Finite Group Databasebeta

← C47×#22693 #26062391

Subgroups — C47×#22693 #26062391

Order 12032.

850 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#444C211yesmaximal, characteristic
2C47×#2952C211yesmaximal, characteristic
3C47×#2951C211yesmaximal, characteristic
4C47×#2913C211yesmaximal, characteristic, complemented
5C47×#2912C211yesmaximal, characteristic, complemented
6C47×#1952C211yesmaximal, characteristic, complemented
7C47×#1951C211yesmaximal, characteristic, complemented
8C47×#1860C211yesmaximal, characteristic, complemented
9C47×#1860C211yesmaximal, characteristic, complemented
10C47×#1859C211yesmaximal, characteristic, complemented
11C47×#1859C211yesmaximal, characteristic, complemented
12C47×#1847C211yesmaximal, characteristic, complemented
13C47×#1816C211yesmaximal, characteristic, complemented
14C47×#1815C211yesmaximal, characteristic, complemented
15C47×#1773C211yesmaximal, characteristic, complemented
16C2×#135×C47C2211yescharacteristic
17C2×#131×C47C2211yescharacteristic
18C2×#131×C47C2211yescharacteristic
19C47×#520C2211yescharacteristic
20C47×#520C2211yescharacteristic
21C47×#520C2211yescharacteristic
22C47×#520C2211yescharacteristic
23C47×#444C418yescomplemented
24C47×#442—21no—
25C47×#441—21no—
26C47×#440—21no—
27C47×#440—21no—
28C4×Q16×C47—21no—
29C4×SD16×C47—21no—
30C4×SD16×C47—21no—
31C4×D8×C47—21no—
32C2×#108×C47C2211yescharacteristic
33C2×#108×C47C2211yescharacteristic
34C47×#428—21no—
35C47×#428—21no—
36C47×#428—21no—
37C47×#428—21no—
38C47×#428C2211yescharacteristic
39C47×#428C2211yescharacteristic
40C47×#428C2211yescharacteristic
41C47×#428C2211yescharacteristic
42C47×#427—21no—
43C47×#427—21no—
44C47×#427C2211yescharacteristic
45C2×#107×C47—21no—
46C2×#107×C47C2211yescharacteristic
47C2×#107×C47C2211yescharacteristic
48C2×#106×C47—21no—
49C2×#106×C47C2211yescharacteristic
50C2×#106×C47C2211yescharacteristic
51C2×#104×C47C2211yescharacteristic
52C2×#104×C47C2211yescharacteristic
53C47×#417C2211yescharacteristic
54C47×#417C2211yescharacteristic
55C47×#417C2211yescharacteristic
56C47×#417C2211yescharacteristic
57C47×#405C2211yescharacteristic
58C47×#405C2211yescharacteristic
59C2×#97×C47C2211yescharacteristic
60C47×#384C2211yescharacteristic
61C47×#382C2211yescharacteristic
62C47×#343C2211yescharacteristic
63C47×#343C2211yescharacteristic
64C47×#343C2211yescharacteristic
65C47×#343C2211yescharacteristic
66C47×#339C2211yescharacteristic
67C47×#339C2211yescharacteristic
68C2×#41×C47C2311yescharacteristic
69C2×#41×C47C2311yescharacteristic
70#135×C47C2×C414yes—
71#135×C47Q814yes—
72C2×Q16×C47D411yescharacteristic
73C2×SD16×C47D411yescharacteristic
74C2×SD16×C47D411yescharacteristic
75C2×D8×C47D411yescharacteristic
76#131×C47—22no—
77#131×C47—22no—
78#131×C47C2×C414yescomplemented
79#131×C47C2×C414yescomplemented
80C2×M16×C47—21no—
81C2×M16×C47—21no—
82C2×M16×C47C2311yescharacteristic
83C2×M16×C47C2311yescharacteristic
84C2×M16×C47C2311yescharacteristic
85C2×M16×C47C2311yescharacteristic
86C22×C8×C47—21no—
87C22×C8×C47—21no—
88C22×C8×C47C2311yescharacteristic
89C22×C8×C47C2311yescharacteristic
90C4×Q8×C47—21no—
91C4×Q8×C47—21no—
92C4×Q8×C47—21no—
93C4×Q8×C47—21no—
94C4×D4×C47—21no—
95C4×D4×C47—21no—
96C4×D4×C47—21no—
97C4×D4×C47—21no—
98C4×D4×C47—41no—
99C4×D4×C47—41no—
100C4×D4×C47—41no—
101C4×D4×C47—41no—
102#117×C47—21no—
