Finite Group Databasebeta

← #26223678

Subgroups — #26223678

Order 12032.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20252092C211yesmaximal, characteristic
2#20251807C211yesmaximal, characteristic, complemented
3#20244038C211yesmaximal, characteristic, complemented
4#20244038C211yesmaximal, characteristic, complemented
5#20243989C211yesmaximal, characteristic, complemented
6#20243989C211yesmaximal, characteristic, complemented
7#20243691C211yesmaximal, characteristic
8#20243595C211yesmaximal, characteristic, complemented
9#20243487C211yesmaximal, characteristic, complemented
10#20243274C211yesmaximal, characteristic, complemented
11#20243269C211yesmaximal, characteristic, complemented
12#20243235C211yesmaximal, characteristic, complemented
13#20243228C211yesmaximal, characteristic, complemented
14#20243174C211yesmaximal, characteristic, complemented
15C47×#3091C211yesmaximal, characteristic
16C2×#13094031C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18C22×#10625329C2211yescharacteristic
19#15689201—21no—
20#15689201—21no—
21#15689195—21no—
22#15689195—21no—
23C2×#13093960C2211yescharacteristic
24C2×#13093960C2211yescharacteristic
25#15689150C2211yescharacteristic
26C2×#13093951C2211yescharacteristic
27C2×#13093951C2211yescharacteristic
28#15689090C2211yescharacteristic
29#15689087C2211yescharacteristic
30#15689079—21no—
31#15689079—21no—
32#15689079C2211yescharacteristic
33#15689079C2211yescharacteristic
34#15689079C2211yescharacteristic
35#15689079C2211yescharacteristic
36#15689079C2211yescharacteristic
37C4×#10625329—21no—
38C4×#10625329—21no—
39C2×#13093934C2211yescharacteristic
40C2×C8×Dic47C2211yescharacteristic
41C4×C22⋊Dic47C2211yescharacteristic
42#15688888C2211yescharacteristic
43#15688888C2211yescharacteristic
44#15688882C2211yescharacteristic
45#15688882C2211yescharacteristic
46#15688882C2211yescharacteristic
47#15688882C2211yescharacteristic
48#15688882C2211yescharacteristic
49#15688882C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52C47×#525C2211yescharacteristic
53C2×#117×C47C2211yescharacteristic
54C47×#485C411yescharacteristic, complemented
55C47×#485C411yescharacteristic, complemented
56C47×#484C411yescharacteristic, complemented
57C47×#483C411yescharacteristic, complemented
58C47×#482C411yescharacteristic, complemented
59C47×#482C411yescharacteristic, complemented
60C47×#481C411yescharacteristic, complemented
61C47×#480C411yescharacteristic, complemented
62C47×#427C2211yescharacteristic
63C47×#427C2211yescharacteristic
64C47×#416C2211yescharacteristic
65C47×#416C2211yescharacteristic
66C2×C22⋊C8×C47C2211yescharacteristic
67#13094031—22no—
68#13094031—22no—
69C2×#10625329—21no—
70C2×#10625329—22no—
71C2×#10625329—22no—
72C2×#10625329—21no—
73C2×#10625329—22no—
74C2×#10625329—22no—
75C2×#10625329D411yescharacteristic
76C2×#10625329D411yescharacteristic
77C2×#10625329D411yescharacteristic
78C2×#10625329D411yescharacteristic
79C2×#10625329C2311yescharacteristic
80C2×#10625329C2311yescharacteristic
81C2×#10625329C2311yescharacteristic
82C2×#10625329C2311yescharacteristic
83C22×C47⋊C8—21no—
84C22×C47⋊C8—21no—
85C22×C47⋊C8C2311yescharacteristic
86C22×C47⋊C8C2311yescharacteristic
87C2×C22⋊Dic47—21no—
88C2×C4×Dic47C2311yescharacteristic
89C2×C4×Dic47C2311yescharacteristic
90#13093960—22no—
91#13093960—22no—
92C4⋊(C47⋊C8)—21no—
93C4⋊(C47⋊C8)—21no—
