Finite Group Databasebeta

← #26123231

Subgroups — #26123231

Order 12032.

1326 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093946C211yesmaximal, characteristic
2C22×#13093944C211yesmaximal, characteristic
3C2×#15689024C211yesmaximal, characteristic
4C2×#15688992C211yesmaximal, characteristic, complemented
5C2×#15688885C211yesmaximal, characteristic, complemented
6C2×#15688877C211yesmaximal, characteristic, complemented
7C2×C47×#340C211yesmaximal, characteristic, complemented
8C23×D188C2211yescharacteristic
9C23×C47⋊C8C2211yescharacteristic
10C22×C4⋊Dic47C2211yescharacteristic
11C22×Dic47⋊C4—22no—
12C22×(C2×D47)⋊C4—22no—
13C22×C4×Dic47C2211yescharacteristic
14C2×#13093946—22no—
15C2×#13093946—22no—
16C2×#13093946—22no—
17C2×#13093944—22no—
18C2×#13093944—22no—
19C2×#13093944—22no—
20#15689024—22no—
21#15689024C414yescomplemented
22#15688992—22no—
23#15688992—22no—
24#15688885—22no—
25#15688877—22no—
26C23×C8×C47C2211yescharacteristic
27C22×C4⋊C4×C47C2211yescharacteristic
28C22×C4⋊C4×C47C2211yescharacteristic
29C47×#340—22no—
30C24×D47—21no—
31C22×D188—21no—
32C22×D188—21no—
33C22×D188—21no—
34C22×D188—21no—
35C22×D188—21no—
36C22×D188—21no—
37C22×D188—21no—
38C22×D188—21no—
39C22×D188—21no—
40C22×D188—21no—
41C22×D188—21no—
42C22×D188C2×C412yes—
43C22×D188D412yes—
44C22×D188Q812yes—
45C23×Dic47—21no—
46C23×Dic47D412yes—
47C22×C47⋊C8—21no—
48C22×C47⋊C8—21no—
49C22×C47⋊C8—21no—
50C22×C47⋊C8—21no—
51C22×C47⋊C8—21no—
52C22×C47⋊C8—21no—
53C22×C47⋊C8D412yes—
54C2×C4⋊Dic47—21no—
55C2×C4⋊Dic47—21no—
56C2×C4⋊Dic47—21no—
57C2×C4⋊Dic47—21no—
58C2×C4⋊Dic47—21no—
59C2×C4⋊Dic47D412yes—
60C2×Dic47⋊C4—28no—
61C2×Dic47⋊C4—44no—
62C2×Dic47⋊C4—44no—
63C2×(C2×D47)⋊C4—28no—
64C2×(C2×D47)⋊C4—44no—
65C2×(C2×D47)⋊C4—44no—
66C2×C4×Dic47—21no—
67C2×C4×Dic47—21no—
68C2×C4×Dic47—21no—
69C2×C4×Dic47—21no—
70C2×C4×Dic47C2×C412yes—
71C2×C4×Dic47D412yes—
72#13093946—28no—
73#13093944—28no—
74C23×C4×C47—21no—
75C23×C4×C47—21no—
76C23×C4×C47C2311yescharacteristic
77C22×C8×C47—21no—
78C22×C8×C47—21no—
79C22×C8×C47—21no—
80C22×C8×C47—21no—
81C22×C8×C47—21no—
82C22×C8×C47—21no—
83C22×C8×C47D412yes—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47—21no—
89C2×C4⋊C4×C47—21no—
90C2×C4⋊C4×C47—21no—
91C2×C4⋊C4×C47—21no—
92C2×C4⋊C4×C47—21no—
93C2×C4⋊C4×C47—21no—
94C2×C4⋊C4×C47C2×C412yes—
95C2×C4⋊C4×C47D412yes—
96C24×C47C2×D411yescharacteristic
97C23×D47—22no—
98C23×D47—22no—
99C23×D47—22no—
100C23×D47—41no—
101C23×D47—41no—
102C23×D47—41no—
103C23×D47—41no—
104C23×D47—42no—
105C23×D47—42no—
106C23×D47—42no—
107C23×D47—42no—
108C22×C4×C47—22no—
109C22×C4×C47—22no—
110C22×C4×C47—41no—
111C22×C4×C47—41no—
112C22×C4×C47—41no—
113C22×C4×C47—41no—
114C22×C4×C47—42no—
115C22×C4×C47—42no—
