Finite Group Databasebeta

← C127×#18240 #44581913

Subgroups — C127×#18240 #44581913

Order 32512.

1056 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3558C211yesmaximal, characteristic, complemented
2C127×#3114C211yesmaximal, characteristic, complemented
3C127×#3100C211yesmaximal, characteristic, complemented
4C127×#2631C211yesmaximal, characteristic, complemented
5C127×#1612C212yesmaximal, complemented
6C127×#1607C212yesmaximal, complemented
7C127×#1600C212yesmaximal, complemented
8C127×#1595C212yesmaximal, complemented
9C127×#1521C211yesmaximal, characteristic, complemented
10C127×#1514C211yesmaximal, characteristic, complemented
11C127×#1469C211yesmaximal, characteristic, complemented
12#562×C127—21no—
13H(3,𝔽4)×C127—21no—
14#559×C127—21no—
15#548×C127—21no—
16#546×C127—21no—
17#546×C127—22no—
18D42×C127—21no—
19#542×C127—21no—
20#538×C127—22no—
21#538×C127C2212yes—
22#535×C127—21no—
23#534×C127C2212yes—
24#532×C127C2211yescharacteristic
25#529×C127C2211yescharacteristic
26C2×#124×C127C2211yescharacteristic
27C2×C4×D4×C127C2211yescharacteristic, complemented
28#483×C127C2211yescharacteristic, complemented
29#480×C127C2211yescharacteristic
30#480×C127C2212yescomplemented
31#478×C127—21no—
32#474×C127—21no—
33#463×C127—21no—
34#459×C127—21no—
35#450×C127C2211yescharacteristic, complemented
36#447×C127C2211yescharacteristic
37#447×C127C2212yescomplemented
38#442×C127—21no—
39#440×C127—21no—
40C4×D8×C127—22no—
41#432×C127C2211yescharacteristic, complemented
42#431×C127C2211yescharacteristic, complemented
43#397×C127C2212yescomplemented
44#393×C127—21no—
45#392×C127—21no—
46#392×C127C2212yescomplemented
47#386×C127—22no—
48#383×C127C2211yescharacteristic, complemented
49#328×C127C2212yescomplemented
50#327×C127C2212yes—
51#327×C127C2212yescomplemented
52#327×C127C2212yescomplemented
53#323×C127C2212yescomplemented
54#323×C127C2212yescomplemented
55C2×#41×C127—21no—
56C2×#41×C127—21no—
57C22×Q8×C127D411yescharacteristic
58C22×D4×C127—21no—
59C22×D4×C127—22no—
60C22×D4×C127—22no—
61C22×D4×C127D411yescharacteristic
62C22×D4×C127C2311yescharacteristic
63C23×C4×C127—21no—
64C2×SD16×C127—21no—
65C2×D8×C127—22no—
66C2×D8×C127—21no—
67C4⋊Q8×C127D411yescharacteristic, complemented
68#127×C127—21no—
69#127×C127D411yescharacteristic, complemented
70#126×C127—22no—
71#126×C127—21no—
72#125×C127D411yescharacteristic, complemented
73#124×C127—21no—
74#124×C127—22no—
75#124×C127—22no—
76#124×C127—22no—
77#124×C127—21no—
78#124×C127—21no—
79#124×C127—21no—
80#124×C127—21no—
81#124×C127—21no—
82#124×C127D411yescharacteristic, complemented
83#123×C127—22no—
84#123×C127—21no—
85#123×C127—22no—
86#123×C127—22no—
87#123×C127—22no—
88C22⋊Q8×C127—22no—
89C22⋊Q8×C127—21no—
90C22⋊Q8×C127—22no—
91C22⋊Q8×C127C2311yescharacteristic
92#121×C127—22no—
93#121×C127—22no—
94#121×C127—22no—
95#121×C127—21no—
96#121×C127—22no—
97#121×C127—21no—
98#121×C127—22no—
99#121×C127C2311yescharacteristic
100#121×C127C2312yes—
101#120×C127—22no—
102#120×C127—22no—
103#120×C127—22no—
104#120×C127—22no—
105#120×C127—22no—
106C4×Q8×C127—21no—
107C4×Q8×C127D411yescharacteristic, complemented
108C4×D4×C127—22no—
109C4×D4×C127—21no—
110C4×D4×C127—21no—
111C4×D4×C127—22no—
112C4×D4×C127—21no—
113C4×D4×C127—21no—
114C4×D4×C127—21no—
115C4×D4×C127—21no—
