Finite Group Databasebeta

← #26147529

Subgroups — #26147529

Order 12032.

3366 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×#13093999C211yesmaximal, characteristic
2C22×C42×D47C211yesmaximal, characteristic, complemented
3C2×#15689025C211yesmaximal, characteristic, complemented
4C2×#15689024C211yesmaximal, characteristic, complemented
5C2×#15689001C214yesmaximal, complemented
6C2×#15688980C211yesmaximal, characteristic, complemented
7#20241624C214yesmaximal, complemented
8#20241617C211yesmaximal, characteristic, complemented
9C47×C4⋊#95C211yesmaximal, characteristic, complemented
10C23×D188C2212yes—
11C23×D188C2211yescharacteristic
12C23×C4×D47C2212yes—
13C23×C4×D47C2211yescharacteristic
14C2×#13093999—24no—
15C2×#13093999—24no—
16C2×#13093999C418yescomplemented
17C22×C4⋊Dic47C2211yescharacteristic
18C22×(C2×D47)⋊C4C2212yes—
19C22×(C2×D47)⋊C4C2214yes—
20C22×(C2×D47)⋊C4C2214yes—
21C22×(C2×D47)⋊C4C2212yes—
22C22×C4×Dic47C2212yes—
23C22×C4×Dic47C2211yescharacteristic
24C2×C42×D47—24no—
25C2×C42×D47—24no—
26C2×C42×D47—24no—
27#15689025—24no—
28#15689024—24no—
29#15689001—216no—
30#15688980—24no—
31C2×C47⋊#95C2214yes—
32C2×C47⋊#95C2212yes—
33C22×C4⋊C4×C47C2211yescharacteristic
34C22×C4⋊C4×C47C2211yescharacteristic
35C22×C42×C47C2211yescharacteristic
36C2×#95×C47C2214yes—
37C24×D47C2312yes—
38C24×D47C2311yescharacteristic
39C22×D188—28no—
40C22×D188—24no—
41C22×D188—24no—
42C22×D188—28no—
43C22×D188—22no—
44C22×D188—22no—
45C22×D188—22no—
46C22×D188—22no—
47C22×D188—22no—
48C22×D188—22no—
49C22×D188C2×C418yes—
50C22×D188C2×C414yescomplemented
51C23×Dic47C2312yes—
52C23×Dic47C2311yescharacteristic
53C23×Dic47C2312yes—
54C22×C4×D47—24no—
55C22×C4×D47—24no—
56C22×C4×D47—24no—
57C22×C4×D47—22no—
58C22×C4×D47—22no—
59C22×C4×D47—24no—
60C22×C4×D47—22no—
61C22×C4×D47—22no—
62C22×C4×D47—24no—
63C22×C4×D47—24no—
64C22×C4×D47C2×C414yes—
65C22×C4×D47D414yes—
66C22×C4×D47D414yes—
67C22×C4×D47D418yescomplemented
68#13093999—232no—
69C2×C4⋊Dic47—22no—
70C2×C4⋊Dic47—22no—
71C2×C4⋊Dic47—22no—
72C2×(C2×D47)⋊C4—24no—
73C2×(C2×D47)⋊C4—24no—
74C2×(C2×D47)⋊C4—24no—
75C2×(C2×D47)⋊C4—28no—
76C2×(C2×D47)⋊C4—28no—
77C2×(C2×D47)⋊C4—28no—
78C2×(C2×D47)⋊C4—28no—
79C2×(C2×D47)⋊C4—28no—
80C2×(C2×D47)⋊C4—28no—
81C2×(C2×D47)⋊C4—28no—
82C2×(C2×D47)⋊C4C2×C418yescomplemented
83C2×C4×Dic47—24no—
84C2×C4×Dic47—22no—
85C2×C4×Dic47—22no—
86C2×C4×Dic47—24no—
87C2×C4×Dic47—24no—
88C2×C4×Dic47D414yescomplemented
89C42×D47—232no—
90C47⋊#95—24no—
91C47⋊#95—28no—
92C23×C4×C47C2312yes—
93C23×C4×C47C2312yes—
94C23×C4×C47C2312yes—
95C23×C4×C47C2311yescharacteristic
96C2×C4⋊C4×C47—22no—
97C2×C4⋊C4×C47—22no—
98C2×C4⋊C4×C47—22no—
99C2×C4⋊C4×C47—22no—
100C2×C4⋊C4×C47—22no—
101C2×C4⋊C4×C47C2×C414yescomplemented
