Finite Group Databasebeta

← C127×#19304 #44582977

Subgroups — C127×#19304 #44582977

Order 32512.

710 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3182C211yesmaximal, characteristic, complemented
2C127×#3110C211yesmaximal, characteristic, complemented
3C127×#3036C211yesmaximal, characteristic
4D4×M16×C127C211yesmaximal, characteristic, complemented
5C127×#1701C211yesmaximal, characteristic, complemented
6C127×#1699C211yesmaximal, characteristic, complemented
7C127×#1693C211yesmaximal, characteristic, complemented
8C127×#1685C211yesmaximal, characteristic, complemented
9C127×#1681C211yesmaximal, characteristic, complemented
10C127×#1679C211yesmaximal, characteristic, complemented
11C127×#1673C211yesmaximal, characteristic, complemented
12C127×#1665C211yesmaximal, characteristic, complemented
13C127×#1569C211yesmaximal, characteristic, complemented
14C127×#1561C211yesmaximal, characteristic, complemented
15C127×#1557C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C127—21no—
17C22×M16×C127—21no—
18#533×C127C2211yescharacteristic
19#532×C127C2211yescharacteristic
20C2×C4×D4×C127C2211yescharacteristic
21#500×C127C2211yescharacteristic, complemented
22#492×C127C2211yescharacteristic, complemented
23#487×C127C2211yescharacteristic, complemented
24#486×C127C2211yescharacteristic, complemented
25#484×C127—21no—
26#474×C127C2211yescharacteristic
27#474×C127C2211yescharacteristic
28#468×C127—21no—
29#468×C127—21no—
30#463×C127—21no—
31#463×C127—21no—
32#461×C127C2211yescharacteristic
33#461×C127C2211yescharacteristic
34#461×C127C2211yescharacteristic
35#461×C127C2211yescharacteristic
36#459×C127C2211yescharacteristic
37#459×C127C2211yescharacteristic
38#450×C127—21no—
39#440×C127—21no—
40#440×C127—21no—
41#440×C127—21no—
42#440×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#332×C127C2211yescharacteristic, complemented
60#332×C127C2211yescharacteristic, complemented
61#332×C127C2211yescharacteristic, complemented
62#332×C127C2211yescharacteristic, complemented
63#332×C127C2211yescharacteristic, complemented
64#332×C127C2211yescharacteristic, complemented
65#331×C127C2211yescharacteristic, complemented
66#331×C127C2211yescharacteristic, complemented
67C2×#41×C127—21no—
68C22×D4×C127D411yescharacteristic
69C23×C4×C127—21no—
70AGL(1,ℤ/8)×C127—44no—
71C2×SD16×C127—21no—
72C2×SD16×C127—21no—
73C2×SD16×C127—21no—
74C2×SD16×C127—21no—
75C2×SD16×C127—21no—
76C2×SD16×C127—21no—
77C2×D8×C127—21no—
78C2×D8×C127—21no—
79C2×M16×C127—21no—
80C2×M16×C127—21no—
81C2×M16×C127—21no—
82C2×M16×C127—21no—
83C2×M16×C127—44no—
84C2×M16×C127D411yescharacteristic
85C2×M16×C127D411yescharacteristic
86C22×C8×C127—21no—
87C22×C8×C127—21no—
88C4⋊Q8×C127C2311yescharacteristic
89C4⋊Q8×C127C2311yescharacteristic
90C4⋊Q8×C127C2311yescharacteristic
91#127×C127C2311yescharacteristic
92#125×C127—21no—
93#124×C127—21no—
94C22⋊Q8×C127—21no—
95C22⋊Q8×C127—21no—
96#121×C127—21no—
97#121×C127—21no—
98C4×Q8×C127—21no—
99C4×Q8×C127—21no—
100C4×D4×C127—21no—
101C4×D4×C127—21no—
102C4×D4×C127—21no—
103C4×D4×C127—21no—
104C4×D4×C127D411yescharacteristic
105C4×D4×C127D411yescharacteristic
106C4×D4×C127C2311yescharacteristic
107C4×D4×C127C2311yescharacteristic
