Finite Group Databasebeta

← C47×#18825 #26058523

Subgroups — C47×#18825 #26058523

Order 12032.

846 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3523C211yesmaximal, characteristic
2C47×#3252C211yesmaximal, characteristic
3C47×#3231C211yesmaximal, characteristic, complemented
4C47×#3078C211yesmaximal, characteristic, complemented
5C47×#1653C211yesmaximal, characteristic, complemented
6C47×#1651C211yesmaximal, characteristic, complemented
7C47×#1650C211yesmaximal, characteristic, complemented
8C47×#1648C211yesmaximal, characteristic, complemented
9C47×#1638C211yesmaximal, characteristic, complemented
10C47×#1637C211yesmaximal, characteristic, complemented
11C47×#1636C211yesmaximal, characteristic, complemented
12C47×#1636C211yesmaximal, characteristic, complemented
13C47×#1561C211yesmaximal, characteristic, complemented
14C47×#1495C211yesmaximal, characteristic
15C47×#1487C211yesmaximal, characteristic, complemented
16C47×#557—21no—
17C47×#557C2211yescharacteristic
18C47×#557C2211yescharacteristic
19C47×#556—21no—
20C47×#556C2211yescharacteristic
21C47×#552—22no—
22C47×#552—21no—
23D4×Q8×C47—21no—
24D4×Q8×C47C2211yescharacteristic
25C47×#541—22no—
26C47×#541—21no—
27C47×#533—21no—
28C47×#533C2211yescharacteristic
29C47×#533C2211yescharacteristic
30C47×#529—21no—
31C47×#529C2211yescharacteristic
32C47×#519—21no—
33C2×C4×Q8×C47C2211yescharacteristic
34C47×#500C2211yescharacteristic
35C47×#498C2211yescharacteristic
36C47×#487C2211yescharacteristic
37C47×#487C2211yescharacteristic
38C47×#485—22no—
39C47×#479—22no—
40C47×#479—21no—
41C47×#479—21no—
42C47×#479—21no—
43C47×#477C2211yescharacteristic
44C47×#477C2211yescharacteristic
45C47×#477C2211yescharacteristic
46C47×#476C2211yescharacteristic
47C47×#475C2211yescharacteristic
48C47×#475C2211yescharacteristic
49C47×#470—21no—
50C47×#468—21no—
51C47×#464—21no—
52C47×#462C2211yescharacteristic
53C47×#461C2211yescharacteristic
54C47×#431C2211yescharacteristic
55C47×#428—21no—
56C47×#423C2211yescharacteristic
57C47×#423C2211yescharacteristic
58C47×#419—21no—
59C47×#332C2211yescharacteristic
60C47×#332C2211yescharacteristic
61C47×#332C2211yescharacteristic
62C47×#332C2211yescharacteristic
63C47×Q8⋊C8C2211yescharacteristic
64C47×Q8⋊C8C2211yescharacteristic
65C47×Q8⋊C8C2211yescharacteristic
66C47×Q8⋊C8C2211yescharacteristic
67C47×Q8⋊C8C2211yescharacteristic
68C47×Q8⋊C8C2211yescharacteristic
69C47×D4⋊C8C2211yescharacteristic
70C47×D4⋊C8C2211yescharacteristic
71C22×Q8×C47—21no—
72C22×Q8×C47D411yescharacteristic
73C2×Q16×C47—21no—
74C2×SD16×C47—21no—
75C2×M16×C47—21no—
76C2×M16×C47—21no—
77C4⋊Q8×C47—22no—
78C4⋊Q8×C47—21no—
79C4⋊Q8×C47—21no—
80C4⋊Q8×C47—21no—
81C4⋊Q8×C47C2311yescharacteristic
82C4⋊Q8×C47C2311yescharacteristic
83C4⋊Q8×C47C2311yescharacteristic
84C4⋊Q8×C47C2311yescharacteristic
85#126×C47—22no—
86#126×C47—22no—
87#126×C47—22no—
88#126×C47—22no—
89#126×C47—21no—
90#125×C47—22no—
91#125×C47—22no—
92#125×C47—22no—
93#125×C47—21no—
94#125×C47—22no—
95#125×C47—22no—
96#125×C47—21no—
97#125×C47—21no—
98#125×C47D411yescharacteristic
99#125×C47D412yes—
100#124×C47—21no—
101#124×C47D411yescharacteristic
102#123×C47—22no—
103#123×C47—21no—
104C22⋊Q8×C47—22no—
105C22⋊Q8×C47—22no—
106C22⋊Q8×C47—21no—
