Finite Group Databasebeta

← C47×#22284 #26061982

Subgroups — C47×#22284 #26061982

Order 12032.

796 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3154C211yesmaximal, characteristic
2C47×#2957C211yesmaximal, characteristic, complemented
3C47×#2949C211yesmaximal, characteristic, complemented
4C47×#1977C211yesmaximal, characteristic, complemented
5C47×#1976C211yesmaximal, characteristic, complemented
6C47×#1912C211yesmaximal, characteristic, complemented
7C47×#1911C211yesmaximal, characteristic, complemented
8C47×#1910C211yesmaximal, characteristic, complemented
9C47×#1909C211yesmaximal, characteristic, complemented
10C47×#1905C211yesmaximal, characteristic, complemented
11C47×#1904C211yesmaximal, characteristic, complemented
12C47×#1903C211yesmaximal, characteristic, complemented
13C47×#1902C211yesmaximal, characteristic, complemented
14C47×#1833C211yesmaximal, characteristic, complemented
15C47×#1747C211yesmaximal, characteristic, complemented
16C2×#137×C47C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C47C2211yescharacteristic
18C2×#135×C47C2211yescharacteristic
19C22×SD16×C47C2211yescharacteristic
20C47×#568C2211yescharacteristic
21C47×#568C2211yescharacteristic
22C47×#536C2211yescharacteristic
23C47×#535C2211yescharacteristic
24C47×#519C2211yescharacteristic
25C47×#518C2211yescharacteristic
26C47×#497C412yescomplemented
27C47×#496C412yescomplemented
28C47×#495C412yescomplemented
29C47×#492C412yescomplemented
30C47×#444—22no—
31C47×#443—22no—
32C47×#440—22no—
33C4×SD16×C47—22no—
34C2×#108×C47C2211yescharacteristic
35C47×#427C2211yescharacteristic
36C47×#421C2211yescharacteristic
37C47×#421C2211yescharacteristic
38C47×#421C2211yescharacteristic
39C47×#421C2211yescharacteristic
40C47×#419C2211yescharacteristic
41C47×#419C2211yescharacteristic
42C47×#418C2211yescharacteristic
43C47×#418C2211yescharacteristic
44C2×#101×C47C2211yescharacteristic
45C2×#100×C47C2211yescharacteristic
46C47×#410C2211yescharacteristic
47C47×#410C2211yescharacteristic
48C47×#405C2211yescharacteristic
49C47×#405C2211yescharacteristic
50C47×#405C2211yescharacteristic
51C47×#344C2211yescharacteristic
52C47×#344C2211yescharacteristic
53C47×#338C2211yescharacteristic
54C47×H(3,ℤ/4)C2211yescharacteristic
55C47×H(3,ℤ/4)C2211yescharacteristic
56C47×H(3,ℤ/4)C2211yescharacteristic
57C47×H(3,ℤ/4)C2211yescharacteristic
58C47×H(3,ℤ/4)C2211yescharacteristic
59C2×#41×C47C2311yescharacteristic
60C2×#41×C47C2311yescharacteristic
61C22×Q8×C47C2311yescharacteristic
62C22×D4×C47C2311yescharacteristic
63#137×C47—41no—
64#137×C47—41no—
65AGL(1,ℤ/8)×C47—41no—
66AGL(1,ℤ/8)×C47—41no—
67#135×C47—21no—
68#135×C47—21no—
69#135×C47—21no—
70#135×C47—21no—
71C2×Q16×C47C2×C411yescharacteristic, complemented
72C2×Q16×C47C2×C412yescomplemented
73C2×SD16×C47—21no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47C2×C412yes—
