Finite Group Databasebeta

← C127×#18532 #44582205

Subgroups — C127×#18532 #44582205

Order 32512.

1028 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3481C211yesmaximal, characteristic
2C127×#3141C211yesmaximal, characteristic, complemented
3C127×#3079C211yesmaximal, characteristic, complemented
4C127×#3039C211yesmaximal, characteristic, complemented
5C127×#1644C212yesmaximal, complemented
6C127×#1643C212yesmaximal, complemented
7C127×#1640C212yesmaximal, complemented
8C127×#1639C212yesmaximal, complemented
9C127×#1560C211yesmaximal, characteristic, complemented
10C127×#1489C211yesmaximal, characteristic, complemented
11C127×#1489C211yesmaximal, characteristic, complemented
12C2×#137×C127—21no—
13#559×C127C2211yescharacteristic
14#554×C127C2211yescharacteristic
15#554×C127C2211yescharacteristic
16#553×C127—21no—
17#553×C127—21no—
18#551×C127—22no—
19#546×C127—21no—
20#546×C127—21no—
21D42×C127C2211yescharacteristic
22#532×C127C2211yescharacteristic
23C2×C4⋊Q8×C127C2211yescharacteristic, complemented
24#529×C127—21no—
25#529×C127—21no—
26#525×C127—22no—
27C4×#41×C127C2211yescharacteristic
28C4×#41×C127C2211yescharacteristic
29C2×C4×D4×C127—21no—
30C2×C4×D4×C127—21no—
31#489×C127—22no—
32#487×C127C2212yescomplemented
33#486×C127C2212yes—
34#477×C127—21no—
35#476×C127—21no—
36#475×C127C2212yescomplemented
37#474×C127C2212yes—
38#462×C127—21no—
39#462×C127C2212yescomplemented
40#461×C127—21no—
41#461×C127C2212yes—
42#428×C127—21no—
43#423×C127C2211yescharacteristic, complemented
44#423×C127C2211yescharacteristic, complemented
45#419×C127—21no—
46#417×C127—22no—
47#417×C127—21no—
48C4×M16×C127C2211yescharacteristic, complemented
49#333×C127C2212yescomplemented
50#331×C127C2212yes—
51Q8⋊C8×C127C2212yescomplemented
52Q8⋊C8×C127C2212yescomplemented
53D4⋊C8×C127C2212yes—
54D4⋊C8×C127C2212yes—
55C2×#41×C127D411yescharacteristic
56C2×#41×C127D411yescharacteristic
57C2×#41×C127D412yes—
58C22×Q8×C127—21no—
59C22×D4×C127—21no—
60C22×D4×C127—21no—
61C23×C4×C127—22no—
62#137×C127—44no—
63C2×Q16×C127—22no—
64C2×SD16×C127—22no—
65C2×M16×C127—21no—
66C2×M16×C127—21no—
67C2×M16×C127—21no—
68C4⋊Q8×C127—21no—
69C4⋊Q8×C127—21no—
70C4⋊Q8×C127—21no—
71C4⋊Q8×C127C2312yes—
72C4⋊Q8×C127C2311yescharacteristic
73#127×C127C2311yescharacteristic
74#126×C127—22no—
75#126×C127—22no—
76#125×C127—21no—
77#125×C127—21no—
78#124×C127—21no—
79#124×C127—21no—
80#124×C127D412yes—
81#123×C127—22no—
82#123×C127—22no—
83#123×C127—22no—
84#123×C127—22no—
85C22⋊Q8×C127—22no—
86C22⋊Q8×C127—22no—
87C22⋊Q8×C127—21no—
88C22⋊Q8×C127—21no—
89#121×C127—22no—
90#121×C127—22no—
91#121×C127—21no—
92#121×C127—21no—
93#121×C127—21no—
94#121×C127—21no—
95#120×C127—22no—
96#120×C127—22no—
97C4×Q8×C127D411yescharacteristic
98C4×Q8×C127D411yescharacteristic
99C4×Q8×C127C2311yescharacteristic
100C4×Q8×C127C2311yescharacteristic
101C4×D4×C127—22no—
102C4×D4×C127—22no—
103C4×D4×C127—22no—
104C4×D4×C127—22no—
105C4×D4×C127—21no—
106C4×D4×C127—21no—
107C4×D4×C127—21no—
108C4×D4×C127—21no—
109C4×D4×C127—21no—
110C4×D4×C127—21no—
111C4×D4×C127—21no—
112C4×D4×C127—21no—
