Finite Group Databasebeta

← C47×#22160 #26061858

Subgroups — C47×#22160 #26061858

Order 12032.

880 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#460C211yesmaximal, characteristic
2C47×#2328C211yesmaximal, characteristic
3C47×#2320C211yesmaximal, characteristic, complemented
4C47×#1982C211yesmaximal, characteristic
5C47×#1973C211yesmaximal, characteristic, complemented
6C47×#1968C211yesmaximal, characteristic, complemented
7C47×#1949C211yesmaximal, characteristic, complemented
8C47×#1936C211yesmaximal, characteristic, complemented
9C47×#1934C211yesmaximal, characteristic, complemented
10C47×#1877C211yesmaximal, characteristic, complemented
11C47×#1877C211yesmaximal, characteristic, complemented
12C47×#1864C211yesmaximal, characteristic, complemented
13C47×#1862C211yesmaximal, characteristic, complemented
14C47×#1805C211yesmaximal, characteristic, complemented
15C47×#1768C211yesmaximal, characteristic, complemented
16C22×SD16×C47C2211yescharacteristic
17C22×SD16×C47C2211yescharacteristic
18C2×#127×C47C2211yescharacteristic
19C2×C4×Q8×C47C2211yescharacteristic
20C2×C4×D4×C47C2211yescharacteristic
21C2×C4×D4×C47C2211yescharacteristic
22C47×#460C418yescomplemented
23C2×#107×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×C4⋊C8×C47C2211yescharacteristic
26C2×C4⋊C8×C47C2211yescharacteristic
27C2×#103×C47C2211yescharacteristic
28C2×#103×C47C2211yescharacteristic
29C2×#102×C47C2211yescharacteristic
30C2×#102×C47C2211yescharacteristic
31C2×#102×C47C2211yescharacteristic
32C2×#102×C47C2211yescharacteristic
33C2×#102×C47C2211yescharacteristic
34C2×#102×C47C2211yescharacteristic
35C2×#97×C47C2211yescharacteristic
36C2×C4×C8×C47C2211yescharacteristic
37C47×#391C2211yescharacteristic
38C47×#391C2211yescharacteristic
39C47×#390C2211yescharacteristic
40C47×#390C2211yescharacteristic
41C47×#389C2211yescharacteristic
42C47×#389C2211yescharacteristic
43C47×#387—21no—
44C47×#387—21no—
45C47×#386—21no—
46C47×#386—21no—
47C47×#386—21no—
48C47×#386—21no—
49C47×#383—21no—
50C47×#382—21no—
51C47×#382C2211yescharacteristic
52C4×C4⋊C4×C47C2211yescharacteristic
53C47×#376C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C22×Q8×C47C2311yescharacteristic
61C22×D4×C47—21no—
62C22×D4×C47—21no—
63C22×D4×C47C2311yescharacteristic
64C22×D4×C47C2311yescharacteristic
65C23×C4×C47—21no—
66C23×C4×C47—21no—
67C2×SD16×C47—41no—
68C2×SD16×C47—41no—
69C2×SD16×C47—41no—
70C2×SD16×C47—41no—
71C2×SD16×C47C2×C414yescomplemented
72C2×SD16×C47C2×C414yescomplemented
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75C22×C8×C47C2311yescharacteristic
76C22×C8×C47C2311yescharacteristic
77#127×C47—22no—
78#127×C47C2×C414yes—
79C4×Q8×C47—22no—
80C4×Q8×C47C2×C414yescomplemented
81C4×D4×C47—41no—
82C4×D4×C47—41no—
83C4×D4×C47—41no—
84C4×D4×C47—41no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C22⋊C4×C47—21no—
94C2×C22⋊C4×C47—21no—
95C2×C22⋊C4×C47—21no—
96C2×C22⋊C4×C47—21no—
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C42×C47—21no—
100C2×C42×C47—21no—
101C2×C42×C47C2311yescharacteristic
102C2×C42×C47C2311yescharacteristic
103C2×C42×C47C2311yescharacteristic
104#107×C47—41no—
105#106×C47—41no—
106C4⋊C8×C47—22no—
107C4⋊C8×C47C2×C414yescomplemented
108#103×C47—41no—
109#103×C47—41no—
110#102×C47—41no—
111#102×C47—41no—
112#102×C47—41no—
113#102×C47—41no—
114#102×C47C2×C414yescomplemented
115#102×C47C2×C414yescomplemented
116#97×C47—41no—
117C4×C8×C47—41no—
118#95×C47—21no—
119#95×C47—21no—
120#95×C47—21no—
121#95×C47—21no—
122#95×C47—21no—
123#95×C47—21no—
124#95×C47—21no—
125#95×C47—21no—
126#95×C47—21no—
127#95×C47D411yescharacteristic
128#95×C47D411yescharacteristic
129#95×C47D411yescharacteristic
130#95×C47D411yescharacteristic
131C24×C47—21no—
132C24×C47—21no—
133C2×Q8×C47—21no—
134C2×Q8×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47C22×C412yes—
139C2×D4×C47—24no—
140C2×D4×C47—24no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—81no—
152C2×D4×C47—81no—
153C2×D4×C47—81no—
154C2×D4×C47—81no—
155C2×D4×C47C22×C412yes—
156C2×D4×C47C22×C412yes—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—21no—
163C22×C4×C47—42no—
164C22×C4×C47—42no—
165C22×C4×C47—81no—
166C22×C4×C47—81no—
167C22×C4×C47—81no—
168C22×C4×C47—81no—
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2×D411yescharacteristic