116C4×D4×C127—21no—
117C4×D4×C127D411yescharacteristic, complemented
118C4×D4×C127D412yescomplemented
119#117×C127—21no—
120C2×C4⋊C4×C127C2311yescharacteristic
121C2×C22⋊C4×C127—22no—
122C2×C22⋊C4×C127—21no—
123C2×C22⋊C4×C127—22no—
124C2×C22⋊C4×C127—22no—
125C2×C22⋊C4×C127D412yes—
126C2×C22⋊C4×C127C2312yes—
127C2×C42×C127C2311yescharacteristic
128#107×C127—22no—
129#107×C127—21no—
130#106×C127—21no—
131C4⋊C8×C127—21no—
132C4⋊C8×C127—21no—
133#103×C127—21no—
134#102×C127—22no—
135#102×C127—21no—
136#102×C127—22no—
137#102×C127—21no—
138#102×C127—21no—
139C22⋊C8×C127C2312yes—
140C22⋊C8×C127C2311yescharacteristic
141C22⋊C8×C127C2311yescharacteristic
142#97×C127—21no—
143C4×C8×C127—21no—
144#95×C127—21no—
145#95×C127—21no—
146#95×C127—22no—
147#95×C127C2312yes—
148C24×C127—22no—
149C24×C127—21no—
150C24×C127C2×D412yes—
151#41×C127—82no—
152#41×C127—82no—
153C2×Q8×C127—21no—
154C2×Q8×C127—21no—
155C2×Q8×C127—21no—
156C2×Q8×C127—81no—
157C2×Q8×C127C2×D411yescharacteristic
158C2×D4×C127—22no—
159C2×D4×C127—21no—
160C2×D4×C127—22no—
161C2×D4×C127—22no—
162C2×D4×C127—22no—
163C2×D4×C127—22no—
164C2×D4×C127—22no—
165C2×D4×C127—21no—
166C2×D4×C127—21no—
167C2×D4×C127—21no—
168C2×D4×C127—21no—
169C2×D4×C127—21no—
170C2×D4×C127—21no—
171C2×D4×C127—42no—
172C2×D4×C127—44no—
173C2×D4×C127—82no—
174C2×D4×C127—81no—
175C2×D4×C127—82no—
176C2×D4×C127—82no—
177C2×D4×C127—82no—
178C2×D4×C127—82no—
179C2×D4×C127C2×D411yescharacteristic
180C2×D4×C127C2×D412yes—
181C22×C4×C127—22no—
182C22×C4×C127—22no—
183C22×C4×C127—21no—
184C22×C4×C127—22no—
185C22×C4×C127—22no—
186C22×C4×C127—21no—
187C22×C4×C127—41no—
188C22×C4×C127—41no—
189C22×C4×C127—82no—
190C22×C4×C127C2×D411yescharacteristic
191C22×C4×C127C2×D412yes—
192C22×C4×C127C2×D411yescharacteristic
193C22×C4×C127C2411yescharacteristic
194SD16×C127—42no—
195D8×C127—44no—
196D8×C127—42no—
197C2×C8×C127—22no—
198C2×C8×C127—21no—
199C2×C8×C127—21no—
200C4⋊C4×C127—22no—
201C4⋊C4×C127—22no—
202C4⋊C4×C127—21no—
203C4⋊C4×C127—21no—
204C4⋊C4×C127—21no—
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127—21no—
208C4⋊C4×C127—21no—
209C4⋊C4×C127C2×D411yescharacteristic
210C4⋊C4×C127C2×D412yes—
211C4⋊C4×C127C2×D411yescharacteristic
212C22⋊C4×C127—22no—
213C22⋊C4×C127—22no—
214C22⋊C4×C127—22no—
215C22⋊C4×C127—22no—
216C22⋊C4×C127—22no—
217C22⋊C4×C127—21no—
218C22⋊C4×C127—21no—
219C22⋊C4×C127—22no—
220C22⋊C4×C127—22no—
221C22⋊C4×C127—21no—
222C22⋊C4×C127—21no—
223C22⋊C4×C127—22no—
224C22⋊C4×C127—22no—
225C22⋊C4×C127—22no—
226C22⋊C4×C127—21no—
227C22⋊C4×C127—22no—
228C22⋊C4×C127—41no—
229C22⋊C4×C127—41no—
230C22⋊C4×C127—82no—
231C22⋊C4×C127—82no—
232C42×C127—22no—
233C42×C127—21no—
234C42×C127C2×D411yescharacteristic
235C42×C127C2×D411yescharacteristic
236C42×C127C2×D411yescharacteristic
237C42×C127C2×D411yescharacteristic
238C23×C127—22no—
239C23×C127—22no—
240C23×C127—21no—
241C23×C127—22no—
242C23×C127—22no—
243C23×C127—22no—
244C23×C127—42no—
245C23×C127—41no—
246C23×C127—42no—
247C23×C127—42no—
248C23×C127—41no—
249C23×C127—42no—
250C23×C127—82no—
251C23×C127—82no—
252C23×C127—82no—
253C23×C127C22×D411yescharacteristic
254Q8×C127—41no—
255Q8×C127—42no—
256Q8×C127—81no—
257Q8×C127—81no—
258D4×C127—22no—
259D4×C127—22no—
260D4×C127—42no—
261D4×C127—41no—
262D4×C127—41no—
263D4×C127—41no—
264D4×C127—42no—
