Finite Group Databasebeta

← #26152944

Subgroups — #26152944

Order 12032.

1438 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689057C212yesmaximal
2C2×#15689021C211yesmaximal, characteristic
3C2×#15689021C211yesmaximal, characteristic
4C2×#15689021C211yesmaximal, characteristic
5C2×#15688993C211yesmaximal, characteristic
6#20241652C212yesmaximal
7#20241645C212yesmaximal
8#20241640C212yesmaximal
9#20241618C211yesmaximal, characteristic
10#20241618C211yesmaximal, characteristic
11C4×#95×C47C211yesmaximal, characteristic
12C22×C4⋊Dic47C2211yescharacteristic
13C22×C4⋊Dic47C2212yes—
14C22×C4⋊Dic47C2212yes—
15C22×C4⋊Dic47C2211yescharacteristic
16C22×C4⋊Dic47C2211yescharacteristic
17C22×C4⋊Dic47C2211yescharacteristic
18C22×Dic47⋊C4C2212yes—
19C22×Dic47⋊C4C2212yes—
20C22×Dic47⋊C4C2212yes—
21#15689057—28no—
22#15689021—24no—
23#15689021—24no—
24#15689021—24no—
25#15688993—24no—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2212yes—
31C2×C47⋊#95C2212yes—
32C2×C47⋊#95C2212yes—
33C22×C42×C47C2211yescharacteristic
34C22×C42×C47C2211yescharacteristic
35C22×C42×C47C2211yescharacteristic
36C2×#95×C47C2211yescharacteristic
37C2×#95×C47C2211yescharacteristic
38C2×#95×C47C2211yescharacteristic
39C2×#95×C47C2211yescharacteristic
40C23×Dic47C2312yes—
41C23×Dic47C2312yes—
42C23×Dic47C2312yes—
43C23×Dic47C2312yes—
44C2×C4⋊Dic47—22no—
45C2×C4⋊Dic47—22no—
46C2×C4⋊Dic47—22no—
47C2×C4⋊Dic47—22no—
48C2×C4⋊Dic47—22no—
49C2×C4⋊Dic47—22no—
50C2×C4⋊Dic47—22no—
51C2×C4⋊Dic47—22no—
52C2×C4⋊Dic47—24no—
53C2×C4⋊Dic47—24no—
54C2×C4⋊Dic47—22no—
55C2×C4⋊Dic47—24no—
56C2×C4⋊Dic47—24no—
57C2×C4⋊Dic47—42no—
58C2×C4⋊Dic47—42no—
59C2×C4⋊Dic47D414yes—
60C2×C4⋊Dic47D414yes—
61C2×C4⋊Dic47Q814yes—
62C2×Dic47⋊C4—24no—
63C2×Dic47⋊C4—24no—
64C2×Dic47⋊C4—24no—
65C2×Dic47⋊C4—24no—
66C2×Dic47⋊C4—24no—
67C2×Dic47⋊C4—24no—
68C2×Dic47⋊C4—42no—
69C2×Dic47⋊C4—42no—
70C2×Dic47⋊C4—42no—
71C47⋊#95—24no—
72C47⋊#95—24no—
73C47⋊#95—24no—
74C47⋊#95—24no—
75C47⋊#95—24no—
76C47⋊#95—24no—
77C47⋊#95—42no—
78C23×C4×C47C2311yescharacteristic
79C23×C4×C47C2311yescharacteristic
80C23×C4×C47C2311yescharacteristic
81C23×C4×C47C2311yescharacteristic
82C23×C4×C47C2311yescharacteristic
83C23×C4×C47C2311yescharacteristic
84C23×C4×C47C2311yescharacteristic
85C2×C42×C47—22no—
86C2×C42×C47—22no—
87C2×C42×C47—22no—
88C2×C42×C47—22no—
89C2×C42×C47—22no—
90C2×C42×C47—22no—
91C2×C42×C47—22no—
92C2×C42×C47—22no—
93C2×C42×C47Q814yes—
94#95×C47—22no—
95#95×C47—22no—
96#95×C47D414yes—
97#95×C47Q814yes—
98C24×C47C2411yescharacteristic
99C22×C4×C47—21no—
100C22×C4×C47—21no—
101C22×C4×C47—21no—
102C22×C4×C47—21no—
103C22×C4×C47—21no—
104C22×C4×C47—21no—
105C22×C4×C47—21no—
106C22×C4×C47—21no—
107C22×C4×C47—21no—
108C22×C4×C47—21no—
109C22×C4×C47—21no—
110C22×C4×C47—21no—
111C22×C4×C47—21no—
112C22×C4×C47—21no—
113C22×C4×C47—21no—
114C22×C4×C47—21no—
115C22×C4×C47—21no—
116C22×C4×C47—21no—
117C22×C4×C47—21no—
118C22×C4×C47—21no—
119C22×C4×C47—21no—
120C22×C4×C47—21no—
121C22×C4×C47—21no—
