Finite Group Databasebeta

← #26217455

Subgroups — #26217455

Order 12032.

1914 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic, complemented
2C2×#15689630C211yesmaximal, characteristic
3C2×#15689140C211yesmaximal, characteristic, complemented
4#20245767C211yesmaximal, characteristic, complemented
5#20243687C218yesmaximal, complemented
6#20243099C211yesmaximal, characteristic, complemented
7#20243098C211yesmaximal, characteristic, complemented
8C2×C47×#421C211yesmaximal, characteristic, complemented
9C23×C4×D47C2211yescharacteristic
10C22×#10625329C2211yescharacteristic
11C22×#10625324—21no—
12C2×M16×D47—22no—
13C2×M16×D47—24no—
14C2×M16×D47—24no—
15C2×M16×D47C2214yescomplemented
16C22×C8×D47—21no—
17#15689630—22no—
18#15689630—21no—
19#15689630—21no—
20#15689630C412yescomplemented
21#15689630C412yescomplemented
22#15689630C2214yes—
23C2×#13094005—21no—
24C2×#13094000C412yescomplemented
25C2×#13093995C412yescomplemented
26C2×#13093992—21no—
27C2×C4×C22⋊D47—22no—
28C2×#13093983C2211yescharacteristic
29C2×#13093983C2211yescharacteristic
30#15689140—24no—
31C2×#13093951C2214yescomplemented
32#15688984—21no—
33#15688980—22no—
34#15688978—21no—
35C4×(C2×D47)⋊C4C2214yescomplemented
36#15688884C2214yescomplemented
37#15688883C2214yescomplemented
38C22×#41×C47C2211yescharacteristic
39C22×M16×C47C2211yescharacteristic
40C2×#117×C47C2211yescharacteristic
41C47×#421—24no—
42C2×#104×C47C2214yescomplemented
43C24×D47D411yescharacteristic
44C22×C22⋊D47—22no—
45C23×Dic47D411yescharacteristic
46C22×C4×D47—22no—
47C22×C4×D47—22no—
48C22×C4×D47—22no—
49C22×C4×D47—22no—
50C22×C4×D47C2×C412yes—
51C22×C4×D47C2×C411yescharacteristic
52C22×C4×D47C2×C411yescharacteristic
53C22×C4×D47D412yes—
54C22×C4×D47D412yes—
55C22×C4×D47D411yescharacteristic
56C22×C4×D47D411yescharacteristic
57C22×C4×D47C2312yes—
58C2×#10625329—22no—
59C2×#10625329—21no—
60C2×#10625329D414yescomplemented
61C2×#10625329C2312yes—
62C2×#10625324—28no—
63C2×#10625324—24no—
64M16×D47—216no—
65M16×D47—28no—
66M16×D47—28no—
67C22×C47⋊C8—21no—
68C2×C8×D47—28no—
69C2×C8×D47—24no—
70#13094005—22no—
71#13094005—22no—
72#13094005—24no—
73#13094000—22no—
74#13094000—22no—
75#13094000C2×C414yes—
76#13094000C2×C414yes—
77#13093995—22no—
78#13093995—22no—
79#13093995C2×C414yes—
80#13093995C2×C414yes—
81#13093992—22no—
82#13093992—22no—
83#13093992—24no—
84C4×C22⋊D47—24no—
85C4×C22⋊D47—24no—
86C4×C22⋊D47—24no—
87C4×C22⋊D47—24no—
88#13093983—21no—
89#13093983—21no—
90#13093983—22no—
91#13093983—22no—
92#13093983C2×C412yes—
93#13093983C2312yes—
94C2×C4⋊Dic47—21no—
95C2×C4⋊Dic47C2×C412yes—
96C2×Dic47⋊C4—22no—
97C2×C22⋊Dic47—21no—
98C2×C22⋊Dic47—22no—
99C2×C22⋊Dic47—21no—
100C2×(C2×D47)⋊C4—22no—
101C2×(C2×D47)⋊C4—24no—
102C2×C4×Dic47—21no—
