Finite Group Databasebeta

← #26222756

Subgroups — #26222756

Order 12032.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689354C211yesmaximal, characteristic
2C2×#15689208C211yesmaximal, characteristic, complemented
3C22×C8×Dic47C211yesmaximal, characteristic, complemented
4C22⋊Q8×Dic47C211yesmaximal, characteristic, complemented
5#20245894C211yesmaximal, characteristic
6#20244239C211yesmaximal, characteristic, complemented
7#20244115C211yesmaximal, characteristic, complemented
8#20244072C211yesmaximal, characteristic, complemented
9#20244061C211yesmaximal, characteristic, complemented
10#20243816C211yesmaximal, characteristic
11#20243411C211yesmaximal, characteristic, complemented
12#20243276C211yesmaximal, characteristic, complemented
13#103×Dic47C211yesmaximal, characteristic, complemented
14#20243202C211yesmaximal, characteristic, complemented
15C47×#1892C211yesmaximal, characteristic, complemented
16C22×#10625336C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18C2×#13093998C2211yescharacteristic
19C2×Q8×Dic47C2211yescharacteristic
20C2×#13093986C2211yescharacteristic
21C2×(C22⋊D47)⋊C4—21no—
22C22×C4×Dic47C2211yescharacteristic
23#15689354C418yescomplemented
24#15689208—24no—
25C2×#13093955C2211yescharacteristic
26C2×#13093955C2211yescharacteristic
27C2×#13093955C2211yescharacteristic
28C2×#13093948C2211yescharacteristic
29C2×#13093946C2211yescharacteristic
30C2×#13093946C2211yescharacteristic
31C2×#13093944C2211yescharacteristic
32C2×C8×Dic47—24no—
33C2×C8×Dic47C2211yescharacteristic
34C2×C8×Dic47C2211yescharacteristic
35C2×C8×Dic47C2211yescharacteristic
36C2×C8×Dic47C2211yescharacteristic
37#15689030C2211yescharacteristic
38#15689024C2211yescharacteristic
39#15689022C2211yescharacteristic
40#15689019C2211yescharacteristic
41#15689012—21no—
42#15689009—21no—
43#15689000—21no—
44#15688998—21no—
45#15688983C2211yescharacteristic
46C4⋊C4×Dic47—21no—
47C4⋊C4×Dic47C2211yescharacteristic
48C4⋊C4×Dic47C2211yescharacteristic
49C22⋊C4×Dic47—21no—
50#15688970—21no—
51#15688886C2211yescharacteristic
52#15688886C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C23×C8×C47C2211yescharacteristic
56C2×C22⋊Q8×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C2×#103×C47C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×D188C2311yescharacteristic
63C22×C22⋊D47—21no—
64C23×Dic47D411yescharacteristic
65C23×Dic47D411yescharacteristic
66C22×C4×D47—21no—
67C2×#10625336—22no—
68C2×#10625336—22no—
69C2×#10625336C2×C414yescomplemented
70C22×C47⋊C8—22no—
71C22×C47⋊C8—22no—
72C22×C47⋊C8C2×C414yescomplemented
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75#13093998—22no—
76#13093998C2×C414yes—
77Q8×Dic47—22no—
78Q8×Dic47—22no—
79#13093986—22no—
80#13093986—22no—
81(C22⋊D47)⋊C4—44no—
82C2×C4⋊Dic47—21no—
83C2×C4⋊Dic47—21no—
84C2×C4⋊Dic47C2311yescharacteristic
85C2×C4⋊Dic47C2311yescharacteristic
86C2×C4⋊Dic47C2311yescharacteristic
87C2×Dic47⋊C4—21no—
88C2×C22⋊Dic47—21no—
89C2×(C2×D47)⋊C4—21no—
90C2×(C2×D47)⋊C4—21no—
91C2×(C2×D47)⋊C4—21no—
92C2×(C2×D47)⋊C4—21no—
93C2×C4×Dic47—22no—
94C2×C4×Dic47—22no—
95C2×C4×Dic47—21no—
96C2×C4×Dic47—21no—
97C2×C4×Dic47—21no—
98C2×C4×Dic47D411yescharacteristic
99C2×C4×Dic47D411yescharacteristic
100C2×C4×Dic47C2311yescharacteristic
101C2×C4×Dic47C2311yescharacteristic
102#13093955—22no—
103#13093955—22no—
104#13093955C2×C414yescomplemented
105#13093948C2×C414yescomplemented
106#13093946—22no—
107#13093946—22no—
108#13093944C2×C414yescomplemented
109C8×Dic47—22no—
110C8×Dic47—22no—
111C8×Dic47—22no—
112C8×Dic47D414yescomplemented
113C47⋊#95—21no—
114C47⋊#95—21no—
115C47⋊#95—21no—
116C47⋊#95—21no—
117C47⋊#95—21no—
118C47⋊#95—21no—
119C47⋊#95—21no—
120C22×Q8×C47C2311yescharacteristic
121C23×C4×C47C2311yescharacteristic
122C22×C8×C47—22no—
123C22×C8×C47—22no—
