Finite Group Databasebeta

← C127×#16884 #44580557

Subgroups — C127×#16884 #44580557

Order 32512.

1622 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#386×C127C211yesmaximal, characteristic
2C2×#380×C127C211yesmaximal, characteristic, complemented
3C127×#1443C212yesmaximal, complemented
4C127×#1442C211yesmaximal, characteristic, complemented
5C127×#1442C211yesmaximal, characteristic, complemented
6C127×#1440C212yesmaximal, complemented
7C127×#1440C212yesmaximal, complemented
8C127×#1439C211yesmaximal, characteristic, complemented
9C127×#1439C211yesmaximal, characteristic, complemented
10C127×#1438C212yesmaximal
11C127×C22⋊#95C211yesmaximal, characteristic, complemented
12C23×D4×C127C2211yescharacteristic
13C24×C4×C127C2211yescharacteristic
14C22×C4⋊C4×C127C2211yescharacteristic
15C22×C4⋊C4×C127C2211yescharacteristic
16C22×C22⋊C4×C127C2211yescharacteristic
17C22×C22⋊C4×C127C2211yescharacteristic
18C22×C22⋊C4×C127C2212yes—
19C22×C22⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2211yescharacteristic
22C22×C22⋊C4×C127C2212yes—
23#386×C127—24no—
24#380×C127—24no—
25C2×#95×C127C2211yescharacteristic
26C2×#95×C127C2211yescharacteristic
27C2×#95×C127C2212yes—
28C2×#95×C127C2212yes—
29C2×#95×C127C2211yescharacteristic
30C2×#95×C127C2211yescharacteristic
31C2×#95×C127C2212yes—
32C2×#95×C127C2212yes—
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2212yes—
36C2×#95×C127C2212yes—
37C25×C127C2311yescharacteristic
38C25×C127C2311yescharacteristic
39C22×D4×C127—22no—
40C22×D4×C127—22no—
41C22×D4×C127—24no—
42C22×D4×C127—22no—
43C22×D4×C127—42no—
44C23×C4×C127—22no—
45C23×C4×C127—22no—
46C23×C4×C127—42no—
47C23×C4×C127—42no—
48C23×C4×C127D414yes—
49C23×C4×C127C2312yes—
50C23×C4×C127C2312yes—
51C23×C4×C127C2311yescharacteristic
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2312yes—
54C23×C4×C127C2312yes—
55C23×C4×C127C2311yescharacteristic
56C23×C4×C127C2311yescharacteristic
57C23×C4×C127C2311yescharacteristic
58C2×C4⋊C4×C127—22no—
59C2×C4⋊C4×C127—22no—
60C2×C4⋊C4×C127—42no—
61C2×C4⋊C4×C127—42no—
62C2×C22⋊C4×C127—24no—
63C2×C22⋊C4×C127—22no—
64C2×C22⋊C4×C127—24no—
65C2×C22⋊C4×C127—24no—
66C2×C22⋊C4×C127—24no—
67C2×C22⋊C4×C127—22no—
68C2×C22⋊C4×C127—22no—
69C2×C22⋊C4×C127—22no—
70C2×C22⋊C4×C127—22no—
71C2×C22⋊C4×C127—42no—
72C2×C22⋊C4×C127—42no—
73C2×C22⋊C4×C127—42no—
74C2×C22⋊C4×C127—42no—
75C2×C22⋊C4×C127—42no—
76C2×C22⋊C4×C127—42no—
77C2×C22⋊C4×C127—42no—
78C2×C22⋊C4×C127—42no—
79C2×C22⋊C4×C127—42no—
80C2×C22⋊C4×C127—42no—
81#95×C127—24no—
82#95×C127—22no—
83#95×C127—22no—
84#95×C127—24no—
85#95×C127—22no—
86#95×C127—22no—
87#95×C127—42no—
88#95×C127—42no—
89#95×C127—42no—
90#95×C127—42no—
91#95×C127—42no—
92#95×C127—42no—
93C24×C127—21no—
94C24×C127—21no—
95C24×C127—21no—
96C24×C127—21no—
97C24×C127—22no—
98C24×C127—21no—
99C24×C127—22no—
100C24×C127—22no—
101C24×C127—21no—
102C24×C127—21no—
103C24×C127—21no—
104C24×C127—21no—
105C24×C127—21no—
106C24×C127—22no—
107C24×C127—22no—
108C24×C127—22no—
109C24×C127—21no—
110C24×C127—22no—
111C24×C127—21no—
112C24×C127C2×D412yes—
113C24×C127#4112yes—
114C24×C127#4114yes—
115C24×C127C2411yescharacteristic
116C2×D4×C127—28no—
117C2×D4×C127—48no—
118C2×D4×C127—48no—
119C2×D4×C127—44no—
120C2×D4×C127—44no—
121C22×C4×C127—22no—
122C22×C4×C127—22no—
123C22×C4×C127—21no—
124C22×C4×C127—21no—
125C22×C4×C127—21no—
126C22×C4×C127—21no—
127C22×C4×C127—22no—
128C22×C4×C127—22no—
129C22×C4×C127—22no—