108#117×C127—21no—
109C2×C4⋊C4×C127D411yescharacteristic
110C2×C22⋊C4×C127—21no—
111C2×C42×C127C2311yescharacteristic
112#107×C127—21no—
113#107×C127—21no—
114#107×C127—21no—
115#107×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#103×C127—21no—
127#103×C127—21no—
128#103×C127—21no—
129#103×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—
149C2×Q8×C127—21no—
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—41no—
158C2×D4×C127—41no—
159C2×D4×C127C2×D411yescharacteristic
160C2×D4×C127C2×D411yescharacteristic
161C22×C4×C127—21no—
162C22×C4×C127—21no—
163C22×C4×C127—21no—
164C22×C4×C127—21no—
165C22×C4×C127—21no—
166C22×C4×C127—42no—
167C22×C4×C127—42no—
168C22×C4×C127—41no—
169C22×C4×C127C2×D411yescharacteristic
170C22×C4×C127C2×D411yescharacteristic
171C22×C4×C127#4111yescharacteristic
172SD16×C127—42no—
173SD16×C127—42no—
174SD16×C127—42no—
175SD16×C127—42no—
176SD16×C127—42no—
177SD16×C127—42no—
178D8×C127—42no—
179D8×C127—42no—
180M16×C127—22no—
181M16×C127—41no—
182M16×C127—42no—
183M16×C127—42no—
184M16×C127—42no—
185M16×C127—42no—
186C2×C8×C127—21no—
187C2×C8×C127—21no—
188C2×C8×C127—21no—
189C2×C8×C127—21no—
190C2×C8×C127—21no—
191C2×C8×C127—21no—
192C2×C8×C127—42no—
193C2×C8×C127—42no—
194C2×C8×C127C2×D411yescharacteristic
195C2×C8×C127C2×D411yescharacteristic
196C2×C8×C127C2×D411yescharacteristic
197C2×C8×C127C2×D411yescharacteristic
198C4⋊C4×C127—21no—
199C4⋊C4×C127—21no—
200C4⋊C4×C127—21no—
201C4⋊C4×C127—21no—
202C4⋊C4×C127—21no—
203C4⋊C4×C127—21no—
204C4⋊C4×C127—21no—
205C4⋊C4×C127—41no—
206C4⋊C4×C127—41no—
207C4⋊C4×C127C2×D411yescharacteristic
208C4⋊C4×C127C2×D411yescharacteristic
209C22⋊C4×C127—21no—
210C22⋊C4×C127—21no—
211C22⋊C4×C127—21no—
212C22⋊C4×C127—21no—
213C22⋊C4×C127—41no—
214C22⋊C4×C127—41no—
215C22⋊C4×C127—41no—
216C42×C127—41no—
217C42×C127C2×D411yescharacteristic
218C42×C127C2×D411yescharacteristic
219C42×C127#4111yescharacteristic
220C42×C127C2411yescharacteristic
221C23×C127—21no—
222C23×C127—21no—
223C23×C127—42no—
224C23×C127—42no—
225C23×C127—41no—
226C23×C127—81no—
227C23×C127#12111yescharacteristic
228Q8×C127—41no—
229Q8×C127—41no—
230Q8×C127—41no—
231Q8×C127—41no—
232Q8×C127—41no—
233Q8×C127—41no—
234D4×C127—21no—
235D4×C127—21no—
236D4×C127—21no—
237D4×C127—42no—
238D4×C127—41no—
239D4×C127—41no—
240D4×C127—41no—
241D4×C127—41no—
242D4×C127—81no—
243D4×C127—82no—
244D4×C127AGL(1,ℤ/8)12yes—
245C2×C4×C127—21no—
246C2×C4×C127—21no—
247C2×C4×C127—21no—
248C2×C4×C127—21no—
249C2×C4×C127—21no—
250C2×C4×C127—21no—
251C2×C4×C127—41no—
252C2×C4×C127—42no—
253C2×C4×C127—42no—
254C2×C4×C127—42no—
255C2×C4×C127—41no—
256C2×C4×C127—41no—
257C2×C4×C127—41no—
258C2×C4×C127—41no—
259C2×C4×C127—41no—
260C2×C4×C127—41no—
261C2×C4×C127—41no—
262C2×C4×C127—82no—
263C2×C4×C127#12111yescharacteristic
264C2×C4×C127#12111yescharacteristic
265C2×C4×C127#12111yescharacteristic
266C2×C4×C127C22×D411yescharacteristic
267C2×C4×C127C22×D411yescharacteristic
268C2×C4×C127C2×#4111yescharacteristic
269C8×C127—21no—
270C8×C127—21no—
271C8×C127—21no—
272C8×C127—41no—
273C8×C127—41no—
274C8×C127—41no—
275C8×C127—41no—
276C8×C127—41no—
277C8×C127—41no—
278C8×C127AGL(1,ℤ/8)12yescomplemented
279C22×C127—21no—