102C2×C42×C47—22no—
103C2×C42×C47—22no—
104C2×C42×C47D414yescomplemented
105#95×C47—28no—
106C24×C47C2411yescharacteristic
107C23×D47—21no—
108C23×D47—21no—
109C23×D47—21no—
110C23×D47—21no—
111C23×D47—22no—
112C23×D47—22no—
113C23×D47—22no—
114C23×D47—22no—
115C23×D47—24no—
116C23×D47—22no—
117C23×D47—22no—
118C23×D47—24no—
119C23×D47—24no—
120C23×D47—22no—
121C23×D47—22no—
122C23×D47—24no—
123C23×D47C22×C414yes—
124C23×D47C22×C412yes—
125C23×D47C2×D412yes—
126C23×D47C2×D412yes—
127C23×D47C2×D414yes—
128C23×D47#4114yes—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—22no—
133C22×C4×C47—22no—
134C22×C4×C47—22no—
135C22×C4×C47—24no—
136C22×C4×C47—24no—
137C22×C4×C47—22no—
138C22×C4×C47—22no—
139C22×C4×C47—24no—
140C22×C4×C47—22no—
141C22×C4×C47—24no—
142C22×C4×C47C22×C414yes—
143C22×C4×C47C22×C412yes—
144C22×C4×C47C2×D414yes—
145C22×C4×C47C2×D414yes—
146C22×C4×C47C2×D412yes—
147C22×C4×C47C2×D412yes—
148C22×C4×C47C2×D412yes—
149C22×C4×C47C2×D412yes—
150C22×C4×C47#4114yes—
151C22×C4×C47#4112yes—
152C22×C4×C47#4112yes—
153C22×Dic47—21no—
154C22×Dic47—21no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—24no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—24no—
165C22×Dic47—22no—
166C22×Dic47C22×C412yes—
167C22×Dic47C2×D412yes—
168C22×Dic47C2×D412yes—
169C22×Dic47C2×D414yes—
170C22×Dic47C2×D414yes—
171C22×Dic47#4114yes—
172C2×D188—216no—
173C2×D188—232no—
174C2×D188—28no—
175C2×D188—28no—
176C2×D188—28no—
177C2×D188—416no—
178C2×D188—48no—
179C2×D188—48no—
180C2×D188—44no—
181C2×D188—44no—
182C2×D188—44no—
183C2×D188—44no—
184C2×C4×D47—216no—
185C2×C4×D47—216no—
186C2×C4×D47—216no—
187C2×C4×D47—216no—
188C2×C4×D47—216no—
189C2×C4×D47—28no—
190C2×C4×D47—28no—
191C2×C4×D47—28no—
192C2×C4×D47—28no—
193C2×C4×D47—28no—
194C2×C4×D47—216no—
195C2×C4×D47—28no—
196C2×C4×D47—216no—
197C2×C4×D47C22⋊C4116yescomplemented
198C4⋊C4×C47—28no—
199C4⋊C4×C47—44no—
200C42×C47—28no—
201(C2×D47)⋊C4—216no—
202(C2×D47)⋊C4—48no—
203(C2×D47)⋊C4—416no—
204(C2×D47)⋊C4—416no—
205C4⋊Dic47—44no—
206C4×Dic47—216no—
207C4×Dic47—28no—
208C23×C47C23×C411yescharacteristic
209C23×C47C22×D411yescharacteristic
210C23×C47C22×D411yescharacteristic
211C23×C47C22×D411yescharacteristic
212C23×C47C22×D412yes—
213C23×C47C22×D411yescharacteristic
214C23×C47C2×#4112yes—
215C23×C47C2×#4112yes—
216C23×C47C2×#4111yescharacteristic
217C23×C47C2×#4111yescharacteristic
218C23×C47C2×#4112yes—
219C22×D47—22no—
220C22×D47—22no—
221C22×D47—24no—
222C22×D47—22no—
223C22×D47—24no—
224C22×D47—22no—
225C22×D47—24no—
226C22×D47—22no—
227C22×D47—22no—
228C22×D47—24no—
229C22×D47—24no—
230C22×D47—24no—
231C22×D47—24no—
232C22×D47—24no—
233C22×D47—24no—
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—24no—
237C22×D47—24no—
238C22×D47—28no—