103C2×C4×Dic47C2312yes—
104#13093951—28no—
105C47⋊#95—24no—
106C2×#41×C47—21no—
107C2×#41×C47—21no—
108C2×#41×C47—22no—
109C2×#41×C47—22no—
110C2×#41×C47—22no—
111C2×#41×C47—22no—
112C2×#41×C47C2×C412yes—
113C2×#41×C47C2312yes—
114C22×Q8×C47C2×C411yescharacteristic
115C22×D4×C47—21no—
116C22×D4×C47C2×C411yescharacteristic
117C23×C4×C47—21no—
118C23×C4×C47C2311yescharacteristic
119C2×M16×C47—22no—
120C2×M16×C47—21no—
121C2×M16×C47D414yescomplemented
122C2×M16×C47C2312yes—
123C22×C8×C47—21no—
124#117×C47—22no—
125#117×C47—22no—
126C2×C4⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C42×C47C2312yes—
129#104×C47—28no—
130C24×C47—21no—
131C24×C47C2×D411yescharacteristic
132C23×D47—22no—
133C23×D47—22no—
134C23×D47—44no—
135C23×D47C22⋊C411yescharacteristic
136C23×D47C22⋊C412yes—
137C23×D47C22⋊C411yescharacteristic
138C23×D47C2×D412yes—
139#41×C47—24no—
140#41×C47—24no—
141#41×C47—22no—
142#41×C47—22no—
143#41×C47—22no—
144#41×C47—22no—
145#41×C47—42no—
146#41×C47—42no—
147#41×C47—42no—
148#41×C47—42no—
149C2×Q8×C47—21no—
150C2×Q8×C47—22no—
151C2×Q8×C47—22no—
152C2×Q8×C47C22×C412yes—
153C2×D4×C47—22no—
154C2×D4×C47—22no—
155C2×D4×C47—21no—
156C2×D4×C47—22no—
157C2×D4×C47—22no—
158C2×D4×C47—42no—
159C2×D4×C47—42no—
160C2×D4×C47C22×C412yes—
161C22×C4×C47—21no—
162C22×C4×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47—22no—
165C22×C4×C47—42no—
166C22×C4×C47—42no—
167C22×C4×C47C22×C411yescharacteristic
168C22×C4×C47C22×C411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D411yescharacteristic
172C22×C4×C47C2×D412yes—
173C22×C4×C47C2×D412yes—
174C22×C4×C47#4112yes—
175C22×C4×C47#4112yes—
176C22×C4×C47C2411yescharacteristic
177C2×C22⋊D47—24no—
178C2×C22⋊D47—24no—
179C2×C22⋊D47—48no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47C22⋊C412yes—
185C22×Dic47C22⋊C411yescharacteristic
186C22×Dic47C22⋊C411yescharacteristic
187C22×Dic47C2×D412yes—
188C2×C4×D47—24no—
189C2×C4×D47—22no—
190C2×C4×D47—22no—
191C2×C4×D47—24no—
192C2×C4×D47—22no—
193C2×C4×D47—22no—
194C2×C4×D47—22no—
195C2×C4×D47—24no—
196C2×C4×D47—22no—
197C2×C4×D47—24no—
198C2×C4×D47—24no—
199C2×C4×D47—24no—
200C2×C4×D47—22no—
201C2×C4×D47—22no—
202C2×C4×D47—22no—
203C2×C4×D47—22no—
204C2×C4×D47—22no—
205C2×C4×D47—22no—
206C2×C4×D47C22⋊C412yes—
207C2×C4×D47C22⋊C412yes—
208C2×C4×D47C22⋊C412yes—
209C2×C4×D47C22⋊C412yes—
210C2×C4×D47C22×C412yes—
211C2×C4×D47C22×C412yes—
212C2×C4×D47C2×D412yes—
213C2×C4×D47C2×D412yes—
214M16×C47—24no—
215M16×C47—22no—
216M16×C47C2×D414yescomplemented
217C2×C8×C47—24no—
218C2×C8×C47—22no—
219C4⋊C4×C47—42no—
220C22⋊C4×C47—42no—
221C42×C47—22no—
222C42×C47—22no—
223C22⋊Dic47—22no—
224C22⋊Dic47—22no—
225C22⋊Dic47—24no—
226C22⋊Dic47—24no—
227C22⋊Dic47—42no—
228(C2×D47)⋊C4—24no—
229(C2×D47)⋊C4—24no—