280C22×C127—21no—
281C22×C127—22no—
282C22×C127—21no—
283C22×C127—41no—
284C22×C127—41no—
285C22×C127—41no—
286C22×C127—41no—
287C22×C127—41no—
288C22×C127—84no—
289C22×C127—81no—
290C22×C127—81no—
291C22×C127—81no—
292C22×C127C2×#12111yescharacteristic
293C4×C127—21no—
294C4×C127—21no—
295C4×C127—21no—
296C4×C127—21no—
297C4×C127—41no—
298C4×C127—41no—
299C4×C127—81no—
300C4×C127—81no—
301C4×C127—81no—
302C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
303C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
304C4×C127#57511yescharacteristic
305C4×C127#57511yescharacteristic
306#19304C12711yesmaximal, characteristic, direct product factor, Sylow
307C2×C127—41no—
308C2×C127—42no—
309C2×C127—81no—
310C2×C127—161no—
311C2×C127#303611yescharacteristic
312C2×C127#305511yescharacteristic
313C2×C127#306911yescharacteristic
314#3182C2×C12711yescharacteristic, complemented
315#3110C2×C12711yescharacteristic, complemented
316#3036C2×C12711yescharacteristic
317D4×M16C2×C12711yescharacteristic, complemented
318#1701C2×C12711yescharacteristic, complemented
319#1699C2×C12711yescharacteristic, complemented
320#1693C2×C12711yescharacteristic, complemented
321#1685C2×C12711yescharacteristic, complemented
322#1681C2×C12711yescharacteristic, complemented
323#1679C2×C12711yescharacteristic, complemented
324#1673C2×C12711yescharacteristic, complemented
325#1665C2×C12711yescharacteristic, complemented
326#1569C2×C12711yescharacteristic, complemented
327#1561C2×C12711yescharacteristic, complemented
328#1557C2×C12711yescharacteristic, complemented
329C127#1930411yescharacteristic, direct product factor, Sylow
330C2×AGL(1,ℤ/8)—21no—
331C22×M16—21no—
332#533C22×C12711yescharacteristic
333#532C22×C12711yescharacteristic
334C2×C4×D4C22×C12711yescharacteristic
335#500C22×C12711yescharacteristic, complemented
336#492C22×C12711yescharacteristic, complemented
337#487C22×C12711yescharacteristic, complemented
338#486C22×C12711yescharacteristic, complemented
339#484—21no—
340#474C22×C12711yescharacteristic
341#474C22×C12711yescharacteristic
342#468—21no—
343#468—21no—
344#463—21no—
345#463—21no—
346#461C22×C12711yescharacteristic
347#461C22×C12711yescharacteristic
348#461C22×C12711yescharacteristic
349#461C22×C12711yescharacteristic
350#459C22×C12711yescharacteristic
351#459C22×C12711yescharacteristic
352#450—21no—
353#440—21no—
354#440—21no—
355#440—21no—
356#440—21no—
357#436C22×C12711yescharacteristic
358#436C22×C12711yescharacteristic
359#435—21no—
360#435—21no—
361C8×D4C22×C12711yescharacteristic
362C8×D4C22×C12711yescharacteristic
363#432C22×C12711yescharacteristic
364#423C22×C12711yescharacteristic
365#423C22×C12711yescharacteristic
366#417—21no—
367#407—21no—
368C4×M16C22×C12711yescharacteristic
369#335C22×C12711yescharacteristic, complemented
370#335C22×C12711yescharacteristic, complemented
371#334C22×C12711yescharacteristic, complemented
372#334C22×C12711yescharacteristic, complemented
373#332C22×C12711yescharacteristic, complemented
374#332C22×C12711yescharacteristic, complemented
375#332C22×C12711yescharacteristic, complemented
376#332C22×C12711yescharacteristic, complemented
377#332C22×C12711yescharacteristic, complemented