239C22×D47—24no—
240C22×D47—24no—
241C22×D47—28no—
242C22×D47—42no—
243C22×D47—44no—
244C22×D47—44no—
245C22×D47—44no—
246C22×D47—42no—
247C22×D47—42no—
248C22×D47—42no—
249C22×D47—44no—
250C22×D47—44no—
251C22×D47—44no—
252C22×D47—42no—
253C22×D47—44no—
254C22×D47—44no—
255C22×D47—42no—
256C22×D47—44no—
257C22×D47—42no—
258C22×D47—42no—
259C22×D47—44no—
260C22×D47C2×C22⋊C414yes—
261C22×D47C4×D418yes—
262C22×D47#12118yes—
263C22×D47#12414yes—
264C22×D47#12714yes—
265C2×C4×C47—24no—
266C2×C4×C47—24no—
267C2×C4×C47—24no—
268C2×C4×C47—24no—
269C2×C4×C47—24no—
270C2×C4×C47—24no—
271C2×C4×C47—24no—
272C2×C4×C47—28no—
273C2×C4×C47—44no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—44no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47—44no—
280C2×C4×C47—42no—
281C2×C4×C47C2×C22⋊C414yes—
282C2×C4×C47C4×D414yes—
283C2×C4×C47C4×D414yes—
284C2×C4×C47#12014yes—
285C2×C4×C47#12114yes—
286C2×C4×C47#12114yes—
287C2×C4×C47#12118yescomplemented
288C2×C4×C47#12314yes—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—24no—
292C2×Dic47—22no—
293C2×Dic47—24no—
294C2×Dic47—22no—
295C2×Dic47—24no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—24no—
299C2×Dic47—24no—
300C2×Dic47—24no—
301C2×Dic47—42no—
302C2×Dic47—44no—
303C2×Dic47—42no—
304C2×Dic47—42no—
305C2×Dic47—44no—
306C2×Dic47C2×C22⋊C414yes—
307C2×Dic47#12118yescomplemented
308D188—432no—
309D188—416no—
310C4×D47—264no—
311C4×D47—232no—
312#14698—471nomaximal, Sylow
313C22×C47C22×C22⋊C411yescharacteristic
314C22×C47C2×C4×D412yes—
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×C4×D411yescharacteristic
317C22×C47C4×#4112yes—
318C22×C47C2×#12011yescharacteristic
319C22×C47C2×#12112yes—
320C22×C47C2×#12112yes—
321C22×C47C2×#12111yescharacteristic
322C22×C47C2×#12112yes—
323C22×C47C2×#12111yescharacteristic
324C22×C47C2×#12311yescharacteristic
325C22×C47#52512yes—
326C22×C47#52512yes—
327C22×C47#52512yes—
328C22×C47C2×#12411yescharacteristic
329C22×C47#52912yes—
330C22×C47#52912yes—
331C22×C47C2×#12711yescharacteristic
332C22×C47#53212yes—
333C22×C47#53211yescharacteristic
334C22×C47#53211yescharacteristic
335C22×C47#53212yes—
336C2×D47—28no—
337C2×D47—24no—
338C2×D47—24no—
339C2×D47—28no—
340C2×D47—24no—
341C2×D47—24no—
342C2×D47—24no—
343C2×D47—24no—
344C2×D47—28no—
345C2×D47—28no—
346C2×D47—44no—
347C2×D47—44no—
348C2×D47—44no—
349C2×D47—48no—
350C2×D47—48no—
351C2×D47—84no—
352C2×D47—82no—
353C2×D47—82no—
354C2×D47—84no—
355C2×D47—82no—
356C2×D47—82no—
357C2×D47#39018yescomplemented
358C4×C47—28no—
359C4×C47—44no—
360C4×C47—82no—
361C4×C47#38618yescomplemented
362Dic47—28no—
363Dic47—24no—
364Dic47—82no—
365C22×#121—471no—
366C23×C42—471no—
367C2×#390—471no—
368C2×#390—471no—
369C2×#386—474no—
370C2×#380—471no—