124C22×C8×C47—22no—
125C22×C8×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127C22⋊Q8×C47—22no—
128C22⋊Q8×C47C2×C414yescomplemented
129C2×C4⋊C4×C47—21no—
130C2×C4⋊C4×C47C2311yescharacteristic
131C2×C4⋊C4×C47C2311yescharacteristic
132C2×C4⋊C4×C47C2311yescharacteristic
133C2×C22⋊C4×C47—21no—
134C2×C22⋊C4×C47—21no—
135#103×C47—22no—
136#103×C47—22no—
137#95×C47—21no—
138C24×C47C2×D411yescharacteristic
139C23×D47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47C22×C412yes—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47C22×C412yes—
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47#4112yes—
157C22×C4×C47C2411yescharacteristic
158C2×C22⋊D47—24no—
159C2×C22⋊D47—42no—
160C2×C22⋊D47—42no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47—21no—
169C22×Dic47SD1614yescomplemented
170C22×Dic47C2×D411yescharacteristic
171C22×Dic47C2×D411yescharacteristic
172C22×Dic47C2×D411yescharacteristic
173C22×Dic47C2×D411yescharacteristic
174C2×D188—21no—
175C2×D188—21no—
176C2×D188—21no—
177C2×D188—21no—
178C2×D188—21no—
179C2×D188C22×C412yes—
180C2×C4×D47—42no—
181C2×C4×D47—42no—
182C2×C4×D47—42no—
183C2×C8×C47—28no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47C2×D412yes—
189C2×C8×C47#4112yes—
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×C47C22×C412yes—
197C22⋊C4×C47—24no—
198C22⋊C4×C47—42no—
199C22⋊Dic47—42no—
200#10625336—28no—
201(C2×D47)⋊C4—24no—
202(C2×D47)⋊C4—42no—
203(C2×D47)⋊C4—42no—
204(C2×D47)⋊C4—42no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—42no—
211C4⋊Dic47—42no—
212C4⋊Dic47C22×C412yes—
213Dic47⋊C4—42no—
214C4×Dic47—21no—
215C4×Dic47—21no—
216C4×Dic47—22no—
217C4×Dic47—22no—
218C4×Dic47—42no—
219C4×Dic47—42no—
220C4×Dic47—42no—
221C4×Dic47C2×D412yes—
222C4×Dic47#4112yes—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—28no—
226C2×C47⋊C8C22×C412yes—
227C2×C47⋊C8C22×C412yes—
228C2×C47⋊C8C2×D412yes—
229C2×C47⋊C8#4112yes—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47C4×D412yes—
235C23×C47C2×SD1612yes—
236C23×C47#13512yes—
237C23×C47C22×D411yescharacteristic
238C22×D47—22no—
239C22×D47—41no—
240C22×D47—41no—
241C22×D47—41no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245Q8×C47—22no—
246Q8×C47—22no—
247Q8×C47—41no—
248Q8×C47—41no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47C4×D412yes—
268C2×C4×C47C23×C411yescharacteristic
269C2×C4×C47C22×D411yescharacteristic
270C2×C4×C47C2×#4111yescharacteristic
271C2×C4×C47C2×#4111yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C22⋊D47—48no—
275C2×Dic47—28no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—28no—
283C2×Dic47—22no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47#12112yes—
293C2×Dic47#12112yes—
294C2×Dic47C2×SD1612yes—
295C2×Dic47C2×SD1612yes—
296C2×Dic47#13512yes—
297C2×Dic47#13512yes—
298D188—22no—
299D188—22no—
300D188—41no—
301D188—41no—
302C4×D47—84no—
303C8×C47—22no—
304C8×C47—22no—
305C47⋊C8—22no—
306C47⋊C8C4×D414yescomplemented
307C4×#465—471nomaximal, Sylow
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—22no—
314C22×C47C4×SD1614yescomplemented
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×#12111yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47C22×SD1611yescharacteristic
319C22×C47C2×#13511yescharacteristic
320C22×C47C2×#13511yescharacteristic
321C22×C47C2×#13511yescharacteristic
322C2×D47—42no—
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—81no—
326C2×D47—81no—
327C2×D47—81no—
328C2×D47—81no—
329C4×C47—22no—
330C4×C47—42no—
331C4×C47—42no—
332C4×C47—81no—
333C4×C47—81no—
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C4×#4111yescharacteristic
336C4×C47#52511yescharacteristic
337C4×C47#52911yescharacteristic
338Dic47—22no—
339Dic47—22no—
340Dic47—22no—
341Dic47—42no—
342Dic47—81no—
343Dic47—81no—
344Dic47#46514yescomplemented
