Finite Group Databasebeta

← C127×#13982 #44577655

Subgroups — C127×#13982 #44577655

Order 32512.

1326 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#389×C127C211yesmaximal, characteristic
2C2×#382×C127C211yesmaximal, characteristic
3C2×C4×C4⋊C4×C127C211yesmaximal, characteristic
4C127×#1445C212yesmaximal
5C127×#1443C212yesmaximal
6C127×#1436C212yesmaximal
7C127×C4⋊#95C211yesmaximal, characteristic
8C127×C4⋊#95C211yesmaximal, characteristic
9C127×C4⋊#95C211yesmaximal, characteristic
10C127×#1434C212yesmaximal
11C4×#95×C127C211yesmaximal, characteristic
12C22×C4⋊C4×C127C2211yescharacteristic
13C22×C4⋊C4×C127C2211yescharacteristic
14C22×C4⋊C4×C127C2211yescharacteristic
15C22×C4⋊C4×C127C2211yescharacteristic
16C22×C4⋊C4×C127C2212yes—
17C22×C42×C127C2211yescharacteristic
18C22×C42×C127C2212yes—
19C22×C42×C127C2211yescharacteristic
20C22×C42×C127C2211yescharacteristic
21#389×C127C418yescomplemented
22#382×C127—24no—
23C4×C4⋊C4×C127—24no—
24C2×#95×C127C2211yescharacteristic
25C2×#95×C127C2211yescharacteristic
26C2×#95×C127C2211yescharacteristic
27C2×#95×C127C2211yescharacteristic
28C2×#95×C127C2212yes—
29C2×#95×C127C2212yes—
30C2×#95×C127C2212yes—
31C2×#95×C127C2212yes—
32C2×#95×C127C2212yes—
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2212yes—
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C23×C4×C127C2312yes—
39C23×C4×C127C2311yescharacteristic
40C23×C4×C127C2312yes—
41C23×C4×C127C2311yescharacteristic
42C23×C4×C127C2312yes—
43C23×C4×C127C2312yes—
44C23×C4×C127C2311yescharacteristic
45C23×C4×C127C2311yescharacteristic
46C23×C4×C127C2311yescharacteristic
47C23×C4×C127C2311yescharacteristic
48C23×C4×C127C2311yescharacteristic
49C2×C4⋊C4×C127—22no—
50C2×C4⋊C4×C127—22no—
51C2×C4⋊C4×C127—22no—
52C2×C4⋊C4×C127—22no—
53C2×C4⋊C4×C127—22no—
54C2×C4⋊C4×C127—22no—
55C2×C4⋊C4×C127—22no—
56C2×C4⋊C4×C127—22no—
57C2×C4⋊C4×C127—22no—
58C2×C4⋊C4×C127—42no—
59C2×C4⋊C4×C127—42no—
60C2×C4⋊C4×C127C2×C414yes—
61C2×C4⋊C4×C127C2×C414yes—
62C2×C4⋊C4×C127C2×C418yes—
63C2×C4⋊C4×C127D414yes—
64C2×C42×C127—22no—
65C2×C42×C127—22no—
66C2×C42×C127—22no—
67C2×C42×C127—22no—
68C2×C42×C127—24no—
69C2×C42×C127—24no—
70C2×C42×C127—22no—
71C2×C42×C127—22no—
72C2×C42×C127—22no—
73C2×C42×C127—42no—
74C2×C42×C127C2×C414yes—
75C2×C42×C127Q814yes—
76#95×C127—24no—
77#95×C127—24no—
78#95×C127—24no—
79#95×C127—22no—
80#95×C127—22no—
81#95×C127—24no—
82#95×C127—22no—
83#95×C127—22no—
84#95×C127—24no—
85#95×C127—24no—
86#95×C127—42no—
87#95×C127—42no—
88#95×C127—42no—
89#95×C127C2×C418yes—
90C24×C127C2411yescharacteristic
91C22×C4×C127—21no—
92C22×C4×C127—21no—
93C22×C4×C127—21no—
94C22×C4×C127—21no—
95C22×C4×C127—21no—
96C22×C4×C127—21no—
97C22×C4×C127—21no—
98C22×C4×C127—22no—
99C22×C4×C127—21no—
100C22×C4×C127—21no—
101C22×C4×C127—21no—
102C22×C4×C127—21no—
103C22×C4×C127—22no—
104C22×C4×C127—22no—
105C22×C4×C127—22no—
106C22×C4×C127—21no—
107C22×C4×C127—21no—
108C22×C4×C127—21no—
109C22×C4×C127—21no—
110C22×C4×C127—22no—
111C22×C4×C127—21no—
112C22×C4×C127—21no—