371#1437—474no—
372C4⋊#95—471no—
373C4⋊#95D4711yescharacteristic, complemented
374C2×C47C2×#38611yescharacteristic
375C2×C47C2×#39011yescharacteristic
376C2×C47#229711yescharacteristic
377C2×C47C4×#12112yes—
378C2×C47C4×#12112yes—
379C2×C47#284712yes—
380C2×C47#285011yescharacteristic
381C2×C47#285011yescharacteristic
382C2×C47#285412yes—
383C2×C47#285611yescharacteristic
384C2×C47#285611yescharacteristic
385D47—28no—
386D47—84no—
387C23×D4—472no—
388C23×D4—471no—
389C24×C4—471no—
390C24×C4—472no—
391C2×#121—478no—
392C2×#121—944no—
393C2×#121—944no—
394C22×C4⋊C4—471no—
395C22×C4⋊C4C2×D4711yescharacteristic
396C22×C4⋊C4C2×D4711yescharacteristic
397C22×C22⋊C4—472no—
398C22×C22⋊C4—474no—
399C22×C22⋊C4—474no—
400C22×C22⋊C4—472no—
401C22×C42—471no—
402C22×C42—472no—
403C22×C42—944no—
404C22×C42—944no—
405C22×C42—944no—
406C22×C42C2×D4711yescharacteristic
407#390—944no—
408#390—944no—
409#386—9416no—
410#380—944no—
411C2×#95—474no—
412C2×#95—472no—
413C2×#95C2×D4714yes—
414C47#1469811yescharacteristic, complemented, Sylow
415C25—471no—
416C25—472no—
417C22×D4—478no—
418C22×D4—474no—
419C22×D4—944no—
420C22×D4—944no—
421C22×D4—948no—
422C22×D4—948no—
423C22×D4—942no—
424C22×D4—942no—
425C22×D4—942no—
426C22×D4—942no—
427C22×D4—942no—
428C22×D4—942no—
429C23×C4—471no—
430C23×C4—472no—
431C23×C4—474no—
432C23×C4—474no—
433C23×C4—474no—
434C23×C4—478no—
435C23×C4—472no—
436C23×C4—944no—
437C23×C4—944no—
438C23×C4—944no—
439C23×C4—944no—
440C23×C4—944no—
441C23×C4—942no—
442C23×C4—942no—
443C23×C4—942no—
444C23×C4—944no—
445C23×C4—942no—
446C23×C4C22×D4712yes—
447C23×C4C22×D4712yes—
448C23×C4C22×D4712yes—
449C23×C4C22×D4711yescharacteristic
450#121—9432no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—942no—
457C2×C4⋊C4—942no—
458C2×C4⋊C4—942no—
459C2×C4⋊C4C4×D4714yescomplemented
460C2×C22⋊C4—478no—
461C2×C22⋊C4—944no—
462C2×C22⋊C4—944no—
463C2×C22⋊C4—948no—
464C2×C22⋊C4—948no—
465C2×C22⋊C4—948no—
466C2×C22⋊C4—944no—
467C2×C22⋊C4—948no—
468C2×C22⋊C4—948no—
469C2×C22⋊C4—948no—
470C2×C22⋊C4—948no—
471C2×C42—22no—
472C2×C42—22no—
473C2×C42—474no—
474C2×C42—9432no—
475C2×C42—944no—
476C2×C42—944no—
477C2×C42—944no—
478C2×C42—942no—
479C2×C42—942no—
480C2×C42D18814yescomplemented
481#95—28no—
482#95—944no—
483#95—948no—
484C24—472no—
485C24—472no—
486C24—474no—
487C24—472no—
488C24—474no—
489C24—474no—
490C24—941no—
491C24—941no—
492C24—942no—
493C24—941no—
494C24—941no—
495C24—942no—
496C24—944no—
497C24—942no—
498C24—942no—
499C24—942no—
500C24—942no—
501C24—944no—
502C24—944no—
503C24—942no—
504C24—944no—
505C24—942no—
506C24C23×D4711yescharacteristic
507C2×D4—9416no—
508C2×D4—9432no—
509C2×D4—948no—
510C2×D4—948no—
511C2×D4—948no—
512C2×D4—18816no—
513C2×D4—1888no—
