Finite Group Databasebeta

← C127×#18347 #44582020

Subgroups — C127×#18347 #44582020

Order 32512.

1072 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×#3490C211yesmaximal, characteristic
2C127×#3196C212yesmaximal, complemented
3C127×#2626C211yesmaximal, characteristic, complemented
4C127×#1618C212yesmaximal, complemented
5C127×#1614C211yesmaximal, characteristic, complemented
6C127×#1613C211yesmaximal, characteristic, complemented
7C127×#1606C212yesmaximal, complemented
8C127×#1602C211yesmaximal, characteristic, complemented
9C127×#1601C211yesmaximal, characteristic, complemented
10C127×#1513C212yesmaximal, complemented
11C127×#1462C211yesmaximal, characteristic, complemented
12#551×C127—22no—
13#551×C127—22no—
14#546×C127—22no—
15#546×C127—22no—
16#543×C127C2211yescharacteristic
17#538×C127—21no—
18#538×C127C2212yes—
19#534×C127C2211yescharacteristic
20#525×C127—21no—
21#525×C127C2212yes—
22C2×C22⋊Q8×C127C2211yescharacteristic, complemented
23C2×#120×C127—21no—
24#518×C127—21no—
25C22×C22⋊C4×C127C2211yescharacteristic
26#485×C127—22no—
27#484×C127C2212yescomplemented
28#481×C127C2212yescomplemented
29#470×C127—22no—
30#468×C127—22no—
31#452×C127—22no—
32#451×C127C2212yescomplemented
33#448×C127C2212yescomplemented
34#407×C127C2212yescomplemented
35#399×C127C2211yescharacteristic
36#399×C127C2211yescharacteristic, complemented
37#396×C127—21no—
38#396×C127—21no—
39#393×C127C2211yescharacteristic
40#393×C127C2211yescharacteristic, complemented
41#385×C127—21no—
42#380×C127C2211yescharacteristic, complemented
43#379×C127—21no—
44#328×C127C2212yescomplemented
45#328×C127C2212yescomplemented
46#327×C127C2212yescomplemented
47#327×C127C2212yescomplemented
48#323×C127C2211yescharacteristic
49#323×C127C2211yescharacteristic
50#323×C127C2212yescomplemented
51C25×C127D411yescharacteristic
52C2×#41×C127—21no—
53C2×#41×C127D412yes—
54C22×Q8×C127C2311yescharacteristic
55C22×D4×C127—21no—
56C22×D4×C127—21no—
57C22×D4×C127—21no—
58C23×C4×C127D411yescharacteristic
59C23×C4×C127C2311yescharacteristic
60C2×Q16×C127—22no—
61C2×SD16×C127—22no—
62C2×M16×C127—22no—
63#126×C127—22no—
64#126×C127—22no—
65#124×C127—22no—
66#124×C127—22no—
67#123×C127—22no—
68#123×C127—22no—
69#123×C127—22no—
70#123×C127—22no—
71#123×C127—22no—
72C22⋊Q8×C127—21no—
73C22⋊Q8×C127—22no—
74C22⋊Q8×C127—21no—
75C22⋊Q8×C127—22no—
76C22⋊Q8×C127—22no—
77C22⋊Q8×C127—22no—
78C22⋊Q8×C127D412yes—
79C22⋊Q8×C127C2312yes—
80#121×C127—21no—
81#121×C127—22no—
82#121×C127—22no—
83#121×C127—21no—
84#121×C127D412yes—
85#121×C127C2312yes—
86#120×C127—22no—
87#120×C127—22no—
88#120×C127—22no—
89#120×C127—22no—
90#120×C127—22no—
91C4×D4×C127—22no—
92C4×D4×C127—22no—
93C4×D4×C127—22no—
94C4×D4×C127—22no—
95C4×D4×C127—22no—
96C4×D4×C127—22no—
97#117×C127—22no—
98#117×C127—21no—
99#117×C127D412yes—
100C2×C4⋊C4×C127—21no—
101C2×C4⋊C4×C127—21no—
102C2×C4⋊C4×C127—21no—
103C2×C4⋊C4×C127—21no—
104C2×C4⋊C4×C127C2311yescharacteristic
105C2×C22⋊C4×C127—22no—
106C2×C22⋊C4×C127—21no—
107C2×C22⋊C4×C127—21no—
108C2×C22⋊C4×C127—21no—