230(C2×D47)⋊C4—48no—
231C4⋊Dic47—22no—
232C4⋊Dic47—42no—
233C4⋊Dic47C22×C414yes—
234Dic47⋊C4—24no—
235Dic47⋊C4—24no—
236C4×Dic47—22no—
237C4×Dic47—22no—
238C4×Dic47—22no—
239C4×Dic47—22no—
240#10625329—24no—
241#10625329—22no—
242#10625329C2×D414yescomplemented
243C2×C47⋊C8—24no—
244C2×C47⋊C8—22no—
245#10625324—216no—
246C8×D47—216no—
247C23×C47—22no—
248C23×C47—42no—
249C23×C47—44no—
250C23×C47—42no—
251C23×C47C2×C22⋊C411yescharacteristic
252C23×C47C2×C22⋊C411yescharacteristic
253C23×C47#12112yes—
254C23×C47#12112yes—
255C23×C47C22×D411yescharacteristic
256C22×D47—22no—
257C22×D47—24no—
258C22×D47—22no—
259C22×D47—22no—
260C22×D47—24no—
261C22×D47—22no—
262C22×D47—24no—
263C22×D47—24no—
264C22×D47—42no—
265C22×D47—42no—
266C22×D47—42no—
267C22×D47—48no—
268C22×D47—48no—
269C22×D47C2×C22⋊C412yes—
270C22×D47C2×C22⋊C412yes—
271Q8×C47—22no—
272Q8×C47—22no—
273Q8×C47—42no—
274D4×C47—22no—
275D4×C47—22no—
276D4×C47—42no—
277D4×C47—42no—
278D4×C47—44no—
279D4×C47—42no—
280C2×C4×C47—22no—
281C2×C4×C47—42no—
282C2×C4×C47—42no—
283C2×C4×C47—42no—
284C2×C4×C47—44no—
285C2×C4×C47—44no—
286C2×C4×C47—42no—
287C2×C4×C47C2×C22⋊C411yescharacteristic
288C2×C4×C47C2×C22⋊C411yescharacteristic
289C2×C4×C47C4×D412yes—
290C2×C4×C47C4×D412yes—
291C2×C4×C47C4×D412yes—
292C2×C4×C47C4×D412yes—
293C2×C4×C47#12012yes—
294C2×C4×C47#12012yes—
295C2×C4×C47#12112yes—
296C2×C4×C47#12112yes—
297C2×C4×C47#12312yes—
298C2×C4×C47#12312yes—
299C2×C4×C47C23×C411yescharacteristic
300C2×C4×C47C22×D411yescharacteristic
301C2×C4×C47C22×D411yescharacteristic
302C2×C4×C47C22×D411yescharacteristic
303C2×C4×C47C2×#4111yescharacteristic
304C2×C4×C47C2×#4111yescharacteristic
305C22⋊D47—48no—
306C22⋊D47—48no—
307C2×Dic47—22no—
308C2×Dic47—22no—
309C2×Dic47—24no—
310C2×Dic47—22no—
311C2×Dic47—22no—
312C2×Dic47—24no—
313C2×Dic47—44no—
314C2×Dic47—44no—
315C2×Dic47—42no—
316C2×Dic47C2×C22⋊C412yes—
317C2×Dic47C2×C22⋊C412yes—
318C4×D47—22no—
319C4×D47—22no—
320C4×D47—22no—
321C4×D47—22no—
322C4×D47—22no—
323C4×D47—22no—
324C4×D47—22no—
325C4×D47—22no—
326C4×D47—24no—
327C4×D47—24no—
328C4×D47—24no—
329C4×D47—24no—
330C8×C47—24no—
331C47⋊C8—24no—
332#20902—471nomaximal, Sylow
333C22×C47—22no—
334C22×C47—22no—
335C22×C47—22no—
336C22×C47—42no—
337C22×C47—42no—
338C22×C47—44no—
339C22×C47—42no—
340C22×C47—84no—
341C22×C47#38612yes—
342C22×C47#38612yes—
343C22×C47C22×C22⋊C411yescharacteristic
344C22×C47C2×#12111yescharacteristic
345C22×C47C2×#12111yescharacteristic
346C2×D47—28no—
347C2×D47—22no—
348C2×D47—22no—
349C2×D47—22no—
350C2×D47—22no—
351C2×D47—22no—
352C2×D47—44no—
353C2×D47—44no—
354C2×D47—48no—
355C2×D47—44no—
356C2×D47#42114yescomplemented
357C4×C47—42no—
358C4×C47—82no—
359C4×C47#38612yes—
360C4×C47#38612yes—