94#13093951—22no—
95#13093951—22no—
96C22⋊(C47⋊C8)—21no—
97C22⋊(C47⋊C8)—21no—
98C22⋊(C47⋊C8)—21no—
99C22⋊(C47⋊C8)—21no—
100#13093935—21no—
101#13093935—21no—
102#13093935—21no—
103#13093935—21no—
104#13093935—21no—
105#13093934—22no—
106C4×C47⋊C8—21no—
107C4×C47⋊C8—21no—
108C4×C47⋊C8—21no—
109C4×C47⋊C8—21no—
110C4×C47⋊C8—21no—
111C8×Dic47—22no—
112C47⋊#95—21no—
113C2×#41×C47C2311yescharacteristic
114C23×C4×C47C2311yescharacteristic
115C22×C8×C47C2311yescharacteristic
116C22×C8×C47C2311yescharacteristic
117#123×C47—21no—
118C22⋊Q8×C47C2×C411yescharacteristic
119C22⋊Q8×C47C2×C411yescharacteristic
120#121×C47C2×C411yescharacteristic
121#121×C47C2×C411yescharacteristic
122#120×C47—21no—
123C4×D4×C47—21no—
124C4×D4×C47—21no—
125#117×C47—21no—
126#117×C47—21no—
127#117×C47C2×C411yescharacteristic
128#117×C47C2×C411yescharacteristic
129#117×C47C2311yescharacteristic
130#117×C47C2311yescharacteristic
131#117×C47C2311yescharacteristic
132C2×C4⋊C4×C47C2×C411yescharacteristic
133C2×C4⋊C4×C47C2×C411yescharacteristic
134C2×C22⋊C4×C47—21no—
135C2×C42×C47—21no—
136#107×C47C2×C411yescharacteristic
137#107×C47C2×C411yescharacteristic
138#107×C47C2×C411yescharacteristic
139#107×C47C2×C411yescharacteristic
140#106×C47C2×C411yescharacteristic
141#106×C47C2×C411yescharacteristic
142#106×C47C2×C411yescharacteristic
143#106×C47C2×C411yescharacteristic
144#103×C47C2×C411yescharacteristic
145#103×C47C2×C411yescharacteristic
146#103×C47C2×C411yescharacteristic
147#103×C47C2×C411yescharacteristic
148#102×C47C2×C411yescharacteristic
149#102×C47C2×C411yescharacteristic
150#102×C47C2×C411yescharacteristic
151#102×C47C2×C411yescharacteristic
152C22⋊C8×C47C2×C411yescharacteristic
153C22⋊C8×C47C2×C411yescharacteristic
154C22⋊C8×C47C2×C411yescharacteristic
155C22⋊C8×C47C2×C411yescharacteristic
156C24×C47#4111yescharacteristic
157#41×C47—21no—
158#41×C47—21no—
159#41×C47—21no—
160#41×C47—21no—
161C2×Q8×C47C22×C411yescharacteristic
162C2×D4×C47—21no—
163C2×D4×C47—21no—
164C2×D4×C47—21no—
165C2×D4×C47C22×C411yescharacteristic
166C22×C4×C47—21no—
167C22×C4×C47—21no—
168C22×C4×C47—21no—
169C22×C4×C47—21no—
170C22×C4×C47—21no—
171C22×C4×C47—21no—
172C22×C4×C47—21no—
173C22×C4×C47C22×C411yescharacteristic
174C22×C4×C47C22×C411yescharacteristic
175C22×C4×C47C2×D411yescharacteristic
176C22×C4×C47C2×D411yescharacteristic
177C22×C4×C47#4111yescharacteristic
178C22×C4×C47C2411yescharacteristic
179C22×Dic47—21no—
180C22×Dic47—21no—
181C2×C8×C47—21no—
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47—21no—
185C2×C8×C47C22×C411yescharacteristic
186C2×C8×C47C22×C411yescharacteristic
187C2×C8×C47C22×C411yescharacteristic
188C2×C8×C47C22×C411yescharacteristic
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47C22×C411yescharacteristic
194C4⋊C4×C47C22×C411yescharacteristic
195C4⋊C4×C47C22×C411yescharacteristic
196C4⋊C4×C47C22×C411yescharacteristic
197C4⋊C4×C47C22×C411yescharacteristic
198C4⋊C4×C47C22×C411yescharacteristic
199C22⋊C4×C47—21no—
200C22⋊C4×C47—21no—
201C22⋊C4×C47—21no—
202C22⋊C4×C47—21no—
203C22⋊C4×C47—21no—
204C22⋊C4×C47—21no—
205C22⋊C4×C47—21no—
206C22⋊C4×C47—21no—
207C22⋊C4×C47—21no—
208C42×C47—21no—
209C42×C47—21no—
210C42×C47—21no—
211C42×C47—21no—
212C42×C47—21no—
213C22⋊Dic47—42no—
214C4×Dic47—21no—
215C4×Dic47—21no—
216C4×Dic47—21no—
217C4×Dic47—21no—
218#10625329—24no—
219#10625329—21no—