378#332C22×C12711yescharacteristic, complemented
379#331C22×C12711yescharacteristic, complemented
380#331C22×C12711yescharacteristic, complemented
381C2×#41—21no—
382C22×D4D4×C12711yescharacteristic
383C23×C4—21no—
384AGL(1,ℤ/8)—44no—
385C2×SD16—21no—
386C2×SD16—21no—
387C2×SD16—21no—
388C2×SD16—21no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×D8—21no—
392C2×D8—21no—
393C2×M16—21no—
394C2×M16—21no—
395C2×M16—21no—
396C2×M16—21no—
397C2×M16—44no—
398C2×M16D4×C12711yescharacteristic
399C2×M16D4×C12711yescharacteristic
400C22×C8—21no—
401C22×C8—21no—
402C4⋊Q8C23×C12711yescharacteristic
403C4⋊Q8C23×C12711yescharacteristic
404C4⋊Q8C23×C12711yescharacteristic
405#127C23×C12711yescharacteristic
406#125—21no—
407#124—21no—
408C22⋊Q8—21no—
409C22⋊Q8—21no—
410#121—21no—
411#121—21no—
412C4×Q8—21no—
413C4×Q8—21no—
414C4×D4—21no—
415C4×D4—21no—
416C4×D4—21no—
417C4×D4—21no—
418C4×D4D4×C12711yescharacteristic
419C4×D4D4×C12711yescharacteristic
420C4×D4C23×C12711yescharacteristic
421C4×D4C23×C12711yescharacteristic
422#117—21no—
423C2×C4⋊C4D4×C12711yescharacteristic
424C2×C22⋊C4—21no—
425C2×C42C23×C12711yescharacteristic
426#107—21no—
427#107—21no—
428#107—21no—
429#107—21no—
430C4⋊C8—21no—
431C4⋊C8—21no—
432C4⋊C8C23×C12711yescharacteristic
433C4⋊C8C23×C12711yescharacteristic
434C4⋊C8C23×C12711yescharacteristic
435C4⋊C8C23×C12711yescharacteristic
436C4⋊C8C23×C12711yescharacteristic
437C4⋊C8C23×C12711yescharacteristic
438#103—21no—
439#103—21no—
440#103—21no—
441#103—21no—
442#103—21no—
443#103—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450C22⋊C8—21no—
451C22⋊C8—21no—
452C22⋊C8—21no—
453C22⋊C8—21no—
454C22⋊C8—21no—
455#97—21no—
456#97D4×C12711yescharacteristic
457#97D4×C12711yescharacteristic
458C4×C8C23×C12711yescharacteristic
459C4×C8C23×C12711yescharacteristic
460C24—21no—
461#41—42no—
462#41—42no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—41no—
472C2×D4—41no—
473C2×D4C2×D4×C12711yescharacteristic
474C2×D4C2×D4×C12711yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—41no—
483C22×C4C2×D4×C12711yescharacteristic
484C22×C4C2×D4×C12711yescharacteristic
485C22×C4#41×C12711yescharacteristic
486SD16—42no—
487SD16—42no—
488SD16—42no—
489SD16—42no—
490SD16—42no—
491SD16—42no—
492D8—42no—
493D8—42no—
494M16—22no—
495M16—41no—
496M16—42no—
497M16—42no—
498M16—42no—
499M16—42no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—42no—
507C2×C8—42no—
508C2×C8C2×D4×C12711yescharacteristic
509C2×C8C2×D4×C12711yescharacteristic
510C2×C8C2×D4×C12711yescharacteristic
511C2×C8C2×D4×C12711yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4C2×D4×C12711yescharacteristic
522C4⋊C4C2×D4×C12711yescharacteristic
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C22⋊C4—41no—
528C22⋊C4—41no—
529C22⋊C4—41no—
530C42—41no—
531C42C2×D4×C12711yescharacteristic
532C42C2×D4×C12711yescharacteristic
533C42#41×C12711yescharacteristic
534C42C24×C12711yescharacteristic
535C23—21no—
536C23—21no—
537C23—42no—
538C23—42no—
539C23—41no—
540C23—81no—
541C23#121×C12711yescharacteristic
542Q8—41no—
543Q8—41no—
544Q8—41no—
545Q8—41no—
546Q8—41no—
547Q8—41no—
548D4—21no—
549D4—21no—
550D4—21no—
551D4—42no—
552D4—41no—
553D4—41no—
554D4—41no—
555D4—41no—
556D4—81no—