113C4×D4×C127—21no—
114C4×D4×C127—21no—
115C4×D4×C127D411yescharacteristic
116C4×D4×C127D411yescharacteristic
117C4×D4×C127C2311yescharacteristic
118C4×D4×C127C2311yescharacteristic
119#117×C127—22no—
120#117×C127—21no—
121#117×C127—21no—
122#117×C127D411yescharacteristic
123#117×C127D411yescharacteristic
124C2×C4⋊C4×C127—21no—
125C2×C4⋊C4×C127—21no—
126C2×C4⋊C4×C127—21no—
127C2×C4⋊C4×C127—21no—
128C2×C22⋊C4×C127—22no—
129C2×C22⋊C4×C127—22no—
130C2×C42×C127—21no—
131C2×C42×C127—21no—
132C2×C42×C127C2311yescharacteristic
133#107×C127—22no—
134#106×C127—22no—
135C4⋊C8×C127—21no—
136C4⋊C8×C127—21no—
137C4⋊C8×C127C2312yes—
138C4⋊C8×C127C2312yes—
139#103×C127—22no—
140#103×C127—24no—
141#103×C127—22no—
142#103×C127—22no—
143#102×C127—22no—
144#102×C127—24no—
145#97×C127—21no—
146C4×C8×C127C2312yes—
147C24×C127—22no—
148#41×C127—22no—
149#41×C127—22no—
150#41×C127—41no—
151#41×C127—41no—
152#41×C127—44no—
153C2×Q8×C127—22no—
154C2×Q8×C127—42no—
155C2×Q8×C127—42no—
156C2×Q8×C127—41no—
157C2×Q8×C127C2×D411yescharacteristic
158C2×Q8×C127C2×D411yescharacteristic
159C2×Q8×C127C2×D412yes—
160C2×D4×C127—22no—
161C2×D4×C127—22no—
162C2×D4×C127—21no—
163C2×D4×C127—21no—
164C2×D4×C127—22no—
165C2×D4×C127—21no—
166C2×D4×C127—21no—
167C2×D4×C127—42no—
168C2×D4×C127—42no—
169C2×D4×C127—42no—
170C2×D4×C127—42no—
171C2×D4×C127C2×D411yescharacteristic
172C2×D4×C127C2×D411yescharacteristic
173C2×D4×C127C2×D412yes—
174C22×C4×C127—22no—
175C22×C4×C127—22no—
176C22×C4×C127—22no—
177C22×C4×C127—21no—
178C22×C4×C127—21no—
179C22×C4×C127—21no—
180C22×C4×C127—21no—
181C22×C4×C127—22no—
182C22×C4×C127—21no—
183C22×C4×C127—21no—
184C22×C4×C127—41no—
185C22×C4×C127—84no—
186C22×C4×C127C2×D411yescharacteristic
187C22×C4×C127C2×D411yescharacteristic
188C22×C4×C127C2×D411yescharacteristic
189Q16×C127—44no—
190SD16×C127—44no—
191M16×C127—42no—
192M16×C127—42no—
193M16×C127—42no—
194C2×C8×C127—22no—
195C2×C8×C127—22no—
196C2×C8×C127—22no—
197C4⋊C4×C127—22no—
198C4⋊C4×C127—22no—
199C4⋊C4×C127—22no—
200C4⋊C4×C127—22no—
201C4⋊C4×C127—21no—
202C4⋊C4×C127—21no—
203C4⋊C4×C127—21no—
204C4⋊C4×C127—21no—
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127—22no—
208C4⋊C4×C127—22no—
209C4⋊C4×C127—41no—
210C4⋊C4×C127—41no—
211C4⋊C4×C127C2×D411yescharacteristic
212C4⋊C4×C127C2×D411yescharacteristic
213C4⋊C4×C127C2×D411yescharacteristic
214C4⋊C4×C127C2×D411yescharacteristic
215C22⋊C4×C127—22no—
216C22⋊C4×C127—22no—
217C22⋊C4×C127—22no—
218C22⋊C4×C127—22no—
219C22⋊C4×C127—22no—
220C22⋊C4×C127—22no—
221C22⋊C4×C127—21no—
222C22⋊C4×C127—21no—
223C22⋊C4×C127—21no—
224C22⋊C4×C127—21no—
225C22⋊C4×C127—22no—
226C22⋊C4×C127—22no—
227C22⋊C4×C127—21no—
228C22⋊C4×C127—21no—
229C42×C127—21no—
230C42×C127—21no—
231C42×C127—21no—
232C42×C127—21no—
233C42×C127—21no—
234C42×C127—21no—
235C42×C127C2×D411yescharacteristic
236C42×C127C2×D411yescharacteristic
237C42×C127C2×D411yescharacteristic
238C42×C127C2411yescharacteristic
239C23×C127—21no—
240C23×C127—21no—
241C23×C127—22no—
242C23×C127—44no—
243C23×C127—44no—
244C23×C127—82no—
245C23×C127#12011yescharacteristic
246Q8×C127—21no—
