Finite Group Databasebeta

← C47×#26842 #26066540

Subgroups — C47×#26842 #26066540

Order 12032.

882 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#489C211yesmaximal, characteristic, complemented
2C2×C47×#442C211yesmaximal, characteristic
3C47×#2452C211yesmaximal, characteristic, complemented
4C47×#2447C211yesmaximal, characteristic, complemented
5C47×#2066C211yesmaximal, characteristic, complemented
6C47×#2058C211yesmaximal, characteristic, complemented
7C47×#2054C211yesmaximal, characteristic
8C47×#2012C211yesmaximal, characteristic
9C47×#1968C211yesmaximal, characteristic, complemented
10C47×#1936C211yesmaximal, characteristic, complemented
11C47×#1935C211yesmaximal, characteristic, complemented
12C47×#1934C211yesmaximal, characteristic, complemented
13C47×#1877C211yesmaximal, characteristic, complemented
14C47×#1864C211yesmaximal, characteristic, complemented
15C47×#1770C211yesmaximal, characteristic, complemented
16C22×SD16×C47C2211yescharacteristic
17C22×D8×C47C2211yescharacteristic
18C2×C4⋊Q8×C47C2211yescharacteristic
19C2×#124×C47C2211yescharacteristic
20C2×C22⋊Q8×C47—21no—
21C2×C4×D4×C47C2211yescharacteristic
22C2×C4×D4×C47C2211yescharacteristic
23C47×#489—24no—
24C47×#442—24no—
25C2×#106×C47C2211yescharacteristic
26C2×#106×C47C2211yescharacteristic
27C2×C4⋊C8×C47C2211yescharacteristic
28C2×#103×C47C2211yescharacteristic
29C2×#103×C47C2211yescharacteristic
30C2×#103×C47C2211yescharacteristic
31C2×#102×C47C2211yescharacteristic
32C2×#102×C47C2211yescharacteristic
33C2×#102×C47C2211yescharacteristic
34C2×#102×C47C2211yescharacteristic
35C2×#102×C47C2211yescharacteristic
36C2×#97×C47C2211yescharacteristic
37C2×#97×C47C2211yescharacteristic
38C2×C4×C8×C47C2211yescharacteristic
39C47×#397—21no—
40C47×#397—21no—
41C47×#396—21no—
42C47×#393—21no—
43C47×#391C2211yescharacteristic
44C47×#391C2211yescharacteristic
45C47×#390C2211yescharacteristic
46C47×#390C2211yescharacteristic
47C47×#390C2211yescharacteristic
48C47×#389C2211yescharacteristic
49C47×#389C2211yescharacteristic
50C47×#389C2211yescharacteristic
51C47×#385—21no—
52C47×#385—21no—
53C47×#381—21no—
54C4×C4⋊C4×C47C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C47×#336C2211yescharacteristic
61C22×Q8×C47—21no—
62C22×Q8×C47C2311yescharacteristic
63C22×D4×C47C2311yescharacteristic
64C22×D4×C47C2311yescharacteristic
65C23×C4×C47—21no—
66C23×C4×C47—21no—
67C2×SD16×C47—22no—
68C2×SD16×C47—22no—
69C2×SD16×C47—41no—
70C2×D8×C47—22no—
71C2×D8×C47—22no—
72C2×D8×C47—22no—
73C22×C8×C47C2311yescharacteristic
74C22×C8×C47C2311yescharacteristic
75C22×C8×C47C2311yescharacteristic
76C22×C8×C47C2311yescharacteristic
77C4⋊Q8×C47—22no—
78C4⋊Q8×C47—41no—
79#124×C47—22no—
80#124×C47—41no—
81C22⋊Q8×C47—44no—
82C4×D4×C47—22no—
83C4×D4×C47—22no—
84C4×D4×C47—41no—
85C4×D4×C47—41no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47—21no—
89C2×C4⋊C4×C47—21no—
90C2×C4⋊C4×C47D411yescharacteristic
91C2×C4⋊C4×C47D411yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C4⋊C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47C2311yescharacteristic
95C2×C4⋊C4×C47C2311yescharacteristic
96C2×C4⋊C4×C47C2311yescharacteristic
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—21no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47—21no—
103C2×C22⋊C4×C47—21no—
104C2×C22⋊C4×C47—21no—
105C2×C22⋊C4×C47—21no—
106C2×C22⋊C4×C47—21no—
107C2×C42×C47C2311yescharacteristic
108C2×C42×C47C2311yescharacteristic
109C2×C42×C47C2311yescharacteristic
110#106×C47—22no—
111#106×C47—41no—
112C4⋊C8×C47—22no—
113#103×C47—22no—
114#103×C47—22no—
