Finite Group Databasebeta

← C4×#15689367 #26222903

Subgroups — C4×#15689367 #26222903

Order 12032.

1086 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×#15689367C211yesmaximal, characteristic
2C2×C4×#10625335C211yesmaximal, characteristic, complemented
3C2×C4×#10625329C211yesmaximal, characteristic, complemented
4C4×#13094003C211yesmaximal, characteristic, complemented
5#20244268C211yesmaximal, characteristic, complemented
6#20244123C211yesmaximal, characteristic, complemented
7#20244088C211yesmaximal, characteristic, complemented
8#20244077C211yesmaximal, characteristic, complemented
9#20243827C211yesmaximal, characteristic
10#20243819C211yesmaximal, characteristic, complemented
11#20243419C211yesmaximal, characteristic, complemented
12C4×#13093957C211yesmaximal, characteristic, complemented
13C4×#13093947C211yesmaximal, characteristic, complemented
14C4×#13093945C211yesmaximal, characteristic, complemented
15C4×#121×C47C211yesmaximal, characteristic
16C22×#10625335C2211yescharacteristic
17C22×#10625329C2211yescharacteristic
18C22×#10625329C2211yescharacteristic
19C2×#13094003C2211yescharacteristic
20C2×C4×Dic94C2211yescharacteristic
21#15689367C418yesdirect product factor
22C4×#10625335—24no—
23C2×#13093957C2211yescharacteristic
24C2×#13093957C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093947C2211yescharacteristic
27C2×#13093947C2211yescharacteristic
28C2×#13093947C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C4×#10625329—24no—
33C2×#13093935C2211yescharacteristic
34C2×#13093935C2211yescharacteristic
35C2×C4×C47⋊C8C2211yescharacteristic
36C2×C4×C47⋊C8C2211yescharacteristic
37#15689029C2211yescharacteristic
38#15689021C2211yescharacteristic
39#15689007—21no—
40#15688996—21no—
41#15688983C2211yescharacteristic
42C4×Dic47⋊C4—21no—
43C4×C4⋊Dic47C2211yescharacteristic
44C4×C22⋊Dic47—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51C2×#121×C47C2211yescharacteristic
52C2×C4×D4×C47—21no—
53C2×C4×D4×C47C2211yescharacteristic
54C22×C42×C47C2211yescharacteristic
55C47×#390C2211yescharacteristic
56C47×#389C2211yescharacteristic
57C47×#388—21no—
58C47×#386—21no—
59C47×#380C2211yescharacteristic
60C4×C4⋊C4×C47C2211yescharacteristic
61C4×C22⋊C4×C47—21no—
62C22×Dic94C2311yescharacteristic
63C2×#10625335—22no—
64C2×#10625335—22no—
65C2×#10625335C2×C414yescomplemented
66C2×#10625329—22no—
67C2×#10625329—22no—
68C2×#10625329—22no—
69C2×#10625329—22no—
70C2×#10625329—22no—
71C2×#10625329C2×C414yescomplemented
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75C22×C47⋊C8C2311yescharacteristic
76#13094003—22no—
77#13094003C2×C414yescomplemented
78C4×Dic94—22no—
79C4×Dic94—22no—
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C4⋊Dic47C2311yescharacteristic
83C2×Dic47⋊C4—21no—
84C2×Dic47⋊C4—21no—
85C2×Dic47⋊C4—21no—
86C2×C22⋊Dic47—21no—
87C2×C22⋊Dic47—21no—
88C2×C4×Dic47—21no—
89C2×C4×Dic47—21no—
90#13093957—22no—
91#13093957C2×C414yescomplemented
92#13093955—22no—
93#13093947—22no—
94#13093947—22no—
95#13093947C2×C414yescomplemented
96#13093945—22no—
97#13093945—22no—
98#13093945C2×C414yescomplemented
99#13093935—22no—
100#13093935—22no—
101C4×C47⋊C8—22no—
102C4×C47⋊C8D414yescomplemented
103C47⋊#95—21no—
104C47⋊#95—21no—
105C47⋊#95—21no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C22×D4×C47—21no—
109C22×D4×C47C2311yescharacteristic
110C23×C4×C47—21no—
111C23×C4×C47D411yescharacteristic
112C23×C4×C47D411yescharacteristic
113C23×C4×C47C2311yescharacteristic