130C22×C4×C127—22no—
131C22×C4×C127—28no—
132C22×C4×C127—21no—
133C22×C4×C127—21no—
134C22×C4×C127—22no—
135C22×C4×C127—22no—
136C22×C4×C127—22no—
137C22×C4×C127—22no—
138C22×C4×C127—22no—
139C22×C4×C127—22no—
140C22×C4×C127—21no—
141C22×C4×C127—21no—
142C22×C4×C127—22no—
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—21no—
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—21no—
169C22×C4×C127—22no—
170C22×C4×C127—44no—
171C22×C4×C127—44no—
172C22×C4×C127—48no—
173C22×C4×C127—48no—
174C22×C4×C127C2×D412yes—
175C22×C4×C127C2×D412yes—
176C22×C4×C127#4112yes—
177C22×C4×C127#4112yes—
178C22×C4×C127#4112yes—
179C4⋊C4×C127—44no—
180C4⋊C4×C127—44no—
181C22⋊C4×C127—44no—
182C22⋊C4×C127—48no—
183C22⋊C4×C127—48no—
184C22⋊C4×C127—48no—
185C22⋊C4×C127—48no—
186C22⋊C4×C127—44no—
187C22⋊C4×C127—44no—
188C23×C127—22no—
189C23×C127—22no—
190C23×C127—22no—
191C23×C127—22no—
192C23×C127—22no—
193C23×C127—22no—
194C23×C127—24no—
195C23×C127—24no—
196C23×C127—24no—
197C23×C127—24no—
198C23×C127—24no—
199C23×C127—24no—
200C23×C127—22no—
201C23×C127—24no—
202C23×C127—24no—
203C23×C127—22no—
204C23×C127—22no—
205C23×C127—42no—
206C23×C127—42no—
207C23×C127—42no—
208C23×C127—42no—
209C23×C127—41no—
210C23×C127—41no—
211C23×C127—41no—
212C23×C127—41no—
213C23×C127—42no—
214C23×C127—42no—
215C23×C127—41no—
216C23×C127—41no—
217C23×C127—41no—
218C23×C127—41no—
219C23×C127—41no—
220C23×C127—41no—
221C23×C127—42no—
222C23×C127—42no—
223C23×C127—42no—
224C23×C127—42no—
225C23×C127—42no—
226C23×C127—42no—
227C23×C127—42no—
228C23×C127—42no—
229C23×C127—41no—
230C23×C127—41no—
231C23×C127—42no—
232C23×C127—42no—
233C23×C127#12414yes—
234C23×C127C22×D411yescharacteristic
235C23×C127C2×#4111yescharacteristic
236C23×C127C2×#4111yescharacteristic
237C23×C127C2×#4111yescharacteristic
238C23×C127C2×#4111yescharacteristic
239C23×C127C2×#4112yes—
240C23×C127H(5,𝔽2)12yes—
241C23×C127H(5,𝔽2)12yes—
242C23×C127H(5,𝔽2)12yes—
243C23×C127H(5,𝔽2)11yescharacteristic
244C23×C1272−1+411yescharacteristic
245D4×C127—416no—
246C2×C4×C127—22no—
247C2×C4×C127—22no—
248C2×C4×C127—24no—
249C2×C4×C127—24no—
250C2×C4×C127—22no—
251C2×C4×C127—22no—
252C2×C4×C127—22no—
253C2×C4×C127—22no—
254C2×C4×C127—24no—
255C2×C4×C127—416no—
256C2×C4×C127—41no—
257C2×C4×C127—41no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—42no—
261C2×C4×C127—41no—
262C2×C4×C127—42no—
263C2×C4×C127—41no—
264C2×C4×C127—41no—
265C2×C4×C127—41no—
266C2×C4×C127—42no—
267C2×C4×C127—42no—
268C2×C4×C127—42no—
269C2×C4×C127—42no—
270C2×C4×C127—41no—
271C2×C4×C127—41no—
272C2×C4×C127—42no—
273C2×C4×C127—42no—
274C2×C4×C127—42no—
275C2×C4×C127—42no—
276C2×C4×C127—42no—
277C2×C4×C127—42no—
278C2×C4×C127—42no—
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#12314yes—
300C22×C127—24no—
301C22×C127—24no—
302C22×C127—24no—
303C22×C127—42no—
304C22×C127—42no—
305C22×C127—42no—
306C22×C127—44no—
307C22×C127—44no—
308C22×C127—44no—
309C22×C127—44no—
310C22×C127—42no—
311C22×C127—42no—
312C22×C127—42no—
313C22×C127—42no—
314C22×C127—44no—
315C22×C127—44no—
316C22×C127—81no—
317C22×C127—81no—
318C22×C127—82no—
319C22×C127—81no—
320C22×C127—82no—
321C22×C127—81no—
322C22×C127C2×#12311yescharacteristic
323C22×C127#52511yescharacteristic
324C22×C127C2×#12411yescharacteristic
325C22×C127#53411yescharacteristic
326C22×C127#53411yescharacteristic
327C22×C127#53511yescharacteristic
328C22×C127#53711yescharacteristic
329C22×C127#53812yes—