265D4×C127—42no—
266D4×C127—42no—
267D4×C127—42no—
268D4×C127—42no—
269D4×C127—81no—
270D4×C127—81no—
271D4×C127—82no—
272D4×C127—82no—
273D4×C127—82no—
274D4×C127—82no—
275D4×C127—82no—
276D4×C127—88no—
277C2×C4×C127—22no—
278C2×C4×C127—21no—
279C2×C4×C127—22no—
280C2×C4×C127—22no—
281C2×C4×C127—21no—
282C2×C4×C127—21no—
283C2×C4×C127—41no—
284C2×C4×C127—41no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127—42no—
289C2×C4×C127—41no—
290C2×C4×C127—42no—
291C2×C4×C127—42no—
292C2×C4×C127—82no—
293C2×C4×C127—82no—
294C2×C4×C127—82no—
295C2×C4×C127—82no—
296C2×C4×C127—82no—
297C2×C4×C127#12011yescharacteristic
298C2×C4×C127#12011yescharacteristic
299C2×C4×C127#12011yescharacteristic
300C2×C4×C127#12011yescharacteristic
301C2×C4×C127C22×D411yescharacteristic
302C2×C4×C127C22×D411yescharacteristic
303C8×C127—42no—
304C8×C127—41no—
305C8×C127—41no—
306C22×C127—21no—
307C22×C127—21no—
308C22×C127—44no—
309C22×C127—42no—
310C22×C127—42no—
311C22×C127—41no—
312C22×C127—41no—
313C22×C127—42no—
314C22×C127—42no—
315C22×C127—42no—
316C22×C127—42no—
317C22×C127—41no—
318C22×C127—42no—
319C22×C127—82no—
320C22×C127—82no—
321C22×C127—82no—
322C22×C127—81no—
323C22×C127—81no—
324C22×C127—164no—
325C22×C127C2×#12011yescharacteristic
326C22×C127#57612yes—
327C4×C127—21no—
328C4×C127—21no—
329C4×C127—21no—
330C4×C127—21no—
331C4×C127—21no—
332C4×C127—21no—
333C4×C127—41no—
334C4×C127—42no—
335C4×C127—41no—
336C4×C127—42no—
337C4×C127—41no—
338C4×C127—82no—
339C4×C127—81no—
340#18240C12711yesmaximal, characteristic, direct product factor, Sylow
341C2×C127—22no—
342C2×C127—82no—
343C2×C127—82no—
344C2×C127—82no—
345C2×C127—81no—
346C2×C127#300811yescharacteristic
347C2×C127#301911yescharacteristic
348C2×C127#302511yescharacteristic
349#3558C2×C12711yescharacteristic, complemented
350#3114C2×C12711yescharacteristic, complemented
351#3100C2×C12711yescharacteristic, complemented
352#2631C2×C12711yescharacteristic, complemented
353#1612C2×C12712yescomplemented
354#1607C2×C12712yescomplemented
355#1600C2×C12712yescomplemented
356#1595C2×C12712yescomplemented
357#1521C2×C12711yescharacteristic, complemented
358#1514C2×C12711yescharacteristic, complemented
359#1469C2×C12711yescharacteristic, complemented
360C127#1824011yescharacteristic, direct product factor, Sylow
361#562—21no—
362H(3,𝔽4)—21no—
363#559—21no—
364#548—21no—
365#546—21no—
366#546—22no—
367D42—21no—
368#542—21no—
369#538—22no—
370#538C22×C12712yes—
371#535—21no—
372#534C22×C12712yes—
373#532C22×C12711yescharacteristic
374#529C22×C12711yescharacteristic
375C2×#124C22×C12711yescharacteristic
376C2×C4×D4C22×C12711yescharacteristic, complemented
377#483C22×C12711yescharacteristic, complemented
378#480C22×C12711yescharacteristic
379#480C22×C12712yescomplemented
380#478—21no—
381#474—21no—
382#463—21no—
383#459—21no—
384#450C22×C12711yescharacteristic, complemented
385#447C22×C12711yescharacteristic
386#447C22×C12712yescomplemented
387#442—21no—
388#440—21no—
389C4×D8—22no—
390#432C22×C12711yescharacteristic, complemented
391#431C22×C12711yescharacteristic, complemented
392#397C22×C12712yescomplemented
393#393—21no—
394#392—21no—
395#392C22×C12712yescomplemented
396#386—22no—
397#383C22×C12711yescharacteristic, complemented
398#328C22×C12712yescomplemented
399#327C22×C12712yes—