113C22×C4×C127—22no—
114C22×C4×C127—21no—
115C22×C4×C127—21no—
116C22×C4×C127—21no—
117C22×C4×C127—22no—
118C22×C4×C127—21no—
119C22×C4×C127—21no—
120C22×C4×C127—21no—
121C22×C4×C127—21no—
122C22×C4×C127—22no—
123C22×C4×C127—22no—
124C22×C4×C127—22no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—21no—
128C22×C4×C127—21no—
129C22×C4×C127—21no—
130C22×C4×C127—22no—
131C22×C4×C127—22no—
132C22×C4×C127—22no—
133C22×C4×C127—22no—
134C22×C4×C127—22no—
135C22×C4×C127—21no—
136C22×C4×C127—21no—
137C22×C4×C127—21no—
138C22×C4×C127—21no—
139C22×C4×C127—21no—
140C22×C4×C127—22no—
141C22×C4×C127—21no—
142C22×C4×C127—21no—
143C22×C4×C127—22no—
144C22×C4×C127—22no—
145C22×C4×C127—22no—
146C22×C4×C127—22no—
147C22×C4×C127—22no—
148C22×C4×C127—22no—
149C22×C4×C127—22no—
150C22×C4×C127C22×C412yes—
151C22×C4×C127C22×C414yes—
152C22×C4×C127C22×C414yes—
153C22×C4×C127C22×C412yes—
154C22×C4×C127C22×C412yes—
155C22×C4×C127C2×D414yes—
156C22×C4×C127C2×D412yes—
157C22×C4×C127C2×Q812yes—
158C22×C4×C127C2×Q812yes—
159C22×C4×C127C2×Q812yes—
160C22×C4×C127#4112yes—
161C22×C4×C127#4112yes—
162C22×C4×C127#4112yes—
163C22×C4×C127#4112yes—
164C22×C4×C127#4112yes—
165C22×C4×C127#4112yes—
166C22×C4×C127#4112yes—
167C22×C4×C127#4112yes—
168C4⋊C4×C127—28no—
169C4⋊C4×C127—28no—
170C4⋊C4×C127—28no—
171C4⋊C4×C127—48no—
172C4⋊C4×C127—44no—
173C42×C127—28no—
174C42×C127—28no—
175C42×C127—48no—
176C42×C127—44no—
177C23×C127C23×C411yescharacteristic
178C23×C127C22×D411yescharacteristic
179C23×C127C22×Q811yescharacteristic
180C23×C127C2×#4111yescharacteristic
181C23×C127C2×#4111yescharacteristic
182C23×C127C2×#4111yescharacteristic
183C23×C127C2×#4111yescharacteristic
184C23×C127C2×#4111yescharacteristic
185C23×C127C2×#4111yescharacteristic
186C23×C127C2×#4111yescharacteristic
187C23×C127C2×#4111yescharacteristic
188C23×C127H(5,𝔽2)11yescharacteristic
189C23×C127H(5,𝔽2)11yescharacteristic
190C23×C1272−1+411yescharacteristic
191C23×C1272−1+411yescharacteristic
192C2×C4×C127—22no—
193C2×C4×C127—22no—
194C2×C4×C127—22no—
195C2×C4×C127—22no—
196C2×C4×C127—22no—
197C2×C4×C127—22no—
198C2×C4×C127—24no—
199C2×C4×C127—22no—
200C2×C4×C127—22no—
201C2×C4×C127—24no—
202C2×C4×C127—24no—
203C2×C4×C127—22no—
204C2×C4×C127—22no—
205C2×C4×C127—24no—
206C2×C4×C127—22no—
207C2×C4×C127—24no—
208C2×C4×C127—24no—
209C2×C4×C127—22no—
210C2×C4×C127—22no—
211C2×C4×C127—24no—
212C2×C4×C127—22no—
213C2×C4×C127—22no—
214C2×C4×C127—22no—
215C2×C4×C127—22no—
216C2×C4×C127—24no—
217C2×C4×C127—24no—
218C2×C4×C127—22no—
219C2×C4×C127—22no—
220C2×C4×C127—22no—
221C2×C4×C127—22no—
222C2×C4×C127—41no—
223C2×C4×C127—41no—
224C2×C4×C127—42no—
225C2×C4×C127—42no—
226C2×C4×C127—41no—
227C2×C4×C127—41no—
228C2×C4×C127—42no—
229C2×C4×C127—41no—
230C2×C4×C127—41no—
231C2×C4×C127—41no—
232C2×C4×C127—41no—
233C2×C4×C127—41no—
234C2×C4×C127—42no—
235C2×C4×C127—41no—
236C2×C4×C127—41no—
237C2×C4×C127—41no—
238C2×C4×C127—41no—
239C2×C4×C127—42no—
240C2×C4×C127—42no—
241C2×C4×C127—41no—
242C2×C4×C127—42no—
243C2×C4×C127—41no—
244C2×C4×C127—41no—