122C22×C4×C47—21no—
123C22×C4×C47—21no—
124C22×C4×C47—21no—
125C22×C4×C47—21no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—21no—
130C22×C4×C47—21no—
131C22×C4×C47C2×D412yes—
132C22×C4×C47C2×D412yes—
133C22×C4×C47C2×D412yes—
134C22×C4×C47C2×D412yes—
135C22×C4×C47C2×D412yes—
136C22×C4×C47C2×Q812yes—
137C22×C4×C47C2×Q812yes—
138C22×C4×C47C2×Q812yes—
139C22×C4×C47C2×Q812yes—
140C22×C4×C47C2×Q812yes—
141C22×C4×C47C2×Q812yes—
142C22×C4×C47C2×Q812yes—
143C22×C4×C47#4112yes—
144C22×C4×C47#4112yes—
145C22×C4×C47#4112yes—
146C22×C4×C47#4112yes—
147C22×C4×C47#4112yes—
148C22×Dic47—22no—
149C22×Dic47—22no—
150C22×Dic47—22no—
151C22×Dic47—22no—
152C22×Dic47—22no—
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47C2×D414yes—
174C22×Dic47C2×D414yes—
175C22×Dic47C2×Q814yes—
176C42×C47—28no—
177C42×C47—44no—
178C42×C47—44no—
179C4⋊Dic47—28no—
180C4⋊Dic47—28no—
181C4⋊Dic47—28no—
182C4⋊Dic47—48no—
183C4⋊Dic47—48no—
184C4⋊Dic47—44no—
185Dic47⋊C4—48no—
186Dic47⋊C4—48no—
187Dic47⋊C4—48no—
188C23×C47C22×D411yescharacteristic
189C23×C47C22×D411yescharacteristic
190C23×C47C22×D411yescharacteristic
191C23×C47C22×Q811yescharacteristic
192C23×C47C22×Q811yescharacteristic
193C23×C47C22×Q811yescharacteristic
194C23×C47C2×#4111yescharacteristic
195C23×C47C2×#4111yescharacteristic
196C23×C47C2×#4111yescharacteristic
197C23×C47C2×#4111yescharacteristic
198C23×C47C2×#4111yescharacteristic
199C23×C47H(5,𝔽2)11yescharacteristic
200C23×C47H(5,𝔽2)11yescharacteristic
201C23×C472−1+411yescharacteristic
202C23×C472−1+411yescharacteristic
203C2×C4×C47—22no—
204C2×C4×C47—22no—
205C2×C4×C47—22no—
206C2×C4×C47—22no—
207C2×C4×C47—22no—
208C2×C4×C47—22no—
209C2×C4×C47—22no—
210C2×C4×C47—22no—
211C2×C4×C47—22no—
212C2×C4×C47—22no—
213C2×C4×C47—22no—
214C2×C4×C47—22no—
215C2×C4×C47—22no—
216C2×C4×C47—22no—
217C2×C4×C47—22no—
218C2×C4×C47—22no—
219C2×C4×C47—22no—
220C2×C4×C47—22no—
221C2×C4×C47—22no—
222C2×C4×C47—22no—
223C2×C4×C47—22no—
224C2×C4×C47—22no—
225C2×C4×C47—22no—
226C2×C4×C47—22no—
227C2×C4×C47—41no—
228C2×C4×C47—41no—
229C2×C4×C47—41no—
230C2×C4×C47—41no—
231C2×C4×C47—41no—
232C2×C4×C47—41no—
233C2×C4×C47—41no—
234C2×C4×C47—41no—
235C2×C4×C47—41no—
236C2×C4×C47—41no—
237C2×C4×C47—41no—
238C2×C4×C47—41no—
239C2×C4×C47—41no—
240C2×C4×C47—41no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47#12114yes—
244C2×C4×C47C22⋊Q814yes—
245C2×C4×C47C22⋊Q814yes—
246C2×C4×C47#12314yes—
247C2×C4×C47#12514yes—
248C2×C4×C47#12514yes—
249C2×C4×C47#12514yes—
250C2×C4×C47C4⋊Q814yes—
251C2×C4×C47C4⋊Q814yes—
252C2×Dic47—24no—
253C2×Dic47—24no—
254C2×Dic47—24no—
255C2×Dic47—24no—
256C2×Dic47—24no—
257C2×Dic47—24no—
258C2×Dic47—24no—
259C2×Dic47—24no—
260C2×Dic47—24no—
261C2×Dic47—42no—
262C2×Dic47—42no—
263C2×Dic47—42no—
264C2×Dic47—42no—
265C2×Dic47—42no—
266C2×Dic47—42no—
267C2×Dic47—42no—
268C2×Dic47—42no—
269C2×Dic47—42no—
270C2×Dic47—42no—
271C2×Dic47—42no—
272C2×Dic47—42no—
273C2×Dic47—42no—
274C2×Dic47—42no—
275C2×Dic47—42no—
276C2×Dic47—42no—