400#327C22×C12712yescomplemented
401#327C22×C12712yescomplemented
402#323C22×C12712yescomplemented
403#323C22×C12712yescomplemented
404C2×#41—21no—
405C2×#41—21no—
406C22×Q8D4×C12711yescharacteristic
407C22×D4—21no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4D4×C12711yescharacteristic
411C22×D4C23×C12711yescharacteristic
412C23×C4—21no—
413C2×SD16—21no—
414C2×D8—22no—
415C2×D8—21no—
416C4⋊Q8D4×C12711yescharacteristic, complemented
417#127—21no—
418#127D4×C12711yescharacteristic, complemented
419#126—22no—
420#126—21no—
421#125D4×C12711yescharacteristic, complemented
422#124—21no—
423#124—22no—
424#124—22no—
425#124—22no—
426#124—21no—
427#124—21no—
428#124—21no—
429#124—21no—
430#124—21no—
431#124D4×C12711yescharacteristic, complemented
432#123—22no—
433#123—21no—
434#123—22no—
435#123—22no—
436#123—22no—
437C22⋊Q8—22no—
438C22⋊Q8—21no—
439C22⋊Q8—22no—
440C22⋊Q8C23×C12711yescharacteristic
441#121—22no—
442#121—22no—
443#121—22no—
444#121—21no—
445#121—22no—
446#121—21no—
447#121—22no—
448#121C23×C12711yescharacteristic
449#121C23×C12712yes—
450#120—22no—
451#120—22no—
452#120—22no—
453#120—22no—
454#120—22no—
455C4×Q8—21no—
456C4×Q8D4×C12711yescharacteristic, complemented
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4D4×C12711yescharacteristic, complemented
467C4×D4D4×C12712yescomplemented
468#117—21no—
469C2×C4⋊C4C23×C12711yescharacteristic
470C2×C22⋊C4—22no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—22no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4D4×C12712yes—
475C2×C22⋊C4C23×C12712yes—
476C2×C42C23×C12711yescharacteristic
477#107—22no—
478#107—21no—
479#106—21no—
480C4⋊C8—21no—
481C4⋊C8—21no—
482#103—21no—
483#102—22no—
484#102—21no—
485#102—22no—
486#102—21no—
487#102—21no—
488C22⋊C8C23×C12712yes—
489C22⋊C8C23×C12711yescharacteristic
490C22⋊C8C23×C12711yescharacteristic
491#97—21no—
492C4×C8—21no—
493#95—21no—
494#95—21no—
495#95—22no—
496#95C23×C12712yes—
497C24—22no—
498C24—21no—
499C24C2×D4×C12712yes—
500#41—82no—
501#41—82no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—81no—
506C2×Q8C2×D4×C12711yescharacteristic
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—82no—
523C2×D4—81no—
524C2×D4—82no—
525C2×D4—82no—
526C2×D4—82no—
527C2×D4—82no—
528C2×D4C2×D4×C12711yescharacteristic
529C2×D4C2×D4×C12712yes—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—82no—
539C22×C4C2×D4×C12711yescharacteristic
540C22×C4C2×D4×C12712yes—
541C22×C4C2×D4×C12711yescharacteristic
542C22×C4C24×C12711yescharacteristic
543SD16—42no—
544D8—44no—
545D8—42no—
546C2×C8—22no—
547C2×C8—21no—
548C2×C8—21no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4C2×D4×C12711yescharacteristic
559C4⋊C4C2×D4×C12712yes—
560C4⋊C4C2×D4×C12711yescharacteristic
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—21no—
576C22⋊C4—22no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C42—22no—
582C42—21no—
583C42C2×D4×C12711yescharacteristic
584C42C2×D4×C12711yescharacteristic
585C42C2×D4×C12711yescharacteristic
586C42C2×D4×C12711yescharacteristic
587C23—22no—
588C23—22no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—42no—
594C23—41no—
595C23—42no—
596C23—42no—
597C23—41no—
598C23—42no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23C22×D4×C12711yescharacteristic
603Q8—41no—