175C22×C4×C47C2411yescharacteristic
176SD16×C47—44no—
177SD16×C47—44no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47C22×C412yes—
189C2×C8×C47C22×C412yes—
190C4⋊C4×C47—24no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C4⋊C4×C47—21no—
200C4⋊C4×C47—81no—
201C4⋊C4×C47—81no—
202C4⋊C4×C47C22×C412yes—
203C22⋊C4×C47—42no—
204C22⋊C4×C47—42no—
205C22⋊C4×C47—81no—
206C22⋊C4×C47—81no—
207C22⋊C4×C47—81no—
208C22⋊C4×C47—81no—
209C42×C47—24no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47—21no—
213C42×C47—21no—
214C42×C47—81no—
215C42×C47C22×C412yes—
216C42×C47#4112yes—
217C23×C47—22no—
218C23×C47—22no—
219C23×C47—41no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47C22×D411yescharacteristic
232Q8×C47—22no—
233Q8×C47—22no—
234Q8×C47—41no—
235Q8×C47—41no—
236D4×C47—22no—
237D4×C47—22no—
238D4×C47—22no—
239D4×C47—22no—
240D4×C47—41no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—84no—
245D4×C47—84no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—21no—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
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—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—84no—
281C2×C4×C47—84no—
282C2×C4×C47C4×D412yes—
283C2×C4×C47C4×D412yes—
284C2×C4×C47C23×C411yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C2×C4×C47H(5,𝔽2)11yescharacteristic
288C2×C4×C47H(5,𝔽2)11yescharacteristic
289C2×C4×C472−1+411yescharacteristic
290C8×C47—22no—
291C8×C47—22no—
292C8×C47—41no—
293C8×C47—41no—
294#22160C4711yesmaximal, characteristic, direct product factor, Sylow
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—42no—
298C22×C47—42no—
299C22×C47—42no—
300C22×C47—42no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47—81no—
308C22×C47—81no—
309C22×C47C2×C4×D411yescharacteristic
310C22×C47#53511yescharacteristic
311C22×C47#53711yescharacteristic
312C22×C47#57611yescharacteristic
313C22×C47#57711yescharacteristic
314C22×C47#57711yescharacteristic
315C22×C47#57711yescharacteristic
316C4×C47—22no—
317C4×C47—22no—
318C4×C47—42no—
319C4×C47—42no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47—41no—
323C4×C47—41no—
324C4×C47—81no—
325C4×C47—81no—
326C4×C47—81no—
327C4×C47—81no—
328C4×C47#51811yescharacteristic
329C4×C47#52011yescharacteristic
330C4×C47#54011yescharacteristic
331C4×C47#54211yescharacteristic
332C2×#460C2×C4711yescharacteristic
333#2328C2×C4711yescharacteristic
334#2320C2×C4711yescharacteristic, complemented
335#1982C2×C4711yescharacteristic
336#1973C2×C4711yescharacteristic, complemented
337#1968C2×C4711yescharacteristic, complemented
338#1949C2×C4711yescharacteristic, complemented
339#1936C2×C4711yescharacteristic, complemented
340#1934C2×C4711yescharacteristic, complemented
341#1877C2×C4711yescharacteristic, complemented
342#1877C2×C4711yescharacteristic, complemented
343#1864C2×C4711yescharacteristic, complemented
344#1862C2×C4711yescharacteristic, complemented
345#1805C2×C4711yescharacteristic, complemented
346#1768C2×C4711yescharacteristic, complemented
347C2×C47—82no—
348C2×C47—82no—
349C2×C47#232411yescharacteristic
350C2×C47#294611yescharacteristic
351C2×C47#294911yescharacteristic
352C2×C47#322211yescharacteristic
353C2×C47#322411yescharacteristic
354C2×C47#325711yescharacteristic
355C2×C47#326011yescharacteristic
356C22×SD16C22×C4711yescharacteristic
357C22×SD16C22×C4711yescharacteristic
358C2×#127C22×C4711yescharacteristic
359C2×C4×Q8C22×C4711yescharacteristic
360C2×C4×D4C22×C4711yescharacteristic
361C2×C4×D4C22×C4711yescharacteristic
362#460C4×C4718yescomplemented
363C2×#107C22×C4711yescharacteristic
364C2×#106C22×C4711yescharacteristic
365C2×C4⋊C8C22×C4711yescharacteristic
366C2×C4⋊C8C22×C4711yescharacteristic
367C2×#103C22×C4711yescharacteristic
368C2×#103C22×C4711yescharacteristic
369C2×#102C22×C4711yescharacteristic
370C2×#102C22×C4711yescharacteristic
371C2×#102C22×C4711yescharacteristic
372C2×#102C22×C4711yescharacteristic
373C2×#102C22×C4711yescharacteristic
374C2×#102C22×C4711yescharacteristic
375C2×#97C22×C4711yescharacteristic
376C2×C4×C8C22×C4711yescharacteristic
377#391C22×C4711yescharacteristic
378#391C22×C4711yescharacteristic
379#390C22×C4711yescharacteristic
380#390C22×C4711yescharacteristic
381#389C22×C4711yescharacteristic
