Finite Group Databasebeta

← C127×#19306 #44582979

Subgroups — C127×#19306 #44582979

Order 32512.

732 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3184C211yesmaximal, characteristic, complemented
2C127×#3109C211yesmaximal, characteristic, complemented
3C127×#3036C211yesmaximal, characteristic, complemented
4D4×M16×C127C211yesmaximal, characteristic, complemented
5C127×#1701C211yesmaximal, characteristic, complemented
6C127×#1697C211yesmaximal, characteristic, complemented
7C127×#1691C211yesmaximal, characteristic, complemented
8C127×#1687C211yesmaximal, characteristic, complemented
9C127×#1681C211yesmaximal, characteristic, complemented
10C127×#1677C211yesmaximal, characteristic, complemented
11C127×#1671C211yesmaximal, characteristic, complemented
12C127×#1667C211yesmaximal, characteristic, complemented
13C127×#1569C211yesmaximal, characteristic, complemented
14C127×#1560C211yesmaximal, characteristic, complemented
15C127×#1557C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C127—21no—
17C22×M16×C127—21no—
18#532×C127C2211yescharacteristic
19#532×C127C2211yescharacteristic
20C2×C4×D4×C127C2211yescharacteristic
21#498×C127C2211yescharacteristic, complemented
22#493×C127C2211yescharacteristic, complemented
23#486×C127C2211yescharacteristic, complemented
24#486×C127C2211yescharacteristic, complemented
25#481×C127—21no—
26#476×C127C2211yescharacteristic
27#476×C127C2211yescharacteristic
28#469×C127—21no—
29#469×C127—21no—
30#463×C127—21no—
31#463×C127—21no—
32#461×C127C2211yescharacteristic
33#461×C127C2211yescharacteristic
34#459×C127C2211yescharacteristic
35#459×C127C2211yescharacteristic
36#459×C127C2211yescharacteristic
37#459×C127C2211yescharacteristic
38#447×C127—21no—
39#442×C127—21no—
40#442×C127—21no—
41#442×C127—21no—
42#442×C127—21no—
43#436×C127C2211yescharacteristic
44#436×C127C2211yescharacteristic
45#435×C127—21no—
46#435×C127—21no—
47C8×D4×C127C2211yescharacteristic
48C8×D4×C127C2211yescharacteristic
49#432×C127C2211yescharacteristic
50#423×C127C2211yescharacteristic
51#423×C127C2211yescharacteristic
52#417×C127—21no—
53#407×C127—21no—
54C4×M16×C127C2211yescharacteristic
55#335×C127C2211yescharacteristic, complemented
56#335×C127C2211yescharacteristic, complemented
57#334×C127C2211yescharacteristic, complemented
58#334×C127C2211yescharacteristic, complemented
59#333×C127C2211yescharacteristic, complemented
60#333×C127C2211yescharacteristic, complemented
61#332×C127C2211yescharacteristic, complemented
62#332×C127C2211yescharacteristic, complemented
63#331×C127C2211yescharacteristic, complemented
64#331×C127C2211yescharacteristic, complemented
65#331×C127C2211yescharacteristic, complemented
66#331×C127C2211yescharacteristic, complemented
67C2×#41×C127—21no—
68C2×#41×C127—21no—
69C22×D4×C127D411yescharacteristic
70C23×C4×C127—21no—
71AGL(1,ℤ/8)×C127—44no—
72C2×SD16×C127—21no—
73C2×SD16×C127—21no—
74C2×D8×C127—21no—
75C2×D8×C127—21no—
76C2×D8×C127—21no—
77C2×D8×C127—21no—
78C2×D8×C127—21no—
79C2×D8×C127—21no—
80C2×M16×C127—21no—
81C2×M16×C127—21no—
82C2×M16×C127—21no—
83C2×M16×C127—21no—
84C2×M16×C127—44no—
85C2×M16×C127D411yescharacteristic
86C2×M16×C127D411yescharacteristic
87C22×C8×C127—21no—
88C22×C8×C127—21no—
89C4⋊Q8×C127C2311yescharacteristic
90C4⋊Q8×C127C2311yescharacteristic
91#127×C127C2311yescharacteristic
92#127×C127C2311yescharacteristic
93#124×C127—21no—
94#124×C127—21no—
95#121×C127—21no—
96#121×C127—21no—
97#121×C127—21no—