116C22×C4×C47—42no—
117C22×C4×C47—42no—
118C22×C4×C47C22×C411yescharacteristic
119C22×C4×C47C2×D411yescharacteristic
120C22×C4×C47C2×D411yescharacteristic
121C22×C4×C47C2×D411yescharacteristic
122C22×C4×C47C2×D411yescharacteristic
123C22×C4×C47C2×D411yescharacteristic
124C22×C4×C47C2×D411yescharacteristic
125C22×C4×C47C2×Q811yescharacteristic
126C22×C4×C47#4111yescharacteristic
127C22×C4×C47#4111yescharacteristic
128C22×C4×C47#4111yescharacteristic
129C22×C4×C47#4111yescharacteristic
130C22×C4×C47#4111yescharacteristic
131C22×C4×C47#4111yescharacteristic
132C22×Dic47—22no—
133C22×Dic47—22no—
134C22×Dic47—22no—
135C22×Dic47—22no—
136C22×Dic47—22no—
137C22×Dic47—41no—
138C22×Dic47—41no—
139C22×Dic47—42no—
140C22×Dic47—42no—
141C22×Dic47C22⋊C414yes—
142C22×Dic47D814yes—
143C22×Dic47SD1614yes—
144C2×D188—22no—
145C2×D188—22no—
146C2×D188—22no—
147C2×D188—22no—
148C2×D188—22no—
149C2×D188—22no—
150C2×D188—22no—
151C2×D188—22no—
152C2×D188—22no—
153C2×D188—22no—
154C2×D188—22no—
155C2×D188—22no—
156C2×D188—22no—
157C2×D188—22no—
158C2×D188—22no—
159C2×D188—41no—
160C2×D188—41no—
161C2×D188—41no—
162C2×D188—41no—
163C2×D188—41no—
164C2×D188—41no—
165C2×D188—41no—
166C2×D188—41no—
167C2×D188—41no—
168C2×D188—41no—
169C2×D188—41no—
170C2×D188—41no—
171C2×D188C4⋊C414yescomplemented
172C2×C8×C47—22no—
173C2×C8×C47—22no—
174C2×C8×C47—22no—
175C2×C8×C47—41no—
176C2×C8×C47—41no—
177C2×C8×C47—41no—
178C2×C8×C47—41no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—22no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—22no—
183C4⋊C4×C47—41no—
184C4⋊C4×C47—41no—
185C4⋊C4×C47—41no—
186C4⋊C4×C47—41no—
187(C2×D47)⋊C4—416no—
188C4⋊Dic47—22no—
189C4⋊Dic47—22no—
190C4⋊Dic47—41no—
191C4⋊Dic47—41no—
192Dic47⋊C4—416no—
193C4×Dic47—22no—
194C4×Dic47—22no—
195C4×Dic47—22no—
196C4×Dic47—22no—
197C2×C47⋊C8—22no—
198C2×C47⋊C8—22no—
199C2×C47⋊C8—22no—
200C2×C47⋊C8—41no—
201C2×C47⋊C8—41no—
202C2×C47⋊C8—41no—
203C2×C47⋊C8—41no—
204C23×C47C2×C22⋊C411yescharacteristic
205C23×C47#12011yescharacteristic
206C23×C47#12111yescharacteristic
207C23×C47C22⋊Q811yescharacteristic
208C23×C47#12311yescharacteristic
209C23×C47#12411yescharacteristic
210C23×C47#12711yescharacteristic
211C23×C47C2×D812yes—
212C23×C47C2×SD1612yes—
213C23×C47AGL(1,ℤ/8)12yes—
214C23×C47#13712yes—
215C22×D47—24no—
216C22×D47—42no—
217C22×D47—42no—
218C22×D47—42no—
219C22×D47—42no—
220C22×D47—42no—
221C22×D47—42no—
222C22×D47—44no—
223C22×D47—44no—
224C22×D47—44no—
225C22×D47—44no—
226C22×D47—44no—
227C22×D47—44no—
228C22×D47—82no—
229C22×D47—82no—
230C22×D47—82no—
231C22×D47—82no—
232C22×D47—82no—
233C22×D47—82no—
234C22×D47—81no—
235C22×D47—81no—
236C22×D47—81no—
237C22×D47—81no—
238C2×C4×C47—42no—
239C2×C4×C47—42no—
240C2×C4×C47—44no—