330C22×C127#53812yes—
331C22×C127#53812yes—
332C22×C127#53812yes—
333C22×C127#53912yes—
334C22×C127#54012yes—
335C22×C127#55112yes—
336C22×C127#55112yes—
337C22×C127#55211yescharacteristic
338C22×C127#55311yescharacteristic
339C22×C127#55312yes—
340C22×C127#55312yes—
341C22×C127#55511yescharacteristic
342C22×C127#55611yescharacteristic
343C22×C127#56012yes—
344C22×C127#56212yes—
345C4×C127—24no—
346C4×C127—42no—
347C4×C127—42no—
348C4×C127—82no—
349C4×C127—81no—
350C4×C127—82no—
351C4×C127—81no—
352C4×C127—82no—
353C4×C127—82no—
354#16884C12711yesmaximal, characteristic, direct product factor, Sylow
355C2×C127—44no—
356C2×C127—82no—
357C2×C127#248511yescharacteristic
358C2×C127#250411yescharacteristic
359C2×C127#256111yescharacteristic
360C2×C127#262211yescharacteristic
361C2×C127#263511yescharacteristic
362C2×C127#263911yescharacteristic
363C2×C127#275012yes—
364C2×C127#275612yes—
365C2×C127#277812yes—
366C2×C127#278612yes—
367C2×C127#281311yescharacteristic
368C2×#386C2×C12711yescharacteristic
369C2×#380C2×C12711yescharacteristic, complemented
370#1443C2×C12712yescomplemented
371#1442C2×C12711yescharacteristic, complemented
372#1442C2×C12711yescharacteristic, complemented
373#1440C2×C12712yescomplemented
374#1440C2×C12712yescomplemented
375#1439C2×C12711yescharacteristic, complemented
376#1439C2×C12711yescharacteristic, complemented
377#1438C2×C12712yes—
378C22⋊#95C2×C12711yescharacteristic, complemented
379C127#1688411yescharacteristic, direct product factor, Sylow
380C23×D4C22×C12711yescharacteristic
381C24×C4C22×C12711yescharacteristic
382C22×C4⋊C4C22×C12711yescharacteristic
383C22×C4⋊C4C22×C12711yescharacteristic
384C22×C22⋊C4C22×C12711yescharacteristic
385C22×C22⋊C4C22×C12711yescharacteristic
386C22×C22⋊C4C22×C12712yes—
387C22×C22⋊C4C22×C12712yes—
388C22×C22⋊C4C22×C12712yes—
389C22×C22⋊C4C22×C12711yescharacteristic
390C22×C22⋊C4C22×C12712yes—
391#386—24no—
392#380—24no—
393C2×#95C22×C12711yescharacteristic
394C2×#95C22×C12711yescharacteristic
395C2×#95C22×C12712yes—
396C2×#95C22×C12712yes—
397C2×#95C22×C12711yescharacteristic
398C2×#95C22×C12711yescharacteristic
399C2×#95C22×C12712yes—
400C2×#95C22×C12712yes—
401C2×#95C22×C12712yes—
402C2×#95C22×C12712yes—
403C2×#95C22×C12712yes—
404C2×#95C22×C12712yes—
405C25C23×C12711yescharacteristic
406C25C23×C12711yescharacteristic
407C22×D4—22no—
408C22×D4—22no—
409C22×D4—24no—
410C22×D4—22no—
411C22×D4—42no—
412C23×C4—22no—
413C23×C4—22no—
414C23×C4—42no—
415C23×C4—42no—
416C23×C4D4×C12714yes—
417C23×C4C23×C12712yes—
418C23×C4C23×C12712yes—
419C23×C4C23×C12711yescharacteristic
420C23×C4C23×C12711yescharacteristic
421C23×C4C23×C12712yes—
422C23×C4C23×C12712yes—
423C23×C4C23×C12711yescharacteristic
424C23×C4C23×C12711yescharacteristic
425C23×C4C23×C12711yescharacteristic
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—42no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—42no—
440C2×C22⋊C4—42no—
441C2×C22⋊C4—42no—
442C2×C22⋊C4—42no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—42no—
446C2×C22⋊C4—42no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449#95—24no—
450#95—22no—
451#95—22no—
452#95—24no—
453#95—22no—
454#95—22no—
455#95—42no—
456#95—42no—
457#95—42no—
458#95—42no—
459#95—42no—
460#95—42no—
461C24—21no—
462C24—21no—
463C24—21no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—22no—
469C24—21no—
470C24—21no—
471C24—21no—
472C24—21no—
