no—
247Q8×C47—21no—
248Q8×C47—41no—
249Q8×C47—41no—
250Q8×C47—81no—
251Q8×C47C2×D811yescharacteristic
252Q8×C47C2×D811yescharacteristic
253D4×C47—21no—
254D4×C47—21no—
255D4×C47—21no—
256D4×C47—21no—
257D4×C47—41no—
258D4×C47—41no—
259D4×C47—41no—
260D4×C47—41no—
261D4×C47—41no—
262D4×C47—41no—
263D4×C47—41no—
264D4×C47—41no—
265D4×C47—81no—
266D4×C47—81no—
267D4×C47—81no—
268D4×C47—81no—
269D4×C47—81no—
270D4×C47—81no—
271D4×C47—81no—
272D4×C47—162no—
273D4×C47C2×D811yescharacteristic
274D4×C47C2×D811yescharacteristic
275C2×C4×C47—21no—
276C2×C4×C47—21no—
277C2×C4×C47—21no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—81no—
282C2×C4×C47—81no—
283C2×C4×C47—81no—
284C2×C4×C47—81no—
285C2×C4×C47—81no—
286C2×C4×C47C22×D411yescharacteristic
287C8×C47—21no—
288C8×C47—21no—
289C8×C47—41no—
290C8×C47—41no—
291C8×C47C2×D811yescharacteristic
292C8×C47C2×D811yescharacteristic
293C8×C47C22×D411yescharacteristic
294C8×C47H(5,𝔽2)11yescharacteristic
295#33854C4711yesmaximal, characteristic, direct product factor, Sylow
296C22×C47—21no—
297C22×C47—21no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—161no—
304C22×C47—161no—
305C22×C47—161no—
306C22×C47—321no—
307C22×C47—321no—
308C22×C47—321no—
309C22×C47#57611yescharacteristic
310C4×C47—21no—
311C4×C47—21no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—41no—
315C4×C47—81no—
316C4×C47D4211yescharacteristic
317C4×C47C22×D811yescharacteristic
318#3416C2×C4711yescharacteristic, complemented
319#3415C2×C4711yescharacteristic, complemented
320#3292C2×C4711yescharacteristic, complemented
321#3290C2×C4711yescharacteristic, complemented
322#2250C2×C4711yescharacteristic, complemented
323#2223C2×C4711yescharacteristic, complemented
324#2221C2×C4711yescharacteristic, complemented
325#2213C2×C4711yescharacteristic, complemented
326#2212C2×C4711yescharacteristic, complemented
327#2194C2×C4711yescharacteristic, complemented
328#2193C2×C4711yescharacteristic, complemented
329#2192C2×C4711yescharacteristic, complemented
330#2192C2×C4711yescharacteristic, complemented
331#2179C2×C4711yescharacteristic, complemented
332#2171C2×C4711yescharacteristic, complemented
333C2×C47—21no—
334C2×C47—41no—
335C2×C47—41no—
336C2×C47—81no—
337C2×C47—81no—
338C2×C47—161no—
339C2×C47—161no—
340C2×C47—161no—
341C2×C47D4×D811yescharacteristic
342#578C22×C4711yescharacteristic, complemented
343#577—21no—
344#576—21no—
345#576C22×C4711yescharacteristic
346#576C22×C4711yescharacteristic, complemented
347#576C22×C4711yescharacteristic, complemented
348#510—21no—
349#510C22×C4711yescharacteristic, complemented
350#509—21no—
351#509—21no—
352#509—21no—
353#509C22×C4711yescharacteristic
354#509C22×C4711yescharacteristic, complemented
355#509C22×C4711yescharacteristic, complemented
356#508—21no—
357#508—21no—
358#508C22×C4711yescharacteristic
359C2×SD32—21no—
360C2×SD32C22×C4711yescharacteristic, complemented
361C2×SD32C22×C4711yescharacteristic, complemented
362C2×D16—21no—