361C4×C47C2×C4×D411yescharacteristic
362C4×C47C2×C4×D411yescharacteristic
363C4×C47C2×#12011yescharacteristic
364C4×C47C2×#12311yescharacteristic
365Dic47—22no—
366Dic47—22no—
367Dic47—44no—
368Dic47—82no—
369C23×M16—471no—
370C2×#525—471no—
371C2×#421—471no—
372C2×#421D4711yescharacteristic, complemented
373#2280—471no—
374#1871—478no—
375#1733—471no—
376#1733—471no—
377C2×C47—21no—
378C2×C47—21no—
379C2×C47—22no—
380C2×C47—22no—
381C2×C47—82no—
382C2×C47C2×#38611yescharacteristic
383C2×C47C2×#42112yes—
384D47—24no—
385D47—42no—
386C22×#41C2×D4711yescharacteristic
387C24×C4—471no—
388C22×M16—471no—
389C22×M16—474no—
390C22×M16—941no—
391C22×M16—944no—
392C22×M16—942no—
393C22×M16—944no—
394C22×M16C2×D4711yescharacteristic
395C23×C8—941no—
396#525—472no—
397#525—472no—
398#525—474no—
399#525—941no—
400#525—941no—
401#525—942no—
402C2×#123—941no—
403C2×C22⋊Q8—472no—
404C2×#121—472no—
405C2×#120—941no—
406C2×C4×D4—942no—
407C2×#117—471no—
408C2×#117—471no—
409C2×#117C2×D4711yescharacteristic
410#421—24no—
411#421—944no—
412C2×#104—474no—
413C2×#104C2×D4714yescomplemented
414#381—941no—
415#380—942no—
416#379—941no—
417C4×C22⋊C4—474no—
418#339—474no—
419#339—474no—
420C47#2090211yescharacteristic, complemented, Sylow
421C25—471no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—22no—
428C2×#41C4×D4712yes—
429C2×#41C22×D4712yes—
430C22×Q8C4×D4711yescharacteristic
431C22×D4—21no—
432C22×D4—942no—
433C22×D4C4×D4711yescharacteristic
434C23×C4—21no—
435C23×C4—471no—
436C23×C4—472no—
437C23×C4—471no—
438C23×C4—471no—
439C23×C4—472no—
440C23×C4—471no—
441C23×C4—471no—
442C23×C4—472no—
443C23×C4—472no—
444C23×C4—942no—
445C23×C4—942no—
446C23×C4—942no—
447C23×C4—942no—
448C23×C4C22×D4711yescharacteristic
449C2×M16—22no—
450C2×M16—21no—
451C2×M16—474no—
452C2×M16—472no—
453C2×M16—944no—
454C2×M16—948no—
455C2×M16—948no—
456C2×M16—9416no—
457C2×M16—941no—
458C2×M16—942no—
459C2×M16—948no—
460C2×M16C22⋊D4714yescomplemented
461C2×M16C22×D4712yes—
462C22×C8—21no—
463C22×C8—944no—
464C22×C8—948no—
465C22×C8—941no—
466#123—942no—
467#123—942no—
468#123—944no—
469C22⋊Q8—474no—
470C22⋊Q8—474no—
471C22⋊Q8—942no—
472C22⋊Q8—942no—
473#121—474no—
474#121—474no—
475#121—942no—
476#121—942no—
477#120—942no—
478#120—942no—
479#120—944no—
480C4×D4—944no—
481C4×D4—944no—
482C4×D4—944no—
483C4×D4—944no—
484#117—22no—
485#117—22no—
486#117—472no—
487#117—472no—
488#117—941no—
489#117—941no—
490#117—942no—
491#117—942no—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—472no—
494C2×C4⋊C4—942no—
495C2×C4⋊C4—941no—
496C2×C22⋊C4—21no—
497C2×C22⋊C4—942no—
498C2×C22⋊C4—942no—
499C2×C22⋊C4—941no—
500C2×C22⋊C4—944no—
501C2×C22⋊C4—941no—
502C2×C42—472no—
503C2×C42—941no—
504C2×C42C22×D4712yes—
505#104—28no—
506#104—948no—
