Finite Group Databasebeta

← #26140105

Subgroups — #26140105

Order 12032.

1566 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689022C211yesmaximal, characteristic
2C2×C4⋊C4×Dic47C211yesmaximal, characteristic
3#20241656C212yesmaximal
4#20241641C212yesmaximal
5#20241620C212yesmaximal
6#20241618C211yesmaximal, characteristic
7#20241617C212yesmaximal
8#20241617C211yesmaximal, characteristic
9#20241617C211yesmaximal, characteristic
10C4×C47⋊#95C211yesmaximal, characteristic
11C22×#125×C47C211yesmaximal, characteristic
12C22×C4⋊Dic47C2211yescharacteristic
13C22×C4⋊Dic47C2212yes—
14C22×C4⋊Dic47C2211yescharacteristic
15C22×C4×Dic47C2211yescharacteristic
16C22×C4×Dic47C2212yes—
17C22×C4×Dic47C2211yescharacteristic
18#15689022—24no—
19C4⋊C4×Dic47—24no—
20C2×C47⋊#95C2212yes—
21C2×C47⋊#95C2211yescharacteristic
22C2×C47⋊#95C2211yescharacteristic
23C2×C47⋊#95C2211yescharacteristic
24C2×C47⋊#95C2211yescharacteristic
25C2×C47⋊#95C2212yes—
26C2×C47⋊#95C2212yes—
27C2×C47⋊#95C2212yes—
28C2×C47⋊#95C2212yes—
29C2×C47⋊#95C2212yes—
30C2×C47⋊#95C2212yes—
31C2×C47⋊#95C2212yes—
32C2×#125×C47—24no—
33C2×#125×C47—24no—
34C2×#125×C47C418yescomplemented
35C22×C4⋊C4×C47C2211yescharacteristic
36C22×C4⋊C4×C47C2212yes—
37C22×C4⋊C4×C47C2212yes—
38C22×C4⋊C4×C47C2211yescharacteristic
39C22×C42×C47C2211yescharacteristic
40C23×Dic47C2312yes—
41C23×Dic47C2311yescharacteristic
42C23×Dic47C2312yes—
43C23×Dic47C2311yescharacteristic
44C23×Dic47C2311yescharacteristic
45C23×Dic47C2311yescharacteristic
46C2×C4⋊Dic47—22no—
47C2×C4⋊Dic47—22no—
48C2×C4⋊Dic47—24no—
49C2×C4⋊Dic47—22no—
50C2×C4⋊Dic47—22no—
51C2×C4⋊Dic47—22no—
52C2×C4⋊Dic47—24no—
53C2×C4⋊Dic47—42no—
54C2×C4⋊Dic47Q814yes—
55C2×C4×Dic47—22no—
56C2×C4×Dic47—22no—
57C2×C4×Dic47—24no—
58C2×C4×Dic47—22no—
59C2×C4×Dic47—22no—
60C2×C4×Dic47—22no—
61C2×C4×Dic47—24no—
62C2×C4×Dic47—42no—
63C2×C4×Dic47Q814yes—
64C47⋊#95—24no—
65C47⋊#95—24no—
66C47⋊#95—22no—
67C47⋊#95—24no—
68C47⋊#95—22no—
69C47⋊#95—22no—
70C47⋊#95—22no—
71C47⋊#95—24no—
72C47⋊#95—42no—
73C47⋊#95—42no—
74C47⋊#95—42no—
75C47⋊#95—42no—
76C23×C4×C47C2311yescharacteristic
77C23×C4×C47C2311yescharacteristic
78C23×C4×C47C2312yes—
79C23×C4×C47C2312yes—
80C23×C4×C47C2311yescharacteristic
81#125×C47—232no—
82C2×C4⋊C4×C47—24no—
83C2×C4⋊C4×C47—24no—
84C2×C4⋊C4×C47—24no—
85C2×C4⋊C4×C47—24no—
86C2×C4⋊C4×C47—22no—
87C2×C4⋊C4×C47—22no—
88C2×C4⋊C4×C47C2×C418yes—
89C2×C4⋊C4×C47C2×C418yes—
90C2×C4⋊C4×C47C2×C414yes—
91C2×C4⋊C4×C47C2×C414yes—
92C2×C4⋊C4×C47D414yes—
93C2×C4⋊C4×C47D414yes—
94C2×C42×C47—22no—
95C2×C42×C47—22no—
96C2×C42×C47C2×C414yes—
97C24×C47C2411yescharacteristic
98C22×C4×C47—22no—