277C2×Dic47—42no—
278C2×Dic47—42no—
279C2×Dic47—42no—
280#15137—471nomaximal, Sylow
281C22×C47C2×#12111yescharacteristic
282C22×C47C2×C22⋊Q811yescharacteristic
283C22×C47C2×C22⋊Q811yescharacteristic
284C22×C47C2×#12311yescharacteristic
285C22×C47C2×#12511yescharacteristic
286C22×C47C2×#12511yescharacteristic
287C22×C47C2×#12511yescharacteristic
288C22×C47C2×C4⋊Q811yescharacteristic
289C22×C47C2×C4⋊Q811yescharacteristic
290C22×C47#53211yescharacteristic
291C22×C47#53211yescharacteristic
292C22×C47#53311yescharacteristic
293C22×C47#53311yescharacteristic
294C22×C47#54011yescharacteristic
295C22×C47#54111yescharacteristic
296C22×C47#54211yescharacteristic
297C22×C47#54211yescharacteristic
298C22×C47#54411yescharacteristic
299C22×C47#54411yescharacteristic
300C22×C47D4211yescharacteristic
301C22×C47D4211yescharacteristic
302C22×C47#54611yescharacteristic
303C22×C47#54711yescharacteristic
304C22×C47#54711yescharacteristic
305C22×C47#54811yescharacteristic
306C22×C47D4×Q811yescharacteristic
307C22×C47D4×Q811yescharacteristic
308C22×C47D4×Q811yescharacteristic
309C22×C47#55011yescharacteristic
310C22×C47#55211yescharacteristic
311C22×C47#55311yescharacteristic
312C22×C47#55411yescharacteristic
313C22×C47#55411yescharacteristic
314C22×C47#55711yescharacteristic
315C22×C47Q8211yescharacteristic
316C4×C47—24no—
317C4×C47—24no—
318C4×C47—42no—
319C4×C47—42no—
320C4×C47—42no—
321C4×C47—42no—
322C4×C47#39818yescomplemented
323Dic47—44no—
324Dic47—44no—
325Dic47—44no—
326Dic47—82no—
327C2×#398—472no—
328C2×#389—471no—
329C2×#389—471no—
330C2×#389—471no—
331C2×#384—471no—
332#1444—472no—
333#1442—472no—
334#1441—472no—
335C4⋊#95—471no—
336C4⋊#95—471no—
337C4×#95D4711yescharacteristic
338C2×C47C2×#39811yescharacteristic
339C2×C47#242211yescharacteristic
340C2×C47#242311yescharacteristic
341C2×C47#242811yescharacteristic
342C2×C47#242911yescharacteristic
343C2×C47#244011yescharacteristic
344C2×C47#244211yescharacteristic
345C2×C47#245111yescharacteristic
346C2×C47#245211yescharacteristic
347C2×C47#250611yescharacteristic
348C2×C47#250711yescharacteristic
349C2×C47#255111yescharacteristic
350C2×C47#255211yescharacteristic
351C2×C47#264711yescharacteristic
352C2×C47#285911yescharacteristic
353C22×C4⋊C4—471no—
354C22×C4⋊C4—471no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—471no—
357C22×C4⋊C4—472no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—472no—
360C22×C4⋊C4—472no—
361C22×C4⋊C4—472no—
362C22×C42C2×D4711yescharacteristic
363C22×C42C2×D4711yescharacteristic
364C22×C42C2×D4711yescharacteristic
365#398—948no—
366#389—944no—
367#389—944no—
368#389—944no—
369#384—944no—
370C2×#95—472no—
371C2×#95—472no—
372C2×#95—472no—
373C2×#95—472no—
374C2×#95—472no—
375C2×#95—472no—
376C2×#95—472no—
377C2×#95C2×D4711yescharacteristic
378C2×#95C2×D4711yescharacteristic
379C2×#95C2×D4711yescharacteristic
380C2×#95C2×D4711yescharacteristic
381C47#1513711yescharacteristic, complemented, Sylow
382C23×C4—472no—
383C23×C4—472no—
