Finite Group Databasebeta

← C127×#13791 #44577464

Subgroups — C127×#13791 #44577464

Order 32512.

2194 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×#390×C127C211yesmaximal, characteristic
2C2×#386×C127C212yesmaximal
3C2×C4×C22⋊C4×C127C212yesmaximal, complemented
4C127×#1437C212yesmaximal, complemented
5C127×#1437C212yesmaximal, complemented
6C127×#1436C212yesmaximal, complemented
7C127×#1434C211yesmaximal, characteristic, complemented
8C127×C22⋊#95C212yesmaximal, complemented
9C4×#95×C127C211yesmaximal, characteristic, complemented
10C23×D4×C127C2211yescharacteristic
11C24×C4×C127C2212yes—
12C22×C4⋊C4×C127C2211yescharacteristic
13C22×C22⋊C4×C127C2212yes—
14C22×C22⋊C4×C127C2212yes—
15C22×C22⋊C4×C127C2212yes—
16C22×C22⋊C4×C127C2212yes—
17C22×C22⋊C4×C127C2212yes—
18C22×C42×C127C2211yescharacteristic
19C22×C42×C127C2212yes—
20C22×C42×C127C2211yescharacteristic
21C22×C42×C127C2211yescharacteristic
22#390×C127C418yescomplemented
23#386×C127C4116yescomplemented
24C4×C22⋊C4×C127—28no—
25C2×#95×C127C2212yes—
26C2×#95×C127C2212yes—
27C2×#95×C127C2212yes—
28C2×#95×C127C2211yescharacteristic
29C2×#95×C127C2212yes—
30C2×#95×C127C2211yescharacteristic
31C2×#95×C127C2212yes—
32C2×#95×C127C2212yes—
33C2×#95×C127C2212yes—
34C25×C127C2312yes—
35C22×D4×C127—41no—
36C22×D4×C127—41no—
37C22×D4×C127—42no—
38C22×D4×C127C2×C418yes—
39C22×D4×C127C2×C414yes—
40C23×C4×C127—24no—
41C23×C4×C127—24no—
42C23×C4×C127—42no—
43C23×C4×C127—42no—
44C23×C4×C127—42no—
45C23×C4×C127—42no—
46C23×C4×C127C2×C418yescomplemented
47C23×C4×C127C2312yes—
48C23×C4×C127C2312yes—
49C23×C4×C127C2311yescharacteristic
50C23×C4×C127C2312yes—
51C23×C4×C127C2312yes—
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2311yescharacteristic
54C23×C4×C127C2312yes—
55C2×C4⋊C4×C127—42no—
56C2×C4⋊C4×C127C2×C414yescomplemented
57C2×C22⋊C4×C127—24no—
58C2×C22⋊C4×C127—24no—
59C2×C22⋊C4×C127—24no—
60C2×C22⋊C4×C127—24no—
61C2×C22⋊C4×C127—42no—
62C2×C22⋊C4×C127—42no—
63C2×C22⋊C4×C127—42no—
64C2×C22⋊C4×C127—42no—
65C2×C22⋊C4×C127—42no—
66C2×C22⋊C4×C127—42no—
67C2×C22⋊C4×C127C2×C418yes—
68C2×C22⋊C4×C127C2×C418yes—
69C2×C22⋊C4×C127C2×C418yescomplemented
70C2×C22⋊C4×C127C2×C418yescomplemented
71C2×C22⋊C4×C127C2×C418yescomplemented
72C2×C42×C127—24no—
73C2×C42×C127—22no—
74C2×C42×C127—41no—
75C2×C42×C127—41no—
76C2×C42×C127—41no—
77C2×C42×C127—41no—
78C2×C42×C127—41no—
79C2×C42×C127—41no—
80C2×C42×C127—42no—
81C2×C42×C127—42no—
82C2×C42×C127C2×C414yescomplemented
83C2×C42×C127D414yescomplemented
84#95×C127—24no—
85#95×C127—24no—
86#95×C127—24no—
87#95×C127—41no—
88#95×C127—42no—
89#95×C127—41no—
90#95×C127—42no—
91#95×C127C2×C418yescomplemented
92#95×C127C2×C418yescomplemented
93C24×C127—22no—
94C24×C127—22no—
95C24×C127—22no—
96C24×C127—22no—
97C24×C127—22no—
98C24×C127—22no—
99C24×C127—22no—
100C24×C127—22no—
101C24×C127—22no—
102C24×C127—22no—
103C24×C127—22no—
104C24×C127—22no—
105C24×C127C22×C414yes—