99C22×C4×C47—22no—
100C22×C4×C47—22no—
101C22×C4×C47—22no—
102C22×C4×C47—21no—
103C22×C4×C47—21no—
104C22×C4×C47—21no—
105C22×C4×C47—21no—
106C22×C4×C47—22no—
107C22×C4×C47—22no—
108C22×C4×C47—21no—
109C22×C4×C47—21no—
110C22×C4×C47—21no—
111C22×C4×C47—22no—
112C22×C4×C47—21no—
113C22×C4×C47—22no—
114C22×C4×C47—21no—
115C22×C4×C47—21no—
116C22×C4×C47—22no—
117C22×C4×C47—21no—
118C22×C4×C47—21no—
119C22×C4×C47—22no—
120C22×C4×C47C22×C412yes—
121C22×C4×C47C22×C412yes—
122C22×C4×C47C22×C414yes—
123C22×C4×C47C22×C414yes—
124C22×C4×C47C22×C412yes—
125C22×C4×C47C2×D414yes—
126C22×C4×C47C2×D414yes—
127C22×C4×C47C2×D412yes—
128C22×C4×C47C2×D412yes—
129C22×C4×C47C2×Q812yes—
130C22×C4×C47C2×Q812yes—
131C22×C4×C47#4112yes—
132C22×C4×C47#4112yes—
133C22×Dic47—21no—
134C22×Dic47—21no—
135C22×Dic47—21no—
136C22×Dic47—21no—
137C22×Dic47—21no—
138C22×Dic47—21no—
139C22×Dic47—22no—
140C22×Dic47—21no—
141C22×Dic47—21no—
142C22×Dic47—21no—
143C22×Dic47—21no—
144C22×Dic47—21no—
145C22×Dic47—22no—
146C22×Dic47—21no—
147C22×Dic47—21no—
148C22×Dic47—21no—
149C22×Dic47—21no—
150C22×Dic47—21no—
151C22×Dic47—22no—
152C22×Dic47—22no—
153C22×Dic47—21no—
154C22×Dic47—21no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47—21no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47—22no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47C2×Q812yes—
169C22×Dic47C2×Q814yes—
170C22×Dic47C2×Q812yes—
171C22×Dic47#4112yes—
172C22×Dic47#4112yes—
173C22×Dic47#4112yes—
174C22×Dic47#4112yes—
175C4⋊C4×C47—216no—
176C4⋊C4×C47—216no—
177C4⋊C4×C47—28no—
178C4⋊C4×C47C22⋊C4116yes—
179C42×C47—28no—
180C4⋊Dic47—28no—
181C4⋊Dic47—48no—
182C4⋊Dic47—44no—
183C4×Dic47—28no—
184C4×Dic47—48no—
185C4×Dic47—44no—
186C23×C47C23×C411yescharacteristic
187C23×C47C22×D411yescharacteristic
188C23×C47C22×D411yescharacteristic
189C23×C47C22×Q811yescharacteristic
190C23×C47C22×Q811yescharacteristic
191C23×C47C2×#4111yescharacteristic
192C23×C47C2×#4111yescharacteristic
193C23×C47C2×#4111yescharacteristic
194C23×C47C2×#4111yescharacteristic
195C23×C47C2×#4111yescharacteristic
196C23×C47C2×#4111yescharacteristic
197C23×C47H(5,𝔽2)11yescharacteristic
198C23×C47H(5,𝔽2)11yescharacteristic
199C23×C472−1+411yescharacteristic
200C23×C472−1+411yescharacteristic
201C2×C4×C47—24no—
202C2×C4×C47—24no—
203C2×C4×C47—24no—
204C2×C4×C47—24no—
205C2×C4×C47—24no—
206C2×C4×C47—24no—
207C2×C4×C47—22no—
208C2×C4×C47—22no—
209C2×C4×C47—24no—
210C2×C4×C47—22no—
211C2×C4×C47—22no—
212C2×C4×C47—24no—
213C2×C4×C47—22no—
214C2×C4×C47—22no—
215C2×C4×C47—24no—
216C2×C4×C47—41no—
217C2×C4×C47—41no—
218C2×C4×C47—41no—
219C2×C4×C47—41no—