78C2×SD16×C47C2×C412yes—
79C2×SD16×C47C2×C412yes—
80C2×SD16×C47C2×C411yescharacteristic, complemented
81C2×SD16×C47C2×C411yescharacteristic, complemented
82C2×SD16×C47C2×C412yescomplemented
83C2×D8×C47C2×C412yes—
84C2×D8×C47C2×C411yescharacteristic, complemented
85#131×C47—22no—
86#131×C47—22no—
87#131×C47—41no—
88#131×C47—41no—
89C2×M16×C47—41no—
90C2×M16×C47—41no—
91C2×M16×C47C2311yescharacteristic
92C2×M16×C47C2311yescharacteristic
93C2×M16×C47C2311yescharacteristic
94C2×M16×C47C2311yescharacteristic
95C2×M16×C47C2311yescharacteristic
96C22×C8×C47C2311yescharacteristic
97C4⋊Q8×C47C2×C412yescomplemented
98#127×C47C2×C412yes—
99#124×C47C2×C412yes—
100#124×C47C2×C412yescomplemented
101#123×C47—41no—
102C22⋊Q8×C47—41no—
103#121×C47—41no—
104#120×C47—41no—
105C4×Q8×C47—22no—
106C4×Q8×C47—41no—
107C4×D4×C47—22no—
108C4×D4×C47—41no—
109#117×C47—41no—
110#117×C47C2311yescharacteristic
111#117×C47C2311yescharacteristic
112#117×C47C2311yescharacteristic
113#117×C47C2311yescharacteristic
114#117×C47C2311yescharacteristic
115C2×C22⋊C4×C47—41no—
116#108×C47—21no—
117#108×C47—21no—
118#107×C47—21no—
119#106×C47—21no—
120#104×C47—22no—
121#104×C47—22no—
122#104×C47—41no—
123#104×C47—41no—
124#103×C47—22no—
125#103×C47—41no—
126#102×C47—22no—
127#102×C47—41no—
128#101×C47—41no—
129#100×C47—41no—
130#99×C47—41no—
131#99×C47—41no—
132#97×C47—21no—
133#97×C47C2×C412yescomplemented
134#97×C47D412yescomplemented
135C4×C8×C47—21no—
136C4×C8×C47C2×C412yescomplemented
137C4×C8×C47D412yescomplemented
138C24×C47—21no—
139#41×C47—21no—
140#41×C47—21no—
141#41×C47—21no—
142#41×C47—21no—
143#41×C47—21no—
144#41×C47—21no—
145#41×C47—21no—
146#41×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47—21no—
149C2×Q8×C47—21no—
150C2×Q8×C47—21no—
151C2×Q8×C47—21no—
152C2×Q8×C47C22×C411yescharacteristic
153C2×Q8×C47C22×C412yes—
154C2×Q8×C47C22×C411yescharacteristic
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—21no—
160C2×D4×C47—21no—
161C2×D4×C47—21no—
162C2×D4×C47—42no—
163C2×D4×C47C22×C412yes—
164C2×D4×C47C22×C411yescharacteristic
165C2×D4×C47C22×C411yescharacteristic
166C22×C4×C47—21no—
167C22×C4×C47—21no—
168C22×C4×C47—21no—
169C22×C4×C47—42no—
170C22×C4×C47C2411yescharacteristic
171Q16×C47—21no—
172Q16×C47—21no—
173Q16×C47—42no—
174SD16×C47—22no—
175SD16×C47—22no—
176SD16×C47—22no—
177SD16×C47—22no—
178SD16×C47—21no—
179SD16×C47—21no—
180SD16×C47—21no—
181SD16×C47—21no—
182SD16×C47—42no—
183SD16×C47—42no—
184D8×C47—21no—
185D8×C47—21no—
186D8×C47—42no—
187M16×C47—21no—
188M16×C47—21no—
189M16×C47—21no—
190M16×C47—21no—
191M16×C47—21no—
192M16×C47—21no—
193M16×C47—21no—
194M16×C47—21no—
195M16×C47—21no—
196M16×C47—21no—
197M16×C47—42no—
198M16×C47—42no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47—42no—
203C2×C8×C47—42no—
204C2×C8×C47C22×C412yes—