514C2×D4—1888no—
515C2×D4—1884no—
516C2×D4—1884no—
517C2×D4—1884no—
518C2×D4—1884no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—24no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—22no—
532C22×C4—472no—
533C22×C4—472no—
534C22×C4—474no—
535C22×C4—474no—
536C22×C4—472no—
537C22×C4—474no—
538C22×C4—4716no—
539C22×C4—9416no—
540C22×C4—9416no—
541C22×C4—9416no—
542C22×C4—9416no—
543C22×C4—9416no—
544C22×C4—9416no—
545C22×C4—941no—
546C22×C4—942no—
547C22×C4—941no—
548C22×C4—942no—
549C22×C4—942no—
550C22×C4—941no—
551C22×C4—941no—
552C22×C4—942no—
553C22×C4—948no—
554C22×C4—948no—
555C22×C4—948no—
556C22×C4—948no—
557C22×C4—948no—
558C22×C4—9416no—
559C22×C4—948no—
560C22×C4—944no—
561C22×C4—942no—
562C22×C4—942no—
563C22×C4—944no—
564C22×C4—942no—
565C22×C4C2×C4×D4714yes—
566C22×C4C2×C4×D4712yes—
567C22×C4C2×D18814yes—
568C22×C4C2×D18812yes—
569C22×C4#1062535012yes—
570C22×C4D4×D4714yes—
571C22×C4D4×D4712yes—
572C22×C4D4×D4712yes—
573C22×C4D4×D4712yes—
574C22×C4#1062535414yes—
575C22×C4#1062535412yes—
576C4⋊C4—28no—
577C4⋊C4—44no—
578C4⋊C4—1884no—
579C22⋊C4—9416no—
580C22⋊C4—18816no—
581C22⋊C4—1888no—
582C22⋊C4—18816no—
583C42—28no—
584C42—9416no—
585C42—948no—
586C23—474no—
587C23—478no—
588C23—478no—
589C23—474no—
590C23—474no—
591C23—942no—
592C23—942no—
593C23—944no—
594C23—942no—
595C23—944no—
596C23—942no—
597C23—944no—
598C23—942no—
599C23—942no—
600C23—944no—
601C23—944no—
602C23—944no—
603C23—944no—
604C23—944no—
605C23—944no—
606C23—942no—
607C23—942no—
608C23—944no—
609C23—944no—
610C23—948no—
611C23—944no—
612C23—944no—
613C23—948no—
614C23—1882no—
615C23—1884no—
616C23—1884no—
617C23—1882no—
618C23—1884no—
619C23—1882no—
620C23—1882no—
621C23—1884no—
622C23—1884no—
623C23—1884no—
624C23—1882no—
625C23—1884no—
626C23—1884no—
627C23—1882no—
628C23—1884no—
629C23—1882no—
630C23—1882no—
631C23—1884no—
632C23C22×C4×D4711yescharacteristic
633C23C2×D4×D4711yescharacteristic
634C23C2×D4×D4711yescharacteristic
635C23C2×D4×D4712yes—
636C23C2×D4×D4711yescharacteristic
637C23C22×D18811yescharacteristic
638C23#41×D4712yes—
639C23#41×D4712yes—
640C23C2×#1062535011yescharacteristic
641C23C2×#1062535411yescharacteristic
642C23C2×#1062535412yes—
643D4—18832no—
644D4—18816no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—28no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—474no—
662C2×C4—478no—
663C2×C4—9464no—
664C2×C4—942no—
665C2×C4—942no—
666C2×C4—944no—
667C2×C4—942no—
668C2×C4—944no—
669C2×C4—942no—
670C2×C4—944no—
671C2×C4—942no—
672C2×C4—942no—
673C2×C4—944no—
674C2×C4—944no—
675C2×C4—944no—
676C2×C4—9432no—
677C2×C4—1884no—
678C2×C4—1882no—
679C2×C4—1882no—
680C2×C4—1882no—
681C2×C4—1884no—
682C2×C4C22⋊C4×D4714yes—
683C2×C4#1309398614yes—
684C2×C4C4×D18814yes—