220#10625329—21no—
221#10625329—22no—
222#10625329—22no—
223#10625329—22no—
224#10625329—22no—
225#10625329—21no—
226#10625329—21no—
227#10625329—21no—
228#10625329—21no—
229#10625329—42no—
230#10625329#4112yes—
231#10625329#4112yes—
232C2×C47⋊C8—24no—
233C2×C47⋊C8—21no—
234C2×C47⋊C8—21no—
235C2×C47⋊C8—21no—
236C2×C47⋊C8—21no—
237C2×C47⋊C8—21no—
238C2×C47⋊C8—21no—
239C2×C47⋊C8—42no—
240C2×C47⋊C8C2×D411yescharacteristic
241C2×C47⋊C8C2×D411yescharacteristic
242C2×C47⋊C8C2×D411yescharacteristic
243C2×C47⋊C8C2×D411yescharacteristic
244C2×C47⋊C8#4112yes—
245C2×C47⋊C8#4112yes—
246C23×C47—21no—
247C23×C47—21no—
248C23×C47—21no—
249C23×C47—41no—
250C23×C47—41no—
251C23×C47C4×D411yescharacteristic
252C23×C47C4×D411yescharacteristic
253C23×C47C2×#4111yescharacteristic
254Q8×C47—21no—
255Q8×C47—21no—
256D4×C47—21no—
257D4×C47—21no—
258D4×C47—41no—
259D4×C47—41no—
260D4×C47—81no—
261D4×C47—81no—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—21no—
268C2×C4×C47—21no—
269C2×C4×C47—21no—
270C2×C4×C47—21no—
271C2×C4×C47—21no—
272C2×C4×C47—21no—
273C2×C4×C47—21no—
274C2×C4×C47—21no—
275C2×C4×C47—21no—
276C2×C4×C47—21no—
277C2×C4×C47—21no—
278C2×C4×C47—21no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—81no—
282C2×C4×C47—81no—
283C2×C4×C47C4×D411yescharacteristic
284C2×C4×C47C4×D411yescharacteristic
285C2×C4×C47C23×C411yescharacteristic
286C2×C4×C47C22×D411yescharacteristic
287C2×C4×C47C2×#4111yescharacteristic
288C2×C4×C47C2×#4111yescharacteristic
289C2×C4×C47C2×#4111yescharacteristic
290C2×C4×C47C2×#4111yescharacteristic
291C2×Dic47—22no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C8×C47—21no—
298C8×C47—21no—
299C8×C47—21no—
300C8×C47—21no—
301C47⋊C8—21no—
302C47⋊C8—21no—
303C47⋊C8—22no—
304C47⋊C8—22no—
305C47⋊C8—41no—
306C47⋊C8—41no—
307C47⋊C8#12312yes—
308C47⋊C8#12312yes—
309#21594—471nomaximal, Sylow
310C22×C47—21no—
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—21no—
314C22×C47—21no—
315C22×C47—21no—
316C22×C47—21no—
317C22×C47—21no—
318C22×C47—41no—
319C22×C47—41no—
320C22×C47—41no—
321C22×C47—81no—
322C22×C47—81no—
323C22×C47C2×C4×D411yescharacteristic
324C22×C47#52911yescharacteristic
325C22×C47#52911yescharacteristic
326C4×C47—21no—
327C4×C47—21no—
328C4×C47—41no—
329C4×C47—41no—
330C4×C47—41no—
331C4×C47—41no—
332C4×C47—41no—
333C4×C47—41no—
334C4×C47—41no—
335C4×C47C4×#4111yescharacteristic
336C4×C47C4×#4111yescharacteristic
337C4×C47C2×#12311yescharacteristic
338C4×C47#52511yescharacteristic
339Dic47—42no—
340Dic47—81no—
341#3091D4711yescharacteristic
342#2930—471no—
343#2873—471no—
344#1929—471no—
345#1929—471no—
346#1922—471no—
347#1922—471no—
348#1871—471no—
349#1855—471no—
350#1826—471no—
351#1773—471no—
352#1772—471no—
353#1765—471no—
354#1764—471no—
355#1753—471no—
356C2×C47—21no—
357C2×C47—21no—
358C2×C47—41no—
359C2×C47—41no—
360C2×C47—81no—
361C2×C47C4×#12311yescharacteristic
362C2×C47#295611yescharacteristic
363C2×C47#295711yescharacteristic
364C2×#131—471no—
365C22×M16—471no—
366C22×M16—471no—
367#525C2×D4711yescharacteristic
368C2×#117C2×D4711yescharacteristic
369#485Dic4711yescharacteristic, complemented
370#485Dic4711yescharacteristic, complemented
371#484Dic4711yescharacteristic, complemented
372#483Dic4711yescharacteristic, complemented
373#482Dic4711yescharacteristic, complemented
374#482Dic4711yescharacteristic, complemented