557D4—82no—
558D4AGL(1,ℤ/8)×C12712yes—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—82no—
577C2×C4#121×C12711yescharacteristic
578C2×C4#121×C12711yescharacteristic
579C2×C4#121×C12711yescharacteristic
580C2×C4C22×D4×C12711yescharacteristic
581C2×C4C22×D4×C12711yescharacteristic
582C2×C4C2×#41×C12711yescharacteristic
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C8AGL(1,ℤ/8)×C12712yescomplemented
593C22—21no—
594C22—21no—
595C22—22no—
596C22—21no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—84no—
603C22—81no—
604C22—81no—
605C22—81no—
606C22C2×#121×C12711yescharacteristic
607C4—21no—
608C4—21no—
609C4—21no—
610C4—21no—
611C4—41no—
612C4—41no—
613C4—81no—
614C4—81no—
615C4—81no—
616C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
617C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
618C4#575×C12711yescharacteristic
619C4#575×C12711yescharacteristic
620C2—41no—
621C2—42no—
622C2—81no—
623C2—161no—
624C2C127×#303611yescharacteristic
625C2C127×#305511yescharacteristic
626C2C127×#306911yescharacteristic
subgroupG/H
center, socleC22×C127C2×#121
commutator, Frattini, cosocleC42C24×C127
prime radicalC127×#3036C2
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×#3182C2semidirect
2. C127×#3110C2semidirect
4. D4×M16×C127C2semidirect
5. C127×#1701C2semidirect
6. C127×#1699C2semidirect
7. C127×#1693C2semidirect
8. C127×#1685C2semidirect
9. C127×#1681C2semidirect
10. C127×#1679C2semidirect
11. C127×#1673C2semidirect
12. C127×#1665C2semidirect
13. C127×#1569C2semidirect
14. C127×#1561C2semidirect
15. C127×#1557C2semidirect
21. #500×C127C22semidirect
22. #492×C127C22semidirect
23. #487×C127C22semidirect
24. #486×C127C22semidirect
55. #335×C127C22semidirect
56. #335×C127C22semidirect
57. #334×C127C22semidirect
58. #334×C127C22semidirect
59. #332×C127C22semidirect
60. #332×C127C22semidirect
61. #332×C127C22semidirect
62. #332×C127C22semidirect
63. #332×C127C22semidirect
64. #332×C127C22semidirect
65. #331×C127C22semidirect
66. #331×C127C22semidirect
278. C8×C127AGL(1,ℤ/8)semidirect
306. #19304C127direct (N × H)
314. #3182C2×C127semidirect
315. #3110C2×C127semidirect
317. D4×M16C2×C127semidirect
318. #1701C2×C127semidirect
319. #1699C2×C127semidirect
320. #1693C2×C127semidirect
321. #1685C2×C127semidirect
322. #1681C2×C127semidirect
323. #1679C2×C127semidirect
324. #1673C2×C127semidirect
325. #1665C2×C127semidirect
326. #1569C2×C127semidirect
327. #1561C2×C127semidirect
328. #1557C2×C127semidirect
329. C127#19304direct (N × H)
335. #500C22×C127semidirect
336. #492C22×C127semidirect
337. #487C22×C127semidirect
338. #486C22×C127semidirect
369. #335C22×C127semidirect
370. #335C22×C127semidirect
371. #334C22×C127semidirect
372. #334C22×C127semidirect
373. #332C22×C127semidirect
374. #332C22×C127semidirect
375. #332C22×C127semidirect
376. #332C22×C127semidirect
377. #332C22×C127semidirect
378. #332C22×C127semidirect
379. #331C22×C127semidirect
380. #331C22×C127semidirect
592. 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×#31822
C127×#31102
C127×#30362
D4×M16×C1272
C127×#17012
C127×#16992
C127×#16932
C127×#16852
C127×#16812
C127×#16792
C127×#16732
C127×#16652
C127×#15692
C127×#15612
C127×#15572
#19304127