103#117×C47—21no—
104#117×C47—21no—
105#117×C47—21no—
106#117×C47C2311yescharacteristic
107#117×C47C2311yescharacteristic
108C2×C4⋊C4×C47—21no—
109C2×C4⋊C4×C47—21no—
110C2×C4⋊C4×C47—21no—
111C2×C4⋊C4×C47—21no—
112C2×C4⋊C4×C47—41no—
113C2×C4⋊C4×C47C2311yescharacteristic
114C2×C4⋊C4×C47C2311yescharacteristic
115C2×C4⋊C4×C47C2311yescharacteristic
116C2×C4⋊C4×C47C2311yescharacteristic
117C2×C42×C47C2311yescharacteristic
118#108×C47—22no—
119#108×C47C2×C414yescomplemented
120#107×C47—21no—
121#107×C47—21no—
122#107×C47—21no—
123#107×C47—21no—
124#107×C47—21no—
125#107×C47—21no—
126#107×C47—21no—
127#107×C47—21no—
128#107×C47D411yescharacteristic
129#107×C47D411yescharacteristic
130#106×C47—21no—
131#106×C47—21no—
132#106×C47—21no—
133#106×C47—21no—
134#106×C47—21no—
135#106×C47—21no—
136#106×C47—21no—
137#106×C47—21no—
138#106×C47D411yescharacteristic
139#106×C47D411yescharacteristic
140#104×C47C2×C414yescomplemented
141#104×C47C2×C414yescomplemented
142#103×C47—21no—
143#103×C47—21no—
144#103×C47—21no—
145#103×C47—21no—
146#102×C47—21no—
147#102×C47—21no—
148#102×C47—21no—
149#102×C47—21no—
150#97×C47—21no—
151#97×C47—21no—
152#97×C47C2×C414yescomplemented
153C4×C8×C47—21no—
154C4×C8×C47—21no—
155#95×C47—41no—
156#41×C47—21no—
157#41×C47—21no—
158#41×C47—21no—
159#41×C47—21no—
160#41×C47C22×C412yes—
161#41×C47C22×C412yes—
162#41×C47C2×Q812yes—
163#41×C47C2×Q812yes—
164C2×Q8×C47C2×D411yescharacteristic
165C2×Q8×C47C2×D411yescharacteristic
166C2×D4×C47—21no—
167C2×D4×C47—21no—
168C2×D4×C47C2×D411yescharacteristic
169C2×D4×C47C2×D411yescharacteristic
170C22×C4×C47—21no—
171C22×C4×C47—21no—
172C22×C4×C47—21no—
173C22×C4×C47—21no—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—41no—
178C22×C4×C47—41no—
179C22×C4×C47—41no—
180C22×C4×C47—41no—
181C22×C4×C47C2411yescharacteristic
182Q16×C47C4⋊C414yescomplemented
183SD16×C47C4⋊C414yescomplemented
184SD16×C47C4⋊C414yescomplemented
185D8×C47C4⋊C414yescomplemented
186M16×C47—21no—
187M16×C47—21no—
188M16×C47—24no—
189M16×C47—24no—
190M16×C47—21no—
191M16×C47—21no—
192M16×C47—21no—
193M16×C47—21no—
194M16×C47C22×C412yes—
195M16×C47C22×C412yes—
196C2×C8×C47—21no—
197C2×C8×C47—21no—
198C2×C8×C47—24no—
199C2×C8×C47—24no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47C22×C412yes—
203C2×C8×C47C22×C412yes—
204C2×C8×C47C2×D411yescharacteristic
205C2×C8×C47C2×D411yescharacteristic
206C2×C8×C47C2×D411yescharacteristic
207C2×C8×C47C2×D411yescharacteristic
208C2×C8×C47C2×Q812yes—
209C2×C8×C47#4112yes—
210C4⋊C4×C47—21no—
211C4⋊C4×C47—21no—
212C4⋊C4×C47—21no—
213C4⋊C4×C47—21no—
214C4⋊C4×C47—21no—
215C4⋊C4×C47—21no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—41no—
219C4⋊C4×C47—41no—
220C4⋊C4×C47—41no—
221C4⋊C4×C47—41no—
222C4⋊C4×C47—82no—
223C4⋊C4×C47C2×D411yescharacteristic
224C4⋊C4×C47C2×D411yescharacteristic
225C4⋊C4×C47C2×D411yescharacteristic
226C4⋊C4×C47C2×D411yescharacteristic
227C22⋊C4×C47—21no—
228C22⋊C4×C47—21no—
229C22⋊C4×C47—41no—
230C22⋊C4×C47—41no—
231C22⋊C4×C47—41no—
232C22⋊C4×C47—41no—
233C42×C47—21no—
234C42×C47—21no—
235C42×C47—21no—
236C42×C47—41no—
237C42×C47—41no—
238C42×C47—41no—
239C42×C47—41no—
240C42×C47C22×C412yes—
241C23×C47—21no—
242C23×C47—21no—
243C23×C47H(5,𝔽2)11yescharacteristic
244Q8×C47—21no—
245Q8×C47—21no—
246Q8×C47C2×C4⋊C412yes—
247Q8×C47C2×C4⋊C412yes—
248D4×C47—22no—
249D4×C47—22no—