604Q8—42no—
605Q8—81no—
606Q8—81no—
607D4—22no—
608D4—22no—
609D4—42no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—81no—
619D4—81no—
620D4—82no—
621D4—82no—
622D4—82no—
623D4—82no—
624D4—82no—
625D4—88no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—82no—
646C2×C4#120×C12711yescharacteristic
647C2×C4#120×C12711yescharacteristic
648C2×C4#120×C12711yescharacteristic
649C2×C4#120×C12711yescharacteristic
650C2×C4C22×D4×C12711yescharacteristic
651C2×C4C22×D4×C12711yescharacteristic
652C8—42no—
653C8—41no—
654C8—41no—
655C22—21no—
656C22—21no—
657C22—44no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—41no—
667C22—42no—
668C22—82no—
669C22—82no—
670C22—82no—
671C22—81no—
672C22—81no—
673C22—164no—
674C22C2×#120×C12711yescharacteristic
675C22#576×C12712yes—
676C4—21no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—41no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—82no—
688C4—81no—
689C2—22no—
690C2—82no—
691C2—82no—
692C2—81no—
693C2—82no—
694C2C127×#300811yescharacteristic
695C2C127×#301911yescharacteristic
696C2C127×#302511yescharacteristic
subgroupG/H
center, socleC22×C127C2×#120
commutator, Frattini, cosocleC22×C4C24×C127
LCSG ▷ C22×C4 ▷ 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×#3558C2semidirect
2. C127×#3114C2semidirect
3. C127×#3100C2semidirect
4. C127×#2631C2semidirect
5. C127×#1612C2semidirect
6. C127×#1607C2semidirect
7. C127×#1600C2semidirect
8. C127×#1595C2semidirect
9. C127×#1521C2semidirect
10. C127×#1514C2semidirect
11. C127×#1469C2semidirect
27. C2×C4×D4×C127C22semidirect
28. #483×C127C22semidirect
30. #480×C127C22semidirect
35. #450×C127C22semidirect
37. #447×C127C22semidirect
41. #432×C127C22semidirect
42. #431×C127C22semidirect
43. #397×C127C22semidirect
46. #392×C127C22semidirect
48. #383×C127C22semidirect
49. #328×C127C22semidirect
51. #327×C127C22semidirect
52. #327×C127C22semidirect
53. #323×C127C22semidirect
54. #323×C127C22semidirect
67. C4⋊Q8×C127D4semidirect
69. #127×C127D4semidirect
72. #125×C127D4semidirect
82. #124×C127D4semidirect
107. C4×Q8×C127D4semidirect
117. C4×D4×C127D4semidirect
118. C4×D4×C127D4semidirect
340. #18240C127direct (N × H)
349. #3558C2×C127semidirect
350. #3114C2×C127semidirect
351. #3100C2×C127semidirect
352. #2631C2×C127semidirect
353. #1612C2×C127semidirect
354. #1607C2×C127semidirect
355. #1600C2×C127semidirect
356. #1595C2×C127semidirect
357. #1521C2×C127semidirect
358. #1514C2×C127semidirect
359. #1469C2×C127semidirect
360. C127#18240direct (N × H)
376. C2×C4×D4C22×C127semidirect
377. #483C22×C127semidirect
379. #480C22×C127semidirect
384. #450C22×C127semidirect
386. #447C22×C127semidirect
390. #432C22×C127semidirect
391. #431C22×C127semidirect
392. #397C22×C127semidirect
395. #392C22×C127semidirect
397. #383C22×C127semidirect
398. #328C22×C127semidirect
400. #327C22×C127semidirect
401. #327C22×C127semidirect
402. #323C22×C127semidirect
403. #323C22×C127semidirect
416. C4⋊Q8D4×C127semidirect
418. #127D4×C127semidirect
421. #125D4×C127semidirect
431. #124D4×C127semidirect
456. C4×Q8D4×C127semidirect
466. C4×D4D4×C127semidirect
467. C4×D4D4×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#35582
C127×#31142
C127×#31002
C127×#26312
C127×#16122
C127×#16072
C127×#16002
C127×#15952
C127×#15212
C127×#15142
C127×#14692
#18240127