384C23×C4—472no—
385C23×C4—472no—
386C23×C4C22×D4711yescharacteristic
387C23×C4C22×D4711yescharacteristic
388C23×C4C22×D4711yescharacteristic
389C23×C4C22×D4711yescharacteristic
390C23×C4C22×D4711yescharacteristic
391C23×C4C22×D4711yescharacteristic
392C23×C4C22×D4711yescharacteristic
393C2×C4⋊C4—474no—
394C2×C4⋊C4—474no—
395C2×C4⋊C4—474no—
396C2×C4⋊C4—942no—
397C2×C4⋊C4—942no—
398C2×C4⋊C4—942no—
399C2×C4⋊C4—942no—
400C2×C4⋊C4—942no—
401C2×C4⋊C4—942no—
402C2×C4⋊C4—944no—
403C2×C4⋊C4—944no—
404C2×C4⋊C4—944no—
405C2×C4⋊C4—944no—
406C2×C4⋊C4—944no—
407C2×C4⋊C4—944no—
408C2×C4⋊C4—944no—
409C2×C4⋊C4—944no—
410C2×C4⋊C4—944no—
411C2×C4⋊C4—944no—
412C2×C4⋊C4—942no—
413C2×C4⋊C4—942no—
414C2×C4⋊C4—942no—
415C2×C4⋊C4—1882no—
416C2×C4⋊C4—1882no—
417C2×C4⋊C4—1882no—
418C2×C4⋊C4—1882no—
419C2×C4⋊C4—1882no—
420C2×C42—22no—
421C2×C42—22no—
422C2×C42—22no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—22no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42Dic9414yes—
429#95—22no—
430#95—22no—
431#95—944no—
432#95—944no—
433#95—944no—
434#95—944no—
435#95—944no—
436#95—944no—
437#95—1882no—
438#95Dic9414yes—
439#95D18814yes—
440C24C23×D4711yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—474no—
474C22×C4—474no—
475C22×C4—474no—
476C22×C4—942no—
477C22×C4—942no—
478C22×C4—942no—
479C22×C4—942no—
480C22×C4—942no—
481C22×C4—942no—
482C22×C4—942no—
483C22×C4—942no—
484C22×C4—942no—
485C22×C4—942no—
486C22×C4—942no—
487C22×C4—942no—
488C22×C4—942no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—942no—
492C22×C4—942no—
493C22×C4—942no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4C2×Dic9412yes—
502C22×C4C2×Dic9412yes—
503C22×C4C2×Dic9412yes—
504C22×C4C2×Dic9412yes—
505C22×C4C2×Dic9412yes—
506C22×C4C2×Dic9412yes—
507C22×C4C2×D18812yes—
508C22×C4C2×D18812yes—
509C22×C4C2×D18812yes—
510C22×C4#1062535012yes—
511C22×C4#1062535012yes—
512C22×C4#1062535012yes—
513C22×C4#1062535012yes—
514C22×C4D4×D4712yes—
515C22×C4D4×D4712yes—
516C22×C4#1062535212yes—
517C22×C4Q8×D4712yes—
518C4⋊C4—948no—
519C4⋊C4—948no—
520C4⋊C4—948no—
521C4⋊C4—1888no—
522C4⋊C4—1888no—
523C4⋊C4—1888no—
524C4⋊C4—1888no—
525C4⋊C4—1888no—
526C4⋊C4—1884no—
527C42—28no—
528C42—44no—
529C42—44no—
530C23C2×D4×D4711yescharacteristic
531C23C2×D4×D4711yescharacteristic
532C23C22×D18811yescharacteristic
533C23C2×Q8×D4711yescharacteristic
534C23C22×Dic9411yescharacteristic
535C23C22×Dic9411yescharacteristic
536C23C2×#1062535211yescharacteristic
537C23C2×#1062535011yescharacteristic
538C23C2×#1062535011yescharacteristic
539C23C2×#1062535011yescharacteristic
540C23C2×#1062535011yescharacteristic
541C23#1309407011yescharacteristic
542C23#1309407011yescharacteristic
543C23#1309407111yescharacteristic
544C23#1309407111yescharacteristic
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—944no—
586C2×C4—944no—
587C2×C4—944no—
588C2×C4—944no—
589C2×C4—944no—
590C2×C4—944no—
591C2×C4—944no—
592C2×C4—944no—
593C2×C4—944no—
594C2×C4—1882no—
595C2×C4—1882no—
596C2×C4—1882no—
