Finite Group Databasebeta

← #26221543

Subgroups — #26221543

Order 12032.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689744C211yesmaximal, characteristic
2C2×#15689079C211yesmaximal, characteristic, complemented
3#20244360C211yesmaximal, characteristic, complemented
4#20244348C211yesmaximal, characteristic, complemented
5#20244202C211yesmaximal, characteristic, complemented
6#20244197C211yesmaximal, characteristic, complemented
7#20243824C211yesmaximal, characteristic
8#20243819C211yesmaximal, characteristic, complemented
9#20243814C211yesmaximal, characteristic
10#20243809C211yesmaximal, characteristic, complemented
11#20243221C211yesmaximal, characteristic, complemented
12#20243216C211yesmaximal, characteristic, complemented
13C4×#13093947C211yesmaximal, characteristic, complemented
14C4×#13093944C211yesmaximal, characteristic, complemented
15C47×#2314C211yesmaximal, characteristic, complemented
16C22×#10625329C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18#15689744—24no—
19#15689744C418yescomplemented
20C2×#13094024C2211yescharacteristic
21C2×#13094019—21no—
22C2×#13094012C2211yescharacteristic
23C2×#13094010—21no—
24C2×#13094006—21no—
25C2×#13094003C2211yescharacteristic
26C2×#13094002—21no—
27C2×#13093998C2211yescharacteristic
28C2×C4×Dic94C2211yescharacteristic
29C2×C4×D188C2211yescharacteristic
30C2×#13093947C2211yescharacteristic
31C2×#13093947C2211yescharacteristic
32C2×#13093947C2211yescharacteristic
33C2×#13093947C2211yescharacteristic
34C2×#13093944C2211yescharacteristic
35C2×#13093944C2211yescharacteristic
36C2×#13093944C2211yescharacteristic
37C2×#13093944C2211yescharacteristic
38#15689079—24no—
39C2×#13093935C2211yescharacteristic
40C2×#13093935C2211yescharacteristic
41C2×C4×C47⋊C8C2211yescharacteristic
42C2×C4×C47⋊C8C2211yescharacteristic
43#15688885C2211yescharacteristic
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51C2×#117×C47C2211yescharacteristic
52C47×#388—21no—
53C47×#388—21no—
54C47×#387—21no—
55C47×#387—21no—
56C47×#384C2211yescharacteristic
57C47×#382C2211yescharacteristic
58C47×#380C2211yescharacteristic
59C47×#380C2211yescharacteristic
60C4×C4⋊C4×C47C2211yescharacteristic
61C4×C4⋊C4×C47C2211yescharacteristic
62C22×Dic94—21no—
63C22×Dic94C2311yescharacteristic
64C22×D188C2311yescharacteristic
65C22×C22⋊D47—21no—
66C22×C4×D47—21no—
67C2×#10625329—22no—
68C2×#10625329—22no—
69C2×#10625329—22no—
70C22×C47⋊C8—22no—
71C22×C47⋊C8—22no—
72C22×C47⋊C8—22no—
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75C22×C47⋊C8C2311yescharacteristic
76C22×C47⋊C8C2311yescharacteristic
77#13094024—22no—
78#13094024C2×C414yes—
79#13094019—28no—
80#13094012—22no—
81#13094012C2×C414yes—
82#13094010—28no—
83#13094006—28no—
84#13094003—22no—
85#13094003C2×C414yes—
86#13094002—28no—
87#13093998—22no—
88#13093998C2×C414yes—
89C4×Dic94—22no—
90C4×Dic94C2×C414yes—
91C4×D188—22no—
92C4×D188C2×C414yes—
93C2×C4⋊Dic47—21no—
94C2×C4⋊Dic47C2311yescharacteristic
95C2×C4⋊Dic47C2311yescharacteristic
96C2×Dic47⋊C4—21no—
97C2×Dic47⋊C4—21no—
98C2×C22⋊Dic47—21no—
99C2×(C2×D47)⋊C4—21no—
100C2×(C2×D47)⋊C4—21no—
101C2×(C2×D47)⋊C4—21no—
102C2×(C2×D47)⋊C4—21no—
103C2×C4×Dic47—21no—
104#13093947—22no—
105#13093947—22no—
106#13093947—22no—
107#13093947—22no—
108#13093944—22no—
109#13093944—22no—
110#13093944—22no—
111#13093944—22no—
112#13093935—22no—
113#13093935—22no—
114C4×C47⋊C8—22no—
115C4×C47⋊C8—22no—
116C23×C4×C47C2311yescharacteristic
117#117×C47C2×C414yes—
118#117×C47D414yes—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47—21no—
121C2×C4⋊C4×C47D411yescharacteristic
122C2×C4⋊C4×C47D411yescharacteristic