241C2×C4×C47—44no—
242C2×C4×C47—82no—
243C2×C4×C47—82no—
244C2×C4×C47—81no—
245C2×C4×C47—81no—
246C2×C4×C47—81no—
247C2×C4×C47—81no—
248C2×C4×C47C2×C4⋊C411yescharacteristic
249C2×C4×C47#11711yescharacteristic
250C2×C4×C47C4×D411yescharacteristic
251C2×C4×C47C4×D411yescharacteristic
252C2×C4×C47C4×D411yescharacteristic
253C2×C4×C47C4×D411yescharacteristic
254C2×C4×C47#12011yescharacteristic
255C2×C4×C47#12011yescharacteristic
256C2×C4×C47#12111yescharacteristic
257C2×C4×C47#12111yescharacteristic
258C2×C4×C47#12111yescharacteristic
259C2×C4×C47#12111yescharacteristic
260C2×C4×C47#12111yescharacteristic
261C2×C4×C47#12111yescharacteristic
262C2×C4×C47#12111yescharacteristic
263C2×C4×C47C22⋊Q811yescharacteristic
264C2×C4×C47C22⋊Q811yescharacteristic
265C2×C4×C47C22⋊Q811yescharacteristic
266C2×C4×C47C22⋊Q811yescharacteristic
267C2×C4×C47C22⋊Q811yescharacteristic
268C2×C4×C47#12311yescharacteristic
269C2×C4×C47#12311yescharacteristic
270C2×C4×C47#12311yescharacteristic
271C2×C4×C47#12311yescharacteristic
272C2×C4×C47#12411yescharacteristic
273C2×C4×C47#12411yescharacteristic
274C2×C4×C47#12611yescharacteristic
275C2×C4×C47#12611yescharacteristic
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—42no—
283C2×Dic47—44no—
284C2×Dic47—82no—
285C2×Dic47—81no—
286C2×Dic47—81no—
287C2×Dic47#10218yescomplemented
288D188—24no—
289D188—24no—
290D188—42no—
291D188—42no—
292D188—42no—
293D188—42no—
294D188—42no—
295D188—42no—
296C8×C47—42no—
297C47⋊C8—42no—
298#11049—471nomaximal, Sylow
299C22×C47#38011yescharacteristic
300C22×C47#38611yescharacteristic
301C22×C47#39011yescharacteristic
302C22×C47#39211yescharacteristic
303C22×C47#39311yescharacteristic
304C22×C47#39711yescharacteristic
305C22×C47#39911yescharacteristic
306C22×C47C2×#10212yes—
307C22×C47#41712yes—
308C22×C47#44712yes—
309C22×C47#44812yes—
310C22×C47#45912yes—
311C22×C47#46112yes—
312C22×C47#47412yes—
313C22×C47#47612yes—
314C22×C47#48012yes—
315C22×C47#48112yes—
316C22×C47#48612yes—
317C22×C47#48912yes—
318C22×C47#49211yescharacteristic
319C22×C47#49311yescharacteristic
320C22×C47#49611yescharacteristic
321C22×C47#49711yescharacteristic
322C2×D47—48no—
323C2×D47—44no—
324C2×D47—84no—
325C2×D47—82no—
326C2×D47—82no—
327C2×D47—84no—
328C2×D47—82no—
329C2×D47—82no—
330C2×D47—82no—
331C2×D47—82no—
332C2×D47—84no—
333C4×C47—82no—
334C4×C47—82no—
335C4×C47#38511yescharacteristic
336C4×C47#38511yescharacteristic
337C4×C47#38811yescharacteristic
338C4×C47#38811yescharacteristic
339C4×C47#39411yescharacteristic
340C4×C47#39411yescharacteristic
341C4×C47#39611yescharacteristic
342C4×C47#39611yescharacteristic
343Dic47—28no—
344Dic47—82no—
345C22×#102—471no—
346C22×#102—471no—
347C2×#390—471no—
348C2×#384—471no—