250D4×C47—22no—
251D4×C47—22no—
252D4×C47—21no—
253D4×C47—21no—
254D4×C47C2×C4⋊C412yes—
255D4×C47C2×C4⋊C412yes—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
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—81no—
274C2×C4×C47—81no—
275C2×C4×C47—81no—
276C2×C4×C47—81no—
277C2×C4×C47—161no—
278C2×C4×C47—161no—
279C2×C4×C47—161no—
280C2×C4×C47—161no—
281C2×C4×C47C23×C411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C22×Q811yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C472−1+411yescharacteristic
287C8×C47—22no—
288C8×C47—22no—
289C8×C47—41no—
290C8×C47—41no—
291C8×C47C2×C4⋊C412yes—
292C8×C47C2×C4⋊C412yes—
293C8×C47C4×D412yes—
294C8×C47C4×D412yes—
295#22693C4711yesmaximal, characteristic, direct product factor, Sylow
296C22×C47—21no—
297C22×C47—21no—
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
304C22×C47#52011yescharacteristic
305C22×C47D4211yescharacteristic
306C22×C47#55411yescharacteristic
307C4×C47—22no—
308C4×C47—22no—
309C4×C47—42no—
310C4×C47—41no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—81no—
315C4×C47—81no—
316C4×C47—81no—
317C4×C47—81no—
318C4×C47C22×C4⋊C411yescharacteristic
319C4×C47C2×C4×D411yescharacteristic
320C4×C47#54711yescharacteristic
321C4×C47D4×Q811yescharacteristic
322C2×#444C2×C4711yescharacteristic
323#2952C2×C4711yescharacteristic
324#2951C2×C4711yescharacteristic
325#2913C2×C4711yescharacteristic, complemented
326#2912C2×C4711yescharacteristic, complemented
327#1952C2×C4711yescharacteristic, complemented
328#1951C2×C4711yescharacteristic, complemented
329#1860C2×C4711yescharacteristic, complemented
330#1860C2×C4711yescharacteristic, complemented
331#1859C2×C4711yescharacteristic, complemented
332#1859C2×C4711yescharacteristic, complemented
333#1847C2×C4711yescharacteristic, complemented
334#1816C2×C4711yescharacteristic, complemented
335#1815C2×C4711yescharacteristic, complemented
336#1773C2×C4711yescharacteristic, complemented
337C2×C47—21no—
338C2×C47—21no—
339C2×C47—42no—
340C2×C47—42no—
341C2×C47D4×C4⋊C411yescharacteristic
342C2×C47#328811yescharacteristic
343C2×C47#328911yescharacteristic
344C2×#135C22×C4711yescharacteristic
345C2×#131C22×C4711yescharacteristic
346C2×#131C22×C4711yescharacteristic
347#520C22×C4711yescharacteristic
348#520C22×C4711yescharacteristic
349#520C22×C4711yescharacteristic
350#520C22×C4711yescharacteristic
351#444C4×C4718yescomplemented
352#442—21no—
353#441—21no—
354#440—21no—
355#440—21no—
356C4×Q16—21no—
357C4×SD16—21no—
358C4×SD16—21no—
359C4×D8—21no—
360C2×#108C22×C4711yescharacteristic
361C2×#108C22×C4711yescharacteristic
362#428—21no—
363#428—21no—
364#428—21no—
365#428—21no—
366#428C22×C4711yescharacteristic
367#428C22×C4711yescharacteristic
368#428C22×C4711yescharacteristic
369#428C22×C4711yescharacteristic
370#427—21no—
371#427—21no—
372#427C22×C4711yescharacteristic
373C2×#107—21no—
374C2×#107C22×C4711yescharacteristic
375C2×#107C22×C4711yescharacteristic
376C2×#106—21no—
377C2×#106C22×C4711yescharacteristic
378C2×#106C22×C4711yescharacteristic
379C2×#104C22×C4711yescharacteristic
380C2×#104C22×C4711yescharacteristic
381#417C22×C4711yescharacteristic
382#417C22×C4711yescharacteristic
383#417C22×C4711yescharacteristic
384#417C22×C4711yescharacteristic
385#405C22×C4711yescharacteristic
386#405C22×C4711yescharacteristic
387C2×#97C22×C4711yescharacteristic