115#103×C47—22no—
116#102×C47—22no—
117#102×C47—22no—
118#102×C47—22no—
119#102×C47—22no—
120#102×C47D414yes—
121#97×C47—22no—
122#97×C47—22no—
123C4×C8×C47—22no—
124#95×C47—21no—
125#95×C47—21no—
126#95×C47—21no—
127#95×C47—21no—
128#95×C47—21no—
129#95×C47—21no—
130#95×C47—21no—
131#95×C47D411yescharacteristic
132#95×C47D411yescharacteristic
133C24×C47—21no—
134C24×C47—21no—
135C2×Q8×C47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—42no—
142C2×Q8×C47—42no—
143C2×Q8×C47—81no—
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—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47C2×D412yes—
155C2×D4×C47#4112yes—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—42no—
163C22×C4×C47—42no—
164C22×C4×C47—42no—
165C22×C4×C47—42no—
166C22×C4×C47—81no—
167C22×C4×C47—81no—
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2×D411yescharacteristic
174C22×C4×C47C2411yescharacteristic
175SD16×C47—44no—
176D8×C47—28no—
177C2×C8×C47—21no—
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×C47C2×D412yes—
187C2×C8×C47#4112yes—
188C2×C8×C47#4112yes—
189C4⋊C4×C47—22no—
190C4⋊C4×C47—21no—
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—41no—
200C4⋊C4×C47—42no—
201C4⋊C4×C47—42no—
202C4⋊C4×C47—42no—
203C4⋊C4×C47—81no—
204C4⋊C4×C47C2×D412yes—
205C22⋊C4×C47—42no—
206C22⋊C4×C47—42no—
207C22⋊C4×C47—42no—
208C22⋊C4×C47—42no—
209C22⋊C4×C47—42no—
210C22⋊C4×C47—42no—
211C22⋊C4×C47—42no—
212C22⋊C4×C47—42no—
213C22⋊C4×C47—81no—
214C22⋊C4×C47—81no—
215C42×C47—21no—
216C42×C47—21no—
217C42×C47—21no—
218C42×C47—21no—
219C42×C47—21no—
220C42×C47—21no—
221C23×C47—22no—
222C23×C47—22no—
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×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47C22×D411yescharacteristic
236Q8×C47—41no—
237Q8×C47—41no—
238Q8×C47—41no—
239Q8×C47—41no—
240Q8×C47—84no—
241D4×C47—22no—
242D4×C47—22no—
243D4×C47—22no—
244D4×C47—22no—
245D4×C47—41no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—41no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—22no—
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—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—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—41no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47—41no—
284C2×C4×C47—84no—
285C2×C4×C47—84no—
286C2×C4×C47AGL(1,ℤ/8)12yes—
287C2×C4×C47C22×D411yescharacteristic
288C2×C4×C47C2×#4111yescharacteristic
289C2×C4×C47C2×#4111yescharacteristic
290C2×C4×C47C2×#4111yescharacteristic
291C2×C4×C47H(5,𝔽2)11yescharacteristic
292C2×C4×C472−1+411yescharacteristic
293C8×C47—22no—
294C8×C47—22no—
295C8×C47—22no—
296C8×C47—41no—
297#26842C4711yesmaximal, characteristic, direct product factor, Sylow
298C22×C47—42no—
299C22×C47—42no—
300C22×C47—42no—
301C22×C47—42no—
302C22×C47—42no—
303C22×C47—42no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47—81no—
308C22×C47—81no—
309C22×C47—81no—
310C22×C47—81no—
311C22×C47—81no—
312C22×C47#53211yescharacteristic
313C22×C47D4211yescharacteristic
314C22×C47#54811yescharacteristic
315C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C47#57511yescharacteristic
317C22×C47#57711yescharacteristic
318C22×C47#57711yescharacteristic
319C4×C47—22no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47—41no—
323C4×C47—42no—
324C4×C47—41no—
325C4×C47—41no—
326C4×C47—81no—
327C4×C47—81no—
328C4×C47—81no—
329C4×C47—81no—
330C4×C47—81no—
331C4×C47#52511yescharacteristic
332C4×C47#54211yescharacteristic
333C4×C47#54711yescharacteristic
334C4×C47#55111yescharacteristic
335C2×#489C2×C4711yescharacteristic, complemented