109C2×C22⋊C4×C127—22no—
110C2×C22⋊C4×C127—22no—
111C2×C22⋊C4×C127—21no—
112C2×C22⋊C4×C127—21no—
113C2×C22⋊C4×C127—21no—
114C2×C22⋊C4×C127—21no—
115C2×C22⋊C4×C127—21no—
116C2×C22⋊C4×C127—21no—
117C2×C22⋊C4×C127D411yescharacteristic
118C2×C22⋊C4×C127D411yescharacteristic
119C2×C22⋊C4×C127C2311yescharacteristic
120C2×C22⋊C4×C127C2311yescharacteristic
121#107×C127—22no—
122#106×C127—22no—
123#103×C127—22no—
124#103×C127—22no—
125#103×C127—22no—
126#102×C127—22no—
127C22⋊C8×C127—22no—
128C22⋊C8×C127C2312yes—
129C22⋊C8×C127C2312yes—
130#95×C127—21no—
131#95×C127—21no—
132#95×C127C2311yescharacteristic
133#95×C127C2311yescharacteristic
134C24×C127—21no—
135C24×C127—21no—
136C24×C127—21no—
137C24×C127—22no—
138C24×C127—41no—
139C24×C127—81no—
140C24×C127—81no—
141C24×C127C2×D411yescharacteristic
142C24×C127C2×D411yescharacteristic
143C24×C127C2×D411yescharacteristic
144#41×C127—82no—
145#41×C127—82no—
146C2×Q8×C127—21no—
147C2×Q8×C127—22no—
148C2×Q8×C127—81no—
149C2×Q8×C127C2×D412yes—
150C2×D4×C127—22no—
151C2×D4×C127—22no—
152C2×D4×C127—22no—
153C2×D4×C127—22no—
154C2×D4×C127—21no—
155C2×D4×C127—22no—
156C2×D4×C127—22no—
157C2×D4×C127—42no—
158C2×D4×C127—42no—
159C2×D4×C127—82no—
160C2×D4×C127—82no—
161C2×D4×C127C2×D412yes—
162C22×C4×C127—21no—
163C22×C4×C127—21no—
164C22×C4×C127—21no—
165C22×C4×C127—21no—
166C22×C4×C127—22no—
167C22×C4×C127—21no—
168C22×C4×C127—22no—
169C22×C4×C127—21no—
170C22×C4×C127—21no—
171C22×C4×C127—21no—
172C22×C4×C127—21no—
173C22×C4×C127—81no—
174C22×C4×C127—81no—
175C22×C4×C127C2×D411yescharacteristic
176C22×C4×C127C2×D411yescharacteristic
177C22×C4×C127C2×D411yescharacteristic
178C22×C4×C127C2×D412yes—
179C22×C4×C127C2×D412yes—
180C22×C4×C127C2411yescharacteristic
181Q16×C127—82no—
182SD16×C127—82no—
183M16×C127—82no—
184C2×C8×C127—22no—
185C2×C8×C127—22no—
186C4⋊C4×C127—22no—
187C4⋊C4×C127—21no—
188C4⋊C4×C127—21no—
189C4⋊C4×C127—22no—
190C4⋊C4×C127—22no—
191C4⋊C4×C127—22no—
192C4⋊C4×C127—22no—
193C4⋊C4×C127—42no—
194C4⋊C4×C127—81no—
195C4⋊C4×C127—81no—
196C4⋊C4×C127—81no—
197C4⋊C4×C127C2×D412yes—
198C4⋊C4×C127C2×D412yes—
199C22⋊C4×C127—22no—
200C22⋊C4×C127—22no—
201C22⋊C4×C127—22no—
202C22⋊C4×C127—22no—
203C22⋊C4×C127—22no—
204C22⋊C4×C127—22no—
205C22⋊C4×C127—22no—
206C22⋊C4×C127—22no—
207C22⋊C4×C127—22no—
208C22⋊C4×C127—22no—
209C22⋊C4×C127—22no—
210C22⋊C4×C127—22no—
211C22⋊C4×C127—22no—
212C22⋊C4×C127—22no—
213C22⋊C4×C127—42no—
214C22⋊C4×C127—41no—
215C22⋊C4×C127—41no—
216C22⋊C4×C127—81no—
217C22⋊C4×C127—81no—
218C22⋊C4×C127—81no—
219C22⋊C4×C127—81no—
220C42×C127—22no—
221C42×C127—22no—
222C23×C127—21no—
223C23×C127—21no—
224C23×C127—21no—
225C23×C127—21no—
226C23×C127—21no—
227C23×C127—22no—
228C23×C127—21no—
229C23×C127—21no—
230C23×C127—41no—
231C23×C127—41no—
232C23×C127—42no—
233C23×C127—42no—
234C23×C127—41no—
235C23×C127—41no—
236C23×C127—41no—
237C23×C127—41no—
238C23×C127—42no—
239C23×C127—42no—
240C23×C127—42no—
241C23×C127—81no—
242C23×C127—81no—
243C23×C127—84no—
244C23×C127—81no—
245C23×C127—81no—
246C23×C127—84no—