349C2×#340—471no—
350C2×#340D4711yescharacteristic, complemented
351C2×#336—471no—
352C2×C47#143911yescharacteristic
353C2×C47#180212yes—
354C2×C47#187412yes—
355C2×C47#195711yescharacteristic
356C2×C47#195911yescharacteristic
357C2×C47#201111yescharacteristic
358C2×C47#201311yescharacteristic
359C2×C47#202312yes—
360C2×C47#207112yes—
361C2×C47#209311yescharacteristic
362C2×C47#209411yescharacteristic
363D47—84no—
364C23×D4—471no—
365C23×C8—471no—
366C23×C8C2×D4711yescharacteristic
367C22×C4⋊C4—471no—
368C22×C4⋊C4—942no—
369C22×C4⋊C4C2×D4711yescharacteristic
370C22×C4⋊C4C2×D4711yescharacteristic
371C22×C22⋊C4—942no—
372C22×C42—471no—
373C2×#102—942no—
374C2×#102—942no—
375C2×#102—942no—
376C2×#102—942no—
377C2×#102—942no—
378C2×#102—942no—
379#390—474no—
380#390—942no—
381#384—942no—
382#384—942no—
383#340—22no—
384#340—942no—
385#336—942no—
386C47#1104911yescharacteristic, complemented, Sylow
387C25—941no—
388C22×D4—472no—
389C22×D4—472no—
390C22×D4—472no—
391C22×D4—941no—
392C22×D4—941no—
393C22×D4—941no—
394C22×D4—941no—
395C22×D4—941no—
396C22×D4—941no—
397C22×D4—941no—
398C22×D4—941no—
399C22×D4—941no—
400C22×D4—941no—
401C22×D4—941no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—472no—
405C23×C4—941no—
406C23×C4C22×D4711yescharacteristic
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—21no—
410C22×C8—21no—
411C22×C8—21no—
412C22×C8—21no—
413C22×C8—472no—
414C22×C8—941no—
415C22×C8—941no—
416C22×C8—941no—
417C22×C8—941no—
418C22×C8—941no—
419C22×C8—941no—
420C22×C8C22⋊D4712yes—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—472no—
432C2×C4⋊C4—941no—
433C2×C4⋊C4—941no—
434C2×C4⋊C4—941no—
435C2×C4⋊C4—941no—
436C2×C4⋊C4—948no—
437C2×C4⋊C4—941no—
438C2×C4⋊C4—1884no—
439C2×C4⋊C4—1884no—
440C2×C4⋊C4C4×D4712yes—
441C2×C4⋊C4D18812yes—
442C2×C22⋊C4—948no—
443C2×C22⋊C4—1884no—
444C2×C22⋊C4—1884no—
445C2×C42—472no—
446C2×C42—472no—
447C2×C42—941no—
448C2×C42—941no—
449C2×C42—941no—
450C2×C42—941no—
451#102—948no—
452#102—948no—
453C24—942no—
454C24—942no—
455C24—942no—
456C24—1881no—
457C24—1881no—
458C24—1881no—
459C24—1881no—
460C24—1882no—
461C24—1882no—
462C24—1882no—
463C24—1882no—
464C24D4×D4711yescharacteristic
465C2×D4—474no—
466C2×D4—942no—
467C2×D4—942no—
468C2×D4—942no—
469C2×D4—942no—
470C2×D4—942no—
471C2×D4—942no—
472C2×D4—942no—
473C2×D4—942no—
474C2×D4—942no—
475C2×D4—942no—
476C2×D4—942no—
477C2×D4—942no—
478C2×D4—942no—
479C2×D4—942no—
480C2×D4—942no—
481C2×D4—1881no—
482C2×D4—1881no—
483C2×D4—1881no—
484C2×D4—1881no—
485C2×D4—1881no—
486C2×D4—1881no—
487C2×D4—1881no—
488C2×D4—1881no—
489C2×D4—1881no—
490C2×D4—1881no—
491C2×D4—1881no—
492C2×D4—1881no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—474no—
504C22×C4—474no—
505C22×C4—474no—