363C2×D16C22×C4711yescharacteristic, complemented
364C2×D16C22×C4711yescharacteristic, complemented
365#504C22×C4711yescharacteristic, complemented
366#504C22×C4711yescharacteristic, complemented
367#495C22×C4711yescharacteristic, complemented
368#493C22×C4711yescharacteristic, complemented
369#473C22×C4711yescharacteristic, complemented
370#472—21no—
371#472C22×C4711yescharacteristic
372#472C22×C4711yescharacteristic, complemented
373#472C22×C4711yescharacteristic, complemented
374#471—21no—
375#455—21no—
376#454—21no—
377#453—21no—
378#453—21no—
379#443C22×C4711yescharacteristic
380#443C22×C4711yescharacteristic, complemented
381#443C22×C4711yescharacteristic, complemented
382#368C22×C4711yescharacteristic, complemented
383#364C22×C4711yescharacteristic, complemented
384#362C22×C4711yescharacteristic, complemented
385#361C22×C4711yescharacteristic, complemented
386#361C22×C4711yescharacteristic, complemented
387#361C22×C4711yescharacteristic, complemented
388#359C22×C4711yescharacteristic, complemented
389#359C22×C4711yescharacteristic, complemented
390#350C22×C4711yescharacteristic, complemented
391#350C22×C4711yescharacteristic, complemented
392#346C22×C4711yescharacteristic, complemented
393C47#3385411yescharacteristic, direct product factor, Sylow
3942−1+4—21no—
395H(5,𝔽2)—21no—
396H(5,𝔽2)—21no—
397H(5,𝔽2)—21no—
398#137—21no—
399#137—21no—
400#137—41no—
401#137—41no—
402AGL(1,ℤ/8)—21no—
403AGL(1,ℤ/8)—21no—
404AGL(1,ℤ/8)—21no—
405AGL(1,ℤ/8)—21no—
406AGL(1,ℤ/8)—21no—
407AGL(1,ℤ/8)—21no—
408AGL(1,ℤ/8)—41no—
409AGL(1,ℤ/8)—41no—
410AGL(1,ℤ/8)—41no—
411AGL(1,ℤ/8)—41no—
412AGL(1,ℤ/8)—41no—
413AGL(1,ℤ/8)—41no—
414#135—21no—
415#135—21no—
416#135—21no—
417#135—21no—
418#135—41no—
419#135—41no—
420#135D4×C4711yescharacteristic
421#135C23×C4711yescharacteristic
422#135C23×C4711yescharacteristic
423C2×Q16—21no—
424C2×Q16C23×C4711yescharacteristic
425C2×SD16—21no—
426C2×SD16—41no—
427C2×D8—21no—
428C2×D8—21no—
429C2×D8—21no—
430C2×D8—21no—
431C2×D8—41no—
432C2×D8C23×C4711yescharacteristic
433C2×D8C23×C4711yescharacteristic
434C2×D8C23×C4711yescharacteristic
435#131—21no—
436#131—21no—
437#131C23×C4711yescharacteristic
438#131C23×C4711yescharacteristic
439#127—21no—
440#124—21no—
441Q32—21no—
442Q32D4×C4711yescharacteristic, complemented
443SD32—21no—
444SD32—21no—
445SD32—21no—
446SD32—21no—
447SD32—21no—
448SD32—21no—
449SD32—41no—
450SD32D4×C4711yescharacteristic, complemented
451SD32D4×C4711yescharacteristic, complemented
452D16—21no—
453D16—21no—
454D16—21no—
455D16—21no—
456D16—21no—
457D16—41no—
458D16D4×C4711yescharacteristic, complemented
459M32—21no—
460M32—21no—
461M32C23×C4711yescharacteristic
462M32C23×C4711yescharacteristic
463C2×C16—21no—
464C2×C16—21no—
465C2×C16C23×C4711yescharacteristic
466C2×C16C23×C4711yescharacteristic
467#108D4×C4711yescharacteristic
468#108C23×C4711yescharacteristic
469#108C23×C4711yescharacteristic
470#104—21no—
471#104—21no—