98#121×C127—21no—
99C4×D4×C127—21no—
100C4×D4×C127—21no—
101C4×D4×C127—21no—
102C4×D4×C127—21no—
103C4×D4×C127—21no—
104C4×D4×C127—21no—
105C4×D4×C127D411yescharacteristic
106C4×D4×C127D411yescharacteristic
107C4×D4×C127C2311yescharacteristic
108C4×D4×C127C2311yescharacteristic
109C2×C4⋊C4×C127D411yescharacteristic
110C2×C22⋊C4×C127—21no—
111C2×C42×C127C2311yescharacteristic
112#106×C127—21no—
113#106×C127—21no—
114#106×C127—21no—
115#106×C127—21no—
116C4⋊C8×C127—21no—
117C4⋊C8×C127—21no—
118C4⋊C8×C127C2311yescharacteristic
119C4⋊C8×C127C2311yescharacteristic
120C4⋊C8×C127C2311yescharacteristic
121C4⋊C8×C127C2311yescharacteristic
122C4⋊C8×C127C2311yescharacteristic
123C4⋊C8×C127C2311yescharacteristic
124#103×C127—21no—
125#103×C127—21no—
126#102×C127—21no—
127#102×C127—21no—
128#102×C127—21no—
129#102×C127—21no—
130#102×C127—21no—
131#102×C127—21no—
132#102×C127—21no—
133#102×C127—21no—
134#102×C127—21no—
135#102×C127—21no—
136C22⋊C8×C127—21no—
137C22⋊C8×C127—21no—
138C22⋊C8×C127—21no—
139C22⋊C8×C127—21no—
140C22⋊C8×C127—21no—
141#97×C127—21no—
142#97×C127D411yescharacteristic
143#97×C127D411yescharacteristic
144C4×C8×C127C2311yescharacteristic
145C4×C8×C127C2311yescharacteristic
146C24×C127—21no—
147#41×C127—42no—
148#41×C127—42no—
149#41×C127—82no—
150C2×Q8×C127—21no—
151C2×Q8×C127—21no—
152C2×D4×C127—22no—
153C2×D4×C127—21no—
154C2×D4×C127—21no—
155C2×D4×C127—21no—
156C2×D4×C127—21no—
157C2×D4×C127—21no—
158C2×D4×C127—21no—
159C2×D4×C127—21no—
160C2×D4×C127—41no—
161C2×D4×C127—41no—
162C2×D4×C127—41no—
163C2×D4×C127C2×D411yescharacteristic
164C2×D4×C127C2×D411yescharacteristic
165C22×C4×C127—21no—
166C22×C4×C127—21no—
167C22×C4×C127—21no—
168C22×C4×C127—21no—
169C22×C4×C127—21no—
170C22×C4×C127—42no—
171C22×C4×C127—42no—
172C22×C4×C127—41no—
173C22×C4×C127—41no—
174C22×C4×C127C2×D411yescharacteristic
175C22×C4×C127C2×D411yescharacteristic
176C22×C4×C127#4111yescharacteristic
177SD16×C127—42no—
178SD16×C127—42no—
179D8×C127—42no—
180D8×C127—42no—
181D8×C127—42no—
182D8×C127—42no—
183D8×C127—42no—
184D8×C127—42no—
185M16×C127—22no—
186M16×C127—41no—
187M16×C127—42no—
188M16×C127—42no—
189M16×C127—42no—
190M16×C127—42no—
191C2×C8×C127—21no—
192C2×C8×C127—21no—
193C2×C8×C127—21no—
194C2×C8×C127—21no—
195C2×C8×C127—21no—
196C2×C8×C127—21no—
197C2×C8×C127—42no—
198C2×C8×C127—42no—
199C2×C8×C127C2×D411yescharacteristic
200C2×C8×C127C2×D411yescharacteristic
201C2×C8×C127C2×D411yescharacteristic
202C2×C8×C127C2×D411yescharacteristic
203C4⋊C4×C127—21no—
204C4⋊C4×C127—21no—
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127—21no—
208C4⋊C4×C127C2×D411yescharacteristic
209C4⋊C4×C127C2×D411yescharacteristic
210C22⋊C4×C127—21no—
211C22⋊C4×C127—21no—
212C22⋊C4×C127—21no—
213C22⋊C4×C127—21no—
214C22⋊C4×C127—41no—
215C22⋊C4×C127—41no—
216C22⋊C4×C127—41no—
217C22⋊C4×C127—41no—
218C42×C127C2×D411yescharacteristic
219C42×C127C2×D411yescharacteristic
220C42×C127#4111yescharacteristic
221C42×C127C2411yescharacteristic
222C23×C127—21no—
223C23×C127—21no—
224C23×C127—42no—
225C23×C127—42no—
226C23×C127—41no—
227C23×C127—41no—
228C23×C127—81no—
229C23×C127#12111yescharacteristic
230Q8×C127—41no—
231Q8×C127—41no—
232Q8×C127—81no—
233D4×C127—21no—
234D4×C127—21no—
235D4×C127—21no—
236D4×C127—42no—
237D4×C127—41no—
238D4×C127—41no—
239D4×C127—41no—
240D4×C127—41no—
241D4×C127—41no—
242D4×C127—41no—
243D4×C127—41no—
244D4×C127—41no—
245D4×C127—81no—
246D4×C127—81no—
247D4×C127—82no—