336C2×#442C2×C4711yescharacteristic
337#2452C2×C4711yescharacteristic, complemented
338#2447C2×C4711yescharacteristic, complemented
339#2066C2×C4711yescharacteristic, complemented
340#2058C2×C4711yescharacteristic, complemented
341#2054C2×C4711yescharacteristic
342#2012C2×C4711yescharacteristic
343#1968C2×C4711yescharacteristic, complemented
344#1936C2×C4711yescharacteristic, complemented
345#1935C2×C4711yescharacteristic, complemented
346#1934C2×C4711yescharacteristic, complemented
347#1877C2×C4711yescharacteristic, complemented
348#1864C2×C4711yescharacteristic, complemented
349#1770C2×C4711yescharacteristic, complemented
350C2×C47—82no—
351C2×C47—82no—
352C2×C47#246111yescharacteristic
353C2×C47#317311yescharacteristic
354C2×C47#318011yescharacteristic
355C2×C47#327211yescharacteristic
356C2×C47#327511yescharacteristic
357C2×C47#337311yescharacteristic
358C2×C47#337611yescharacteristic
359C22×SD16C22×C4711yescharacteristic
360C22×D8C22×C4711yescharacteristic
361C2×C4⋊Q8C22×C4711yescharacteristic
362C2×#124C22×C4711yescharacteristic
363C2×C22⋊Q8—21no—
364C2×C4×D4C22×C4711yescharacteristic
365C2×C4×D4C22×C4711yescharacteristic
366#489—24no—
367#442—24no—
368C2×#106C22×C4711yescharacteristic
369C2×#106C22×C4711yescharacteristic
370C2×C4⋊C8C22×C4711yescharacteristic
371C2×#103C22×C4711yescharacteristic
372C2×#103C22×C4711yescharacteristic
373C2×#103C22×C4711yescharacteristic
374C2×#102C22×C4711yescharacteristic
375C2×#102C22×C4711yescharacteristic
376C2×#102C22×C4711yescharacteristic
377C2×#102C22×C4711yescharacteristic
378C2×#102C22×C4711yescharacteristic
379C2×#97C22×C4711yescharacteristic
380C2×#97C22×C4711yescharacteristic
381C2×C4×C8C22×C4711yescharacteristic
382#397—21no—
383#397—21no—
384#396—21no—
385#393—21no—
386#391C22×C4711yescharacteristic
387#391C22×C4711yescharacteristic
388#390C22×C4711yescharacteristic
389#390C22×C4711yescharacteristic
390#390C22×C4711yescharacteristic
391#389C22×C4711yescharacteristic
392#389C22×C4711yescharacteristic
393#389C22×C4711yescharacteristic
394#385—21no—
395#385—21no—
396#381—21no—
397C4×C4⋊C4C22×C4711yescharacteristic
398#340C22×C4711yescharacteristic
399#340C22×C4711yescharacteristic
400#340C22×C4711yescharacteristic
401#340C22×C4711yescharacteristic
402#336C22×C4711yescharacteristic
403#336C22×C4711yescharacteristic
404C47#2684211yescharacteristic, direct product factor, Sylow
405C22×Q8—21no—
406C22×Q8C23×C4711yescharacteristic
407C22×D4C23×C4711yescharacteristic
408C22×D4C23×C4711yescharacteristic
409C23×C4—21no—
410C23×C4—21no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—41no—
414C2×D8—22no—
415C2×D8—22no—
416C2×D8—22no—
417C22×C8C23×C4711yescharacteristic
418C22×C8C23×C4711yescharacteristic
419C22×C8C23×C4711yescharacteristic
420C22×C8C23×C4711yescharacteristic
421C4⋊Q8—22no—
422C4⋊Q8—41no—
423#124—22no—
424#124—41no—
425C22⋊Q8—44no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—41no—
429C4×D4—41no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C4711yescharacteristic
435C2×C4⋊C4D4×C4711yescharacteristic
436C2×C4⋊C4C23×C4711yescharacteristic
437C2×C4⋊C4C23×C4711yescharacteristic
438C2×C4⋊C4C23×C4711yescharacteristic
439C2×C4⋊C4C23×C4711yescharacteristic
440C2×C4⋊C4C23×C4711yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C42C23×C4711yescharacteristic
452C2×C42C23×C4711yescharacteristic
453C2×C42C23×C4711yescharacteristic
454#106—22no—
455#106—41no—
456C4⋊C8—22no—
457#103—22no—
458#103—22no—
459#103—22no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#102D4×C4714yes—
465#97—22no—
