Finite Group Databasebeta

← C127×#15464 #44579137

Subgroups — C127×#15464 #44579137

Order 32512.

1934 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#123×C127C211yesmaximal, characteristic
2C2×#400×C127C211yesmaximal, characteristic, complemented
3C2×#398×C127C211yesmaximal, characteristic, complemented
4C2×#390×C127C211yesmaximal, characteristic
5C127×#1440C212yesmaximal, complemented
6C127×#1439C212yesmaximal, complemented
7C127×#1439C212yesmaximal, complemented
8C127×#1438C211yesmaximal, characteristic
9C127×#1436C211yesmaximal, characteristic, complemented
10C127×#1436C211yesmaximal, characteristic, complemented
11C127×C22⋊#95C212yesmaximal, complemented
12C23×D4×C127C2211yescharacteristic
13C24×C4×C127C2211yescharacteristic
14C2×#123×C127—24no—
15C2×#123×C127—24no—
16C2×#123×C127—24no—
17C22×C4⋊C4×C127C2211yescharacteristic
18C22×C4⋊C4×C127C2211yescharacteristic
19C22×C4⋊C4×C127C2211yescharacteristic
20C22×C4⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2211yescharacteristic
22C22×C22⋊C4×C127C2211yescharacteristic
23C22×C22⋊C4×C127C2211yescharacteristic
24C22×C22⋊C4×C127C2212yes—
25C22×C22⋊C4×C127C2212yes—
26C22×C22⋊C4×C127C2212yes—
27C22×C22⋊C4×C127C2212yes—
28C22×C42×C127C2211yescharacteristic
29#400×C127—24no—
30#398×C127—24no—
31#390×C127—24no—
32C2×#95×C127C2212yes—
33C2×#95×C127C2211yescharacteristic
34C2×#95×C127C2212yes—
35C2×#95×C127C2211yescharacteristic
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C2×#95×C127C2212yes—
39C2×#95×C127C2212yes—
40C2×#95×C127C2212yes—
41C25×C127C2311yescharacteristic
42C25×C127C2311yescharacteristic
43C22×D4×C127—24no—
44C22×D4×C127—22no—
45C22×D4×C127—22no—
46C22×D4×C127—42no—
47C22×D4×C127D414yes—
48C23×C4×C127—22no—
49C23×C4×C127—22no—
50C23×C4×C127—22no—
51C23×C4×C127—24no—
52C23×C4×C127—42no—
53C23×C4×C127C2312yes—
54C23×C4×C127C2312yes—
55C23×C4×C127C2311yescharacteristic
56C23×C4×C127C2311yescharacteristic
57C23×C4×C127C2311yescharacteristic
58C23×C4×C127C2311yescharacteristic
59C23×C4×C127C2312yes—
60C23×C4×C127C2312yes—
61C23×C4×C127C2311yescharacteristic
62#123×C127—232no—
63C2×C4⋊C4×C127—22no—
64C2×C4⋊C4×C127—22no—
65C2×C4⋊C4×C127—22no—
66C2×C4⋊C4×C127—22no—
67C2×C4⋊C4×C127—22no—
68C2×C4⋊C4×C127—24no—
69C2×C4⋊C4×C127—22no—
70C2×C4⋊C4×C127—22no—
71C2×C4⋊C4×C127—42no—
72C2×C4⋊C4×C127—42no—
73C2×C4⋊C4×C127D414yes—
74C2×C4⋊C4×C127D414yes—
75C2×C22⋊C4×C127—22no—
76C2×C22⋊C4×C127—22no—
77C2×C22⋊C4×C127—22no—
78C2×C22⋊C4×C127—22no—
79C2×C22⋊C4×C127—22no—
80C2×C22⋊C4×C127—22no—
81C2×C22⋊C4×C127—22no—
82C2×C22⋊C4×C127—22no—
83C2×C22⋊C4×C127—22no—
84C2×C22⋊C4×C127—24no—
85C2×C22⋊C4×C127—24no—
86C2×C22⋊C4×C127—24no—
87C2×C22⋊C4×C127—24no—
88C2×C22⋊C4×C127—24no—
89C2×C22⋊C4×C127—24no—
90C2×C22⋊C4×C127—24no—
91C2×C22⋊C4×C127—42no—
92C2×C22⋊C4×C127—42no—
93C2×C22⋊C4×C127—42no—
94C2×C22⋊C4×C127—42no—