205C2×C8×C47C22×C411yescharacteristic
206C2×C8×C47C22×C411yescharacteristic
207C2×C8×C47C2×D412yes—
208C2×C8×C47C2×D411yescharacteristic
209C2×C8×C47C2×D411yescharacteristic
210C2×C8×C47#4111yescharacteristic
211C2×C8×C47#4111yescharacteristic
212C4⋊C4×C47—21no—
213C4⋊C4×C47—21no—
214C4⋊C4×C47—21no—
215C4⋊C4×C47—21no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—42no—
218C4⋊C4×C47—42no—
219C22⋊C4×C47—21no—
220C22⋊C4×C47—21no—
221C22⋊C4×C47—21no—
222C22⋊C4×C47—21no—
223C22⋊C4×C47—21no—
224C22⋊C4×C47—42no—
225C22⋊C4×C47—42no—
226C22⋊C4×C47—42no—
227C42×C47—21no—
228C42×C47—21no—
229C42×C47—21no—
230C42×C47—42no—
231C42×C47C22×C412yes—
232C42×C47C2×D412yes—
233C23×C47—21no—
234C23×C47—22no—
235C23×C47—21no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—161no—
239C23×C47H(5,𝔽2)11yescharacteristic
240Q8×C47—22no—
241Q8×C47—21no—
242Q8×C47—21no—
243Q8×C47—21no—
244Q8×C47—22no—
245Q8×C47—21no—
246Q8×C47—41no—
247Q8×C47—41no—
248D4×C47—21no—
249D4×C47—21no—
250D4×C47—22no—
251D4×C47—21no—
252D4×C47—22no—
253D4×C47—21no—
254D4×C47—41no—
255D4×C47—41no—
256D4×C47—41no—
257D4×C47—41no—
258D4×C47—41no—
259D4×C47—41no—
260D4×C47—162no—
261C2×C4×C47—22no—
262C2×C4×C47—21no—
263C2×C4×C47—22no—
264C2×C4×C47—21no—
265C2×C4×C47—22no—
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—162no—
276C2×C4×C47C23×C411yescharacteristic
277C2×C4×C47C22×D411yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47H(5,𝔽2)11yescharacteristic
280C2×C4×C47H(5,𝔽2)11yescharacteristic
281C2×C4×C47H(5,𝔽2)11yescharacteristic
282C8×C47—22no—
283C8×C47—22no—
284C8×C47—41no—
285C8×C47—41no—
286C8×C47—41no—
287C8×C47C4×D411yescharacteristic
288C8×C47C4×D411yescharacteristic
289C8×C47C4×D411yescharacteristic
290C8×C47C4×D411yescharacteristic
291#22284C4711yesmaximal, characteristic, direct product factor, Sylow
292C22×C47—41no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—42no—
296C22×C47—81no—
297C22×C47—82no—
298C22×C47—81no—
299C22×C47—82no—
300C22×C47—161no—
301C22×C47#51811yescharacteristic
302C22×C47#53511yescharacteristic
303C22×C47#54011yescharacteristic
304C4×C47—42no—
305C4×C47—42no—
306C4×C47—41no—
307C4×C47—41no—
308C4×C47—42no—
309C4×C47—81no—
310C4×C47—81no—
311C4×C47—81no—
312C4×C47C2×C4×D411yescharacteristic
313C4×C47#51811yescharacteristic
314C4×C47#53511yescharacteristic
315C4×C47#54011yescharacteristic
316#3154C2×C4711yescharacteristic
317#2957C2×C4711yescharacteristic, complemented
318#2949C2×C4711yescharacteristic, complemented
319#1977C2×C4711yescharacteristic, complemented
320#1976C2×C4711yescharacteristic, complemented
321#1912C2×C4711yescharacteristic, complemented
322#1911C2×C4711yescharacteristic, complemented
323#1910C2×C4711yescharacteristic, complemented
324#1909C2×C4711yescharacteristic, complemented
325#1905C2×C4711yescharacteristic, complemented