114#121×C47—22no—
115#121×C47C2×C414yes—
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—44no—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C4⋊C4×C47C2311yescharacteristic
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C42×C47—22no—
129C2×C42×C47—22no—
130C2×C42×C47—21no—
131C2×C42×C47D411yescharacteristic
132C2×C42×C47D411yescharacteristic
133C2×C42×C47C2311yescharacteristic
134C2×C42×C47C2311yescharacteristic
135#95×C47—21no—
136#95×C47—21no—
137#95×C47—21no—
138C24×C47—21no—
139C24×C47C2×D411yescharacteristic
140C2×D4×C47—24no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—42no—
147C2×D4×C47—42no—
148C2×D4×C47C22×C412yes—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—22no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—41no—
161C22×C4×C47—41no—
162C22×C4×C47—42no—
163C22×C4×C47—42no—
164C22×C4×C47—42no—
165C22×C4×C47C22×C412yes—
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47#4112yes—
172C22×C4×C47C2411yescharacteristic
173C22×Dic47—21no—
174C22×Dic47—21no—
175C22×Dic47—21no—
176C22×Dic47—21no—
177C2×Dic94—21no—
178C2×Dic94—21no—
179C2×Dic94—21no—
180C2×Dic94—21no—
181C2×Dic94—21no—
182C2×Dic94C22×C412yes—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—42no—
189C4⋊C4×C47C22×C412yes—
190C22⋊C4×C47—24no—
191C22⋊C4×C47—42no—
192C22⋊C4×C47—42no—
193C22⋊C4×C47—42no—
194C22⋊C4×C47—42no—
195C42×C47—22no—
196C42×C47—22no—
197C42×C47—21no—
198C42×C47—21no—
199C42×C47—42no—
200C42×C47C2×D412yes—
201C42×C47#4112yes—
202C22⋊Dic47—24no—
203C22⋊Dic47—42no—
204#10625335—28no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47C22×C412yes—
211Dic47⋊C4—24no—
212Dic47⋊C4—42no—
213Dic47⋊C4—42no—
214C4×Dic47—42no—
215C4×Dic47—42no—
216#10625329—28no—
217#10625329—28no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8C22×C412yes—
225C2×C47⋊C8C22×C412yes—
226C2×C47⋊C8C2×D412yes—
227C2×C47⋊C8C2×D412yes—
228C2×C47⋊C8#4112yes—
229C2×C47⋊C8#4112yes—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—22no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47—41no—
241C23×C47—41no—
242C23×C47—41no—
243C23×C47C4×D412yes—
244C23×C47C22×D411yescharacteristic
245D4×C47—22no—
246D4×C47—22no—
247D4×C47—48no—
248D4×C47—41no—
249D4×C47—41no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
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—44no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—44no—
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—84no—
276C2×C4×C47C4×D412yes—
277C2×C4×C47#12112yes—
278C2×C4×C47#12112yes—
279C2×C4×C47AGL(1,ℤ/8)12yes—
280C2×C4×C47#13712yes—
281C2×C4×C47C23×C411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C47C2×#4111yescharacteristic
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C2×Dic47—41no—
298C2×Dic47—41no—
299Dic94—22no—
300Dic94—22no—
301Dic94—41no—
302Dic94—41no—
303C47⋊C8—22no—
304C47⋊C8—22no—
305C47⋊C8—22no—
306C47⋊C8C4×D414yescomplemented
307C4×#468—471nomaximal, Sylow
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—41no—
312C22×C47—41no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47—42no—
316C22×C47—42no—
317C22×C47—42no—
318C22×C47—81no—
319C22×C47—81no—
320C22×C47—81no—
321C22×C47—81no—
322C22×C47C2×C4×D411yescharacteristic
323C22×C47C2×#12111yescharacteristic
324C22×C47#53211yescharacteristic
325C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C47C2×#13711yescharacteristic
327C22×C47#57511yescharacteristic
328C22×C47#57511yescharacteristic
329C4×C47—22no—