248D4×C127—82no—
249D4×C127AGL(1,ℤ/8)12yes—
250C2×C4×C127—21no—
251C2×C4×C127—21no—
252C2×C4×C127—21no—
253C2×C4×C127—21no—
254C2×C4×C127—21no—
255C2×C4×C127—21no—
256C2×C4×C127—41no—
257C2×C4×C127—42no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—41no—
261C2×C4×C127—41no—
262C2×C4×C127—41no—
263C2×C4×C127—41no—
264C2×C4×C127—41no—
265C2×C4×C127—41no—
266C2×C4×C127—82no—
267C2×C4×C127—82no—
268C2×C4×C127#12111yescharacteristic
269C2×C4×C127#12111yescharacteristic
270C2×C4×C127#12111yescharacteristic
271C2×C4×C127C22×D411yescharacteristic
272C2×C4×C127C22×D411yescharacteristic
273C2×C4×C127C2×#4111yescharacteristic
274C8×C127—21no—
275C8×C127—21no—
276C8×C127—21no—
277C8×C127—41no—
278C8×C127—41no—
279C8×C127—41no—
280C8×C127—41no—
281C8×C127—41no—
282C8×C127—41no—
283C8×C127AGL(1,ℤ/8)12yescomplemented
284C22×C127—21no—
285C22×C127—21no—
286C22×C127—22no—
287C22×C127—21no—
288C22×C127—41no—
289C22×C127—41no—
290C22×C127—41no—
291C22×C127—41no—
292C22×C127—41no—
293C22×C127—84no—
294C22×C127—81no—
295C22×C127—81no—
296C22×C127—81no—
297C22×C127—81no—
298C22×C127—81no—
299C22×C127—81no—
300C22×C127C2×#12111yescharacteristic
301C4×C127—21no—
302C4×C127—21no—
303C4×C127—21no—
304C4×C127—21no—
305C4×C127—41no—
306C4×C127—41no—
307C4×C127—81no—
308C4×C127—81no—
309C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C127#57511yescharacteristic
312C4×C127#57511yescharacteristic
313#19306C12711yesmaximal, characteristic, direct product factor, Sylow
314C2×C127—41no—
315C2×C127—42no—
316C2×C127—81no—
317C2×C127—161no—
318C2×C127—161no—
319C2×C127#303611yescharacteristic
320C2×C127#305511yescharacteristic
321C2×C127#306811yescharacteristic
322#3184C2×C12711yescharacteristic, complemented
323#3109C2×C12711yescharacteristic, complemented
324#3036C2×C12711yescharacteristic, complemented
325D4×M16C2×C12711yescharacteristic, complemented
326#1701C2×C12711yescharacteristic, complemented
327#1697C2×C12711yescharacteristic, complemented
328#1691C2×C12711yescharacteristic, complemented
329#1687C2×C12711yescharacteristic, complemented
330#1681C2×C12711yescharacteristic, complemented
331#1677C2×C12711yescharacteristic, complemented
332#1671C2×C12711yescharacteristic, complemented
333#1667C2×C12711yescharacteristic, complemented
334#1569C2×C12711yescharacteristic, complemented
335#1560C2×C12711yescharacteristic, complemented
336#1557C2×C12711yescharacteristic, complemented
337C127#1930611yescharacteristic, direct product factor, Sylow
338C2×AGL(1,ℤ/8)—21no—
339C22×M16—21no—
340#532C22×C12711yescharacteristic
341#532C22×C12711yescharacteristic
342C2×C4×D4C22×C12711yescharacteristic
343#498C22×C12711yescharacteristic, complemented
344#493C22×C12711yescharacteristic, complemented
345#486C22×C12711yescharacteristic, complemented
346#486C22×C12711yescharacteristic, complemented
347#481—21no—
348#476C22×C12711yescharacteristic
349#476C22×C12711yescharacteristic
350#469—21no—
351#469—21no—
352#463—21no—
353#463—21no—
354#461C22×C12711yescharacteristic
355#461C22×C12711yescharacteristic
356#459C22×C12711yescharacteristic
357#459C22×C12711yescharacteristic
358#459C22×C12711yescharacteristic
359#459C22×C12711yescharacteristic
360#447—21no—
361#442—21no—
362#442—21no—
363#442—21no—
364#442—21no—
365#436C22×C12711yescharacteristic
366#436C22×C12711yescharacteristic
367#435—21no—
368#435—21no—
369C8×D4C22×C12711yescharacteristic
370C8×D4C22×C12711yescharacteristic
371#432C22×C12711yescharacteristic