220C2×C4×C47—41no—
221C2×C4×C47—42no—
222C2×C4×C47—41no—
223C2×C4×C47—42no—
224C2×C4×C47—41no—
225C2×C4×C47—42no—
226C2×C4×C47—41no—
227C2×C4×C47—42no—
228C2×C4×C47C2×C22⋊C418yes—
229C2×C4×C47C2×C22⋊C414yes—
230C2×C4×C47C4×Q814yes—
231C2×C4×C47C4×Q814yes—
232C2×C4×C47C22⋊Q814yes—
233C2×C4×C47C22⋊Q814yes—
234C2×C4×C47#12414yes—
235C2×C4×C47C4⋊Q814yes—
236C2×Dic47—22no—
237C2×Dic47—22no—
238C2×Dic47—22no—
239C2×Dic47—22no—
240C2×Dic47—22no—
241C2×Dic47—22no—
242C2×Dic47—22no—
243C2×Dic47—24no—
244C2×Dic47—22no—
245C2×Dic47—22no—
246C2×Dic47—22no—
247C2×Dic47—22no—
248C2×Dic47—22no—
249C2×Dic47—22no—
250C2×Dic47—22no—
251C2×Dic47—22no—
252C2×Dic47—24no—
253C2×Dic47—24no—
254C2×Dic47—41no—
255C2×Dic47—41no—
256C2×Dic47—42no—
257C2×Dic47—42no—
258C2×Dic47—41no—
259C2×Dic47—41no—
260C2×Dic47—42no—
261C2×Dic47—41no—
262C2×Dic47—41no—
263C2×Dic47—41no—
264C2×Dic47—42no—
265C2×Dic47—41no—
266C2×Dic47—41no—
267C2×Dic47—41no—
268C2×Dic47—41no—
269C2×Dic47—41no—
270C2×Dic47—42no—
271C2×Dic47—42no—
272C2×Dic47—42no—
273C2×Dic47—42no—
274C2×Dic47—42no—
275C2×Dic47—42no—
276C2×Dic47—42no—
277C2×Dic47#12514yescomplemented
278#14054—471nomaximal, Sylow
279C22×C47C22×C22⋊C411yescharacteristic
280C22×C47C2×C4×Q811yescharacteristic
281C22×C47C2×C4×Q811yescharacteristic
282C22×C47C4×#4111yescharacteristic
283C22×C47C4×#4111yescharacteristic
284C22×C47#52011yescharacteristic
285C22×C47#52011yescharacteristic
286C22×C47C2×C22⋊Q811yescharacteristic
287C22×C47C2×C22⋊Q811yescharacteristic
288C22×C47C2×#12411yescharacteristic
289C22×C47C2×#12511yescharacteristic
290C22×C47#52911yescharacteristic
291C22×C47#52911yescharacteristic
292C22×C47C2×C4⋊Q811yescharacteristic
293C22×C47#53311yescharacteristic
294C22×C47#54011yescharacteristic
295C22×C47#54111yescharacteristic
296C22×C47#54411yescharacteristic
297C22×C47#54411yescharacteristic
298C22×C47#54611yescharacteristic
299C22×C47#54611yescharacteristic
300C22×C47#54711yescharacteristic
301C22×C47#54711yescharacteristic
302C22×C47#54811yescharacteristic
303C22×C47#54811yescharacteristic
304C22×C47#55011yescharacteristic
305C22×C47#55011yescharacteristic
306C22×C47#55211yescharacteristic
307C22×C47#55211yescharacteristic
308C22×C47#55311yescharacteristic
309C22×C47#55311yescharacteristic
310C22×C47#55411yescharacteristic
311C22×C47#55411yescharacteristic
312C22×C47#55711yescharacteristic
313C22×C47#55711yescharacteristic
314C4×C47—28no—
315C4×C47—42no—
316C4×C47—42no—
317C4×C47—44no—
318C4×C47#39118yes—
319Dic47—24no—
320Dic47—42no—
321Dic47—44no—
322Dic47—42no—
323Dic47—42no—
324Dic47—82no—
325C22×#125D4711yescharacteristic