345C2×#465—471no—
346C2×C4×SD16—471no—
347C22×C4×C8—471no—
348C4×C22⋊Q8—471no—
349C4×#121—471no—
350#1968—471no—
351#1941—471no—
352#1934—471no—
353#1933—471no—
354#1893—471no—
355#1892D4711yescharacteristic, complemented
356#1807—471no—
357C4×#106—471no—
358C4×#103—471no—
359C4×#102—471no—
360C2×C47—24no—
361C2×C47C4×#12111yescharacteristic
362C2×C47C2×C4×SD1611yescharacteristic
363C2×C47C4×#13511yescharacteristic
364C2×C47C2×#46511yescharacteristic
365C2×C47#305011yescharacteristic
366C2×C47#316711yescharacteristic
367C2×C47#316811yescharacteristic
368D47—82no—
369C22×SD16—471no—
370C23×C8—471no—
371C23×C8C2×D4711yescharacteristic
372C2×C22⋊Q8C2×D4711yescharacteristic
373C2×#121—471no—
374C2×C4×Q8—471no—
375C2×C4×D4—471no—
376C2×C4×D4—941no—
377C22×C42—471no—
378#465—478no—
379C4×SD16—944no—
380C2×#106—471no—
381C2×#106—471no—
382C2×#106—471no—
383C2×#103—471no—
384C2×#103C2×D4711yescharacteristic
385C2×#103C2×D4711yescharacteristic
386C2×#102—471no—
387C2×#102—471no—
388C2×#102—471no—
389C2×C4×C8—471no—
390C2×C4×C8—471no—
391C2×C4×C8—471no—
392C2×C4×C8—471no—
393C2×C4×C8—944no—
394#391—471no—
395#390—471no—
396#389—471no—
397#389—471no—
398#388—941no—
399#387—941no—
400#386—941no—
401#385—941no—
402#380—471no—
403#380C2×D4711yescharacteristic
404C4×C4⋊C4—471no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—941no—
407C4×C22⋊C4—941no—
408C4×C22⋊C4—941no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340C2×D4711yescharacteristic
414#340C2×D4711yescharacteristic
415C47C4×#46511yescharacteristic, complemented, Sylow
416C22×Q8C22×D4711yescharacteristic
417C22×D4—471no—
418C22×D4—941no—
419C23×C4—471no—
420C23×C4—471no—
421C23×C4—941no—
422C23×C4C22×D4711yescharacteristic
423C2×SD16—474no—
424C2×SD16—942no—
425C2×SD16—942no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—471no—
430C22×C8—474no—
431C22×C8—471no—
432C22×C8—942no—
433C22×C8—942no—
434C22×C8C22×D4711yescharacteristic
435C22×C8C22×D4711yescharacteristic
436C22⋊Q8—22no—
437C22⋊Q8C4×D4714yescomplemented
438#121—474no—
439#121—942no—
440C4×Q8—942no—
441C4×Q8—942no—
442C4×D4—942no—
443C4×D4—942no—
444C4×D4—1884no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—471no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—941no—
450C2×C4⋊C4—941no—
451C2×C4⋊C4—941no—
452C2×C4⋊C4C22×D4711yescharacteristic
453C2×C4⋊C4C22×D4711yescharacteristic
454C2×C4⋊C4C22×D4711yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4—941no—
459C2×C22⋊C4—941no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—941no—
462C2×C42—471no—
463C2×C42—471no—
464C2×C42—471no—
465C2×C42—471no—
466C2×C42—942no—
467C2×C42—942no—
468C2×C42—941no—
469C2×C42—941no—
470C2×C42—941no—
471#106—474no—
472#106—942no—
473#106—942no—
474#103—22no—
475#103—22no—
476#103—474no—
477#102—474no—
478#102—942no—
479#102—942no—
480C4×C8—474no—
481C4×C8—942no—
482C4×C8—942no—
483C4×C8—942no—
484#95—21no—
485#95—941no—
486#95—941no—
487#95—941no—
488#95—941no—
489#95—941no—
490#95—941no—
491#95—941no—
492C24—941no—
493C24D4×D4711yescharacteristic
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4712yes—
500C2×D4—472no—
501C2×D4—944no—
502C2×D4—941no—
503C2×D4—941no—
504C2×D4—941no—
505C2×D4—941no—
506C2×D4—941no—
507C2×D4—1882no—
508C2×D4—1882no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—471no—
518C22×C4—474no—
519C22×C4—471no—
520C22×C4—471no—
521C22×C4—471no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4—941no—
530C22×C4—1882no—
531C22×C4—1882no—
532C22×C4—1882no—
533C22×C4C2×C4×D4712yes—
534C22×C4D4×D4711yescharacteristic
535C22×C4#1062535212yes—
536C22×C4C23×D4711yescharacteristic
537SD16—948no—
538C2×C8—28no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—472no—
544C2×C8—472no—
545C2×C8—472no—
546C2×C8—472no—