107C22⋊Q8×C47—21no—
108C22⋊Q8×C47—21no—
109C22⋊Q8×C47—21no—
110C22⋊Q8×C47—22no—
111C22⋊Q8×C47—21no—
112C22⋊Q8×C47—21no—
113C22⋊Q8×C47D411yescharacteristic
114#121×C47D411yescharacteristic
115C4×Q8×C47—22no—
116C4×Q8×C47—22no—
117C4×Q8×C47—21no—
118C4×Q8×C47—21no—
119C4×Q8×C47—21no—
120C4×Q8×C47—21no—
121C4×Q8×C47—21no—
122C4×Q8×C47—21no—
123C4×Q8×C47—21no—
124C4×Q8×C47—21no—
125C4×Q8×C47—21no—
126C4×Q8×C47—21no—
127C4×Q8×C47—21no—
128C4×Q8×C47D411yescharacteristic
129C4×Q8×C47D411yescharacteristic
130C4×Q8×C47C2311yescharacteristic
131C4×Q8×C47C2311yescharacteristic
132C4×Q8×C47C2311yescharacteristic
133C4×D4×C47—22no—
134C4×D4×C47—21no—
135C4×D4×C47—21no—
136C4×D4×C47C2311yescharacteristic
137#117×C47—22no—
138#117×C47—22no—
139#117×C47—22no—
140#117×C47—21no—
141#117×C47—21no—
142#117×C47—21no—
143#117×C47D412yes—
144C2×C4⋊C4×C47—21no—
145C2×C4⋊C4×C47D411yescharacteristic
146C2×C42×C47—21no—
147C2×C42×C47C2311yescharacteristic
148#107×C47—21no—
149#107×C47—21no—
150#107×C47—21no—
151#107×C47—22no—
152#106×C47—21no—
153#106×C47—21no—
154#106×C47—21no—
155#106×C47—22no—
156C4⋊C8×C47—21no—
157C4⋊C8×C47—21no—
158C4⋊C8×C47—21no—
159C4⋊C8×C47C2311yescharacteristic
160C4⋊C8×C47C2311yescharacteristic
161C4⋊C8×C47C2311yescharacteristic
162C4⋊C8×C47C2311yescharacteristic
163#103×C47—21no—
164#103×C47—21no—
165#103×C47—21no—
166#103×C47—21no—
167#103×C47—21no—
168#103×C47—21no—
169#103×C47—21no—
170#103×C47—22no—
171#103×C47—22no—
172#102×C47—21no—
173C22⋊C8×C47—21no—
174C4×C8×C47C2311yescharacteristic
175C4×C8×C47C2311yescharacteristic
176C2×Q8×C47—22no—
177C2×Q8×C47—21no—
178C2×Q8×C47—21no—
179C2×Q8×C47—21no—
180C2×Q8×C47—22no—
181C2×Q8×C47—21no—
182C2×Q8×C47—21no—
183C2×Q8×C47—41no—
184C2×Q8×C47—42no—
185C2×Q8×C47—42no—
186C2×Q8×C47C2×D411yescharacteristic
187C2×Q8×C47C2×D411yescharacteristic
188C2×Q8×C47C2×D411yescharacteristic
189C2×D4×C47—21no—
190C2×D4×C47C2×D411yescharacteristic
191C22×C4×C47—22no—
192C22×C4×C47—21no—
193C22×C4×C47—21no—
194C22×C4×C47—21no—
195C22×C4×C47C2×D411yescharacteristic
196C22×C4×C47C2×D411yescharacteristic
197C22×C4×C47C2×D411yescharacteristic
198Q16×C47—81no—
199SD16×C47—81no—
200M16×C47—42no—
201M16×C47—81no—
202C2×C8×C47—21no—
203C2×C8×C47—21no—
204C2×C8×C47—21no—
205C2×C8×C47—21no—
206C2×C8×C47—21no—
207C2×C8×C47—21no—
208C4⋊C4×C47—22no—
209C4⋊C4×C47—22no—
210C4⋊C4×C47—22no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47—22no—
213C4⋊C4×C47—22no—
214C4⋊C4×C47—22no—
215C4⋊C4×C47—22no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—21no—
219C4⋊C4×C47—22no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—22no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47—21no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47—21no—
230C4⋊C4×C47—21no—
231C4⋊C4×C47—21no—
232C4⋊C4×C47—21no—
233C4⋊C4×C47—41no—
234C4⋊C4×C47—41no—
235C4⋊C4×C47C2×D412yes—
236C4⋊C4×C47C2×D411yescharacteristic
237C4⋊C4×C47C2×D412yes—
238C4⋊C4×C47C2×D411yescharacteristic
239C4⋊C4×C47C2×D411yescharacteristic
240C4⋊C4×C47C2×D411yescharacteristic
241C22⋊C4×C47—22no—
242C22⋊C4×C47—22no—
243C22⋊C4×C47—22no—
244C22⋊C4×C47—21no—
245C22⋊C4×C47—22no—
246C22⋊C4×C47—21no—
247C22⋊C4×C47—21no—
248C22⋊C4×C47—21no—
249C22⋊C4×C47—21no—
250C22⋊C4×C47—41no—
251C42×C47—22no—