507#95—944no—
508C24—21no—
509C24—471no—
510C24—472no—
511C24—472no—
512C24—471no—
513C24—942no—
514C24—942no—
515C24—1884no—
516C24D4×D4711yescharacteristic
517#41—24no—
518#41—24no—
519#41—22no—
520#41—22no—
521#41—22no—
522#41—22no—
523#41—42no—
524#41—42no—
525#41—42no—
526#41—42no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8C2×C4×D4712yes—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—944no—
539C2×D4—944no—
540C2×D4—1888no—
541C2×D4C2×C4×D4712yes—
542C22×C4—21no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—472no—
549C22×C4—471no—
550C22×C4—471no—
551C22×C4—472no—
552C22×C4—472no—
553C22×C4—472no—
554C22×C4—472no—
555C22×C4—472no—
556C22×C4—472no—
557C22×C4—472no—
558C22×C4—472no—
559C22×C4—472no—
560C22×C4—942no—
561C22×C4—942no—
562C22×C4—944no—
563C22×C4—942no—
564C22×C4—942no—
565C22×C4—944no—
566C22×C4—942no—
567C22×C4—942no—
568C22×C4—942no—
569C22×C4—944no—
570C22×C4—942no—
571C22×C4—944no—
572C22×C4—944no—
573C22×C4—944no—
574C22×C4—942no—
575C22×C4—942no—
576C22×C4—942no—
577C22×C4—942no—
578C22×C4—942no—
579C22×C4—942no—
580C22×C4—942no—
581C22×C4—942no—
582C22×C4C2×C4×D4711yescharacteristic
583C22×C4C2×C4×D4711yescharacteristic
584C22×C4#1062535012yes—
585C22×C4D4×D4711yescharacteristic
586C22×C4D4×D4711yescharacteristic
587C22×C4D4×D4711yescharacteristic
588C22×C4D4×D4712yes—
589C22×C4#1062535212yes—
590C22×C4C2×C22⋊D4712yes—
591C22×C4C23×D4711yescharacteristic
592M16—24no—
593M16—22no—
594M16—474no—
595M16—9416no—
596M16—944no—
597M16—942no—
598M16C2×C22⋊D4714yescomplemented
599C2×C8—24no—
600C2×C8—22no—
601C2×C8—9416no—
602C2×C8—944no—
603C2×C8—942no—
604C4⋊C4—42no—
605C4⋊C4—474no—
606C4⋊C4—944no—
607C4⋊C4—944no—
608C4⋊C4—942no—
609C4⋊C4—1882no—
610C22⋊C4—42no—
611C22⋊C4—944no—
612C22⋊C4—944no—
613C22⋊C4—944no—
614C22⋊C4—944no—
615C22⋊C4—942no—
616C22⋊C4—942no—
617C22⋊C4—1888no—
618C22⋊C4—1882no—
619C42—22no—
620C42—22no—
621C42—942no—
622C42—942no—
623C42—942no—
624C42—942no—
625C23—22no—
626C23—42no—
627C23—44no—
628C23—42no—
629C23—472no—
630C23—472no—
631C23—944no—
632C23—944no—
633C23—944no—
634C23—942no—
635C23—944no—
636C23—942no—
637C23—942no—
638C23—942no—
639C23—1882no—
640C23—1882no—
641C23—1882no—
642C23—1888no—
643C23—1888no—
644C23C22⋊C4×D4711yescharacteristic
645C23C22⋊C4×D4711yescharacteristic
646C23#1309399512yes—
647C23#1309399712yes—
648C23C2×D4×D4711yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652D4—22no—
653D4—22no—
654D4—44no—
655D4—42no—
656D4—42no—
657D4—42no—
658D4—1888no—
659D4—1888no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—472no—
668C2×C4—472no—
669C2×C4—944no—
670C2×C4—942no—
671C2×C4—942no—
672C2×C4—942no—
673C2×C4—942no—
674C2×C4—944no—
675C2×C4—944no—
676C2×C4—944no—
677C2×C4—944no—