326#1904C2×C4711yescharacteristic, complemented
327#1903C2×C4711yescharacteristic, complemented
328#1902C2×C4711yescharacteristic, complemented
329#1833C2×C4711yescharacteristic, complemented
330#1747C2×C4711yescharacteristic, complemented
331C2×C47—21no—
332C2×C47—21no—
333C2×C47—21no—
334C2×C47—81no—
335C2×C47—81no—
336C2×C47—82no—
337C2×C47#232811yescharacteristic
338C2×#137C22×C4711yescharacteristic
339C2×AGL(1,ℤ/8)C22×C4711yescharacteristic
340C2×#135C22×C4711yescharacteristic
341C22×SD16C22×C4711yescharacteristic
342#568C22×C4711yescharacteristic
343#568C22×C4711yescharacteristic
344#536C22×C4711yescharacteristic
345#535C22×C4711yescharacteristic
346#519C22×C4711yescharacteristic
347#518C22×C4711yescharacteristic
348#497C4×C4712yescomplemented
349#496C4×C4712yescomplemented
350#495C4×C4712yescomplemented
351#492C4×C4712yescomplemented
352#444—22no—
353#443—22no—
354#440—22no—
355C4×SD16—22no—
356C2×#108C22×C4711yescharacteristic
357#427C22×C4711yescharacteristic
358#421C22×C4711yescharacteristic
359#421C22×C4711yescharacteristic
360#421C22×C4711yescharacteristic
361#421C22×C4711yescharacteristic
362#419C22×C4711yescharacteristic
363#419C22×C4711yescharacteristic
364#418C22×C4711yescharacteristic
365#418C22×C4711yescharacteristic
366C2×#101C22×C4711yescharacteristic
367C2×#100C22×C4711yescharacteristic
368#410C22×C4711yescharacteristic
369#410C22×C4711yescharacteristic
370#405C22×C4711yescharacteristic
371#405C22×C4711yescharacteristic
372#405C22×C4711yescharacteristic
373#344C22×C4711yescharacteristic
374#344C22×C4711yescharacteristic
375#338C22×C4711yescharacteristic
376H(3,ℤ/4)C22×C4711yescharacteristic
377H(3,ℤ/4)C22×C4711yescharacteristic
378H(3,ℤ/4)C22×C4711yescharacteristic
379H(3,ℤ/4)C22×C4711yescharacteristic
380H(3,ℤ/4)C22×C4711yescharacteristic
381C47#2228411yescharacteristic, direct product factor, Sylow
382C2×#41C23×C4711yescharacteristic
383C2×#41C23×C4711yescharacteristic
384C22×Q8C23×C4711yescharacteristic
385C22×D4C23×C4711yescharacteristic
386#137—41no—
387#137—41no—
388AGL(1,ℤ/8)—41no—
389AGL(1,ℤ/8)—41no—
390#135—21no—
391#135—21no—
392#135—21no—
393#135—21no—
394C2×Q16C2×C4×C4711yescharacteristic, complemented
395C2×Q16C2×C4×C4712yescomplemented
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16C2×C4×C4712yes—
401C2×SD16C2×C4×C4712yes—
402C2×SD16C2×C4×C4712yes—
403C2×SD16C2×C4×C4711yescharacteristic, complemented
404C2×SD16C2×C4×C4711yescharacteristic, complemented
405C2×SD16C2×C4×C4712yescomplemented
406C2×D8C2×C4×C4712yes—
407C2×D8C2×C4×C4711yescharacteristic, complemented
408#131—22no—
409#131—22no—
410#131—41no—
411#131—41no—
412C2×M16—41no—
413C2×M16—41no—
414C2×M16C23×C4711yescharacteristic
415C2×M16C23×C4711yescharacteristic
416C2×M16C23×C4711yescharacteristic
417C2×M16C23×C4711yescharacteristic
418C2×M16C23×C4711yescharacteristic