106C24×C127C22×C414yes—
107C24×C127C22×C414yes—
108C24×C127C2411yescharacteristic
109C2×D4×C127—44no—
110C2×D4×C127—44no—
111C2×D4×C127—48no—
112C2×D4×C127—48no—
113C2×D4×C127C42116yescomplemented
114C22×C4×C127—21no—
115C22×C4×C127—21no—
116C22×C4×C127—21no—
117C22×C4×C127—22no—
118C22×C4×C127—22no—
119C22×C4×C127—22no—
120C22×C4×C127—22no—
121C22×C4×C127—21no—
122C22×C4×C127—21no—
123C22×C4×C127—22no—
124C22×C4×C127—21no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—22no—
128C22×C4×C127—22no—
129C22×C4×C127—22no—
130C22×C4×C127—22no—
131C22×C4×C127—22no—
132C22×C4×C127—22no—
133C22×C4×C127—22no—
134C22×C4×C127—21no—
135C22×C4×C127—21no—
136C22×C4×C127—22no—
137C22×C4×C127—22no—
138C22×C4×C127—22no—
139C22×C4×C127—22no—
140C22×C4×C127—22no—
141C22×C4×C127—22no—
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—22no—
150C22×C4×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—216no—
154C22×C4×C127—48no—
155C22×C4×C127—48no—
156C22×C4×C127—48no—
157C22×C4×C127—48no—
158C22×C4×C127—48no—
159C22×C4×C127—48no—
160C22×C4×C127C22×C414yes—
161C22×C4×C127C22×C414yes—
162C22×C4×C127C22×C414yes—
163C22×C4×C127C22×C412yes—
164C22×C4×C127C22×C414yes—
165C22×C4×C127C22×C414yes—
166C22×C4×C127C22×C412yes—
167C22×C4×C127C22×C414yes—
168C22×C4×C127C22×C412yes—
169C22×C4×C127C2×D412yes—
170C22×C4×C127C2×D414yes—
171C22×C4×C127#4114yes—
172C22×C4×C127#4112yes—
173C4⋊C4×C127—44no—
174C22⋊C4×C127—216no—
175C22⋊C4×C127—216no—
176C22⋊C4×C127—48no—
177C22⋊C4×C127—48no—
178C22⋊C4×C127—48no—
179C42×C127—44no—
180C42×C127—44no—
181C42×C127—48no—
182C42×C127—44no—
183C23×C127—24no—
184C23×C127—24no—
185C23×C127—24no—
186C23×C127—24no—
187C23×C127—24no—
188C23×C127—24no—
189C23×C127—24no—
190C23×C127—24no—
191C23×C127—24no—
192C23×C127—24no—
193C23×C127—24no—
194C23×C127—24no—
195C23×C127—24no—
196C23×C127—24no—
197C23×C127—24no—
198C23×C127—24no—
199C23×C127—24no—
200C23×C127—24no—
201C23×C127—42no—
202C23×C127—42no—
203C23×C127—42no—
204C23×C127—42no—
205C23×C127—42no—
206C23×C127—42no—
207C23×C127—42no—
208C23×C127—42no—
209C23×C127—42no—
210C23×C127—42no—
211C23×C127—42no—
212C23×C127—42no—
213C23×C127—42no—
214C23×C127—42no—
215C23×C127—42no—
216C23×C127—42no—
217C23×C127C2×C4218yes—
218C23×C127C23×C412yes—
219C23×C127C23×C411yescharacteristic
220C23×C127C22×D411yescharacteristic
221C23×C127C2×#4112yes—
222C23×C127C2×#4111yescharacteristic
223C23×C127H(5,𝔽2)11yescharacteristic
224C23×C127H(5,𝔽2)12yes—
225C23×C127H(5,𝔽2)11yescharacteristic
226C23×C127H(5,𝔽2)11yescharacteristic
227C23×C127H(5,𝔽2)12yes—
228C23×C1272−1+411yescharacteristic
229D4×C127—416no—
230C2×C4×C127—22no—
231C2×C4×C127—22no—
232C2×C4×C127—22no—
233C2×C4×C127—24no—
234C2×C4×C127—24no—
235C2×C4×C127—24no—
236C2×C4×C127—24no—
237C2×C4×C127—22no—
238C2×C4×C127—24no—
239C2×C4×C127—22no—
240C2×C4×C127—24no—
241C2×C4×C127—22no—
242C2×C4×C127—22no—
243C2×C4×C127—24no—
244C2×C4×C127—24no—
245C2×C4×C127—22no—