245C2×C4×C127—41no—
246C2×C4×C127—42no—
247C2×C4×C127—41no—
248C2×C4×C127—41no—
249C2×C4×C127—42no—
250C2×C4×C127—41no—
251C2×C4×C127—42no—
252C2×C4×C127—42no—
253C2×C4×C127—42no—
254C2×C4×C127—42no—
255C2×C4×C127—42no—
256C2×C4×C127—42no—
257C2×C4×C127—42no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—42no—
261C2×C4×C127#11714yes—
262C2×C4×C127C4×D414yes—
263C2×C4×C127C4×Q814yes—
264C2×C4×C127C22⋊Q814yes—
265C2×C4×C127#12314yes—
266C2×C4×C127#12514yes—
267C2×C4×C127#12514yes—
268C2×C4×C127#12614yes—
269C22×C127C2×#11711yescharacteristic
270C22×C127C2×C4×D411yescharacteristic
271C22×C127C2×C4×Q811yescharacteristic
272C22×C127C4×#4111yescharacteristic
273C22×C127C4×#4111yescharacteristic
274C22×C127#51811yescharacteristic
275C22×C127#51911yescharacteristic
276C22×C127C2×C22⋊Q811yescharacteristic
277C22×C127C2×#12311yescharacteristic
278C22×C127C2×#12511yescharacteristic
279C22×C127C2×#12511yescharacteristic
280C22×C127C2×#12611yescharacteristic
281C22×C127#52911yescharacteristic
282C22×C127#52911yescharacteristic
283C22×C127#53311yescharacteristic
284C22×C127#54211yescharacteristic
285C22×C127#54211yescharacteristic
286C22×C127#54411yescharacteristic
287C22×C127#54411yescharacteristic
288C22×C127#54611yescharacteristic
289C22×C127#54711yescharacteristic
290C22×C127#54811yescharacteristic
291C22×C127#55011yescharacteristic
292C22×C127#55211yescharacteristic
293C22×C127#55211yescharacteristic
294C22×C127#55211yescharacteristic
295C22×C127#55311yescharacteristic
296C22×C127#55311yescharacteristic
297C22×C127#55311yescharacteristic
298C22×C127#55511yescharacteristic
299C22×C127#55611yescharacteristic
300C22×C127#55611yescharacteristic
301C22×C127#55611yescharacteristic
302C22×C127#55911yescharacteristic
303C22×C127#55911yescharacteristic
304C4×C127—24no—
305C4×C127—44no—
306C4×C127—42no—
307C4×C127—42no—
308C4×C127—44no—
309C4×C127—42no—
310C4×C127—44no—
311C4×C127—42no—
312C4×C127—42no—
313C4×C127—82no—
314C4×C127#38718yes—
315#13982C12711yesmaximal, characteristic, direct product factor, Sylow
316C2×C127C2×#38711yescharacteristic
317C2×C127C4×#12511yescharacteristic
318C2×C127#233111yescharacteristic
319C2×C127#235611yescharacteristic
320C2×C127#235711yescharacteristic
321C2×C127#236211yescharacteristic
322C2×C127#236311yescharacteristic
323C2×C127#244111yescharacteristic
324C2×C127#244211yescharacteristic
325C2×C127#244711yescharacteristic
326C2×C127#244811yescharacteristic
327C2×C127#249411yescharacteristic
328C2×C127#249511yescharacteristic
329C2×C127#257011yescharacteristic
330C2×C127#257111yescharacteristic
331C2×#389C2×C12711yescharacteristic
332C2×#382C2×C12711yescharacteristic
333C2×C4×C4⋊C4C2×C12711yescharacteristic
334#1445C2×C12712yes—
335#1443C2×C12712yes—
336#1436C2×C12712yes—
337C4⋊#95C2×C12711yescharacteristic
338C4⋊#95C2×C12711yescharacteristic
339C4⋊#95C2×C12711yescharacteristic
340#1434C2×C12712yes—
341C4×#95C2×C12711yescharacteristic
342C127#1398211yescharacteristic, direct product factor, Sylow
343C22×C4⋊C4C22×C12711yescharacteristic