473C24—21no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—21no—
478C24—22no—
479C24—21no—
480C24C2×D4×C12712yes—
481C24#41×C12712yes—
482C24#41×C12714yes—
483C24C24×C12711yescharacteristic
484C2×D4—28no—
485C2×D4—48no—
486C2×D4—48no—
487C2×D4—44no—
488C2×D4—44no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—28no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
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—21no—
537C22×C4—22no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—48no—
541C22×C4—48no—
542C22×C4C2×D4×C12712yes—
543C22×C4C2×D4×C12712yes—
544C22×C4#41×C12712yes—
545C22×C4#41×C12712yes—
546C22×C4#41×C12712yes—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—48no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—22no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23#124×C12714yes—
602C23C22×D4×C12711yescharacteristic
603C23C2×#41×C12711yescharacteristic
604C23C2×#41×C12711yescharacteristic
605C23C2×#41×C12711yescharacteristic
606C23C2×#41×C12711yescharacteristic
607C23C2×#41×C12712yes—
608C23H(5,𝔽2)×C12712yes—
609C23H(5,𝔽2)×C12712yes—
610C23H(5,𝔽2)×C12712yes—
611C23H(5,𝔽2)×C12711yescharacteristic
612C232−1+4×C12711yescharacteristic
613D4—416no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—416no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
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#123×C12714yes—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—44no—
682C22—44no—
683C22—42no—
684C22—81no—
685C22—81no—
686C22—82no—
687C22—81no—
688C22—82no—
689C22—81no—
690C22C2×#123×C12711yescharacteristic
691C22#525×C12711yescharacteristic
692C22C2×#124×C12711yescharacteristic
693C22#534×C12711yescharacteristic
694C22#534×C12711yescharacteristic
695C22#535×C12711yescharacteristic
696C22#537×C12711yescharacteristic
697C22#538×C12712yes—
698C22#538×C12712yes—
699C22#538×C12712yes—
700C22#538×C12712yes—
701C22#539×C12712yes—
702C22#540×C12712yes—
703C22#551×C12712yes—
704C22#551×C12712yes—
705C22#552×C12711yescharacteristic
706C22#553×C12711yescharacteristic
707C22#553×C12712yes—
708C22#553×C12712yes—
709C22#555×C12711yescharacteristic
710C22#556×C12711yescharacteristic
711C22#560×C12712yes—
712C22#562×C12712yes—
713C4—24no—
714C4—42no—
715C4—42no—
716C4—82no—
717C4—81no—
718C4—82no—
719C4—81no—
720C4—82no—
721C4—82no—
722C2—44no—
723C2—82no—
724C2C127×#248511yescharacteristic
725C2C127×#250411yescharacteristic
726C2C127×#256111yescharacteristic
727C2C127×#262211yescharacteristic
728C2C127×#263511yescharacteristic
729C2C127×#263911yescharacteristic
730C2C127×#275012yes—
731C2C127×#275612yes—
732C2C127×#277812yes—
733C2C127×#278612yes—
734C2C127×#281311yescharacteristic
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×#380×C127C2semidirect
3. C127×#1443C2semidirect
4. C127×#1442C2semidirect
5. C127×#1442C2semidirect
6. C127×#1440C2semidirect
7. C127×#1440C2semidirect
8. C127×#1439C2semidirect
9. C127×#1439C2semidirect
11. C127×C22⋊#95C2semidirect
354. #16884C127direct (N × H)
369. C2×#380C2×C127semidirect
370. #1443C2×C127semidirect
371. #1442C2×C127semidirect
372. #1442C2×C127semidirect
373. #1440C2×C127semidirect
374. #1440C2×C127semidirect
375. #1439C2×C127semidirect
376. #1439C2×C127semidirect
378. C22⋊#95C2×C127semidirect
379. C127#16884direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#386×C1272
C2×#380×C1272
C127×#14432
C127×#14422
C127×#14402
C127×#14392
C127×#14382
C127×C22⋊#952
#16884127