246C2×C4×C127—24no—
247C2×C4×C127—24no—
248C2×C4×C127—24no—
249C2×C4×C127—24no—
250C2×C4×C127—22no—
251C2×C4×C127—22no—
252C2×C4×C127—22no—
253C2×C4×C127—24no—
254C2×C4×C127—24no—
255C2×C4×C127—24no—
256C2×C4×C127—24no—
257C2×C4×C127—24no—
258C2×C4×C127—24no—
259C2×C4×C127—24no—
260C2×C4×C127—24no—
261C2×C4×C127—432no—
262C2×C4×C127—42no—
263C2×C4×C127—42no—
264C2×C4×C127—42no—
265C2×C4×C127—42no—
266C2×C4×C127—42no—
267C2×C4×C127—42no—
268C2×C4×C127—42no—
269C2×C4×C127—42no—
270C2×C4×C127—42no—
271C2×C4×C127—42no—
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×C127C2×C4214yes—
281C2×C4×C127C4×D414yes—
282C2×C4×C127C4×D418yes—
283C22×C127—28no—
284C22×C127—28no—
285C22×C127—28no—
286C22×C127—44no—
287C22×C127—44no—
288C22×C127—44no—
289C22×C127—44no—
290C22×C127—44no—
291C22×C127—44no—
292C22×C127—44no—
293C22×C127—44no—
294C22×C127—44no—
295C22×C127—44no—
296C22×C127—44no—
297C22×C127—44no—
298C22×C127C22×C4211yescharacteristic
299C22×C127C2×C4×D412yes—
300C22×C127C2×C4×D411yescharacteristic
301C22×C127C4×#4112yes—
302C22×C127C4×#4111yescharacteristic
303C22×C127#51812yes—
304C22×C127#51812yes—
305C22×C127#51812yes—
306C22×C127#51811yescharacteristic
307C22×C127#51811yescharacteristic
308C22×C127#51811yescharacteristic
309C22×C127#52012yes—
310C22×C127#52011yescharacteristic
311C22×C127#53411yescharacteristic
312C22×C127#53512yes—
313C22×C127#53711yescharacteristic
314C22×C127#53812yes—
315C22×C127#53812yes—
316C22×C127#53811yescharacteristic
317C22×C127#53911yescharacteristic
318C22×C127#54012yes—
319C22×C127#54012yes—
320C22×C127#54212yes—
321C4×C127—28no—
322C4×C127—24no—
323C4×C127—24no—
324C4×C127—44no—
325C4×C127—44no—
326C4×C127—44no—
327C4×C127—42no—
328C4×C127—44no—
329#13791C12711yesmaximal, characteristic, direct product factor, Sylow
330C2×C127—48no—
331C2×C127C42×D411yescharacteristic
332C2×C127#227311yescharacteristic
333C2×C127#227511yescharacteristic
334C2×C127#232112yes—
335C2×C127#232412yes—
336C2×C127#232511yescharacteristic
337C2×C127#232811yescharacteristic
338C2×C127#233312yes—
339C2×C127#233311yescharacteristic
340C2×C127#233512yes—
341C2×C127#233711yescharacteristic
342C2×#390C2×C12711yescharacteristic
343C2×#386C2×C12712yes—
344C2×C4×C22⋊C4C2×C12712yescomplemented
345#1437C2×C12712yescomplemented
346#1437C2×C12712yescomplemented
347#1436C2×C12712yescomplemented
348#1434C2×C12711yescharacteristic, complemented
349C22⋊#95C2×C12712yescomplemented
350C4×#95C2×C12711yescharacteristic, complemented
351C127#1379111yescharacteristic, direct product factor, Sylow
352C23×D4C22×C12711yescharacteristic
353C24×C4C22×C12712yes—
354C22×C4⋊C4C22×C12711yescharacteristic
355C22×C22⋊C4C22×C12712yes—
356C22×C22⋊C4C22×C12712yes—
357C22×C22⋊C4C22×C12712yes—
358C22×C22⋊C4C22×C12712yes—
359C22×C22⋊C4C22×C12712yes—
360C22×C42C22×C12711yescharacteristic
361C22×C42C22×C12712yes—
362C22×C42C22×C12711yescharacteristic
363C22×C42C22×C12711yescharacteristic