344C22×C4⋊C4C22×C12711yescharacteristic
345C22×C4⋊C4C22×C12711yescharacteristic
346C22×C4⋊C4C22×C12711yescharacteristic
347C22×C4⋊C4C22×C12712yes—
348C22×C42C22×C12711yescharacteristic
349C22×C42C22×C12712yes—
350C22×C42C22×C12711yescharacteristic
351C22×C42C22×C12711yescharacteristic
352#389C4×C12718yescomplemented
353#382—24no—
354C4×C4⋊C4—24no—
355C2×#95C22×C12711yescharacteristic
356C2×#95C22×C12711yescharacteristic
357C2×#95C22×C12711yescharacteristic
358C2×#95C22×C12711yescharacteristic
359C2×#95C22×C12712yes—
360C2×#95C22×C12712yes—
361C2×#95C22×C12712yes—
362C2×#95C22×C12712yes—
363C2×#95C22×C12712yes—
364C2×#95C22×C12712yes—
365C2×#95C22×C12712yes—
366C2×#95C22×C12712yes—
367C2×#95C22×C12712yes—
368C2×#95C22×C12712yes—
369C23×C4C23×C12712yes—
370C23×C4C23×C12712yes—
371C23×C4C23×C12711yescharacteristic
372C23×C4C23×C12712yes—
373C23×C4C23×C12711yescharacteristic
374C23×C4C23×C12712yes—
375C23×C4C23×C12711yescharacteristic
376C23×C4C23×C12711yescharacteristic
377C23×C4C23×C12711yescharacteristic
378C23×C4C23×C12711yescharacteristic
379C23×C4C23×C12711yescharacteristic
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—42no—
390C2×C4⋊C4—42no—
391C2×C4⋊C4C2×C4×C12714yes—
392C2×C4⋊C4C2×C4×C12714yes—
393C2×C4⋊C4C2×C4×C12718yes—
394C2×C4⋊C4D4×C12714yes—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—24no—
400C2×C42—24no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—42no—
405C2×C42C2×C4×C12714yes—
406C2×C42Q8×C12714yes—
407#95—24no—
408#95—24no—
409#95—24no—
410#95—22no—
411#95—22no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—24no—
416#95—24no—
417#95—42no—
418#95—42no—
419#95—42no—
420#95C2×C4×C12718yes—
421C24C24×C12711yescharacteristic
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4C22×C4×C12712yes—
482C22×C4C22×C4×C12714yes—
483C22×C4C22×C4×C12714yes—
484C22×C4C22×C4×C12712yes—
485C22×C4C22×C4×C12712yes—
486C22×C4C2×D4×C12714yes—
487C22×C4C2×D4×C12712yes—
488C22×C4C2×Q8×C12712yes—
489C22×C4C2×Q8×C12712yes—
490C22×C4C2×Q8×C12712yes—
491C22×C4#41×C12712yes—
492C22×C4#41×C12712yes—
493C22×C4#41×C12712yes—
494C22×C4#41×C12712yes—
495C22×C4#41×C12712yes—
496C22×C4#41×C12712yes—
497C22×C4#41×C12712yes—
498C22×C4#41×C12712yes—
499C4⋊C4—28no—
500C4⋊C4—28no—
501C4⋊C4—28no—
502C4⋊C4—48no—
503C4⋊C4—44no—
504C42—28no—
505C42—28no—
506C42—48no—
507C42—44no—
508C23C23×C4×C12711yescharacteristic
509C23C22×D4×C12711yescharacteristic
510C23C22×Q8×C12711yescharacteristic
511C23C2×#41×C12711yescharacteristic
512C23C2×#41×C12711yescharacteristic
513C23C2×#41×C12711yescharacteristic
514C23C2×#41×C12711yescharacteristic
515C23C2×#41×C12711yescharacteristic
516C23C2×#41×C12711yescharacteristic
517C23C2×#41×C12711yescharacteristic
518C23C2×#41×C12711yescharacteristic
519C23H(5,𝔽2)×C12711yescharacteristic
520C23H(5,𝔽2)×C12711yescharacteristic
521C232−1+4×C12711yescharacteristic
522C232−1+4×C12711yescharacteristic
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—24no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—24no—