252C42×C47—22no—
253C42×C47—22no—
254C42×C47—21no—
255C42×C47—21no—
256C42×C47—22no—
257C42×C47—21no—
258C42×C47—21no—
259C42×C47—21no—
260C42×C47—41no—
261C42×C47C2×D411yescharacteristic
262C42×C47C2×D411yescharacteristic
263C42×C47C2×D411yescharacteristic
264C42×C47C2411yescharacteristic
265C23×C47—21no—
266C23×C47#12011yescharacteristic
267Q8×C47—21no—
268Q8×C47—21no—
269Q8×C47—21no—
270Q8×C47—21no—
271Q8×C47—21no—
272Q8×C47—42no—
273Q8×C47—44no—
274Q8×C47—42no—
275Q8×C47—41no—
276Q8×C47—41no—
277Q8×C47—41no—
278Q8×C47—41no—
279Q8×C47—41no—
280Q8×C47—41no—
281Q8×C47#13712yes—
282D4×C47—21no—
283D4×C47—21no—
284D4×C47—42no—
285C2×C4×C47—21no—
286C2×C4×C47—21no—
287C2×C4×C47—21no—
288C2×C4×C47—21no—
289C2×C4×C47—21no—
290C2×C4×C47—21no—
291C2×C4×C47—21no—
292C2×C4×C47—22no—
293C2×C4×C47—21no—
294C2×C4×C47—21no—
295C2×C4×C47—21no—
296C2×C4×C47—21no—
297C2×C4×C47—22no—
298C2×C4×C47—41no—
299C2×C4×C47—42no—
300C2×C4×C47—44no—
301C2×C4×C47—42no—
302C2×C4×C47—41no—
303C2×C4×C47—41no—
304C2×C4×C47—41no—
305C2×C4×C47—41no—
306C2×C4×C47#12011yescharacteristic
307C2×C4×C47#12011yescharacteristic
308C2×C4×C47#12011yescharacteristic
309C2×C4×C47C22×D411yescharacteristic
310C2×C4×C47C22×D411yescharacteristic
311C2×C4×C47C22×D411yescharacteristic
312C8×C47—41no—
313C8×C47—41no—
314C8×C47—41no—
315C8×C47—41no—
316C8×C47—41no—
317C8×C47—41no—
318#18825C4711yesmaximal, characteristic, direct product factor, Sylow
319C22×C47—21no—
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—41no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47C2×#12011yescharacteristic
326C4×C47—21no—
327C4×C47—22no—
328C4×C47—21no—
329C4×C47—21no—
330C4×C47—21no—
331C4×C47—41no—
332C4×C47—42no—
333C4×C47—41no—
334C4×C47—41no—
335C4×C47—42no—
336C4×C47—41no—
337C4×C47—41no—
338C4×C47—41no—
339C4×C47—81no—
340C4×C47—81no—
341C4×C47C2×#13711yescharacteristic
342C4×C47#57511yescharacteristic
343C4×C47#57711yescharacteristic
344C4×C47#57811yescharacteristic
345#3523C2×C4711yescharacteristic
346#3252C2×C4711yescharacteristic
347#3231C2×C4711yescharacteristic, complemented
348#3078C2×C4711yescharacteristic, complemented
349#1653C2×C4711yescharacteristic, complemented
350#1651C2×C4711yescharacteristic, complemented
351#1650C2×C4711yescharacteristic, complemented
352#1648C2×C4711yescharacteristic, complemented
353#1638C2×C4711yescharacteristic, complemented
354#1637C2×C4711yescharacteristic, complemented
355#1636C2×C4711yescharacteristic, complemented
356#1636C2×C4711yescharacteristic, complemented
357#1561C2×C4711yescharacteristic, complemented
358#1495C2×C4711yescharacteristic
359#1487C2×C4711yescharacteristic, complemented
360C2×C47—41no—
361C2×C47—81no—
362C2×C47#300711yescharacteristic
363C2×C47#301311yescharacteristic
364C2×C47#302011yescharacteristic
365#557—21no—
366#557C22×C4711yescharacteristic
367#557C22×C4711yescharacteristic
368#556—21no—
369#556C22×C4711yescharacteristic
370#552—22no—
371#552—21no—
372D4×Q8—21no—
373D4×Q8C22×C4711yescharacteristic
374#541—22no—
375#541—21no—
376#533—21no—
377#533C22×C4711yescharacteristic
378#533C22×C4711yescharacteristic
379#529—21no—
380#529C22×C4711yescharacteristic
381#519—21no—
382C2×C4×Q8C22×C4711yescharacteristic
383#500C22×C4711yescharacteristic