123C2×C4⋊C4×C47C2311yescharacteristic
124C2×C4⋊C4×C47C2311yescharacteristic
125C2×C4⋊C4×C47C2311yescharacteristic
126C2×C4⋊C4×C47C2311yescharacteristic
127C2×C22⋊C4×C47—21no—
128C2×C22⋊C4×C47—21no—
129C2×C22⋊C4×C47D411yescharacteristic
130C2×C22⋊C4×C47D411yescharacteristic
131C2×C42×C47—21no—
132C2×C42×C47—21no—
133C2×C42×C47C2311yescharacteristic
134C2×C42×C47C2311yescharacteristic
135#95×C47—21no—
136#95×C47—21no—
137#95×C47—21no—
138#95×C47—21no—
139#95×C47—21no—
140#95×C47—21no—
141C24×C47C2×D411yescharacteristic
142C23×D47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47C22×C412yes—
152C22×C4×C47C2×D411yescharacteristic
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2×D412yes—
158C22×C4×C47C2411yescharacteristic
159C2×C22⋊D47—24no—
160C2×C22⋊D47—81no—
161C2×C22⋊D47—81no—
162C22×Dic47—21no—
163C22×Dic47—21no—
164C22×Dic47—21no—
165C2×D188—21no—
166C2×D188—21no—
167C2×D188—21no—
168C2×D188—21no—
169C2×D188—21no—
170C2×D188C22×C412yes—
171C2×C4×D47—24no—
172C2×C4×D47—81no—
173C2×C4×D47—81no—
174C2×Dic94—21no—
175C2×Dic94—21no—
176C2×Dic94—21no—
177C2×Dic94—21no—
178C2×Dic94—21no—
179C2×Dic94—24no—
180C2×Dic94—81no—
181C2×Dic94—81no—
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—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—81no—
192C4⋊C4×C47—81no—
193C4⋊C4×C47C22⋊C414yes—
194C4⋊C4×C47C22⋊C414yes—
195C22⋊C4×C47—81no—
196C22⋊C4×C47—81no—
197C22⋊C4×C47C22⋊C414yes—
198C22⋊C4×C47C22⋊C414yes—
199C42×C47—81no—
200C42×C47—81no—
201C42×C47C22×C412yes—
202C42×C47C22×C412yes—
203C42×C47C2×D412yes—
204C42×C47C2×D412yes—
205C22⋊Dic47—24no—
206(C2×D47)⋊C4—24no—
207(C2×D47)⋊C4—24no—
208(C2×D47)⋊C4—24no—
209(C2×D47)⋊C4—24no—
210C4⋊Dic47—24no—
211C4⋊Dic47—21no—
212C4⋊Dic47—21no—
213C4⋊Dic47C22×C412yes—
214C4⋊Dic47C22×C412yes—
215Dic47⋊C4—24no—
216Dic47⋊C4—24no—
217C4×Dic47—24no—
218#10625329—28no—
219C2×C47⋊C8—28no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8#4112yes—
229C2×C47⋊C8#4112yes—
230C2×C47⋊C8#4112yes—
231C2×C47⋊C8#4112yes—
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47C2×C22⋊C412yes—
239C23×C47C22×D411yescharacteristic
240C22×D47—22no—
241C22×D47—41no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245C22×D47—41no—
246C22×D47—41no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
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×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47C2×C22⋊C412yes—
274C2×C4×C47C2×C22⋊C412yes—
275C2×C4×C47C2×C22⋊C412yes—
276C2×C4×C47C2×C22⋊C412yes—
277C2×C4×C47C2×C22⋊C412yes—
278C2×C4×C47C23×C411yescharacteristic
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C2×#4111yescharacteristic
281C2×C4×C47C2×#4111yescharacteristic
282C2×C4×C47C2×#4111yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C22⋊D47—84no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294D188—22no—
295D188—22no—
296D188—41no—
297D188—41no—
298C4×D47—84no—
299Dic94—22no—
300Dic94—22no—
301Dic94—41no—
302Dic94—41no—
303Dic94—84no—
304C47⋊C8—22no—
305C47⋊C8—22no—
306C47⋊C8—22no—
307C47⋊C8—22no—
308#21412—471nomaximal, Sylow
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—41no—
313C22×C47—41no—
314C22×C47—41no—
315C22×C47—41no—
316C22×C47C22×C22⋊C411yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47#53211yescharacteristic
319C22×C47#57611yescharacteristic
320C22×C47#57711yescharacteristic
321C22×C47#57711yescharacteristic
322C22×C47#57811yescharacteristic
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—81no—
327C2×D47—81no—
328C2×D47—81no—
329C2×D47—81no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47—81no—
336C4×C47—81no—