533C2×C4—24no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—24no—
537C2×C4—22no—
538C2×C4—24no—
539C2×C4—24no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—24no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—42no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—42no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—41no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—42no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4#117×C12714yes—
593C2×C4C4×D4×C12714yes—
594C2×C4C4×Q8×C12714yes—
595C2×C4C22⋊Q8×C12714yes—
596C2×C4#123×C12714yes—
597C2×C4#125×C12714yes—
598C2×C4#125×C12714yes—
599C2×C4#126×C12714yes—
600C22C2×#117×C12711yescharacteristic
601C22C2×C4×D4×C12711yescharacteristic
602C22C2×C4×Q8×C12711yescharacteristic
603C22C4×#41×C12711yescharacteristic
604C22C4×#41×C12711yescharacteristic
605C22#518×C12711yescharacteristic
606C22#519×C12711yescharacteristic
607C22C2×C22⋊Q8×C12711yescharacteristic
608C22C2×#123×C12711yescharacteristic
609C22C2×#125×C12711yescharacteristic
610C22C2×#125×C12711yescharacteristic
611C22C2×#126×C12711yescharacteristic
612C22#529×C12711yescharacteristic
613C22#529×C12711yescharacteristic
614C22#533×C12711yescharacteristic
615C22#542×C12711yescharacteristic
616C22#542×C12711yescharacteristic
617C22#544×C12711yescharacteristic
618C22#544×C12711yescharacteristic
619C22#546×C12711yescharacteristic
620C22#547×C12711yescharacteristic
621C22#548×C12711yescharacteristic
622C22#550×C12711yescharacteristic
623C22#552×C12711yescharacteristic
624C22#552×C12711yescharacteristic
625C22#552×C12711yescharacteristic
626C22#553×C12711yescharacteristic
627C22#553×C12711yescharacteristic
628C22#553×C12711yescharacteristic
629C22#555×C12711yescharacteristic
630C22#556×C12711yescharacteristic
631C22#556×C12711yescharacteristic
632C22#556×C12711yescharacteristic
633C22#559×C12711yescharacteristic
634C22#559×C12711yescharacteristic
635C4—24no—
636C4—44no—
637C4—42no—
638C4—42no—
639C4—44no—
640C4—42no—
641C4—44no—
642C4—42no—
643C4—42no—
644C4—82no—
645C4#387×C12718yes—
646C2C2×#387×C12711yescharacteristic
647C2C4×#125×C12711yescharacteristic
648C2C127×#233111yescharacteristic
649C2C127×#235611yescharacteristic
650C2C127×#235711yescharacteristic
651C2C127×#236211yescharacteristic
652C2C127×#236311yescharacteristic
653C2C127×#244111yescharacteristic
654C2C127×#244211yescharacteristic
655C2C127×#244711yescharacteristic
656C2C127×#244811yescharacteristic
657C2C127×#249411yescharacteristic
658C2C127×#249511yescharacteristic
659C2C127×#257011yescharacteristic
660C2C127×#257111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C127C24
commutatorC23C23×C4×C127
Frattini, cosocleC24C24×C127
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
21. #389×C127C4semidirect
315. #13982C127direct (N × H)
342. C127#13982direct (N × H)
352. #389C4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#389×C1272
C2×#382×C1272
C2×C4×C4⋊C4×C1272
C127×#14452
C127×#14432
C127×#14362
C127×C4⋊#952
C127×#14342
C4×#95×C1272
#13982127