95C2×C22⋊C4×C127—42no—
96C2×C42×C127—22no—
97C2×C42×C127—42no—
98#95×C127—22no—
99#95×C127—24no—
100#95×C127—22no—
101#95×C127—24no—
102#95×C127—24no—
103#95×C127—24no—
104#95×C127—24no—
105#95×C127—42no—
106#95×C127—42no—
107C24×C127—21no—
108C24×C127—21no—
109C24×C127—22no—
110C24×C127—22no—
111C24×C127—22no—
112C24×C127—22no—
113C24×C127—22no—
114C24×C127—21no—
115C24×C127—21no—
116C24×C127—22no—
117C24×C127—22no—
118C24×C127—22no—
119C24×C127—22no—
120C24×C127—22no—
121C24×C127—22no—
122C24×C127C2×D412yes—
123C24×C127C2×D412yes—
124C24×C127#4114yes—
125C24×C127C2411yescharacteristic
126C2×D4×C127—28no—
127C2×D4×C127—28no—
128C2×D4×C127—44no—
129C2×D4×C127—48no—
130C2×D4×C127—48no—
131C22×C4×C127—22no—
132C22×C4×C127—22no—
133C22×C4×C127—28no—
134C22×C4×C127—22no—
135C22×C4×C127—22no—
136C22×C4×C127—21no—
137C22×C4×C127—21no—
138C22×C4×C127—21no—
139C22×C4×C127—21no—
140C22×C4×C127—21no—
141C22×C4×C127—21no—
142C22×C4×C127—21no—
143C22×C4×C127—21no—
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×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—22no—
154C22×C4×C127—22no—
155C22×C4×C127—22no—
156C22×C4×C127—22no—
157C22×C4×C127—22no—
158C22×C4×C127—22no—
159C22×C4×C127—22no—
160C22×C4×C127—22no—
161C22×C4×C127—22no—
162C22×C4×C127—22no—
163C22×C4×C127—22no—
164C22×C4×C127—22no—
165C22×C4×C127—22no—
166C22×C4×C127—22no—
167C22×C4×C127—22no—
168C22×C4×C127—22no—
169C22×C4×C127—22no—
170C22×C4×C127—22no—
171C22×C4×C127—22no—
172C22×C4×C127—22no—
173C22×C4×C127—22no—
174C22×C4×C127—22no—
175C22×C4×C127—22no—
176C22×C4×C127—48no—
177C22×C4×C127—48no—
178C22×C4×C127—44no—
179C22×C4×C127—44no—
180C22×C4×C127C2×D412yes—
181C22×C4×C127C2×D412yes—
182C22×C4×C127C2×D412yes—
183C22×C4×C127C2×D412yes—
184C22×C4×C127C2×D412yes—
185C22×C4×C127C2×D412yes—
186C22×C4×C127C2×D412yes—
187C22×C4×C127#4114yes—
188C22×C4×C127#4114yes—
189C4⋊C4×C127—28no—
190C4⋊C4×C127—28no—
191C4⋊C4×C127—48no—
192C4⋊C4×C127—44no—
193C22⋊C4×C127—28no—
194C22⋊C4×C127—28no—
195C22⋊C4×C127—28no—
196C22⋊C4×C127—48no—
197C22⋊C4×C127—48no—
198C22⋊C4×C127—48no—
199C22⋊C4×C127—48no—
200C42×C127—44no—
201C23×C127—22no—
202C23×C127—24no—
203C23×C127—22no—
204C23×C127—24no—
205C23×C127—24no—
206C23×C127—24no—
207C23×C127—24no—
208C23×C127—24no—
209C23×C127—24no—
210C23×C127—24no—
211C23×C127—22no—
212C23×C127—22no—
213C23×C127—22no—
214C23×C127—24no—
215C23×C127—24no—
216C23×C127—41no—
217C23×C127—41no—
218C23×C127—41no—
219C23×C127—41no—
220C23×C127—42no—
221C23×C127—42no—
222C23×C127—42no—
223C23×C127—42no—
224C23×C127—42no—
225C23×C127—42no—
226C23×C127—42no—
227C23×C127—41no—
228C23×C127—41no—
229C23×C127—41no—
230C23×C127—41no—
231C23×C127—42no—
232C23×C127—42no—
233C23×C127—42no—
234C23×C127—42no—
235C23×C127—42no—
236C23×C127—42no—
237C23×C127—42no—
238C23×C127—42no—
239C23×C127—42no—
240C23×C127—42no—
241C23×C127—42no—