384#498C22×C4711yescharacteristic
385#487C22×C4711yescharacteristic
386#487C22×C4711yescharacteristic
387#485—22no—
388#479—22no—
389#479—21no—
390#479—21no—
391#479—21no—
392#477C22×C4711yescharacteristic
393#477C22×C4711yescharacteristic
394#477C22×C4711yescharacteristic
395#476C22×C4711yescharacteristic
396#475C22×C4711yescharacteristic
397#475C22×C4711yescharacteristic
398#470—21no—
399#468—21no—
400#464—21no—
401#462C22×C4711yescharacteristic
402#461C22×C4711yescharacteristic
403#431C22×C4711yescharacteristic
404#428—21no—
405#423C22×C4711yescharacteristic
406#423C22×C4711yescharacteristic
407#419—21no—
408#332C22×C4711yescharacteristic
409#332C22×C4711yescharacteristic
410#332C22×C4711yescharacteristic
411#332C22×C4711yescharacteristic
412Q8⋊C8C22×C4711yescharacteristic
413Q8⋊C8C22×C4711yescharacteristic
414Q8⋊C8C22×C4711yescharacteristic
415Q8⋊C8C22×C4711yescharacteristic
416Q8⋊C8C22×C4711yescharacteristic
417Q8⋊C8C22×C4711yescharacteristic
418D4⋊C8C22×C4711yescharacteristic
419D4⋊C8C22×C4711yescharacteristic
420C47#1882511yescharacteristic, direct product factor, Sylow
421C22×Q8—21no—
422C22×Q8D4×C4711yescharacteristic
423C2×Q16—21no—
424C2×SD16—21no—
425C2×M16—21no—
426C2×M16—21no—
427C4⋊Q8—22no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8—21no—
431C4⋊Q8C23×C4711yescharacteristic
432C4⋊Q8C23×C4711yescharacteristic
433C4⋊Q8C23×C4711yescharacteristic
434C4⋊Q8C23×C4711yescharacteristic
435#126—22no—
436#126—22no—
437#126—22no—
438#126—22no—
439#126—21no—
440#125—22no—
441#125—22no—
442#125—22no—
443#125—21no—
444#125—22no—
445#125—22no—
446#125—21no—
447#125—21no—
448#125D4×C4711yescharacteristic
449#125D4×C4712yes—
450#124—21no—
451#124D4×C4711yescharacteristic
452#123—22no—
453#123—21no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—21no—
457C22⋊Q8—21no—
458C22⋊Q8—21no—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8D4×C4711yescharacteristic
464#121D4×C4711yescharacteristic
465C4×Q8—22no—
466C4×Q8—22no—
467C4×Q8—21no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8D4×C4711yescharacteristic
479C4×Q8D4×C4711yescharacteristic
480C4×Q8C23×C4711yescharacteristic
481C4×Q8C23×C4711yescharacteristic
482C4×Q8C23×C4711yescharacteristic
483C4×D4—22no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4C23×C4711yescharacteristic
487#117—22no—
488#117—22no—
489#117—22no—
490#117—21no—
491#117—21no—
492#117—21no—
493#117D4×C4712yes—
494C2×C4⋊C4—21no—
495C2×C4⋊C4D4×C4711yescharacteristic
496C2×C42—21no—
497C2×C42C23×C4711yescharacteristic
498#107—21no—
499#107—21no—
500#107—21no—
501#107—22no—
502#106—21no—
503#106—21no—
504#106—21no—
505#106—22no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—21no—
509C4⋊C8C23×C4711yescharacteristic
510C4⋊C8C23×C4711yescharacteristic
511C4⋊C8C23×C4711yescharacteristic
512C4⋊C8C23×C4711yescharacteristic
513#103—21no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—21no—
518#103—21no—
519#103—21no—
520#103—22no—
521#103—22no—
522#102—21no—
523C22⋊C8—21no—
524C4×C8C23×C4711yescharacteristic
525C4×C8C23×C4711yescharacteristic
526C2×Q8—22no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—41no—
534C2×Q8—42no—
535C2×Q8—42no—
536C2×Q8C2×D4×C4711yescharacteristic
537C2×Q8C2×D4×C4711yescharacteristic