372#423C22×C12711yescharacteristic
373#423C22×C12711yescharacteristic
374#417—21no—
375#407—21no—
376C4×M16C22×C12711yescharacteristic
377#335C22×C12711yescharacteristic, complemented
378#335C22×C12711yescharacteristic, complemented
379#334C22×C12711yescharacteristic, complemented
380#334C22×C12711yescharacteristic, complemented
381#333C22×C12711yescharacteristic, complemented
382#333C22×C12711yescharacteristic, complemented
383#332C22×C12711yescharacteristic, complemented
384#332C22×C12711yescharacteristic, complemented
385#331C22×C12711yescharacteristic, complemented
386#331C22×C12711yescharacteristic, complemented
387#331C22×C12711yescharacteristic, complemented
388#331C22×C12711yescharacteristic, complemented
389C2×#41—21no—
390C2×#41—21no—
391C22×D4D4×C12711yescharacteristic
392C23×C4—21no—
393AGL(1,ℤ/8)—44no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×D8—21no—
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×M16—21no—
403C2×M16—21no—
404C2×M16—21no—
405C2×M16—21no—
406C2×M16—44no—
407C2×M16D4×C12711yescharacteristic
408C2×M16D4×C12711yescharacteristic
409C22×C8—21no—
410C22×C8—21no—
411C4⋊Q8C23×C12711yescharacteristic
412C4⋊Q8C23×C12711yescharacteristic
413#127C23×C12711yescharacteristic
414#127C23×C12711yescharacteristic
415#124—21no—
416#124—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—21no—
424C4×D4—21no—
425C4×D4—21no—
426C4×D4—21no—
427C4×D4D4×C12711yescharacteristic
428C4×D4D4×C12711yescharacteristic
429C4×D4C23×C12711yescharacteristic
430C4×D4C23×C12711yescharacteristic
431C2×C4⋊C4D4×C12711yescharacteristic
432C2×C22⋊C4—21no—
433C2×C42C23×C12711yescharacteristic
434#106—21no—
435#106—21no—
436#106—21no—
437#106—21no—
438C4⋊C8—21no—
439C4⋊C8—21no—
440C4⋊C8C23×C12711yescharacteristic
441C4⋊C8C23×C12711yescharacteristic
442C4⋊C8C23×C12711yescharacteristic
443C4⋊C8C23×C12711yescharacteristic
444C4⋊C8C23×C12711yescharacteristic
445C4⋊C8C23×C12711yescharacteristic
446#103—21no—
447#103—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463#97—21no—
464#97D4×C12711yescharacteristic
465#97D4×C12711yescharacteristic
466C4×C8C23×C12711yescharacteristic
467C4×C8C23×C12711yescharacteristic
468C24—21no—
469#41—42no—
470#41—42no—
471#41—82no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×D4—22no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4C2×D4×C12711yescharacteristic
486C2×D4C2×D4×C12711yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4C2×D4×C12711yescharacteristic
497C22×C4C2×D4×C12711yescharacteristic
498C22×C4#41×C12711yescharacteristic
499SD16—42no—
500SD16—42no—
501D8—42no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—42no—
506D8—42no—
507M16—22no—
508M16—41no—
509M16—42no—
510M16—42no—
511M16—42no—
512M16—42no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—42no—
520C2×C8—42no—
521C2×C8C2×D4×C12711yescharacteristic
522C2×C8C2×D4×C12711yescharacteristic
523C2×C8C2×D4×C12711yescharacteristic
524C2×C8C2×D4×C12711yescharacteristic
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4C2×D4×C12711yescharacteristic
531C4⋊C4C2×D4×C12711yescharacteristic
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C42C2×D4×C12711yescharacteristic
541C42C2×D4×C12711yescharacteristic
542C42#41×C12711yescharacteristic
543C42C24×C12711yescharacteristic
544C23—21no—
545C23—21no—
546C23—42no—
547C23—42no—
548C23—41no—
549C23—41no—
550C23—81no—
551C23#121×C12711yescharacteristic
552Q8—41no—
553Q8—41no—
554Q8—81no—