242C23×C127#12314yes—
243C23×C127C22×D411yescharacteristic
244C23×C127C22×D411yescharacteristic
245C23×C127C22×D411yescharacteristic
246C23×C127C2×#4112yes—
247C23×C127C2×#4112yes—
248C23×C127C2×#4112yes—
249C23×C127H(5,𝔽2)12yes—
250C23×C127H(5,𝔽2)12yes—
251C23×C1272−1+412yes—
252D4×C127—416no—
253C2×C4×C127—22no—
254C2×C4×C127—22no—
255C2×C4×C127—24no—
256C2×C4×C127—24no—
257C2×C4×C127—22no—
258C2×C4×C127—22no—
259C2×C4×C127—22no—
260C2×C4×C127—22no—
261C2×C4×C127—22no—
262C2×C4×C127—22no—
263C2×C4×C127—22no—
264C2×C4×C127—22no—
265C2×C4×C127—24no—
266C2×C4×C127—24no—
267C2×C4×C127—24no—
268C2×C4×C127—24no—
269C2×C4×C127—24no—
270C2×C4×C127—24no—
271C2×C4×C127—24no—
272C2×C4×C127—24no—
273C2×C4×C127—416no—
274C2×C4×C127—41no—
275C2×C4×C127—41no—
276C2×C4×C127—42no—
277C2×C4×C127—41no—
278C2×C4×C127—41no—
279C2×C4×C127—42no—
280C2×C4×C127—42no—
281C2×C4×C127—42no—
282C2×C4×C127—42no—
283C2×C4×C127—42no—
284C2×C4×C127—42no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127—42no—
289C2×C4×C127—42no—
290C2×C4×C127—42no—
291C2×C4×C127—42no—
292C2×C4×C127—42no—
293C2×C4×C127—42no—
294C2×C4×C127—42no—
295C2×C4×C127—42no—
296C2×C4×C127—42no—
297C2×C4×C127—42no—
298C2×C4×C127—42no—
299C2×C4×C127—42no—
300C2×C4×C127—42no—
301C2×C4×C127—42no—
302C2×C4×C127—42no—
303C2×C4×C127—42no—
304C2×C4×C127—42no—
305C2×C4×C127—42no—
306C2×C4×C127#12014yes—
307C22×C127—24no—
308C22×C127—28no—
309C22×C127—42no—
310C22×C127—42no—
311C22×C127—44no—
312C22×C127—44no—
313C22×C127—44no—
314C22×C127—44no—
315C22×C127—44no—
316C22×C127—42no—
317C22×C127—44no—
318C22×C127—42no—
319C22×C127—42no—
320C22×C127—44no—
321C22×C127—82no—
322C22×C127—82no—
323C22×C127—82no—
324C22×C127—82no—
325C22×C127C2×#12011yescharacteristic
326C22×C127C2×#12311yescharacteristic
327C22×C127#52912yes—
328C22×C127#53211yescharacteristic
329C22×C127#53211yescharacteristic
330C22×C127#53411yescharacteristic
331C22×C127#53511yescharacteristic
332C22×C127#53611yescharacteristic
333C22×C127#53812yes—
334C22×C127#53912yes—
335C22×C127#53912yes—
336C22×C127#54612yes—
337C22×C127#54612yes—
338C22×C127#54612yes—
339C22×C127#54712yes—
340C22×C127#54812yes—
341C22×C127#55012yes—
342C22×C127#55112yes—
343C22×C127#55212yes—
344C22×C127#55312yes—
345C22×C127#56212yes—
346C4×C127—24no—
347C4×C127—42no—
348C4×C127—42no—
349C4×C127—42no—
350C4×C127—42no—
351C4×C127—44no—
352C4×C127—44no—
353C4×C127—82no—
354C4×C127—82no—
355#15464C12711yesmaximal, characteristic, direct product factor, Sylow
356C2×C127—44no—
357C2×C127—82no—
358C2×C127#240511yescharacteristic
359C2×C127#241912yes—
360C2×C127#243111yescharacteristic
361C2×C127#243211yescharacteristic
362C2×C127#255412yes—
363C2×C127#255812yes—
364C2×C127#269412yes—
365C2×C127#269612yes—
366C2×C127#270812yes—
367C22×#123C2×C12711yescharacteristic
368C2×#400C2×C12711yescharacteristic, complemented