247C23×C127#12011yescharacteristic
248C23×C127#12011yescharacteristic
249C23×C127#13712yes—
250C23×C127C22×D411yescharacteristic
251Q8×C127—42no—
252Q8×C127—42no—
253Q8×C127—42no—
254Q8×C127—81no—
255D4×C127—42no—
256D4×C127—44no—
257D4×C127—44no—
258D4×C127—44no—
259D4×C127—42no—
260D4×C127—42no—
261D4×C127—82no—
262D4×C127—82no—
263D4×C127—81no—
264C2×C4×C127—22no—
265C2×C4×C127—21no—
266C2×C4×C127—22no—
267C2×C4×C127—22no—
268C2×C4×C127—21no—
269C2×C4×C127—41no—
270C2×C4×C127—42no—
271C2×C4×C127—42no—
272C2×C4×C127—41no—
273C2×C4×C127—42no—
274C2×C4×C127—42no—
275C2×C4×C127—41no—
276C2×C4×C127—41no—
277C2×C4×C127—41no—
278C2×C4×C127—41no—
279C2×C4×C127—41no—
280C2×C4×C127—41no—
281C2×C4×C127—41no—
282C2×C4×C127—41no—
283C2×C4×C127—41no—
284C2×C4×C127—41no—
285C2×C4×C127—41no—
286C2×C4×C127—41no—
287C2×C4×C127—41no—
288C2×C4×C127—41no—
289C2×C4×C127—82no—
290C2×C4×C127—81no—
291C2×C4×C127—81no—
292C2×C4×C127—81no—
293C2×C4×C127—82no—
294C2×C4×C127#12012yes—
295C2×C4×C127C22×D412yes—
296C8×C127—42no—
297C8×C127—42no—
298C22×C127—21no—
299C22×C127—21no—
300C22×C127—22no—
301C22×C127—21no—
302C22×C127—21no—
303C22×C127—21no—
304C22×C127—21no—
305C22×C127—21no—
306C22×C127—21no—
307C22×C127—42no—
308C22×C127—42no—
309C22×C127—42no—
310C22×C127—42no—
311C22×C127—41no—
312C22×C127—41no—
313C22×C127—42no—
314C22×C127—41no—
315C22×C127—42no—
316C22×C127—41no—
317C22×C127—42no—
318C22×C127—41no—
319C22×C127—81no—
320C22×C127—81no—
321C22×C127—84no—
322C22×C127—84no—
323C22×C127—162no—
324C22×C127C2×#12011yescharacteristic
325C22×C127C2×#13711yescharacteristic
326C22×C127#57511yescharacteristic
327C4×C127—22no—
328C4×C127—22no—
329C4×C127—42no—
330C4×C127—41no—
331C4×C127—41no—
332C4×C127—42no—
333C4×C127—42no—
334C4×C127—81no—
335C4×C127—81no—
336C4×C127—81no—
337C4×C127—81no—
338#18347C12711yesmaximal, characteristic, direct product factor, Sylow
339C2×C127—21no—
340C2×C127—21no—
341C2×C127—41no—
342C2×C127—41no—
343C2×C127—42no—
344C2×C127—81no—
345C2×C127—82no—
346C2×C127#300711yescharacteristic
347C2×C127#301911yescharacteristic
348C2×C127#302611yescharacteristic
349#3490C2×C12711yescharacteristic
350#3196C2×C12712yescomplemented
351#2626C2×C12711yescharacteristic, complemented
352#1618C2×C12712yescomplemented
353#1614C2×C12711yescharacteristic, complemented
354#1613C2×C12711yescharacteristic, complemented
355#1606C2×C12712yescomplemented
356#1602C2×C12711yescharacteristic, complemented
357#1601C2×C12711yescharacteristic, complemented
358#1513C2×C12712yescomplemented
359#1462C2×C12711yescharacteristic, complemented
360C127#1834711yescharacteristic, direct product factor, Sylow
361#551—22no—
362#551—22no—
363#546—22no—
364#546—22no—
365#543C22×C12711yescharacteristic
366#538—21no—
367#538C22×C12712yes—
368#534C22×C12711yescharacteristic
369#525—21no—
370#525C22×C12712yes—
371C2×C22⋊Q8C22×C12711yescharacteristic, complemented
372C2×#120—21no—
373#518—21no—
374C22×C22⋊C4C22×C12711yescharacteristic
375#485—22no—
376#484C22×C12712yescomplemented
377#481C22×C12712yescomplemented