247Q8×C127—21no—
248Q8×C127—21no—
249Q8×C127—21no—
250Q8×C127—42no—
251Q8×C127—42no—
252Q8×C127—42no—
253Q8×C127—82no—
254D4×C127—21no—
255D4×C127—21no—
256D4×C127—42no—
257D4×C127—42no—
258D4×C127—42no—
259D4×C127—44no—
260D4×C127—44no—
261D4×C127—41no—
262D4×C127—41no—
263D4×C127—41no—
264D4×C127—41no—
265D4×C127—82no—
266D4×C127AGL(1,ℤ/8)12yes—
267D4×C127#13712yescomplemented
268C2×C4×C127—21no—
269C2×C4×C127—21no—
270C2×C4×C127—21no—
271C2×C4×C127—21no—
272C2×C4×C127—22no—
273C2×C4×C127—21no—
274C2×C4×C127—21no—
275C2×C4×C127—21no—
276C2×C4×C127—21no—
277C2×C4×C127—21no—
278C2×C4×C127—21no—
279C2×C4×C127—22no—
280C2×C4×C127—42no—
281C2×C4×C127—42no—
282C2×C4×C127—41no—
283C2×C4×C127—41no—
284C2×C4×C127—41no—
285C2×C4×C127—41no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127—44no—
289C2×C4×C127—42no—
290C2×C4×C127—82no—
291C2×C4×C127—82no—
292C2×C4×C127—82no—
293C2×C4×C127—82no—
294C2×C4×C127#12011yescharacteristic
295C2×C4×C127#12011yescharacteristic
296C2×C4×C127#12011yescharacteristic
297C2×C4×C127C22×D411yescharacteristic
298C2×C4×C127C22×D411yescharacteristic
299C2×C4×C127C22×D411yescharacteristic
300C8×C127—42no—
301C8×C127—42no—
302C8×C127—42no—
303C22×C127—21no—
304C22×C127—22no—
305C22×C127—21no—
306C22×C127—22no—
307C22×C127—21no—
308C22×C127—41no—
309C22×C127—41no—
310C22×C127—41no—
311C22×C127—41no—
312C22×C127—42no—
313C22×C127—42no—
314C22×C127—42no—
315C22×C127—88no—
316C22×C127C2×#12011yescharacteristic
317C4×C127—21no—
318C4×C127—21no—
319C4×C127—21no—
320C4×C127—41no—
321C4×C127—41no—
322C4×C127—41no—
323C4×C127—41no—
324C4×C127—41no—
325C4×C127—41no—
326C4×C127—42no—
327C4×C127—82no—
328C4×C127#45512yes—
329C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
330C4×C127C2×#13711yescharacteristic
331C4×C127#57511yescharacteristic
332C4×C127#57511yescharacteristic
333#18532C12711yesmaximal, characteristic, direct product factor, Sylow
334C2×C127—41no—
335C2×C127—42no—
336C2×C127—42no—
337C2×C127—82no—
338C2×C127#300611yescharacteristic
339C2×C127#300711yescharacteristic
340C2×C127C2×#45511yescharacteristic
341#3481C2×C12711yescharacteristic
342#3141C2×C12711yescharacteristic, complemented
343#3079C2×C12711yescharacteristic, complemented
344#3039C2×C12711yescharacteristic, complemented
345#1644C2×C12712yescomplemented
346#1643C2×C12712yescomplemented
347#1640C2×C12712yescomplemented
348#1639C2×C12712yescomplemented
349#1560C2×C12711yescharacteristic, complemented
350#1489C2×C12711yescharacteristic, complemented
351#1489C2×C12711yescharacteristic, complemented
352C127#1853211yescharacteristic, direct product factor, Sylow
353C2×#137—21no—
354#559C22×C12711yescharacteristic
355#554C22×C12711yescharacteristic
356#554C22×C12711yescharacteristic
357#553—21no—
358#553—21no—
359#551—22no—
360#546—21no—
361#546—21no—
362D42C22×C12711yescharacteristic
363#532C22×C12711yescharacteristic
364C2×C4⋊Q8C22×C12711yescharacteristic, complemented
365#529—21no—
366#529—21no—
367#525—22no—
368C4×#41C22×C12711yescharacteristic
369C4×#41C22×C12711yescharacteristic
370C2×C4×D4—21no—
371C2×C4×D4—21no—
372#489—22no—