330C4×C47—22no—
331C4×C47—42no—
332C4×C47—41no—
333C4×C47—41no—
334C4×C47—81no—
335C4×C47—81no—
336C4×C47#46814yescomplemented
337C4×C47C2×C4×D411yescharacteristic
338C4×C47C4×#4111yescharacteristic
339C4×C47#52511yescharacteristic
340C4×C47#52911yescharacteristic
341Dic47—42no—
342Dic47—42no—
343Dic47—81no—
344Dic47—81no—
345C2×#468—471no—
346C2×C4×SD16—471no—
347C2×C4×M16—471no—
348C4×C22⋊Q8—471no—
349C4×#121D4711yescharacteristic
350#1973—471no—
351#1943—471no—
352#1936—471no—
353#1935—471no—
354#1895—471no—
355#1894—471no—
356#1809—471no—
357C4×#107—471no—
358C4×#103—471no—
359C4×#102—471no—
360C2×C47—42no—
361C2×C47—82no—
362C2×C47C4×#12111yescharacteristic
363C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C47C4×#13711yescharacteristic
365C2×C47C2×#46811yescharacteristic
366C2×C47#305411yescharacteristic
367C2×C47#317111yescharacteristic
368C2×C47#317211yescharacteristic
369C22×SD16—471no—
370C22×M16—471no—
371C22×M16—471no—
372C2×C22⋊Q8—471no—
373C2×#121C2×D4711yescharacteristic
374C2×C4×Q8—471no—
375C2×C4×D4—21no—
376C2×C4×D4C2×D4711yescharacteristic
377C22×C42C2×D4711yescharacteristic
378#468—478no—
379C4×SD16—944no—
380C2×#107—471no—
381C2×#107—471no—
382C2×#106—471no—
383C2×#103—471no—
384C2×#103—471no—
385C2×#103—471no—
386C2×#102—471no—
387C2×#102—471no—
388C2×#102—471no—
389C4×M16—944no—
390C2×#97—471no—
391C2×#97—471no—
392C2×C4×C8—471no—
393C2×C4×C8—471no—
394#391—471no—
395#390C2×D4711yescharacteristic
396#389—471no—
397#389C2×D4711yescharacteristic
398#388—21no—
399#387—941no—
400#386—21no—
401#385—941no—
402#380—471no—
403#380C2×D4711yescharacteristic
404C4×C4⋊C4—471no—
405C4×C4⋊C4—941no—
406C4×C4⋊C4C2×D4711yescharacteristic
407C4×C22⋊C4—21no—
408C4×C22⋊C4—941no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415C47C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8—471no—
417C22×D4—21no—
418C22×D4C22×D4711yescharacteristic
419C23×C4—21no—
420C23×C4C22⋊D4711yescharacteristic
421C23×C4C22⋊D4711yescharacteristic
422C23×C4C22×D4711yescharacteristic
423C2×SD16—474no—
424C2×SD16—942no—
425C2×SD16—942no—
426C2×M16—474no—
427C2×M16—942no—
428C2×M16—942no—
429C2×M16—942no—
430C2×M16—942no—
431C2×M16—942no—
432C22×C8—471no—
433C22×C8—471no—
434C22×C8—471no—
435C22×C8—471no—
436C22⋊Q8—474no—
437C22⋊Q8—942no—
438#121—22no—
439#121C4×D4714yes—
440C4×Q8—942no—
441C4×Q8—942no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—44no—
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—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—941no—
462C2×C42—22no—
463C2×C42—22no—
464C2×C42—21no—
465C2×C42—941no—
466C2×C42—941no—
467C2×C42C22⋊D4711yescharacteristic
468C2×C42C22⋊D4711yescharacteristic
469C2×C42C22×D4711yescharacteristic
470C2×C42C22×D4711yescharacteristic
471#107—474no—
472#107—942no—
473#106—942no—
474#103—474no—
475#103—942no—
476#103—942no—
477#102—474no—
478#102—942no—
479#102—942no—
480#97—942no—
481#97—942no—
482C4×C8—474no—
483C4×C8—942no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—941no—
488#95—941no—
489#95—941no—
490#95—941no—
491#95—941no—
492C24—21no—
493C24C2×C22⋊D4711yescharacteristic
494C2×Q8—472no—
495C2×Q8—941no—
496C2×Q8—941no—
497C2×Q8—941no—
498C2×Q8—941no—
499C2×Q8—941no—
500C2×D4—24no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4C2×C4×D4712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4C2×C4×D4712yes—
530C22×C4#1062535012yes—
531C22×C4C2×C22⋊D4711yescharacteristic
532C22×C4C2×C22⋊D4711yescharacteristic