538C2×Q8C2×D4×C4711yescharacteristic
539C2×D4—21no—
540C2×D4C2×D4×C4711yescharacteristic
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4C2×D4×C4711yescharacteristic
546C22×C4C2×D4×C4711yescharacteristic
547C22×C4C2×D4×C4711yescharacteristic
548Q16—81no—
549SD16—81no—
550M16—42no—
551M16—81no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—22no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—22no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—41no—
584C4⋊C4—41no—
585C4⋊C4C2×D4×C4712yes—
586C4⋊C4C2×D4×C4711yescharacteristic
587C4⋊C4C2×D4×C4712yes—
588C4⋊C4C2×D4×C4711yescharacteristic
589C4⋊C4C2×D4×C4711yescharacteristic
590C4⋊C4C2×D4×C4711yescharacteristic
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—41no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—22no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—41no—
611C42C2×D4×C4711yescharacteristic
612C42C2×D4×C4711yescharacteristic
613C42C2×D4×C4711yescharacteristic
614C42C24×C4711yescharacteristic
615C23—21no—
616C23#120×C4711yescharacteristic
617Q8—21no—
618Q8—21no—
619Q8—21no—
620Q8—21no—
621Q8—21no—
622Q8—42no—
623Q8—44no—
624Q8—42no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—41no—
631Q8#137×C4712yes—
632D4—21no—
633D4—21no—
634D4—42no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4#120×C4711yescharacteristic
657C2×C4#120×C4711yescharacteristic
658C2×C4#120×C4711yescharacteristic
659C2×C4C22×D4×C4711yescharacteristic
660C2×C4C22×D4×C4711yescharacteristic
661C2×C4C22×D4×C4711yescharacteristic
662C8—41no—
663C8—41no—
664C8—41no—
665C8—41no—
666C8—41no—
667C8—41no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22C2×#120×C4711yescharacteristic
675C4—21no—
676C4—22no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—41no—
684C4—42no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—81no—
689C4—81no—
690C4C2×#137×C4711yescharacteristic
691C4C47×#57511yescharacteristic
692C4C47×#57711yescharacteristic
693C4C47×#57811yescharacteristic
694C2—41no—
695C2—81no—
696C2C47×#300711yescharacteristic
697C2C47×#301311yescharacteristic
698C2C47×#302011yescharacteristic
subgroupG/H
center, socleC22×C47C2×#120
commutator, Frattini, cosocleC42C24×C47
prime radical#121×C47D4
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C2×C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
3. C47×#3231C2semidirect
4. C47×#3078C2semidirect
5. C47×#1653C2semidirect
6. C47×#1651C2semidirect
7. C47×#1650C2semidirect
8. C47×#1648C2semidirect
9. C47×#1638C2semidirect
10. C47×#1637C2semidirect
11. C47×#1636C2semidirect
12. C47×#1636C2semidirect
13. C47×#1561C2semidirect
15. C47×#1487C2semidirect
318. #18825C47direct (N × H)
347. #3231C2×C47semidirect
348. #3078C2×C47semidirect
349. #1653C2×C47semidirect
350. #1651C2×C47semidirect
351. #1650C2×C47semidirect
352. #1648C2×C47semidirect
353. #1638C2×C47semidirect
354. #1637C2×C47semidirect
355. #1636C2×C47semidirect
356. #1636C2×C47semidirect
357. #1561C2×C47semidirect
359. #1487C2×C47semidirect
420. C47#18825direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35232
C47×#32522
C47×#32312
C47×#30782
C47×#16532
C47×#16512
C47×#16502
C47×#16482
C47×#16382
C47×#16372
C47×#16362
C47×#15612
C47×#14952
C47×#14872
#1882547