326C2×#389—471no—
327C2×C4×C4⋊C4—471no—
328#1445—472no—
329#1441—472no—
330#1436—472no—
331C4⋊#95—471no—
332C4⋊#95—471no—
333C4⋊#95—471no—
334C4⋊#95—472no—
335C4×#95—471no—
336C2×C47C2×#39111yescharacteristic
337C2×C47C4×#12511yescharacteristic
338C2×C47#233011yescharacteristic
339C2×C47#233911yescharacteristic
340C2×C47#234111yescharacteristic
341C2×C47#237011yescharacteristic
342C2×C47#237011yescharacteristic
343C2×C47#244111yescharacteristic
344C2×C47#244211yescharacteristic
345C2×C47#245311yescharacteristic
346C2×C47#245411yescharacteristic
347C2×C47#248911yescharacteristic
348C2×C47#249011yescharacteristic
349C2×C47#255011yescharacteristic
350C2×C47#255211yescharacteristic
351C2×#125—24no—
352C2×#125—24no—
353C2×#125Dic4718yescomplemented
354C22×C4⋊C4—471no—
355C22×C4⋊C4—471no—
356C22×C4⋊C4—472no—
357C22×C4⋊C4C2×D4711yescharacteristic
358C22×C4⋊C4C2×D4712yes—
359C22×C4⋊C4C2×D4712yes—
360C22×C4⋊C4C2×D4711yescharacteristic
361C22×C42—471no—
362C22×C42—471no—
363C22×C42—472no—
364C22×C42C2×D4711yescharacteristic
365#389—944no—
366C4×C4⋊C4—944no—
367C2×#95—471no—
368C2×#95—471no—
369C2×#95—471no—
370C2×#95—471no—
371C2×#95—472no—
372C2×#95—472no—
373C2×#95—472no—
374C2×#95—472no—
375C2×#95—472no—
376C2×#95—472no—
377C2×#95—472no—
378C2×#95—472no—
379C47#1405411yescharacteristic, complemented, Sylow
380C23×C4—471no—
381C23×C4—471no—
382C23×C4—472no—
383C23×C4—471no—
384C23×C4—471no—
385C23×C4—472no—
386C23×C4C22×D4712yes—
387C23×C4C22×D4711yescharacteristic
388C23×C4C22×D4711yescharacteristic
389C23×C4C22×D4712yes—
390C23×C4C22×D4711yescharacteristic
391#125—232no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—24no—
395C2×C4⋊C4—24no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—474no—
399C2×C4⋊C4—942no—
400C2×C4⋊C4—942no—
401C2×C4⋊C4—944no—
402C2×C4⋊C4—942no—
403C2×C4⋊C4—942no—
404C2×C4⋊C4—944no—
405C2×C4⋊C4—942no—
406C2×C4⋊C4—1882no—
407C2×C4⋊C4C2×Dic4718yes—
408C2×C4⋊C4C2×Dic4718yes—
409C2×C4⋊C4C2×Dic4714yes—
410C2×C4⋊C4C2×Dic4714yes—
411C2×C4⋊C4C22⋊D4714yes—
412C2×C4⋊C4C22⋊D4714yes—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—474no—
416C2×C42—942no—
417C2×C42—942no—
418C2×C42—944no—
419C2×C42—942no—
420C2×C42—942no—
421C2×C42—944no—
422C2×C42—942no—
423C2×C42—1882no—
424C2×C42C2×Dic4714yes—
425#95—942no—
426#95—944no—
427#95—942no—
428#95—942no—
429#95—944no—
430#95—942no—
431#95—944no—
432#95—944no—
433#95—1882no—
434#95—1882no—
435#95—1882no—
436#95—1882no—
437C24C23×D4711yescharacteristic
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—472no—
461C22×C4—472no—
462C22×C4—472no—
463C22×C4—472no—
464C22×C4—474no—
465C22×C4—472no—