337C4×C47—81no—
338C4×C47—81no—
339C4×C47C4×#4111yescharacteristic
340C4×C47C4×#4111yescharacteristic
341C4×C47#52511yescharacteristic
342C4×C47#52511yescharacteristic
343Dic47—42no—
344Dic47—42no—
345Dic47—42no—
346C2×#542—471no—
347C2×#405—471no—
348#2314D4711yescharacteristic, complemented
349#1993—471no—
350#1990—471no—
351#1959—471no—
352#1958—471no—
353#1895—471no—
354#1894—471no—
355#1893—471no—
356#1892—471no—
357#1763—471no—
358#1762—471no—
359C4×#103—471no—
360C4×#102—471no—
361C2×C47—42no—
362C2×C47#229711yescharacteristic
363C2×C47#289711yescharacteristic
364C2×C47#289811yescharacteristic
365C2×C47#317311yescharacteristic
366C2×C47#317511yescharacteristic
367C2×C47#317811yescharacteristic
368C2×C47#317911yescharacteristic
369D47—82no—
370C22×M16—471no—
371C23×C8—471no—
372#542—478no—
373#542—944no—
374C2×C4⋊Q8—471no—
375C2×#126—941no—
376C2×#124—471no—
377C2×#124—941no—
378C2×#123—941no—
379C2×C22⋊Q8—471no—
380C2×C22⋊Q8—941no—
381C2×#121—471no—
382C2×C4×Q8—471no—
383C2×C4×D4—471no—
384C2×#117C2×D4711yescharacteristic
385C2×#103—471no—
386C2×#103—471no—
387C2×#103—471no—
388C2×#103—471no—
389C2×#102—471no—
390C2×#102—471no—
391C2×#102—471no—
392C2×#102—471no—
393#405—944no—
394C2×#97—471no—
395C2×#97—471no—
396C2×C4×C8—471no—
397C2×C4×C8—471no—
398#388—21no—
399#388—21no—
400#387—21no—
401#387—21no—
402#384C2×D4711yescharacteristic
403#382C2×D4711yescharacteristic
404#380C2×D4711yescharacteristic
405#380C2×D4711yescharacteristic
406C4×C4⋊C4C2×D4711yescharacteristic
407C4×C4⋊C4C2×D4711yescharacteristic
408#340—471no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415#340—471no—
416C47#2141211yescharacteristic, complemented, Sylow
417C22×Q8—471no—
418C22×Q8—941no—
419C22×D4—471no—
420C22×D4—941no—
421C23×C4—941no—
422C23×C4C22×D4711yescharacteristic
423C2×M16—942no—
424C2×M16—942no—
425C2×M16—942no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—471no—
429C22×C8—471no—
430C22×C8—942no—
431C22×C8—942no—
432C22×C8—942no—
433C4⋊Q8—474no—
434C4⋊Q8—942no—
435#126—948no—
436#124—474no—
437#124—948no—
438#124—942no—
439#123—948no—
440C22⋊Q8—474no—
441C22⋊Q8—942no—
442C22⋊Q8—948no—
443#121—474no—
444#121—942no—
445C4×Q8—474no—
446C4×Q8—942no—
447C4×D4—474no—
448C4×D4—942no—
449#117C4×D4714yes—
450#117D18814yes—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—941no—
456C2×C4⋊C4—941no—
457C2×C4⋊C4—941no—
458C2×C4⋊C4C22⋊D4711yescharacteristic
459C2×C4⋊C4C22⋊D4711yescharacteristic
460C2×C4⋊C4C22×D4711yescharacteristic
461C2×C4⋊C4C22×D4711yescharacteristic
462C2×C4⋊C4C22×D4711yescharacteristic
463C2×C4⋊C4C22×D4711yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—941no—
467C2×C22⋊C4—941no—
468C2×C22⋊C4—941no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4C22⋊D4711yescharacteristic
472C2×C22⋊C4C22⋊D4711yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—941no—
476C2×C42C22×D4711yescharacteristic
477C2×C42C22×D4711yescharacteristic
478#103—942no—
479#103—942no—
480#103—942no—
481#103—942no—
482#102—942no—
483#102—942no—
484#102—942no—
485#102—942no—
486#97—942no—
487#97—942no—
488C4×C8—942no—
489C4×C8—942no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496C24—941no—
497C24C2×C22⋊D4711yescharacteristic
498C2×Q8—472no—
499C2×Q8—944no—
500C2×Q8—941no—
501C2×Q8—941no—
502C2×Q8—941no—
503C2×Q8—941no—
504C2×Q8—941no—
505C2×Q8—3761no—
506C2×Q8—3761no—
507C2×D4—472no—
508C2×D4—944no—
509C2×D4—941no—
510C2×D4—941no—
511C2×D4—941no—
512C2×D4—941no—
513C2×D4—941no—
514C2×D4—3761no—
515C2×D4—3761no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4—944no—
528C22×C4—3761no—
529C22×C4—3761no—