472#104D4×C4711yescharacteristic
473#104D4×C4711yescharacteristic
474#101—21no—
475#100—21no—
476#100—21no—
477#100—21no—
478C4×C8C23×C4711yescharacteristic
479#41—21no—
480#41—21no—
481#41—41no—
482#41—41no—
483#41—41no—
484#41—41no—
485#41—41no—
486#41—41no—
487#41—41no—
488#41—41no—
489#41—81no—
490#41C2×D4×C4711yescharacteristic
491#41C2×D4×C4711yescharacteristic
492C2×Q8—21no—
493C2×Q8—41no—
494C2×Q8—41no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—81no—
505C2×D4—81no—
506C2×D4—81no—
507C2×D4—81no—
508Q16—21no—
509Q16—21no—
510Q16—41no—
511Q16—41no—
512Q16D8×C4711yescharacteristic
513Q16C2×D4×C4711yescharacteristic
514Q16C2×D4×C4711yescharacteristic
515SD16—21no—
516SD16—21no—
517SD16—41no—
518SD16—41no—
519SD16—41no—
520SD16—41no—
521SD16—41no—
522SD16—41no—
523SD16—41no—
524SD16—41no—
525SD16—41no—
526SD16—41no—
527SD16D8×C4711yescharacteristic
528SD16D8×C4711yescharacteristic
529D8—21no—
530D8—21no—
531D8—21no—
532D8—21no—
533D8—21no—
534D8—21no—
535D8—41no—
536D8—41no—
537D8—41no—
538D8—41no—
539D8—41no—
540D8—41no—
541D8—41no—
542D8—41no—
543D8D8×C4711yescharacteristic
544D8C2×D4×C4711yescharacteristic
545D8C2×D4×C4711yescharacteristic
546M16—21no—
547M16—21no—
548M16—21no—
549M16—21no—
550M16—41no—
551M16—41no—
552M16C2×D4×C4711yescharacteristic
553M16C2×D4×C4711yescharacteristic
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8C2×D4×C4711yescharacteristic
559C2×C8C24×C4711yescharacteristic
560C22⋊C4—81no—
561C42C2×D4×C4711yescharacteristic
562C16—21no—
563C16—21no—
564C16—21no—
565C16C2×D4×C4711yescharacteristic
566C16C2×D4×C4711yescharacteristic
567C23—41no—
568C23—41no—
569C23—41no—
570C23—81no—
571C23—81no—
572C23—81no—
573Q8—21no—
574Q8—21no—
575Q8—41no—
576Q8—41no—
577Q8—81no—
578Q8C2×D8×C4711yescharacteristic
579Q8C2×D8×C4711yescharacteristic
580D4—21no—
581D4—21no—
582D4—21no—
583D4—21no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—81no—
593D4—81no—
594D4—81no—
595D4—81no—
596D4—81no—
597D4—81no—
598D4—81no—
599D4—162no—
600D4C2×D8×C4711yescharacteristic
601D4C2×D8×C4711yescharacteristic
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—81no—
612C2×C4—81no—
613C2×C4C22×D4×C4711yescharacteristic
614C8—21no—
615C8—21no—
616C8—41no—
617C8—41no—
618C8C2×D8×C4711yescharacteristic
619C8C2×D8×C4711yescharacteristic
620C8C22×D4×C4711yescharacteristic
621C8H(5,𝔽2)×C4711yescharacteristic
622C22—21no—
623C22—21no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—161no—
630C22—161no—
631C22—161no—
632C22—321no—
633C22—321no—
634C22—321no—
635C22C47×#57611yescharacteristic
636C4—21no—
637C4—21no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4D42×C4711yescharacteristic
643C4C22×D8×C4711yescharacteristic
644C2—21no—
645C2—41no—
646C2—41no—
647C2—81no—
648C2—81no—
649C2—161no—
650C2—161no—
651C2—161no—
652C2D4×D8×C4711yescharacteristic
subgroupG/H
center, socleC2×C47D4×D8
commutator, Frattini, cosocleC2×C8C24×C47