388#384C22×C4711yescharacteristic
389#382C22×C4711yescharacteristic
390#343C22×C4711yescharacteristic
391#343C22×C4711yescharacteristic
392#343C22×C4711yescharacteristic
393#343C22×C4711yescharacteristic
394#339C22×C4711yescharacteristic
395#339C22×C4711yescharacteristic
396C47#2269311yescharacteristic, direct product factor, Sylow
397C2×#41C23×C4711yescharacteristic
398C2×#41C23×C4711yescharacteristic
399#135C2×C4×C4714yes—
400#135Q8×C4714yes—
401C2×Q16D4×C4711yescharacteristic
402C2×SD16D4×C4711yescharacteristic
403C2×SD16D4×C4711yescharacteristic
404C2×D8D4×C4711yescharacteristic
405#131—22no—
406#131—22no—
407#131C2×C4×C4714yescomplemented
408#131C2×C4×C4714yescomplemented
409C2×M16—21no—
410C2×M16—21no—
411C2×M16C23×C4711yescharacteristic
412C2×M16C23×C4711yescharacteristic
413C2×M16C23×C4711yescharacteristic
414C2×M16C23×C4711yescharacteristic
415C22×C8—21no—
416C22×C8—21no—
417C22×C8C23×C4711yescharacteristic
418C22×C8C23×C4711yescharacteristic
419C4×Q8—21no—
420C4×Q8—21no—
421C4×Q8—21no—
422C4×Q8—21no—
423C4×D4—21no—
424C4×D4—21no—
425C4×D4—21no—
426C4×D4—21no—
427C4×D4—41no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—41no—
431#117—21no—
432#117—21no—
433#117—21no—
434#117—21no—
435#117C23×C4711yescharacteristic
436#117C23×C4711yescharacteristic
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—41no—
442C2×C4⋊C4C23×C4711yescharacteristic
443C2×C4⋊C4C23×C4711yescharacteristic
444C2×C4⋊C4C23×C4711yescharacteristic
445C2×C4⋊C4C23×C4711yescharacteristic
446C2×C42C23×C4711yescharacteristic
447#108—22no—
448#108C2×C4×C4714yescomplemented
449#107—21no—
450#107—21no—
451#107—21no—
452#107—21no—
453#107—21no—
454#107—21no—
455#107—21no—
456#107—21no—
457#107D4×C4711yescharacteristic
458#107D4×C4711yescharacteristic
459#106—21no—
460#106—21no—
461#106—21no—
462#106—21no—
463#106—21no—
464#106—21no—
465#106—21no—
466#106—21no—
467#106D4×C4711yescharacteristic
468#106D4×C4711yescharacteristic
469#104C2×C4×C4714yescomplemented
470#104C2×C4×C4714yescomplemented
471#103—21no—
472#103—21no—
473#103—21no—
474#103—21no—
475#102—21no—
476#102—21no—
477#102—21no—
478#102—21no—
479#97—21no—
480#97—21no—
481#97C2×C4×C4714yescomplemented
482C4×C8—21no—
483C4×C8—21no—
484#95—41no—
485#41—21no—
486#41—21no—
487#41—21no—
488#41—21no—
489#41C22×C4×C4712yes—
490#41C22×C4×C4712yes—
491#41C2×Q8×C4712yes—
492#41C2×Q8×C4712yes—
493C2×Q8C2×D4×C4711yescharacteristic
494C2×Q8C2×D4×C4711yescharacteristic
495C2×D4—21no—
496C2×D4—21no—
497C2×D4C2×D4×C4711yescharacteristic
498C2×D4C2×D4×C4711yescharacteristic
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4C24×C4711yescharacteristic
511Q16C4⋊C4×C4714yescomplemented
512SD16C4⋊C4×C4714yescomplemented
513SD16C4⋊C4×C4714yescomplemented
514D8C4⋊C4×C4714yescomplemented
515M16—21no—
516M16—21no—
517M16—24no—
518M16—24no—
519M16—21no—
520M16—21no—
521M16—21no—
522M16—21no—
523M16C22×C4×C4712yes—
524M16C22×C4×C4712yes—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8C22×C4×C4712yes—
532C2×C8C22×C4×C4712yes—
533C2×C8C2×D4×C4711yescharacteristic
534C2×C8C2×D4×C4711yescharacteristic
535C2×C8C2×D4×C4711yescharacteristic
536C2×C8C2×D4×C4711yescharacteristic
537C2×C8C2×Q8×C4712yes—
538C2×C8#41×C4712yes—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4—82no—
552C4⋊C4C2×D4×C4711yescharacteristic