466C22×C4—472no—
467C22×C4—941no—
468C22×C4—941no—
469C22×C4—941no—
470C22×C4—941no—
471C22×C4—941no—
472C22×C4—941no—
473C22×C4—942no—
474C22×C4—941no—
475C22×C4—942no—
476C22×C4—941no—
477C22×C4—941no—
478C22×C4—941no—
479C22×C4—941no—
480C22×C4—942no—
481C22×C4—941no—
482C22×C4—941no—
483C22×C4—941no—
484C22×C4—941no—
485C22×C4—941no—
486C22×C4—942no—
487C22×C4—941no—
488C22×C4—941no—
489C22×C4—942no—
490C22×C4—942no—
491C22×C4—941no—
492C22×C4—941no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4Q8×D4712yes—
503C22×C4Q8×D4712yes—
504C22×C4#1062535412yes—
505C22×C4#1062535412yes—
506C22×C4C22×Dic4712yes—
507C22×C4C22×Dic4712yes—
508C22×C4C22×Dic4714yes—
509C22×C4C22×Dic4714yes—
510C22×C4C22×Dic4712yes—
511C22×C4C2×C22⋊D4714yes—
512C22×C4C2×C22⋊D4714yes—
513C22×C4C2×C22⋊D4712yes—
514C22×C4C2×C22⋊D4712yes—
515C4⋊C4—216no—
516C4⋊C4—216no—
517C4⋊C4—28no—
518C4⋊C4—948no—
519C4⋊C4—1888no—
520C4⋊C4—1884no—
521C4⋊C4C22⋊Dic47116yes—
522C42—28no—
523C42—948no—
524C42—1888no—
525C42—1884no—
526C23C23×Dic4711yescharacteristic
527C23C22×C22⋊D4711yescharacteristic
528C23C22×C22⋊D4711yescharacteristic
529C23C2×Q8×D4711yescharacteristic
530C23C2×Q8×D4711yescharacteristic
531C23#41×D4711yescharacteristic
532C23#41×D4711yescharacteristic
533C23#41×D4711yescharacteristic
534C23#41×D4711yescharacteristic
535C23C2×#1062535411yescharacteristic
536C23C2×#1062535411yescharacteristic
537C23#1309407011yescharacteristic
538C23#1309407011yescharacteristic
539C23#1309407111yescharacteristic
540C23#1309407111yescharacteristic
541C2×C4—24no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—24no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—24no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—41no—
563C2×C4—42no—
564C2×C4—41no—
565C2×C4—42no—
566C2×C4—41no—
567C2×C4—42no—
568C2×C4—474no—
569C2×C4—942no—
570C2×C4—942no—
571C2×C4—942no—
572C2×C4—942no—
573C2×C4—942no—
574C2×C4—942no—
575C2×C4—942no—
576C2×C4—942no—
577C2×C4—942no—
578C2×C4—942no—
579C2×C4—942no—
580C2×C4—944no—
581C2×C4—944no—
582C2×C4—942no—
583C2×C4—944no—
584C2×C4—942no—
585C2×C4—942no—
586C2×C4—942no—
587C2×C4—1882no—
588C2×C4—1882no—
589C2×C4—1882no—
590C2×C4—1882no—
591C2×C4—1882no—
592C2×C4—1882no—
593C2×C4—1882no—
594C2×C4—1881no—
595C2×C4—1882no—
596C2×C4—1881no—
597C2×C4—1882no—
598C2×C4—1881no—
599C2×C4—1881no—
600C2×C4—1881no—
601C2×C4—1881no—
602C2×C4—1882no—
603C2×C4—1881no—
604C2×C4—1881no—
605C2×C4—1881no—
606C2×C4—1881no—
607C2×C4—1881no—
608C2×C4—1881no—
609C2×C4—1882no—
610C2×C4C2×C22⋊Dic4718yes—
611C2×C4C2×C22⋊Dic4714yes—
612C2×C4Q8×Dic4714yes—
613C2×C4Q8×Dic4714yes—