419C22×C8C23×C4711yescharacteristic
420C4⋊Q8C2×C4×C4712yescomplemented
421#127C2×C4×C4712yes—
422#124C2×C4×C4712yes—
423#124C2×C4×C4712yescomplemented
424#123—41no—
425C22⋊Q8—41no—
426#121—41no—
427#120—41no—
428C4×Q8—22no—
429C4×Q8—41no—
430C4×D4—22no—
431C4×D4—41no—
432#117—41no—
433#117C23×C4711yescharacteristic
434#117C23×C4711yescharacteristic
435#117C23×C4711yescharacteristic
436#117C23×C4711yescharacteristic
437#117C23×C4711yescharacteristic
438C2×C22⋊C4—41no—
439#108—21no—
440#108—21no—
441#107—21no—
442#106—21no—
443#104—22no—
444#104—22no—
445#104—41no—
446#104—41no—
447#103—22no—
448#103—41no—
449#102—22no—
450#102—41no—
451#101—41no—
452#100—41no—
453#99—41no—
454#99—41no—
455#97—21no—
456#97C2×C4×C4712yescomplemented
457#97D4×C4712yescomplemented
458C4×C8—21no—
459C4×C8C2×C4×C4712yescomplemented
460C4×C8D4×C4712yescomplemented
461C24—21no—
462#41—21no—
463#41—21no—
464#41—21no—
465#41—21no—
466#41—21no—
467#41—21no—
468#41—21no—
469#41—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8C22×C4×C4711yescharacteristic
476C2×Q8C22×C4×C4712yes—
477C2×Q8C22×C4×C4711yescharacteristic
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—42no—
486C2×D4C22×C4×C4712yes—
487C2×D4C22×C4×C4711yescharacteristic
488C2×D4C22×C4×C4711yescharacteristic
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4C24×C4711yescharacteristic
494Q16—21no—
495Q16—21no—
496Q16—42no—
497SD16—22no—
498SD16—22no—
499SD16—22no—
500SD16—22no—
501SD16—21no—
502SD16—21no—
503SD16—21no—
504SD16—21no—
505SD16—42no—
506SD16—42no—
507D8—21no—
508D8—21no—
509D8—42no—
510M16—21no—
511M16—21no—
512M16—21no—
513M16—21no—
514M16—21no—
515M16—21no—
516M16—21no—
517M16—21no—
518M16—21no—
519M16—21no—
520M16—42no—
521M16—42no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8C22×C4×C4712yes—
528C2×C8C22×C4×C4711yescharacteristic
529C2×C8C22×C4×C4711yescharacteristic
530C2×C8C2×D4×C4712yes—
531C2×C8C2×D4×C4711yescharacteristic
532C2×C8C2×D4×C4711yescharacteristic
533C2×C8#41×C4711yescharacteristic
534C2×C8#41×C4711yescharacteristic
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—42no—
554C42C22×C4×C4712yes—
555C42C2×D4×C4712yes—
556C23—21no—
557C23—22no—
558C23—21no—
559C23—41no—
560C23—41no—
561C23—161no—
562C23H(5,𝔽2)×C4711yescharacteristic
563Q8—22no—
564Q8—21no—
565Q8—21no—
566Q8—21no—
567Q8—22no—
568Q8—21no—
569Q8—41no—
570Q8—41no—
571D4—21no—
572D4—21no—
573D4—22no—
574D4—21no—
575D4—22no—
576D4—21no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—162no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—162no—
599C2×C4C23×C4×C4711yescharacteristic
600C2×C4C22×D4×C4711yescharacteristic
601C2×C4C2×#41×C4711yescharacteristic
602C2×C4H(5,𝔽2)×C4711yescharacteristic
603C2×C4H(5,𝔽2)×C4711yescharacteristic
604C2×C4H(5,𝔽2)×C4711yescharacteristic
605C8—22no—