466#97—22no—
467C4×C8—22no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95D4×C4711yescharacteristic
476#95D4×C4711yescharacteristic
477C24—21no—
478C24—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—42no—
486C2×Q8—42no—
487C2×Q8—81no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4C2×D4×C4712yes—
499C2×D4#41×C4712yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4C2×D4×C4711yescharacteristic
513C22×C4C2×D4×C4711yescharacteristic
514C22×C4C2×D4×C4711yescharacteristic
515C22×C4C2×D4×C4711yescharacteristic
516C22×C4C2×D4×C4711yescharacteristic
517C22×C4C2×D4×C4711yescharacteristic
518C22×C4C24×C4711yescharacteristic
519SD16—44no—
520D8—28no—
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×C8—21no—
530C2×C8C2×D4×C4712yes—
531C2×C8#41×C4712yes—
532C2×C8#41×C4712yes—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—41no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4C2×D4×C4712yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C23—22no—
566C23—22no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23C22×D4×C4711yescharacteristic
580Q8—41no—
581Q8—41no—
582Q8—41no—
583Q8—41no—
584Q8—84no—
585D4—22no—
586D4—22no—
587D4—22no—
588D4—22no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
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—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4AGL(1,ℤ/8)×C4712yes—
631C2×C4C22×D4×C4711yescharacteristic
632C2×C4C2×#41×C4711yescharacteristic
633C2×C4C2×#41×C4711yescharacteristic
634C2×C4C2×#41×C4711yescharacteristic
635C2×C4H(5,𝔽2)×C4711yescharacteristic
636C2×C42−1+4×C4711yescharacteristic
637C8—22no—
638C8—22no—
639C8—22no—
640C8—41no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22C47×#53211yescharacteristic
656C22D42×C4711yescharacteristic
657C22C47×#54811yescharacteristic
658C22C2×AGL(1,ℤ/8)×C4711yescharacteristic
659C22C47×#57511yescharacteristic
660C22C47×#57711yescharacteristic
661C22C47×#57711yescharacteristic
662C4—22no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—42no—
667C4—41no—
668C4—41no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4C47×#52511yescharacteristic
675C4C47×#54211yescharacteristic
676C4C47×#54711yescharacteristic
677C4C47×#55111yescharacteristic
678C2—82no—
679C2—82no—
680C2C47×#246111yescharacteristic
681C2C47×#317311yescharacteristic
682C2C47×#318011yescharacteristic
683C2C47×#327211yescharacteristic
684C2C47×#327511yescharacteristic
685C2C47×#337311yescharacteristic
686C2C47×#337611yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC22×D8×C47C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C4×C4⋊C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#489C2semidirect
3. C47×#2452C2semidirect
4. C47×#2447C2semidirect
5. C47×#2066C2semidirect
6. C47×#2058C2semidirect
9. C47×#1968C2semidirect
10. C47×#1936C2semidirect
11. C47×#1935C2semidirect
12. C47×#1934C2semidirect
13. C47×#1877C2semidirect
14. C47×#1864C2semidirect
15. C47×#1770C2semidirect
297. #26842C47direct (N × H)
335. C2×#489C2×C47semidirect
337. #2452C2×C47semidirect
338. #2447C2×C47semidirect
339. #2066C2×C47semidirect
340. #2058C2×C47semidirect
343. #1968C2×C47semidirect
344. #1936C2×C47semidirect
345. #1935C2×C47semidirect
346. #1934C2×C47semidirect
347. #1877C2×C47semidirect
348. #1864C2×C47semidirect
349. #1770C2×C47semidirect
404. C47#26842direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C47×#4892
C2×C47×#4422
C47×#24522
C47×#24472
C47×#20662
C47×#20582
C47×#20542
C47×#20122
C47×#19682
C47×#19362
C47×#19352
C47×#19342
C47×#18772
C47×#18642
C47×#17702
#2684247