614C2×C4#1309400014yes—
615C2×C4#1309400014yes—
616C2×C4#1309401314yes—
617C2×C4#1309402214yes—
618C22C22×C22⋊Dic4711yescharacteristic
619C22C2×Q8×Dic4711yescharacteristic
620C22C2×Q8×Dic4711yescharacteristic
621C22#41×Dic4711yescharacteristic
622C22#41×Dic4711yescharacteristic
623C22#1568960611yescharacteristic
624C22#1568960611yescharacteristic
625C22C2×#1309400011yescharacteristic
626C22C2×#1309400011yescharacteristic
627C22C2×#1309401311yescharacteristic
628C22#125×D4711yescharacteristic
629C22#1568965811yescharacteristic
630C22#1568965811yescharacteristic
631C22C2×#1309402211yescharacteristic
632C22#1568967911yescharacteristic
633C22#1568972911yescharacteristic
634C22#1568973611yescharacteristic
635C22#1568975311yescharacteristic
636C22#1568975311yescharacteristic
637C22#1568976111yescharacteristic
638C22#1568976111yescharacteristic
639C22#1568977211yescharacteristic
640C22#1568977211yescharacteristic
641C22#1568978011yescharacteristic
642C22#1568978011yescharacteristic
643C22#1568979211yescharacteristic
644C22#1568979211yescharacteristic
645C22#1568981111yescharacteristic
646C22#1568981111yescharacteristic
647C22#1568982611yescharacteristic
648C22#1568982611yescharacteristic
649C22#1568982911yescharacteristic
650C22#1568982911yescharacteristic
651C22#1568985011yescharacteristic
652C22#1568985011yescharacteristic
653C4—28no—
654C4—42no—
655C4—42no—
656C4—44no—
657C4—944no—
658C4—3762no—
659C4—1882no—
660C4—1882no—
661C4—1882no—
662C4—1884no—
663C4#1568903018yes—
664C2C2×#1568903011yescharacteristic
665C2#125×Dic4711yescharacteristic
666C2#2024613011yescharacteristic
667C2#2024621811yescharacteristic
668C2#2024622911yescharacteristic
669C2#2024648811yescharacteristic
670C2#2024648811yescharacteristic
671C2#2024709711yescharacteristic
672C2#2024710811yescharacteristic
673C2#2024724511yescharacteristic
674C2#2024725611yescharacteristic
675C2#2024773211yescharacteristic
676C2#2024774311yescharacteristic
677C2#2024840711yescharacteristic
678C2#2024842011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC22×#125×C47C2
socle, prime radical, cosocleC24×C47C24
hypercenterC22×#125D47
hypocenterC47#14054
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#125

Complements

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

NH ≅ G/Ntype
34. C2×#125×C47C4semidirect
277. C2×Dic47#125semidirect
353. C2×#125Dic47semidirect
379. C47#14054semidirect

Maximal subgroups

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

subgroupindex
C2×#156890222
C2×C4⋊C4×Dic472
#202416562
#202416412
#202416202
#202416182
#202416172
C4×C47⋊#952
C22×#125×C472
#1405447