373#487C22×C12712yescomplemented
374#486C22×C12712yes—
375#477—21no—
376#476—21no—
377#475C22×C12712yescomplemented
378#474C22×C12712yes—
379#462—21no—
380#462C22×C12712yescomplemented
381#461—21no—
382#461C22×C12712yes—
383#428—21no—
384#423C22×C12711yescharacteristic, complemented
385#423C22×C12711yescharacteristic, complemented
386#419—21no—
387#417—21no—
388#417—22no—
389C4×M16C22×C12711yescharacteristic, complemented
390#333C22×C12712yescomplemented
391#331C22×C12712yes—
392Q8⋊C8C22×C12712yescomplemented
393Q8⋊C8C22×C12712yescomplemented
394D4⋊C8C22×C12712yes—
395D4⋊C8C22×C12712yes—
396C2×#41D4×C12711yescharacteristic
397C2×#41D4×C12711yescharacteristic
398C2×#41D4×C12712yes—
399C22×Q8—21no—
400C22×D4—21no—
401C22×D4—21no—
402C23×C4—22no—
403#137—44no—
404C2×Q16—22no—
405C2×SD16—22no—
406C2×M16—21no—
407C2×M16—21no—
408C2×M16—21no—
409C4⋊Q8—21no—
410C4⋊Q8—21no—
411C4⋊Q8—21no—
412C4⋊Q8C23×C12712yes—
413C4⋊Q8C23×C12711yescharacteristic
414#127C23×C12711yescharacteristic
415#126—22no—
416#126—22no—
417#125—21no—
418#125—21no—
419#124—21no—
420#124—21no—
421#124D4×C12712yes—
422#123—22no—
423#123—22no—
424#123—22no—
425#123—22no—
426C22⋊Q8—22no—
427C22⋊Q8—22no—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430#121—22no—
431#121—22no—
432#121—21no—
433#121—21no—
434#121—21no—
435#121—21no—
436#120—22no—
437#120—22no—
438C4×Q8D4×C12711yescharacteristic
439C4×Q8D4×C12711yescharacteristic
440C4×Q8C23×C12711yescharacteristic
441C4×Q8C23×C12711yescharacteristic
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—21no—
447C4×D4—21no—
448C4×D4—21no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4D4×C12711yescharacteristic
457C4×D4D4×C12711yescharacteristic
458C4×D4C23×C12711yescharacteristic
459C4×D4C23×C12711yescharacteristic
460#117—22no—
461#117—21no—
462#117—21no—
463#117D4×C12711yescharacteristic
464#117D4×C12711yescharacteristic
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C22⋊C4—22no—
470C2×C22⋊C4—22no—
471C2×C42—21no—
472C2×C42—21no—
473C2×C42C23×C12711yescharacteristic
474#107—22no—
475#106—22no—
476C4⋊C8—21no—
477C4⋊C8—21no—
478C4⋊C8C23×C12712yes—
479C4⋊C8C23×C12712yes—
480#103—22no—
481#103—24no—
482#103—22no—
483#103—22no—
484#102—22no—
485#102—24no—
486#97—21no—
487C4×C8C23×C12712yes—
488C24—22no—
489#41—22no—
490#41—22no—
491#41—41no—
492#41—41no—
493#41—44no—
494C2×Q8—22no—
495C2×Q8—42no—
496C2×Q8—42no—
497C2×Q8—41no—
498C2×Q8C2×D4×C12711yescharacteristic
499C2×Q8C2×D4×C12711yescharacteristic
500C2×Q8C2×D4×C12712yes—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4C2×D4×C12711yescharacteristic
513C2×D4C2×D4×C12711yescharacteristic
514C2×D4C2×D4×C12712yes—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—84no—
527C22×C4C2×D4×C12711yescharacteristic
528C22×C4C2×D4×C12711yescharacteristic
529C22×C4C2×D4×C12711yescharacteristic
530Q16—44no—
531SD16—44no—
532M16—42no—
533M16—42no—
534M16—42no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4C2×D4×C12711yescharacteristic
553C4⋊C4C2×D4×C12711yescharacteristic
554C4⋊C4C2×D4×C12711yescharacteristic
555C4⋊C4C2×D4×C12711yescharacteristic