530C22×C4C2×C4×D4712yes—
531C22×C4C2×D18812yes—
532C22×C4C2×C22⋊D4711yescharacteristic
533C22×C4C2×C22⋊D4711yescharacteristic
534C22×C4C2×C22⋊D4711yescharacteristic
535C22×C4C2×C22⋊D4711yescharacteristic
536C22×C4C2×C22⋊D4711yescharacteristic
537C22×C4C23×D4711yescharacteristic
538M16—948no—
539C2×C8—472no—
540C2×C8—472no—
541C2×C8—472no—
542C2×C8—472no—
543C2×C8—948no—
544C2×C8—941no—
545C2×C8—941no—
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—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—472no—
563C4⋊C4—472no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—944no—
567C4⋊C4—941no—
568C4⋊C4—941no—
569C4⋊C4(C2×D47)⋊C414yes—
570C4⋊C4(C2×D47)⋊C414yes—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C22⋊C4—944no—
576C22⋊C4—944no—
577C22⋊C4—944no—
578C22⋊C4(C2×D47)⋊C414yes—
579C22⋊C4(C2×D47)⋊C414yes—
580C42—81no—
581C42—81no—
582C42—944no—
583C42C2×C4×D4712yes—
584C42C2×C4×D4712yes—
585C42C2×D18812yes—
586C42C2×D18812yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—942no—
594C23—1881no—
595C23—1881no—
596C23—1881no—
597C23—1881no—
598C23—1881no—
599C23—1881no—
600C23C2×(C2×D47)⋊C412yes—
601C23C22×C22⋊D4711yescharacteristic
602Q8—942no—
603Q8—942no—
604Q8—3764no—
605Q8—1881no—
606Q8—1881no—
607D4—942no—
608D4—942no—
609D4—3764no—
610D4—1881no—
611D4—1881no—
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—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—942no—
639C2×C4—942no—
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×C4C2×(C2×D47)⋊C412yes—
649C2×C4C2×(C2×D47)⋊C412yes—
650C2×C4C2×(C2×D47)⋊C412yes—
651C2×C4C2×(C2×D47)⋊C412yes—
652C2×C4C2×(C2×D47)⋊C412yes—
653C2×C4C22×C4×D4711yescharacteristic
654C2×C4C22×D18811yescharacteristic
655C2×C4#41×D4711yescharacteristic
656C2×C4#41×D4711yescharacteristic
657C2×C4#41×D4711yescharacteristic
658C2×C4#41×D4711yescharacteristic
659C8—942no—
660C8—942no—
661C8—942no—
662C8—942no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—3761no—
671C22—3761no—
672C22—3761no—
673C22—3761no—
674C22—1882no—
675C22—1882no—
676C22—1882no—
677C22C22×(C2×D47)⋊C411yescharacteristic
678C22#1568966911yescharacteristic
679C22#1568966911yescharacteristic
680C22#1568992611yescharacteristic
681C22#1568993111yescharacteristic
682C22#1568993411yescharacteristic
683C22#1568993811yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—1882no—
694C4—1882no—
695C4—1882no—
696C4#1568959111yescharacteristic
697C4#1568959111yescharacteristic
698C4#1568963511yescharacteristic
699C4#1568963511yescharacteristic
700C2—42no—
701C2—3762no—
702C2#2024587611yescharacteristic
703C2#2025191111yescharacteristic
704C2#2025191811yescharacteristic
705C2#2025399911yescharacteristic
706C2#2025402111yescharacteristic
707C2#2025405811yescharacteristic
708C2#2025407311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2314C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
cosocleC22×C4×C47C24
hypercenter#2314D47
hypocenterC47#21412
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#15689079C2semidirect
3. #20244360C2semidirect
4. #20244348C2semidirect
5. #20244202C2semidirect
6. #20244197C2semidirect
8. #20243819C2semidirect
10. #20243809C2semidirect
11. #20243221C2semidirect
12. #20243216C2semidirect
13. C4×#13093947C2semidirect
14. C4×#13093944C2semidirect
15. C47×#2314C2semidirect
19. #15689744C4semidirect
348. #2314D47semidirect
416. C47#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#156897442
C2×#156890792
#202443602
#202443482
#202442022
#202441972
#202438242
#202438192
#202438142
#202438092
#202432212
#202432162
C4×#130939472
C4×#130939442
C47×#23142
#2141247