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C47 ◁ C2×C4×C47 ◁ C47×#443 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3416C2semidirect
2. C47×#3415C2semidirect
3. C47×#3292C2semidirect
4. C47×#3290C2semidirect
5. C47×#2250C2semidirect
6. C47×#2223C2semidirect
7. C47×#2221C2semidirect
8. C47×#2213C2semidirect
9. C47×#2212C2semidirect
10. C47×#2194C2semidirect
11. C47×#2193C2semidirect
12. C47×#2192C2semidirect
13. C47×#2192C2semidirect
14. C47×#2179C2semidirect
15. C47×#2171C2semidirect
16. C47×#578C22semidirect
20. C47×#576C22semidirect
21. C47×#576C22semidirect
23. C47×#510C22semidirect
28. C47×#509C22semidirect
29. C47×#509C22semidirect
34. C2×SD32×C47C22semidirect
35. C2×SD32×C47C22semidirect
37. C2×D16×C47C22semidirect
38. C2×D16×C47C22semidirect
39. C47×#504C22semidirect
40. C47×#504C22semidirect
41. C47×#495C22semidirect
42. C47×#493C22semidirect
43. C47×#473C22semidirect
46. C47×#472C22semidirect
47. C47×#472C22semidirect
54. C47×#443C22semidirect
55. C47×#443C22semidirect
56. C47×#368C22semidirect
57. C47×#364C22semidirect
58. C47×#362C22semidirect
59. C47×#361C22semidirect
60. C47×#361C22semidirect
61. C47×#361C22semidirect
62. C47×#359C22semidirect
63. C47×#359C22semidirect
64. C47×#350C22semidirect
65. C47×#350C22semidirect
66. C47×#346C22semidirect
115. Q32×C47D4semidirect
123. SD32×C47D4semidirect
124. SD32×C47D4semidirect
131. D16×C47D4semidirect
295. #33854C47direct (N × H)
318. #3416C2×C47semidirect
319. #3415C2×C47semidirect
320. #3292C2×C47semidirect
321. #3290C2×C47semidirect
322. #2250C2×C47semidirect
323. #2223C2×C47semidirect
324. #2221C2×C47semidirect
325. #2213C2×C47semidirect
326. #2212C2×C47semidirect
327. #2194C2×C47semidirect
328. #2193C2×C47semidirect
329. #2192C2×C47semidirect
330. #2192C2×C47semidirect
331. #2179C2×C47semidirect
332. #2171C2×C47semidirect
342. #578C22×C47semidirect
346. #576C22×C47semidirect
347. #576C22×C47semidirect
349. #510C22×C47semidirect
354. #509C22×C47semidirect
355. #509C22×C47semidirect
360. C2×SD32C22×C47semidirect
361. C2×SD32C22×C47semidirect
363. C2×D16C22×C47semidirect
364. C2×D16C22×C47semidirect
365. #504C22×C47semidirect
366. #504C22×C47semidirect
367. #495C22×C47semidirect
368. #493C22×C47semidirect
369. #473C22×C47semidirect
372. #472C22×C47semidirect
373. #472C22×C47semidirect
380. #443C22×C47semidirect
381. #443C22×C47semidirect
382. #368C22×C47semidirect
383. #364C22×C47semidirect
384. #362C22×C47semidirect
385. #361C22×C47semidirect
386. #361C22×C47semidirect
387. #361C22×C47semidirect
388. #359C22×C47semidirect
389. #359C22×C47semidirect
390. #350C22×C47semidirect
391. #350C22×C47semidirect
392. #346C22×C47semidirect
393. C47#33854direct (N × H)
442. Q32D4×C47semidirect
450. SD32D4×C47semidirect
451. SD32D4×C47semidirect
458. D16D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#34162
C47×#34152
C47×#32922
C47×#32902
C47×#22502
C47×#22232
C47×#22212
C47×#22132
C47×#22122
C47×#21942
C47×#21932
C47×#21922
C47×#21792
C47×#21712
#3385447