382#389C22×C4711yescharacteristic
383#387—21no—
384#387—21no—
385#386—21no—
386#386—21no—
387#386—21no—
388#386—21no—
389#383—21no—
390#382—21no—
391#382C22×C4711yescharacteristic
392C4×C4⋊C4C22×C4711yescharacteristic
393#376C22×C4711yescharacteristic
394#340C22×C4711yescharacteristic
395#340C22×C4711yescharacteristic
396#340C22×C4711yescharacteristic
397#340C22×C4711yescharacteristic
398#336C22×C4711yescharacteristic
399#336C22×C4711yescharacteristic
400C47#2216011yescharacteristic, direct product factor, Sylow
401C22×Q8C23×C4711yescharacteristic
402C22×D4—21no—
403C22×D4—21no—
404C22×D4C23×C4711yescharacteristic
405C22×D4C23×C4711yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C2×SD16—41no—
409C2×SD16—41no—
410C2×SD16—41no—
411C2×SD16—41no—
412C2×SD16C2×C4×C4714yescomplemented
413C2×SD16C2×C4×C4714yescomplemented
414C22×C8C23×C4711yescharacteristic
415C22×C8C23×C4711yescharacteristic
416C22×C8C23×C4711yescharacteristic
417C22×C8C23×C4711yescharacteristic
418#127—22no—
419#127C2×C4×C4714yes—
420C4×Q8—22no—
421C4×Q8C2×C4×C4714yescomplemented
422C4×D4—41no—
423C4×D4—41no—
424C4×D4—41no—
425C4×D4—41no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4C23×C4711yescharacteristic
430C2×C4⋊C4C23×C4711yescharacteristic
431C2×C4⋊C4C23×C4711yescharacteristic
432C2×C4⋊C4C23×C4711yescharacteristic
433C2×C4⋊C4C23×C4711yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C4711yescharacteristic
443C2×C42C23×C4711yescharacteristic
444C2×C42C23×C4711yescharacteristic
445#107—41no—
446#106—41no—
447C4⋊C8—22no—
448C4⋊C8C2×C4×C4714yescomplemented
449#103—41no—
450#103—41no—
451#102—41no—
452#102—41no—
453#102—41no—
454#102—41no—
455#102C2×C4×C4714yescomplemented
456#102C2×C4×C4714yescomplemented
457#97—41no—
458C4×C8—41no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95D4×C4711yescharacteristic
469#95D4×C4711yescharacteristic
470#95D4×C4711yescharacteristic
471#95D4×C4711yescharacteristic
472C24—21no—
473C24—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8C22×C4×C4712yes—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4—81no—
495C2×D4—81no—
496C2×D4C22×C4×C4712yes—
497C2×D4C22×C4×C4712yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C2×D4×C4711yescharacteristic
511C22×C4C2×D4×C4711yescharacteristic
512C22×C4C2×D4×C4711yescharacteristic
513C22×C4C2×D4×C4711yescharacteristic
514C22×C4C2×D4×C4711yescharacteristic
515C22×C4C2×D4×C4711yescharacteristic
516C22×C4C24×C4711yescharacteristic
517SD16—44no—
518SD16—44no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8C22×C4×C4712yes—
530C2×C8C22×C4×C4712yes—
531C4⋊C4—24no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—81no—
542C4⋊C4—81no—
543C4⋊C4C22×C4×C4712yes—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—81no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—24no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—81no—
556C42C22×C4×C4712yes—
557C42#41×C4712yes—
558C23—22no—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23C22×D4×C4711yescharacteristic
573Q8—22no—
574Q8—22no—
575Q8—41no—
576Q8—41no—
577D4—22no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4C4×D4×C4712yes—
624C2×C4C4×D4×C4712yes—
625C2×C4C23×C4×C4711yescharacteristic
626C2×C4C2×#41×C4711yescharacteristic
627C2×C4H(5,𝔽2)×C4711yescharacteristic
628C2×C4H(5,𝔽2)×C4711yescharacteristic
629C2×C4H(5,𝔽2)×C4711yescharacteristic
630C2×C42−1+4×C4711yescharacteristic
631C8—22no—
632C8—22no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C4×D4×C4711yescharacteristic
650C22C47×#53511yescharacteristic
651C22C47×#53711yescharacteristic
652C22C47×#57611yescharacteristic
653C22C47×#57711yescharacteristic
654C22C47×#57711yescharacteristic
655C22C47×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C47×#51811yescharacteristic
669C4C47×#52011yescharacteristic
670C4C47×#54011yescharacteristic
671C4C47×#54211yescharacteristic
672C2—82no—
673C2—82no—
674C2C47×#232411yescharacteristic
675C2C47×#294611yescharacteristic
676C2C47×#294911yescharacteristic
677C2C47×#322211yescharacteristic
678C2C47×#322411yescharacteristic
679C2C47×#325711yescharacteristic
680C2C47×#326011yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC22×C4C24×C47
prime radicalC2×#127×C47C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C47×#376 ◁ G