506C22×C4—942no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—1881no—
512C22×C4—1881no—
513C22×C4—1882no—
514C22×C4—1882no—
515C22×C4C2×C4×D4711yescharacteristic
516C22×C4C2×D18811yescharacteristic
517C22×C4#1062535011yescharacteristic
518C22×C4#1062535011yescharacteristic
519C22×C4#1062535011yescharacteristic
520C22×C4#1062535011yescharacteristic
521C22×C4D4×D4711yescharacteristic
522C22×C4D4×D4711yescharacteristic
523C22×C4D4×D4711yescharacteristic
524C22×C4D4×D4711yescharacteristic
525C22×C4#1062535211yescharacteristic
526C22×C4Q8×D4711yescharacteristic
527C22×C4#1062535411yescharacteristic
528C22×C4C2×C22⋊D4711yescharacteristic
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—41no—
536C2×C8—942no—
537C2×C8—942no—
538C2×C8—942no—
539C2×C8—1881no—
540C2×C8—1881no—
541C2×C8—1881no—
542C2×C8—1881no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4—942no—
552C4⋊C4—942no—
553C4⋊C4—18816no—
554C4⋊C4—1881no—
555C4⋊C4—1881no—
556C22⋊C4—18816no—
557C42—942no—
558C42—942no—
559C42—942no—
560C42—942no—
561C23—944no—
562C23—3762no—
563C23—3761no—
564C23—3761no—
565C23—3761no—
566C23—3762no—
567C23—3761no—
568C23—3762no—
569C23—3762no—
570C23—3762no—
571C23—3762no—
572C23—1882no—
573C23—1882no—
574C23—1882no—
575C23—1882no—
576C23—1882no—
577C23—1882no—
578C23—1884no—
579C23—1884no—
580C23—1884no—
581C23—1884no—
582C23—1884no—
583C23—1884no—
584C23C22⋊C4×D4711yescharacteristic
585C23#1309399411yescharacteristic
586C23#1309399711yescharacteristic
587C23#1309400211yescharacteristic
588C23#1309400911yescharacteristic
589C23#1309401011yescharacteristic
590C23#1309402011yescharacteristic
591C23D8×D4712yes—
592C23SD16×D4712yes—
593C23#1309405112yes—
594C23#1309405612yes—
595D4—944no—
596D4—944no—
597D4—1882no—
598D4—1882no—
599D4—1882no—
600D4—1882no—
601D4—1882no—
602D4—1882no—
603C2×C4—44no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—44no—
607C2×C4—81no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—82no—
612C2×C4—82no—
613C2×C4—478no—
614C2×C4—944no—
615C2×C4—944no—
616C2×C4—944no—
617C2×C4—944no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—3761no—
621C2×C4—3761no—
622C2×C4—3762no—
623C2×C4—1884no—
624C2×C4—1882no—
625C2×C4C4⋊C4×D4711yescharacteristic
626C2×C4#1309398111yescharacteristic
627C2×C4(C22⋊D47)⋊C411yescharacteristic
628C2×C4C4×C22⋊D4711yescharacteristic
629C2×C4#1309398611yescharacteristic
630C2×C4C4×D18811yescharacteristic
631C2×C4#1309399211yescharacteristic
632C2×C4#1309399411yescharacteristic
633C2×C4#1309399611yescharacteristic
634C2×C4#1309399711yescharacteristic
635C2×C4#1309399711yescharacteristic
636C2×C4#1309399711yescharacteristic
637C2×C4#1309399711yescharacteristic
638C2×C4#1309399811yescharacteristic