375#481Dic4711yescharacteristic, complemented
376#480Dic4711yescharacteristic, complemented
377#436—941no—
378#436—941no—
379#435—941no—
380#435—941no—
381C2×#108—471no—
382C2×#108—471no—
383#427C2×D4711yescharacteristic
384#427C2×D4711yescharacteristic
385#424—471no—
386C2×#104—471no—
387C2×#104—471no—
388#416C2×D4711yescharacteristic
389#416C2×D4711yescharacteristic
390#408—471no—
391#407—471no—
392C2×C22⋊C8C2×D4711yescharacteristic
393#405—471no—
394#405—471no—
395#405—471no—
396#405—471no—
397#405—471no—
398#405—941no—
399#405—941no—
400C4×M16—941no—
401C4×M16—941no—
402C2×#97—471no—
403C2×C4×C8—471no—
404C4×C22⋊C4—471no—
405#341—471no—
406#341—471no—
407#339—471no—
408#339—471no—
409#339—471no—
410#339—471no—
411#339—471no—
412#339—471no—
413#336—471no—
414#336—471no—
415C47#2159411yescharacteristic, complemented, Sylow
416C2×#41C22×D4711yescharacteristic
417C23×C4C22×D4711yescharacteristic
418#131—942no—
419#131—942no—
420C2×M16—471no—
421C2×M16—471no—
422C2×M16—471no—
423C2×M16—471no—
424C2×M16—471no—
425C2×M16—471no—
426C2×M16—471no—
427C2×M16—471no—
428C2×M16—942no—
429C2×M16—942no—
430C2×M16—941no—
431C2×M16—942no—
432C2×M16—942no—
433C2×M16—941no—
434C22×C8—471no—
435C22×C8—471no—
436C22×C8—941no—
437C22×C8—941no—
438C22×C8C22×D4711yescharacteristic
439C22×C8C22×D4711yescharacteristic
440#123—21no—
441C22⋊Q8C2×Dic4711yescharacteristic
442C22⋊Q8C2×Dic4711yescharacteristic
443#121C2×Dic4711yescharacteristic
444#121C2×Dic4711yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—21no—
449#117—21no—
450#117C2×Dic4711yescharacteristic
451#117C2×Dic4711yescharacteristic
452#117C22×D4711yescharacteristic
453#117C22×D4711yescharacteristic
454#117C22×D4711yescharacteristic
455C2×C4⋊C4C2×Dic4711yescharacteristic
456C2×C4⋊C4C2×Dic4711yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—941no—
459C2×C42—21no—
460C2×C42—471no—
461C2×C42—471no—
462#108—942no—
463#108—942no—
464#107C2×Dic4711yescharacteristic
465#107C2×Dic4711yescharacteristic
466#107C2×Dic4711yescharacteristic
467#107C2×Dic4711yescharacteristic
468#106C2×Dic4711yescharacteristic
469#106C2×Dic4711yescharacteristic
470#106C2×Dic4711yescharacteristic
471#106C2×Dic4711yescharacteristic
472C4⋊C8—941no—
473C4⋊C8—941no—
474#104—942no—
475#104—942no—
476#103C2×Dic4711yescharacteristic
477#103C2×Dic4711yescharacteristic
478#103C2×Dic4711yescharacteristic
479#103C2×Dic4711yescharacteristic
480#102C2×Dic4711yescharacteristic
481#102C2×Dic4711yescharacteristic
482#102C2×Dic4711yescharacteristic
483#102C2×Dic4711yescharacteristic
484C22⋊C8—941no—
485C22⋊C8—941no—
486C22⋊C8—941no—
487C22⋊C8—941no—
488C22⋊C8C2×Dic4711yescharacteristic
489C22⋊C8C2×Dic4711yescharacteristic
490C22⋊C8C2×Dic4711yescharacteristic
491C22⋊C8C2×Dic4711yescharacteristic
492#97—941no—
493#97—941no—
494#97—941no—
495#97—941no—
496#97—941no—
497#97—942no—
498C4×C8—941no—
499C4×C8—941no—
500C4×C8—941no—
501C4×C8—941no—
502C4×C8—941no—
503C4×C8—942no—
504#95—941no—
505C24#1062535211yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C22×Dic4711yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C22×Dic4711yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4D4×D4711yescharacteristic
525C22×C4D4×D4711yescharacteristic
526C22×C4#1062535211yescharacteristic
527C22×C4C22×Dic4711yescharacteristic
528C22×C4C22×Dic4711yescharacteristic
529C22×C4C23×D4711yescharacteristic