685C2×C4#1309399414yes—
686C2×C4#1309399714yes—
687C2×C4#1309399914yes—
688C2×C4#1309399918yescomplemented
689C2×C4#1309400914yes—
690C22—478no—
691C22—948no—
692C22—944no—
693C22—944no—
694C22—944no—
695C22—948no—
696C22—944no—
697C22—944no—
698C22—944no—
699C22—948no—
700C22—948no—
701C22—3764no—
702C22—3762no—
703C22—3762no—
704C22—3764no—
705C22—3762no—
706C22—3762no—
707C22—1884no—
708C22—1884no—
709C22—1884no—
710C22—1888no—
711C22—1888no—
712C22C2×C22⋊C4×D4711yescharacteristic
713C22C4×D4×D4712yes—
714C22C2×#1309398611yescharacteristic
715C22C2×C4×D18811yescharacteristic
716C22C4×#1062535412yes—
717C22C2×#1309399411yescharacteristic
718C22#121×D4712yes—
719C22#121×D4712yes—
720C22C2×#1309399711yescharacteristic
721C22C2×#1309399912yes—
722C22C2×#1309399911yescharacteristic
723C22C2×#1309400911yescharacteristic
724C22#1568963512yes—
725C22#1568963612yes—
726C22#1568963612yes—
727C22#124×D4711yescharacteristic
728C22#1568965812yes—
729C22#1568966012yes—
730C22#127×D4711yescharacteristic
731C22#1568967012yes—
732C22#1568967211yescharacteristic
733C22#1568967411yescharacteristic
734C22#1568967412yes—
735C4—28no—
736C4—44no—
737C4—82no—
738C4—948no—
739C4—944no—
740C4—3762no—
741C4#1568900118yescomplemented
742C2—948no—
743C2—3764no—
744C2C2×#1568900111yescharacteristic
745C2#390×D4711yescharacteristic
746C2#2024587711yescharacteristic
747C2#2024589612yes—
748C2C4×#1309399912yes—
749C2#2025167112yes—
750C2#2025169011yescharacteristic
751C2#2025169211yescharacteristic
752C2#2025172112yes—
753C2#2025173211yescharacteristic
754C2#2025173411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC47×C4⋊#95C2
socle, cosocleC24×C47C24
prime radicalC22×#13093999C2
hypercenterC4⋊#95D47
hypocenterC47#14698
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C22×C42×D47C2semidirect
3. C2×#15689025C2semidirect
4. C2×#15689024C2semidirect
5. C2×#15689001C2semidirect
6. C2×#15688980C2semidirect
7. #20241624C2semidirect
8. #20241617C2semidirect
9. C47×C4⋊#95C2semidirect
16. C2×#13093999C4semidirect
50. C22×D188C2×C4semidirect
67. C22×C4×D47D4semidirect
82. C2×(C2×D47)⋊C4C2×C4semidirect
88. C2×C4×Dic47D4semidirect
101. C2×C4⋊C4×C47C2×C4semidirect
104. C2×C42×C47D4semidirect
197. C2×C4×D47C22⋊C4semidirect
287. C2×C4×C47#121semidirect
307. C2×Dic47#121semidirect
357. C2×D47#390semidirect
361. C4×C47#386semidirect
373. C4⋊#95D47semidirect
414. C47#14698semidirect
459. C2×C4⋊C4C4×D47semidirect
480. C2×C42D188semidirect
688. C2×C4#13093999semidirect
741. C4#15689001semidirect

Maximal subgroups

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

subgroupindex
C22×#130939992
C22×C42×D472
C2×#156890252
C2×#156890242
C2×#156890012
C2×#156889802
#202416242
#202416172
C47×C4⋊#952
#1469847