364#390C4×C12718yescomplemented
365#386C4×C127116yescomplemented
366C4×C22⋊C4—28no—
367C2×#95C22×C12712yes—
368C2×#95C22×C12712yes—
369C2×#95C22×C12712yes—
370C2×#95C22×C12711yescharacteristic
371C2×#95C22×C12712yes—
372C2×#95C22×C12711yescharacteristic
373C2×#95C22×C12712yes—
374C2×#95C22×C12712yes—
375C2×#95C22×C12712yes—
376C25C23×C12712yes—
377C22×D4—41no—
378C22×D4—41no—
379C22×D4—42no—
380C22×D4C2×C4×C12718yes—
381C22×D4C2×C4×C12714yes—
382C23×C4—24no—
383C23×C4—24no—
384C23×C4—42no—
385C23×C4—42no—
386C23×C4—42no—
387C23×C4—42no—
388C23×C4C2×C4×C12718yescomplemented
389C23×C4C23×C12712yes—
390C23×C4C23×C12712yes—
391C23×C4C23×C12711yescharacteristic
392C23×C4C23×C12712yes—
393C23×C4C23×C12712yes—
394C23×C4C23×C12711yescharacteristic
395C23×C4C23×C12711yescharacteristic
396C23×C4C23×C12712yes—
397C2×C4⋊C4—42no—
398C2×C4⋊C4C2×C4×C12714yescomplemented
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—24no—
403C2×C22⋊C4—42no—
404C2×C22⋊C4—42no—
405C2×C22⋊C4—42no—
406C2×C22⋊C4—42no—
407C2×C22⋊C4—42no—
408C2×C22⋊C4—42no—
409C2×C22⋊C4C2×C4×C12718yes—
410C2×C22⋊C4C2×C4×C12718yes—
411C2×C22⋊C4C2×C4×C12718yescomplemented
412C2×C22⋊C4C2×C4×C12718yescomplemented
413C2×C22⋊C4C2×C4×C12718yescomplemented
414C2×C42—24no—
415C2×C42—22no—
416C2×C42—41no—
417C2×C42—41no—
418C2×C42—41no—
419C2×C42—41no—
420C2×C42—41no—
421C2×C42—41no—
422C2×C42—42no—
423C2×C42—42no—
424C2×C42C2×C4×C12714yescomplemented
425C2×C42D4×C12714yescomplemented
426#95—24no—
427#95—24no—
428#95—24no—
429#95—41no—
430#95—42no—
431#95—41no—
432#95—42no—
433#95C2×C4×C12718yescomplemented
434#95C2×C4×C12718yescomplemented
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24C22×C4×C12714yes—
448C24C22×C4×C12714yes—
449C24C22×C4×C12714yes—
450C24C24×C12711yescharacteristic
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4C42×C127116yescomplemented
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—216no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4C22×C4×C12714yes—
503C22×C4C22×C4×C12714yes—
504C22×C4C22×C4×C12714yes—
505C22×C4C22×C4×C12712yes—
506C22×C4C22×C4×C12714yes—
507C22×C4C22×C4×C12714yes—
508C22×C4C22×C4×C12712yes—
509C22×C4C22×C4×C12714yes—
510C22×C4C22×C4×C12712yes—
511C22×C4C2×D4×C12712yes—
512C22×C4C2×D4×C12714yes—
513C22×C4#41×C12714yes—
514C22×C4#41×C12712yes—
515C4⋊C4—44no—
516C22⋊C4—216no—
517C22⋊C4—216no—
518C22⋊C4—48no—
519C22⋊C4—48no—
520C22⋊C4—48no—
521C42—44no—
522C42—44no—
523C42—48no—
524C42—44no—
525C23—24no—
526C23—24no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23C2×C42×C12718yes—
560C23C23×C4×C12712yes—
561C23C23×C4×C12711yescharacteristic
562C23C22×D4×C12711yescharacteristic
563C23C2×#41×C12712yes—
564C23C2×#41×C12711yescharacteristic
565C23H(5,𝔽2)×C12711yescharacteristic
566C23H(5,𝔽2)×C12712yes—
567C23H(5,𝔽2)×C12711yescharacteristic
568C23H(5,𝔽2)×C12711yescharacteristic
569C23H(5,𝔽2)×C12712yes—
570C232−1+4×C12711yescharacteristic