597C2×C4—1882no—
598C2×C4—1882no—
599C2×C4—1882no—
600C2×C4—1882no—
601C2×C4—1882no—
602C2×C4—1882no—
603C2×C4—1882no—
604C2×C4—1882no—
605C2×C4—1882no—
606C2×C4—1882no—
607C2×C4—1882no—
608C2×C4—1882no—
609C2×C4—1882no—
610C2×C4—1882no—
611C2×C4—1882no—
612C2×C4—1882no—
613C2×C4#1309399714yes—
614C2×C4#1309400114yes—
615C2×C4#1309400214yes—
616C2×C4#1309400614yes—
617C2×C4#1309401414yes—
618C2×C4#1309401614yes—
619C2×C4#1309401614yes—
620C2×C4#1309402314yes—
621C2×C4#1309402414yes—
622C22C2×#1309399711yescharacteristic
623C22C2×#1309400111yescharacteristic
624C22C2×#1309400211yescharacteristic
625C22C2×#1309400611yescharacteristic
626C22C2×#1309401411yescharacteristic
627C22C2×#1309401611yescharacteristic
628C22C2×#1309401611yescharacteristic
629C22C2×#1309402311yescharacteristic
630C22C2×#1309402411yescharacteristic
631C22#1568967311yescharacteristic
632C22#1568967311yescharacteristic
633C22#1568968011yescharacteristic
634C22#1568968011yescharacteristic
635C22#1568972811yescharacteristic
636C22#1568973511yescharacteristic
637C22#1568974411yescharacteristic
638C22#1568974411yescharacteristic
639C22#1568975111yescharacteristic
640C22#1568975111yescharacteristic
641C22D4×D18811yescharacteristic
642C22D4×D18811yescharacteristic
643C22#1568976911yescharacteristic
644C22#1568977711yescharacteristic
645C22#1568977811yescharacteristic
646C22#1568978211yescharacteristic
647C22D4×Dic9411yescharacteristic
648C22D4×Dic9411yescharacteristic
649C22Q8×D18811yescharacteristic
650C22#1568979411yescharacteristic
651C22#1568981311yescharacteristic
652C22#1568981911yescharacteristic
653C22#1568983011yescharacteristic
654C22#1568983311yescharacteristic
655C22#1568985111yescharacteristic
656C22Q8×Dic9411yescharacteristic
657C4—24no—
658C4—24no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—42no—
663C4—3762no—
664C4—1884no—
665C4—1884no—
666C4—1884no—
667C4#1568905718yescomplemented
668C2C2×#1568905711yescharacteristic
669C2#2024690211yescharacteristic
670C2#2024691311yescharacteristic
671C2#2024697611yescharacteristic
672C2#2024698711yescharacteristic
673C2#2024709011yescharacteristic
674C2#2024711211yescharacteristic
675C2#2024722711yescharacteristic
676C2#2024723811yescharacteristic
677C2#2024790411yescharacteristic
678C2#2024791511yescharacteristic
679C2#2024841411yescharacteristic
680C2#2024842311yescharacteristic
681C2#2024936311yescharacteristic
682C2#2025175111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutator, socle, prime radical, cosocleC24×C47C24
FittingC4×#95×C47C2
hypercenterC4×#95D47
hypocenterC47#15137
LCSG ▷ C24×C47 ▷ C47
UCSC1 ◁ C24 ◁ C4×#95

Complements

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

NH ≅ G/Ntype
322. C4×C47#398semidirect
381. C47#15137semidirect
667. C4#15689057semidirect

Maximal subgroups

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

subgroupindex
C2×#156890572
C2×#156890212
C2×#156889932
#202416522
#202416452
#202416402
#202416182
C4×#95×C472
#1513747