547C2×C8—948no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8D4×D4712yes—
551C2×C8#1062535212yes—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—472no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—1882no—
565C4⋊C4—1882no—
566C4⋊C4—1882no—
567C4⋊C4C2×C4×D4712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—944no—
571C22⋊C4—1882no—
572C22⋊C4—1882no—
573C22⋊C4—1882no—
574C22⋊C4—1882no—
575C42—472no—
576C42—472no—
577C42—942no—
578C42—942no—
579C42—941no—
580C42—941no—
581C42—1882no—
582C42—1882no—
583C42—1882no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—942no—
589C23—1881no—
590C23—1881no—
591C23—1881no—
592C23—1881no—
593C23—1881no—
594C23—1881no—
595C23(C22⋊D47)⋊C412yes—
596C23SD16×D4712yes—
597C23#1309404712yes—
598C23C2×D4×D4711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—942no—
604D4—942no—
605D4—1888no—
606D4—1881no—
607D4—1881no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
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—472no—
627C2×C4—472no—
628C2×C4—472no—
629C2×C4—472no—
630C2×C4—472no—
631C2×C4—472no—
632C2×C4—948no—
633C2×C4—948no—
634C2×C4—941no—
635C2×C4—941no—
636C2×C4—941no—
637C2×C4—941no—
638C2×C4—941no—
639C2×C4—941no—
640C2×C4—942no—
641C2×C4—3764no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4—1881no—
650C2×C4(C22⋊D47)⋊C412yes—
651C2×C4C22×C4×D4711yescharacteristic
652C2×C4C2×D4×D4711yescharacteristic
653C2×C4#41×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4C2×#1062535211yescharacteristic
656C2×C4C2×#1062535211yescharacteristic
657C8—22no—
658C8—22no—
659C8—474no—
660C8—942no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—3761no—
668C22—3761no—
669C22—3761no—
670C22—3761no—
671C22—1882no—
672C22—1882no—
673C22—1882no—
674C22#1568920814yescomplemented
675C22C2×(C22⋊D47)⋊C411yescharacteristic
676C22#121×D4711yescharacteristic
677C22#1568966811yescharacteristic
678C22C2×SD16×D4711yescharacteristic
679C22#135×D4711yescharacteristic
680C22#135×D4711yescharacteristic
681C22C2×#1309404711yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—474no—
688C4—942no—
689C4—942no—
690C4—942no—
691C4—3761no—
692C4—3761no—
693C4—1882no—
694C4C4×D4×D4711yescharacteristic
695C4C4×#1062535211yescharacteristic
696C4#1568962911yescharacteristic
697C4#1568965011yescharacteristic
698C2—24no—
699C2—3762no—
700C2#2024589811yescharacteristic
701C2C2×#1568920811yescharacteristic
702C2#2025215611yescharacteristic
703C2#465×D4711yescharacteristic
704C2#2025297111yescharacteristic
705C2#2025394211yescharacteristic
706C2#2025395911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1892C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
cosocleC22×C4×C47C24
hypercenter#1892D47
hypocenterC47C4×#465
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#15689208C2semidirect
3. C22×C8×Dic47C2semidirect
4. C22⋊Q8×Dic47C2semidirect
6. #20244239C2semidirect
7. #20244115C2semidirect
8. #20244072C2semidirect
9. #20244061C2semidirect
11. #20243411C2semidirect
12. #20243276C2semidirect
13. #103×Dic47C2semidirect
14. #20243202C2semidirect
15. C47×#1892C2semidirect
23. #15689354C4semidirect
69. C2×#10625336C2×C4semidirect
72. C22×C47⋊C8C2×C4semidirect
104. #13093955C2×C4semidirect
105. #13093948C2×C4semidirect
108. #13093944C2×C4semidirect
112. C8×Dic47D4semidirect
128. C22⋊Q8×C47C2×C4semidirect
169. C22×Dic47SD16semidirect
306. C47⋊C8C4×D4semidirect
314. C22×C47C4×SD16semidirect
344. Dic47#465semidirect
355. #1892D47semidirect
415. C47C4×#465semidirect
437. C22⋊Q8C4×D47semidirect
674. C22#15689208semidirect

Maximal subgroups

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

subgroupindex
C2×#156893542
C2×#156892082
C22×C8×Dic472
C22⋊Q8×Dic472
#202458942
#202442392
#202441152
#202440722
#202440612
#202438162
#202434112
#202432762
#103×Dic472
#202432022
C47×#18922
C4×#46547