555D4—21no—
556D4—21no—
557D4—21no—
558D4—42no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4AGL(1,ℤ/8)×C12712yes—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—82no—
589C2×C4—82no—
590C2×C4#121×C12711yescharacteristic
591C2×C4#121×C12711yescharacteristic
592C2×C4#121×C12711yescharacteristic
593C2×C4C22×D4×C12711yescharacteristic
594C2×C4C22×D4×C12711yescharacteristic
595C2×C4C2×#41×C12711yescharacteristic
596C8—21no—
597C8—21no—
598C8—21no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8AGL(1,ℤ/8)×C12712yescomplemented
606C22—21no—
607C22—21no—
608C22—22no—
609C22—21no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—84no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22C2×#121×C12711yescharacteristic
623C4—21no—
624C4—21no—
625C4—21no—
626C4—21no—
627C4—41no—
628C4—41no—
629C4—81no—
630C4—81no—
631C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
632C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
633C4#575×C12711yescharacteristic
634C4#575×C12711yescharacteristic
635C2—41no—
636C2—42no—
637C2—81no—
638C2—161no—
639C2—161no—
640C2C127×#303611yescharacteristic
641C2C127×#305511yescharacteristic
642C2C127×#306811yescharacteristic
subgroupG/H
center, socleC22×C127C2×#121
commutator, Frattini, cosocleC42C24×C127
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C127 ◁ C2×C42×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C127×#3184C2semidirect
2. C127×#3109C2semidirect
3. C127×#3036C2semidirect
4. D4×M16×C127C2semidirect
5. C127×#1701C2semidirect
6. C127×#1697C2semidirect
7. C127×#1691C2semidirect
8. C127×#1687C2semidirect
9. C127×#1681C2semidirect
10. C127×#1677C2semidirect
11. C127×#1671C2semidirect
12. C127×#1667C2semidirect
13. C127×#1569C2semidirect
14. C127×#1560C2semidirect
15. C127×#1557C2semidirect
21. #498×C127C22semidirect
22. #493×C127C22semidirect
23. #486×C127C22semidirect
24. #486×C127C22semidirect
55. #335×C127C22semidirect
56. #335×C127C22semidirect
57. #334×C127C22semidirect
58. #334×C127C22semidirect
59. #333×C127C22semidirect
60. #333×C127C22semidirect
61. #332×C127C22semidirect
62. #332×C127C22semidirect
63. #331×C127C22semidirect
64. #331×C127C22semidirect
65. #331×C127C22semidirect
66. #331×C127C22semidirect
283. C8×C127AGL(1,ℤ/8)semidirect
313. #19306C127direct (N × H)
322. #3184C2×C127semidirect
323. #3109C2×C127semidirect
324. #3036C2×C127semidirect
325. D4×M16C2×C127semidirect
326. #1701C2×C127semidirect
327. #1697C2×C127semidirect
328. #1691C2×C127semidirect
329. #1687C2×C127semidirect
330. #1681C2×C127semidirect
331. #1677C2×C127semidirect
332. #1671C2×C127semidirect
333. #1667C2×C127semidirect
334. #1569C2×C127semidirect
335. #1560C2×C127semidirect
336. #1557C2×C127semidirect
337. C127#19306direct (N × H)
343. #498C22×C127semidirect
344. #493C22×C127semidirect
345. #486C22×C127semidirect
346. #486C22×C127semidirect
377. #335C22×C127semidirect
378. #335C22×C127semidirect
379. #334C22×C127semidirect
380. #334C22×C127semidirect
381. #333C22×C127semidirect
382. #333C22×C127semidirect
383. #332C22×C127semidirect
384. #332C22×C127semidirect
385. #331C22×C127semidirect
386. #331C22×C127semidirect
387. #331C22×C127semidirect
388. #331C22×C127semidirect
605. C8AGL(1,ℤ/8)×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#31842
C127×#31092
C127×#30362
D4×M16×C1272
C127×#17012
C127×#16972
C127×#16912
C127×#16872
C127×#16812
C127×#16772
C127×#16712
C127×#16672
C127×#15692
C127×#15602
C127×#15572
#19306127