530M16—472no—
531M16—472no—
532M16—942no—
533M16—942no—
534M16—942no—
535M16—942no—
536M16—944no—
537M16—941no—
538M16—941no—
539M16—941no—
540M16—941no—
541M16—941no—
542M16—941no—
543M16—1882no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—471no—
549C2×C8—471no—
550C2×C8—472no—
551C2×C8—472no—
552C2×C8—471no—
553C2×C8—471no—
554C2×C8—944no—
555C2×C8—941no—
556C2×C8—941no—
557C2×C8—941no—
558C2×C8—941no—
559C2×C8—941no—
560C2×C8—941no—
561C2×C8—1882no—
562C2×C8C22×Dic4711yescharacteristic
563C2×C8C22×Dic4711yescharacteristic
564C2×C8C22×Dic4711yescharacteristic
565C2×C8C22×Dic4711yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C22×Dic4711yescharacteristic
571C4⋊C4C22×Dic4711yescharacteristic
572C4⋊C4C22×Dic4711yescharacteristic
573C4⋊C4C22×Dic4711yescharacteristic
574C4⋊C4C22×Dic4711yescharacteristic
575C4⋊C4C22×Dic4711yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—1882no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—941no—
592C42—941no—
593C42—941no—
594C42—941no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23D4×Dic4711yescharacteristic
601C23D4×Dic4711yescharacteristic
602C23C2×#1062535211yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—942no—
633C2×C4—1881no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4D4×Dic4711yescharacteristic
639C2×C4D4×Dic4711yescharacteristic
640C2×C4C23×Dic4711yescharacteristic
641C2×C4C2×D4×D4711yescharacteristic
642C2×C4#41×D4711yescharacteristic
643C2×C4#41×D4711yescharacteristic
644C2×C4#41×D4711yescharacteristic
645C2×C4#41×D4711yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—472no—
651C8—472no—
652C8—941no—
653C8—941no—
654C8—942no—
655C8—942no—
656C8—1881no—
657C8—1881no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×D4×Dic4711yescharacteristic
672C22#1568965011yescharacteristic
673C22#1568965011yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—3761no—
684C4—1882no—
685C4#41×Dic4711yescharacteristic
686C4#41×Dic4711yescharacteristic
687C4#123×D4711yescharacteristic
688C4#1568963111yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#123×Dic4711yescharacteristic
695C2#2025229811yescharacteristic
696C2#2025230511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#3091C2
socleC22×C47C2×C4×D4
prime radicalC47×#525C22
cosocleC22×C4×C47C24
hypercenter#3091D47
hypocenterC47#21594
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #20251807C2semidirect
3. #20244038C2semidirect
4. #20244038C2semidirect
5. #20243989C2semidirect
6. #20243989C2semidirect
8. #20243595C2semidirect
9. #20243487C2semidirect
10. #20243274C2semidirect
11. #20243269C2semidirect
12. #20243235C2semidirect
13. #20243228C2semidirect
14. #20243174C2semidirect
54. C47×#485C4semidirect
55. C47×#485C4semidirect
56. C47×#484C4semidirect
57. C47×#483C4semidirect
58. C47×#482C4semidirect
59. C47×#482C4semidirect
60. C47×#481C4semidirect
61. C47×#480C4semidirect
369. #485Dic47semidirect
370. #485Dic47semidirect
371. #484Dic47semidirect
372. #483Dic47semidirect
373. #482Dic47semidirect
374. #482Dic47semidirect
375. #481Dic47semidirect
376. #480Dic47semidirect
415. C47#21594semidirect

Maximal subgroups

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

subgroupindex
#202520922
#202518072
#202440382
#202439892
#202436912
#202435952
#202434872
#202432742
#202432692
#202432352
#202432282
#202431742
C47×#30912
#2159447