606C8—22no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8C4×D4×C4711yescharacteristic
611C8C4×D4×C4711yescharacteristic
612C8C4×D4×C4711yescharacteristic
613C8C4×D4×C4711yescharacteristic
614C22—41no—
615C22—41no—
616C22—41no—
617C22—42no—
618C22—81no—
619C22—82no—
620C22—81no—
621C22—82no—
622C22—161no—
623C22C47×#51811yescharacteristic
624C22C47×#53511yescharacteristic
625C22C47×#54011yescharacteristic
626C4—42no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4C2×C4×D4×C4711yescharacteristic
635C4C47×#51811yescharacteristic
636C4C47×#53511yescharacteristic
637C4C47×#54011yescharacteristic
638C2—21no—
639C2—21no—
640C2—21no—
641C2—82no—
642C2—81no—
643C2—81no—
644C2C47×#232811yescharacteristic
subgroupG/H
center, socleC2×C47#2328
commutatorC2×C4C23×C4×C47
Frattini, cosocleC22×C4C24×C47
prime radicalC47×#3154C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C47 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2957C2semidirect
3. C47×#2949C2semidirect
4. C47×#1977C2semidirect
5. C47×#1976C2semidirect
6. C47×#1912C2semidirect
7. C47×#1911C2semidirect
8. C47×#1910C2semidirect
9. C47×#1909C2semidirect
10. C47×#1905C2semidirect
11. C47×#1904C2semidirect
12. C47×#1903C2semidirect
13. C47×#1902C2semidirect
14. C47×#1833C2semidirect
15. C47×#1747C2semidirect
26. C47×#497C4semidirect
27. C47×#496C4semidirect
28. C47×#495C4semidirect
29. C47×#492C4semidirect
71. C2×Q16×C47C2×C4semidirect
72. C2×Q16×C47C2×C4semidirect
80. C2×SD16×C47C2×C4semidirect
81. C2×SD16×C47C2×C4semidirect
82. C2×SD16×C47C2×C4semidirect
84. C2×D8×C47C2×C4semidirect
97. C4⋊Q8×C47C2×C4semidirect
100. #124×C47C2×C4semidirect
133. #97×C47C2×C4semidirect
134. #97×C47D4semidirect
136. C4×C8×C47C2×C4semidirect
137. C4×C8×C47D4semidirect
291. #22284C47direct (N × H)
317. #2957C2×C47semidirect
318. #2949C2×C47semidirect
319. #1977C2×C47semidirect
320. #1976C2×C47semidirect
321. #1912C2×C47semidirect
322. #1911C2×C47semidirect
323. #1910C2×C47semidirect
324. #1909C2×C47semidirect
325. #1905C2×C47semidirect
326. #1904C2×C47semidirect
327. #1903C2×C47semidirect
328. #1902C2×C47semidirect
329. #1833C2×C47semidirect
330. #1747C2×C47semidirect
348. #497C4×C47semidirect
349. #496C4×C47semidirect
350. #495C4×C47semidirect
351. #492C4×C47semidirect
381. C47#22284direct (N × H)
394. C2×Q16C2×C4×C47semidirect
395. C2×Q16C2×C4×C47semidirect
403. C2×SD16C2×C4×C47semidirect
404. C2×SD16C2×C4×C47semidirect
405. C2×SD16C2×C4×C47semidirect
407. C2×D8C2×C4×C47semidirect
420. C4⋊Q8C2×C4×C47semidirect
423. #124C2×C4×C47semidirect
456. #97C2×C4×C47semidirect
457. #97D4×C47semidirect
459. C4×C8C2×C4×C47semidirect
460. C4×C8D4×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#31542
C47×#29572
C47×#29492
C47×#19772
C47×#19762
C47×#19122
C47×#19112
C47×#19102
C47×#19092
C47×#19052
C47×#19042
C47×#19032
C47×#19022
C47×#18332
C47×#17472
#2228447