378#470—22no—
379#468—22no—
380#452—22no—
381#451C22×C12712yescomplemented
382#448C22×C12712yescomplemented
383#407C22×C12712yescomplemented
384#399C22×C12711yescharacteristic
385#399C22×C12711yescharacteristic, complemented
386#396—21no—
387#396—21no—
388#393C22×C12711yescharacteristic
389#393C22×C12711yescharacteristic, complemented
390#385—21no—
391#380C22×C12711yescharacteristic, complemented
392#379—21no—
393#328C22×C12712yescomplemented
394#328C22×C12712yescomplemented
395#327C22×C12712yescomplemented
396#327C22×C12712yescomplemented
397#323C22×C12711yescharacteristic
398#323C22×C12711yescharacteristic
399#323C22×C12712yescomplemented
400C25D4×C12711yescharacteristic
401C2×#41—21no—
402C2×#41D4×C12712yes—
403C22×Q8C23×C12711yescharacteristic
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—21no—
407C23×C4D4×C12711yescharacteristic
408C23×C4C23×C12711yescharacteristic
409C2×Q16—22no—
410C2×SD16—22no—
411C2×M16—22no—
412#126—22no—
413#126—22no—
414#124—22no—
415#124—22no—
416#123—22no—
417#123—22no—
418#123—22no—
419#123—22no—
420#123—22no—
421C22⋊Q8—21no—
422C22⋊Q8—22no—
423C22⋊Q8—21no—
424C22⋊Q8—22no—
425C22⋊Q8—22no—
426C22⋊Q8—22no—
427C22⋊Q8D4×C12712yes—
428C22⋊Q8C23×C12712yes—
429#121—21no—
430#121—22no—
431#121—22no—
432#121—21no—
433#121D4×C12712yes—
434#121C23×C12712yes—
435#120—22no—
436#120—22no—
437#120—22no—
438#120—22no—
439#120—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—22no—
446#117—22no—
447#117—21no—
448#117D4×C12712yes—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4C23×C12711yescharacteristic
454C2×C22⋊C4—22no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4D4×C12711yescharacteristic
467C2×C22⋊C4D4×C12711yescharacteristic
468C2×C22⋊C4C23×C12711yescharacteristic
469C2×C22⋊C4C23×C12711yescharacteristic
470#107—22no—
471#106—22no—
472#103—22no—
473#103—22no—
474#103—22no—
475#102—22no—
476C22⋊C8—22no—
477C22⋊C8C23×C12712yes—
478C22⋊C8C23×C12712yes—
479#95—21no—
480#95—21no—
481#95C23×C12711yescharacteristic
482#95C23×C12711yescharacteristic
483C24—21no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—41no—
488C24—81no—
489C24—81no—
490C24C2×D4×C12711yescharacteristic
491C24C2×D4×C12711yescharacteristic
492C24C2×D4×C12711yescharacteristic
493#41—82no—
494#41—82no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—81no—
498C2×Q8C2×D4×C12712yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—82no—
509C2×D4—82no—
510C2×D4C2×D4×C12712yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4C2×D4×C12711yescharacteristic
525C22×C4C2×D4×C12711yescharacteristic
526C22×C4C2×D4×C12711yescharacteristic
527C22×C4C2×D4×C12712yes—
528C22×C4C2×D4×C12712yes—
529C22×C4C24×C12711yescharacteristic
530Q16—82no—
531SD16—82no—
532M16—82no—
533C2×C8—22no—
534C2×C8—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—42no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4—81no—
546C4⋊C4C2×D4×C12712yes—
547C4⋊C4C2×D4×C12712yes—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—42no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C22⋊C4—81no—