639C2×C4#1309399911yescharacteristic
640C2×C4#1309400011yescharacteristic
641C2×C4#1309400211yescharacteristic
642C2×C4#1309400211yescharacteristic
643C2×C4#1309400211yescharacteristic
644C2×C4#1309400411yescharacteristic
645C2×C4#1309400611yescharacteristic
646C2×C4#1309400711yescharacteristic
647C2×C4#1309400911yescharacteristic
648C2×C4#1309400911yescharacteristic
649C2×C4#1309401011yescharacteristic
650C2×C4#1309401211yescharacteristic
651C2×C4#1309401811yescharacteristic
652C2×C4#1309401911yescharacteristic
653C8—42no—
654C8—1882no—
655C22—3764no—
656C22—3764no—
657C22—3762no—
658C22—3762no—
659C22—3762no—
660C22—3762no—
661C22—3762no—
662C22—3764no—
663C22—3762no—
664C22—1888no—
665C22—1884no—
666C22#1568898211yescharacteristic
667C22#1568900111yescharacteristic
668C22#1568902311yescharacteristic
669C22#1568903211yescharacteristic
670C22#1568903611yescharacteristic
671C22#1568905211yescharacteristic
672C22#1568905811yescharacteristic
673C22#102×D4712yes—
674C22#1568912312yes—
675C22#1568925812yes—
676C22#1568926312yes—
677C22#1568931712yes—
678C22#1568932712yes—
679C22#1568940212yes—
680C22#1568941212yes—
681C22#1568943812yes—
682C22#1568944312yes—
683C22#1568946812yes—
684C22#1568948412yes—
685C22#1568949411yescharacteristic
686C22#1568949811yescharacteristic
687C22#1568950911yescharacteristic
688C22#1568951611yescharacteristic
689C4—82no—
690C4—82no—
691C4—948no—
692C4—3762no—
693C4#1568899411yescharacteristic
694C4#1568899711yescharacteristic
695C4#1568901211yescharacteristic
696C4#1568901411yescharacteristic
697C4#1568903811yescharacteristic
698C4#1568904111yescharacteristic
699C4#1568904511yescharacteristic
700C4#1568904711yescharacteristic
701C2—3764no—
702C2#2024163211yescharacteristic
703C2#2024338712yes—
704C2#2024370412yes—
705C2#2024419211yescharacteristic
706C2#2024420111yescharacteristic
707C2#2024446011yescharacteristic
708C2#2024447211yescharacteristic
709C2#2024452312yes—
710C2#2024479512yes—
711C2#2024491311yescharacteristic
712C2#2024491811yescharacteristic
subgroupG/H
centerC24D4×D47
commutatorC22×C4×C47C22×C4
FrattiniC23×C4C22×D47
FittingC2×C47×#340C2
socleC24×C47C2×D4
prime radicalC23×D188C22
cosocleC23×C4×C47C23
hypercenterC2×#340D47
hypocenterC47#11049
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
4. C2×#15688992C2semidirect
5. C2×#15688885C2semidirect
6. C2×#15688877C2semidirect
7. C2×C47×#340C2semidirect
21. #15689024C4semidirect
171. C2×D188C4⋊C4semidirect
287. C2×Dic47#102semidirect
350. C2×#340D47semidirect
386. C47#11049semidirect

Maximal subgroups

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

subgroupindex
C22×#130939462
C22×#130939442
C2×#156890242
C2×#156889922
C2×#156888852
C2×#156888772
C2×C47×#3402
#1104947