369C2×#398C2×C12711yescharacteristic, complemented
370C2×#390C2×C12711yescharacteristic
371#1440C2×C12712yescomplemented
372#1439C2×C12712yescomplemented
373#1439C2×C12712yescomplemented
374#1438C2×C12711yescharacteristic
375#1436C2×C12711yescharacteristic, complemented
376#1436C2×C12711yescharacteristic, complemented
377C22⋊#95C2×C12712yescomplemented
378C127#1546411yescharacteristic, direct product factor, Sylow
379C23×D4C22×C12711yescharacteristic
380C24×C4C22×C12711yescharacteristic
381C2×#123—24no—
382C2×#123—24no—
383C2×#123—24no—
384C22×C4⋊C4C22×C12711yescharacteristic
385C22×C4⋊C4C22×C12711yescharacteristic
386C22×C4⋊C4C22×C12711yescharacteristic
387C22×C4⋊C4C22×C12712yes—
388C22×C22⋊C4C22×C12711yescharacteristic
389C22×C22⋊C4C22×C12711yescharacteristic
390C22×C22⋊C4C22×C12711yescharacteristic
391C22×C22⋊C4C22×C12712yes—
392C22×C22⋊C4C22×C12712yes—
393C22×C22⋊C4C22×C12712yes—
394C22×C22⋊C4C22×C12712yes—
395C22×C42C22×C12711yescharacteristic
396#400—24no—
397#398—24no—
398#390—24no—
399C2×#95C22×C12712yes—
400C2×#95C22×C12711yescharacteristic
401C2×#95C22×C12712yes—
402C2×#95C22×C12711yescharacteristic
403C2×#95C22×C12712yes—
404C2×#95C22×C12712yes—
405C2×#95C22×C12712yes—
406C2×#95C22×C12712yes—
407C2×#95C22×C12712yes—
408C25C23×C12711yescharacteristic
409C25C23×C12711yescharacteristic
410C22×D4—24no—
411C22×D4—22no—
412C22×D4—22no—
413C22×D4—42no—
414C22×D4D4×C12714yes—
415C23×C4—22no—
416C23×C4—22no—
417C23×C4—22no—
418C23×C4—24no—
419C23×C4—42no—
420C23×C4C23×C12712yes—
421C23×C4C23×C12712yes—
422C23×C4C23×C12711yescharacteristic
423C23×C4C23×C12711yescharacteristic
424C23×C4C23×C12711yescharacteristic
425C23×C4C23×C12711yescharacteristic
426C23×C4C23×C12712yes—
427C23×C4C23×C12712yes—
428C23×C4C23×C12711yescharacteristic
429#123—232no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—24no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—42no—
439C2×C4⋊C4—42no—
440C2×C4⋊C4D4×C12714yes—
441C2×C4⋊C4D4×C12714yes—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4—22no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—42no—
459C2×C22⋊C4—42no—
460C2×C22⋊C4—42no—
461C2×C22⋊C4—42no—
462C2×C22⋊C4—42no—
463C2×C42—22no—
464C2×C42—42no—
465#95—22no—
466#95—24no—
467#95—22no—
468#95—24no—
469#95—24no—
470#95—24no—
471#95—24no—
472#95—42no—
473#95—42no—
474C24—21no—
475C24—21no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—21no—
482C24—21no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24C2×D4×C12712yes—
490C24C2×D4×C12712yes—
491C24#41×C12714yes—
492C24C24×C12711yescharacteristic
493C2×D4—28no—
494C2×D4—28no—
495C2×D4—44no—
496C2×D4—48no—
497C2×D4—48no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—28no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—48no—
544C22×C4—48no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4C2×D4×C12712yes—