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42C2×D4×C12711yescharacteristic
577C42C2×D4×C12711yescharacteristic
578C42C2×D4×C12711yescharacteristic
579C42C24×C12711yescharacteristic
580C23—21no—
581C23—21no—
582C23—22no—
583C23—44no—
584C23—44no—
585C23—82no—
586C23#120×C12711yescharacteristic
587Q8—21no—
588Q8—21no—
589Q8—21no—
590Q8—21no—
591Q8—42no—
592Q8—42no—
593Q8—42no—
594Q8—82no—
595D4—21no—
596D4—21no—
597D4—42no—
598D4—42no—
599D4—42no—
600D4—44no—
601D4—44no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—82no—
607D4AGL(1,ℤ/8)×C12712yes—
608D4#137×C12712yescomplemented
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—44no—
630C2×C4—42no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4#120×C12711yescharacteristic
636C2×C4#120×C12711yescharacteristic
637C2×C4#120×C12711yescharacteristic
638C2×C4C22×D4×C12711yescharacteristic
639C2×C4C22×D4×C12711yescharacteristic
640C2×C4C22×D4×C12711yescharacteristic
641C8—42no—
642C8—42no—
643C8—42no—
644C22—21no—
645C22—22no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—88no—
657C22C2×#120×C12711yescharacteristic
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—42no—
668C4—82no—
669C4#455×C12712yes—
670C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
671C4C2×#137×C12711yescharacteristic
672C4#575×C12711yescharacteristic
673C4#575×C12711yescharacteristic
674C2—41no—
675C2—42no—
676C2—42no—
677C2—82no—
678C2C127×#300611yescharacteristic
679C2C127×#300711yescharacteristic
680C2C2×#455×C12711yescharacteristic
subgroupG/H
center, socleC22×C127C2×#120
commutator, Frattini, cosocleC42C24×C127
prime radicalC127×#3481C2
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
2. C127×#3141C2semidirect
3. C127×#3079C2semidirect
4. C127×#3039C2semidirect
5. C127×#1644C2semidirect
6. C127×#1643C2semidirect
7. C127×#1640C2semidirect
8. C127×#1639C2semidirect
9. C127×#1560C2semidirect
10. C127×#1489C2semidirect
11. C127×#1489C2semidirect
23. C2×C4⋊Q8×C127C22semidirect
32. #487×C127C22semidirect
36. #475×C127C22semidirect
39. #462×C127C22semidirect
43. #423×C127C22semidirect
44. #423×C127C22semidirect
48. C4×M16×C127C22semidirect
49. #333×C127C22semidirect
51. Q8⋊C8×C127C22semidirect
52. Q8⋊C8×C127C22semidirect
267. D4×C127#137semidirect
333. #18532C127direct (N × H)
342. #3141C2×C127semidirect
343. #3079C2×C127semidirect
344. #3039C2×C127semidirect
345. #1644C2×C127semidirect
346. #1643C2×C127semidirect
347. #1640C2×C127semidirect
348. #1639C2×C127semidirect
349. #1560C2×C127semidirect
350. #1489C2×C127semidirect
351. #1489C2×C127semidirect
352. C127#18532direct (N × H)
364. C2×C4⋊Q8C22×C127semidirect
373. #487C22×C127semidirect
377. #475C22×C127semidirect
380. #462C22×C127semidirect
384. #423C22×C127semidirect
385. #423C22×C127semidirect
389. C4×M16C22×C127semidirect
390. #333C22×C127semidirect
392. Q8⋊C8C22×C127semidirect
393. Q8⋊C8C22×C127semidirect
608. D4#137×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#34812
C127×#31412
C127×#30792
C127×#30392
C127×#16442
C127×#16432
C127×#16402
C127×#16392
C127×#15602
C127×#14892
#18532127