678C2×C4—942no—
679C2×C4—942no—
680C2×C4—942no—
681C2×C4—942no—
682C2×C4—942no—
683C2×C4—942no—
684C2×C4—942no—
685C2×C4—942no—
686C2×C4—944no—
687C2×C4—1884no—
688C2×C4—1882no—
689C2×C4—1884no—
690C2×C4C22⋊C4×D4711yescharacteristic
691C2×C4C22⋊C4×D4711yescharacteristic
692C2×C4(C22⋊D47)⋊C412yes—
693C2×C4(C22⋊D47)⋊C412yes—
694C2×C4C4×C22⋊D4712yes—
695C2×C4C4×C22⋊D4712yes—
696C2×C4#1309399212yes—
697C2×C4#1309399212yes—
698C2×C4#1309399512yes—
699C2×C4#1309399712yes—
700C2×C4#1309400612yes—
701C2×C4#1309400612yes—
702C2×C4C22×C4×D4711yescharacteristic
703C2×C4C2×D4×D4711yescharacteristic
704C2×C4C2×D4×D4711yescharacteristic
705C2×C4C22×C22⋊D4711yescharacteristic
706C2×C4C2×#1062535211yescharacteristic
707C2×C4C2×#1062535011yescharacteristic
708C8—24no—
709C8—944no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—42no—
714C22—42no—
715C22—44no—
716C22—42no—
717C22—84no—
718C22—474no—
719C22—948no—
720C22—942no—
721C22—942no—
722C22—942no—
723C22—942no—
724C22—942no—
725C22—1884no—
726C22—1884no—
727C22—1888no—
728C22—1884no—
729C22#1568899912yes—
730C22#1568899912yes—
731C22C2×C22⋊C4×D4711yescharacteristic
732C22C2×#1309399511yescharacteristic
733C22C2×#1309399711yescharacteristic
734C4—42no—
735C4—82no—
736C4—942no—
737C4—942no—
738C4—3762no—
739C4—1884no—
740C4#1568899912yes—
741C4#1568899912yes—
742C4C2×(C22⋊D47)⋊C411yescharacteristic
743C4C2×C4×C22⋊D4711yescharacteristic
744C4C2×#1309399211yescharacteristic
745C4C2×#1309400611yescharacteristic
746C2—21no—
747C2—21no—
748C2—22no—
749C2—22no—
750C2—82no—
751C2—944no—
752C2—1882no—
753C2C2×#1568899911yescharacteristic
754C2#421×D4712yes—
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#421C2
socleC22×C47C22×C22⋊C4
prime radicalC2×#15689630C2
cosocleC22×C4×C47C24
hypercenterC2×#421D47
hypocenterC47#20902
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
1. C22×M16×D47C2semidirect
3. C2×#15689140C2semidirect
4. #20245767C2semidirect
5. #20243687C2semidirect
6. #20243099C2semidirect
7. #20243098C2semidirect
8. C2×C47×#421C2semidirect
15. C2×M16×D47C22semidirect
20. #15689630C4semidirect
21. #15689630C4semidirect
24. C2×#13094000C4semidirect
25. C2×#13093995C4semidirect
31. C2×#13093951C22semidirect
35. C4×(C2×D47)⋊C4C22semidirect
36. #15688884C22semidirect
37. #15688883C22semidirect
42. C2×#104×C47C22semidirect
60. C2×#10625329D4semidirect
121. C2×M16×C47D4semidirect
216. M16×C47C2×D4semidirect
242. #10625329C2×D4semidirect
356. C2×D47#421semidirect
372. C2×#421D47semidirect
413. C2×#104C2×D47semidirect
420. C47#20902semidirect
460. C2×M16C22⋊D47semidirect
598. M16C2×C22⋊D47semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D472
C2×#156896302
C2×#156891402
#202457672
#202436872
#202430992
#202430982
C2×C47×#4212
#2090247