569C42—22no—
570C42—22no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—21no—
578C23—21no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—81no—
591C23—81no—
592C23—84no—
593C23—81no—
594C23—81no—
595C23—84no—
596C23#120×C12711yescharacteristic
597C23#120×C12711yescharacteristic
598C23#137×C12712yes—
599C23C22×D4×C12711yescharacteristic
600Q8—42no—
601Q8—42no—
602Q8—42no—
603Q8—81no—
604D4—42no—
605D4—44no—
606D4—44no—
607D4—44no—
608D4—42no—
609D4—42no—
610D4—82no—
611D4—82no—
612D4—81no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—82no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—82no—
643C2×C4#120×C12712yes—
644C2×C4C22×D4×C12712yes—
645C8—42no—
646C8—42no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—41no—
664C22—42no—
665C22—41no—
666C22—42no—
667C22—41no—
668C22—81no—
669C22—81no—
670C22—84no—
671C22—84no—
672C22—162no—
673C22C2×#120×C12711yescharacteristic
674C22C2×#137×C12711yescharacteristic
675C22#575×C12711yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C2—21no—
688C2—21no—
689C2—41no—
690C2—41no—
691C2—42no—
692C2—81no—
693C2—82no—
694C2C127×#300711yescharacteristic
695C2C127×#301911yescharacteristic
696C2C127×#302611yescharacteristic
subgroupG/H
center, socleC22×C127C2×#120
commutator, Frattini, cosocleC22×C4C24×C127
prime radicalC127×#3490C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C127 ◁ C23×C4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C127×#3196C2semidirect
3. C127×#2626C2semidirect
4. C127×#1618C2semidirect
5. C127×#1614C2semidirect
6. C127×#1613C2semidirect
7. C127×#1606C2semidirect
8. C127×#1602C2semidirect
9. C127×#1601C2semidirect
10. C127×#1513C2semidirect
11. C127×#1462C2semidirect
22. C2×C22⋊Q8×C127C22semidirect
27. #484×C127C22semidirect
28. #481×C127C22semidirect
32. #451×C127C22semidirect
33. #448×C127C22semidirect
34. #407×C127C22semidirect
36. #399×C127C22semidirect
40. #393×C127C22semidirect
42. #380×C127C22semidirect
44. #328×C127C22semidirect
45. #328×C127C22semidirect
46. #327×C127C22semidirect
47. #327×C127C22semidirect
50. #323×C127C22semidirect
338. #18347C127direct (N × H)
350. #3196C2×C127semidirect
351. #2626C2×C127semidirect
352. #1618C2×C127semidirect
353. #1614C2×C127semidirect
354. #1613C2×C127semidirect
355. #1606C2×C127semidirect
356. #1602C2×C127semidirect
357. #1601C2×C127semidirect
358. #1513C2×C127semidirect
359. #1462C2×C127semidirect
360. C127#18347direct (N × H)
371. C2×C22⋊Q8C22×C127semidirect
376. #484C22×C127semidirect
377. #481C22×C127semidirect
381. #451C22×C127semidirect
382. #448C22×C127semidirect
383. #407C22×C127semidirect
385. #399C22×C127semidirect
389. #393C22×C127semidirect
391. #380C22×C127semidirect
393. #328C22×C127semidirect
394. #328C22×C127semidirect
395. #327C22×C127semidirect
396. #327C22×C127semidirect
399. #323C22×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#34902
C127×#31962
C127×#26262
C127×#16182
C127×#16142
C127×#16132
C127×#16062
C127×#16022
C127×#16012
C127×#15132
C127×#14622
#18347127