553C4⋊C4C2×D4×C4711yescharacteristic
554C4⋊C4C2×D4×C4711yescharacteristic
555C4⋊C4C2×D4×C4711yescharacteristic
556C22⋊C4—21no—
557C22⋊C4—21no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—41no—
566C42—41no—
567C42—41no—
568C42—41no—
569C42C22×C4×C4712yes—
570C23—21no—
571C23—21no—
572C23H(5,𝔽2)×C4711yescharacteristic
573Q8—21no—
574Q8—21no—
575Q8C2×C4⋊C4×C4712yes—
576Q8C2×C4⋊C4×C4712yes—
577D4—22no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—21no—
582D4—21no—
583D4C2×C4⋊C4×C4712yes—
584D4C2×C4⋊C4×C4712yes—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—81no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—161no—
607C2×C4—161no—
608C2×C4—161no—
609C2×C4—161no—
610C2×C4C23×C4×C4711yescharacteristic
611C2×C4C22×D4×C4711yescharacteristic
612C2×C4C22×D4×C4711yescharacteristic
613C2×C4C22×Q8×C4711yescharacteristic
614C2×C4C2×#41×C4711yescharacteristic
615C2×C42−1+4×C4711yescharacteristic
616C8—22no—
617C8—22no—
618C8—41no—
619C8—41no—
620C8C2×C4⋊C4×C4712yes—
621C8C2×C4⋊C4×C4712yes—
622C8C4×D4×C4712yes—
623C8C4×D4×C4712yes—
624C22—21no—
625C22—21no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22C47×#52011yescharacteristic
633C22D42×C4711yescharacteristic
634C22C47×#55411yescharacteristic
635C4—22no—
636C4—22no—
637C4—42no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4C22×C4⋊C4×C4711yescharacteristic
647C4C2×C4×D4×C4711yescharacteristic
648C4C47×#54711yescharacteristic
649C4D4×Q8×C4711yescharacteristic
650C2—21no—
651C2—21no—
652C2—42no—
653C2—42no—
654C2D4×C4⋊C4×C4711yescharacteristic
655C2C47×#328811yescharacteristic
656C2C47×#328911yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutatorC2×C4C23×C4×C47
Frattini, cosocleC22×C4C24×C47
prime radicalC2×#135×C47C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C47 ◁ C22×C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
4. C47×#2913C2semidirect
5. C47×#2912C2semidirect
6. C47×#1952C2semidirect
7. C47×#1951C2semidirect
8. C47×#1860C2semidirect
9. C47×#1860C2semidirect
10. C47×#1859C2semidirect
11. C47×#1859C2semidirect
12. C47×#1847C2semidirect
13. C47×#1816C2semidirect
14. C47×#1815C2semidirect
15. C47×#1773C2semidirect
23. C47×#444C4semidirect
78. #131×C47C2×C4semidirect
79. #131×C47C2×C4semidirect
119. #108×C47C2×C4semidirect
140. #104×C47C2×C4semidirect
141. #104×C47C2×C4semidirect
152. #97×C47C2×C4semidirect
182. Q16×C47C4⋊C4semidirect
183. SD16×C47C4⋊C4semidirect
184. SD16×C47C4⋊C4semidirect
185. D8×C47C4⋊C4semidirect
295. #22693C47direct (N × H)
325. #2913C2×C47semidirect
326. #2912C2×C47semidirect
327. #1952C2×C47semidirect
328. #1951C2×C47semidirect
329. #1860C2×C47semidirect
330. #1860C2×C47semidirect
331. #1859C2×C47semidirect
332. #1859C2×C47semidirect
333. #1847C2×C47semidirect
334. #1816C2×C47semidirect
335. #1815C2×C47semidirect
336. #1773C2×C47semidirect
351. #444C4×C47semidirect
396. C47#22693direct (N × H)
407. #131C2×C4×C47semidirect
408. #131C2×C4×C47semidirect
448. #108C2×C4×C47semidirect
469. #104C2×C4×C47semidirect
470. #104C2×C4×C47semidirect
481. #97C2×C4×C47semidirect
511. Q16C4⋊C4×C47semidirect
512. SD16C4⋊C4×C47semidirect
513. SD16C4⋊C4×C47semidirect
514. D8C4⋊C4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4442
C47×#29522
C47×#29512
C47×#29132
C47×#29122
C47×#19522
C47×#19512
C47×#18602
C47×#18592
C47×#18472
C47×#18162
C47×#18152
C47×#17732
#2269347