533C22×C4C2×C22⋊D4711yescharacteristic
534C22×C4C2×C22⋊D4711yescharacteristic
535C22×C4C2×C22⋊D4711yescharacteristic
536C22×C4C23×D4711yescharacteristic
537SD16—948no—
538M16—948no—
539M16—948no—
540C2×C8—472no—
541C2×C8—472no—
542C2×C8—472no—
543C2×C8—472no—
544C2×C8—472no—
545C2×C8—472no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8—941no—
551C2×C8—941no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—472no—
559C4⋊C4—944no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—1882no—
566C4⋊C4—1882no—
567C4⋊C4C2×C4×D4712yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—944no—
574C22⋊C4—1882no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—1882no—
581C42—1882no—
582C42D4×D4712yes—
583C42#1062535212yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23C4×C22⋊D4712yes—
598C23C22×C22⋊D4711yescharacteristic
599Q8—942no—
600Q8—942no—
601Q8—1881no—
602Q8—1881no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—44no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—44no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4C4×C22⋊D4712yes—
647C2×C4#1309399612yes—
648C2×C4#1309399612yes—
649C2×C4#1309405012yes—
650C2×C4#1309405412yes—
651C2×C4C22×C4×D4711yescharacteristic
652C2×C4C2×D4×D4711yescharacteristic
653C2×C4#41×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4C2×#1062535211yescharacteristic
656C2×C4C2×#1062535011yescharacteristic
657C8—474no—
658C8—942no—
659C8—942no—
660C8—942no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×C4×C22⋊D4711yescharacteristic
676C22C2×#1309399611yescharacteristic
677C22#1568966911yescharacteristic
678C22C2×#1309405011yescharacteristic
679C22C2×#1309405411yescharacteristic
680C22#1568992111yescharacteristic
681C22#1568992111yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—41no—
686C4—41no—
687C4—81no—
688C4—81no—
689C4—3761no—
690C4—3761no—
691C4—1882no—
692C4—1882no—
693C4#1568936714yesdirect product factor
694C4C4×D4×D4711yescharacteristic
695C4C4×#1062535211yescharacteristic
696C4#1568963211yescharacteristic
697C4#1568965311yescharacteristic
698C2—42no—
699C2—82no—
700C2C4×#1309399611yescharacteristic
701C2C4×#1309405011yescharacteristic
702C2C4×#1309405411yescharacteristic
703C2C2×#1568936711yescharacteristic
704C2#2025299411yescharacteristic
705C2#2025397711yescharacteristic
706C2#2025399511yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC4×#121×C47C2
socleC23×C47C22×D4
prime radicalC2×#121×C47C22
cosocleC22×C4×C47C24
hypercenterC4×#121D47
hypocenterC47C4×#468
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10625335C2semidirect
3. C2×C4×#10625329C2semidirect
4. C4×#13094003C2semidirect
5. #20244268C2semidirect
6. #20244123C2semidirect
7. #20244088C2semidirect
8. #20244077C2semidirect
10. #20243819C2semidirect
11. #20243419C2semidirect
12. C4×#13093957C2semidirect
13. C4×#13093947C2semidirect
14. C4×#13093945C2semidirect
21. #15689367C4direct (N × H)
65. C2×#10625335C2×C4semidirect
71. C2×#10625329C2×C4semidirect
77. #13094003C2×C4semidirect
91. #13093957C2×C4semidirect
95. #13093947C2×C4semidirect
98. #13093945C2×C4semidirect
102. C4×C47⋊C8D4semidirect
306. C47⋊C8C4×D4semidirect
336. C4×C47#468semidirect
415. C47C4×#468semidirect
693. C4#15689367direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156893672
C2×C4×#106253352
C2×C4×#106253292
C4×#130940032
#202442682
#202441232
#202440882
#202440772
#202438272
#202438192
#202434192
C4×#130939572
C4×#130939472
C4×#130939452
C4×#121×C472
C4×#46847