Complements

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

NH ≅ G/Ntype
3. C47×#2320C2semidirect
5. C47×#1973C2semidirect
6. C47×#1968C2semidirect
7. C47×#1949C2semidirect
8. C47×#1936C2semidirect
9. C47×#1934C2semidirect
10. C47×#1877C2semidirect
11. C47×#1877C2semidirect
12. C47×#1864C2semidirect
13. C47×#1862C2semidirect
14. C47×#1805C2semidirect
15. C47×#1768C2semidirect
22. C47×#460C4semidirect
71. C2×SD16×C47C2×C4semidirect
72. C2×SD16×C47C2×C4semidirect
80. C4×Q8×C47C2×C4semidirect
107. C4⋊C8×C47C2×C4semidirect
114. #102×C47C2×C4semidirect
115. #102×C47C2×C4semidirect
294. #22160C47direct (N × H)
334. #2320C2×C47semidirect
336. #1973C2×C47semidirect
337. #1968C2×C47semidirect
338. #1949C2×C47semidirect
339. #1936C2×C47semidirect
340. #1934C2×C47semidirect
341. #1877C2×C47semidirect
342. #1877C2×C47semidirect
343. #1864C2×C47semidirect
344. #1862C2×C47semidirect
345. #1805C2×C47semidirect
346. #1768C2×C47semidirect
362. #460C4×C47semidirect
400. C47#22160direct (N × H)
412. C2×SD16C2×C4×C47semidirect
413. C2×SD16C2×C4×C47semidirect
421. C4×Q8C2×C4×C47semidirect
448. C4⋊C8C2×C4×C47semidirect
455. #102C2×C4×C47semidirect
456. #102C2×C4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4602
C47×#23282
C47×#23202
C47×#19822
C47×#19732
C47×#19682
C47×#19492
C47×#19362
C47×#19342
C47×#18772
C47×#18642
C47×#18622
C47×#18052
C47×#17682
#2216047