571D4—416no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—432no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4C2×C42×C12714yes—
623C2×C4C4×D4×C12714yes—
624C2×C4C4×D4×C12718yes—
625C22—28no—
626C22—28no—
627C22—28no—
628C22—44no—
629C22—44no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22C22×C42×C12711yescharacteristic
641C22C2×C4×D4×C12712yes—
642C22C2×C4×D4×C12711yescharacteristic
643C22C4×#41×C12712yes—
644C22C4×#41×C12711yescharacteristic
645C22#518×C12712yes—
646C22#518×C12712yes—
647C22#518×C12712yes—
648C22#518×C12711yescharacteristic
649C22#518×C12711yescharacteristic
650C22#518×C12711yescharacteristic
651C22#520×C12712yes—
652C22#520×C12711yescharacteristic
653C22#534×C12711yescharacteristic
654C22#535×C12712yes—
655C22#537×C12711yescharacteristic
656C22#538×C12712yes—
657C22#538×C12712yes—
658C22#538×C12711yescharacteristic
659C22#539×C12711yescharacteristic
660C22#540×C12712yes—
661C22#540×C12712yes—
662C22#542×C12712yes—
663C4—28no—
664C4—24no—
665C4—24no—
666C4—44no—
667C4—44no—
668C4—44no—
669C4—42no—
670C4—44no—
671C2—48no—
672C2C42×D4×C12711yescharacteristic
673C2C127×#227311yescharacteristic
674C2C127×#227511yescharacteristic
675C2C127×#232112yes—
676C2C127×#232412yes—
677C2C127×#232511yescharacteristic
678C2C127×#232811yescharacteristic
679C2C127×#233312yes—
680C2C127×#233311yescharacteristic
681C2C127×#233512yes—
682C2C127×#233711yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutatorC22C22×C42×C127
Frattini, cosocleC24C24×C127
prime radicalC23×D4×C127C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C4×C22⋊C4×C127C2semidirect
4. C127×#1437C2semidirect
5. C127×#1437C2semidirect
6. C127×#1436C2semidirect
7. C127×#1434C2semidirect
8. C127×C22⋊#95C2semidirect
9. C4×#95×C127C2semidirect
22. #390×C127C4semidirect
23. #386×C127C4semidirect
46. C23×C4×C127C2×C4semidirect
56. C2×C4⋊C4×C127C2×C4semidirect
69. C2×C22⋊C4×C127C2×C4semidirect
70. C2×C22⋊C4×C127C2×C4semidirect
71. C2×C22⋊C4×C127C2×C4semidirect
82. C2×C42×C127C2×C4semidirect
83. C2×C42×C127D4semidirect
91. #95×C127C2×C4semidirect
92. #95×C127C2×C4semidirect
113. C2×D4×C127C42semidirect
329. #13791C127direct (N × H)
344. C2×C4×C22⋊C4C2×C127semidirect
345. #1437C2×C127semidirect
346. #1437C2×C127semidirect
347. #1436C2×C127semidirect
348. #1434C2×C127semidirect
349. C22⋊#95C2×C127semidirect
350. C4×#95C2×C127semidirect
351. C127#13791direct (N × H)
364. #390C4×C127semidirect
365. #386C4×C127semidirect
388. C23×C4C2×C4×C127semidirect
398. C2×C4⋊C4C2×C4×C127semidirect
411. C2×C22⋊C4C2×C4×C127semidirect
412. C2×C22⋊C4C2×C4×C127semidirect
413. C2×C22⋊C4C2×C4×C127semidirect
424. C2×C42C2×C4×C127semidirect
425. C2×C42D4×C127semidirect
433. #95C2×C4×C127semidirect
434. #95C2×C4×C127semidirect
455. C2×D4C42×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#390×C1272
C2×#386×C1272
C2×C4×C22⋊C4×C1272
C127×#14372
C127×#14362
C127×#14342
C127×C22⋊#952
C4×#95×C1272
#13791127