548C22×C4C2×D4×C12712yes—
549C22×C4C2×D4×C12712yes—
550C22×C4C2×D4×C12712yes—
551C22×C4C2×D4×C12712yes—
552C22×C4C2×D4×C12712yes—
553C22×C4C2×D4×C12712yes—
554C22×C4#41×C12714yes—
555C22×C4#41×C12714yes—
556C4⋊C4—28no—
557C4⋊C4—28no—
558C4⋊C4—48no—
559C4⋊C4—44no—
560C22⋊C4—28no—
561C22⋊C4—28no—
562C22⋊C4—28no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C42—44no—
568C23—22no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23#123×C12714yes—
610C23C22×D4×C12711yescharacteristic
611C23C22×D4×C12711yescharacteristic
612C23C22×D4×C12711yescharacteristic
613C23C2×#41×C12712yes—
614C23C2×#41×C12712yes—
615C23C2×#41×C12712yes—
616C23H(5,𝔽2)×C12712yes—
617C23H(5,𝔽2)×C12712yes—
618C232−1+4×C12712yes—
619D4—416no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—416no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4#120×C12714yes—
674C22—24no—
675C22—28no—
676C22—42no—
677C22—42no—
678C22—44no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—42no—
684C22—44no—
685C22—42no—
686C22—42no—
687C22—44no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22C2×#120×C12711yescharacteristic
693C22C2×#123×C12711yescharacteristic
694C22#529×C12712yes—
695C22#532×C12711yescharacteristic
696C22#532×C12711yescharacteristic
697C22#534×C12711yescharacteristic
698C22#535×C12711yescharacteristic
699C22#536×C12711yescharacteristic
700C22#538×C12712yes—
701C22#539×C12712yes—
702C22#539×C12712yes—
703C22#546×C12712yes—
704C22#546×C12712yes—
705C22#546×C12712yes—
706C22#547×C12712yes—
707C22#548×C12712yes—
708C22#550×C12712yes—
709C22#551×C12712yes—
710C22#552×C12712yes—
711C22#553×C12712yes—
712C22#562×C12712yes—
713C4—24no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—44no—
719C4—44no—
720C4—82no—
721C4—82no—
722C2—44no—
723C2—82no—
724C2C127×#240511yescharacteristic
725C2C127×#241912yes—
726C2C127×#243111yescharacteristic
727C2C127×#243211yescharacteristic
728C2C127×#255412yes—
729C2C127×#255812yes—
730C2C127×#269412yes—
731C2C127×#269612yes—
732C2C127×#270812yes—
subgroupG/H
center, socleC24×C127C24
commutator, Frattini, cosocleC24C24×C127
prime radicalC23×D4×C127C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#400×C127C2semidirect
3. C2×#398×C127C2semidirect
5. C127×#1440C2semidirect
6. C127×#1439C2semidirect
7. C127×#1439C2semidirect
9. C127×#1436C2semidirect
10. C127×#1436C2semidirect
11. C127×C22⋊#95C2semidirect
355. #15464C127direct (N × H)
368. C2×#400C2×C127semidirect
369. C2×#398C2×C127semidirect
371. #1440C2×C127semidirect
372. #1439C2×C127semidirect
373. #1439C2×C127semidirect
375. #1436C2×C127semidirect
376. #1436C2×C127semidirect
377. C22⋊#95C2×C127semidirect
378. C127#15464direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#123×C1272
C2×#400×C1272
C2×#398×C1272
C2×#390×C1272
C127×#14402
C127×#14392
C127×#14382
C127×#14362
C127×C22⋊#952
#15464127