Finite Group Databasebeta

← C127×#21704 #44585377

Subgroups — C127×#21704 #44585377

Order 32512.

1174 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#496×C127C211yesmaximal, characteristic
2C2×#442×C127C211yesmaximal, characteristic, complemented
3C2×#440×C127C211yesmaximal, characteristic, complemented
4C2×C4×SD16×C127C211yesmaximal, characteristic, complemented
5C2×C4×D8×C127C211yesmaximal, characteristic, complemented
6C127×#2328C211yesmaximal, characteristic, complemented
7C127×#2326C211yesmaximal, characteristic, complemented
8C127×#1973C211yesmaximal, characteristic, complemented
9C127×#1972C211yesmaximal, characteristic, complemented
10C127×#1970C211yesmaximal, characteristic, complemented
11C127×#1968C211yesmaximal, characteristic, complemented
12C127×#1958C211yesmaximal, characteristic, complemented
13C127×#1957C211yesmaximal, characteristic, complemented
14C127×#1847C211yesmaximal, characteristic, complemented
15C127×#1726C211yesmaximal, characteristic, complemented
16C22×SD16×C127C2211yescharacteristic
17C22×SD16×C127C2211yescharacteristic
18C22×D8×C127C2211yescharacteristic
19C22×D8×C127C2211yescharacteristic
20C2×#127×C127C2211yescharacteristic
21C2×#124×C127C2211yescharacteristic
22C2×C4×Q8×C127C2211yescharacteristic
23C2×C4×D4×C127C2211yescharacteristic
24C2×C4×D4×C127C2211yescharacteristic
25C2×C4×D4×C127C2211yescharacteristic
26#496×C127C418yescomplemented
27#442×C127—24no—
28#440×C127—24no—
29C4×SD16×C127—24no—
30C4×D8×C127—24no—
31C2×#107×C127C2211yescharacteristic
32C2×#107×C127C2211yescharacteristic
33C2×#106×C127C2211yescharacteristic
34C2×#106×C127C2211yescharacteristic
35C2×#103×C127C2211yescharacteristic
36C2×#103×C127C2211yescharacteristic
37C2×#102×C127C2211yescharacteristic
38C2×#102×C127C2211yescharacteristic
39C2×#102×C127C2211yescharacteristic
40C2×#102×C127C2211yescharacteristic
41C2×#102×C127C2211yescharacteristic
42C2×#102×C127C2211yescharacteristic
43C2×#97×C127C2211yescharacteristic
44C2×#97×C127C2211yescharacteristic
45C2×#97×C127C2211yescharacteristic
46C2×C4×C8×C127C2211yescharacteristic
47C2×C4×C8×C127C2211yescharacteristic
48C2×C4×C8×C127C2211yescharacteristic
49#391×C127C2211yescharacteristic
50#390×C127C2211yescharacteristic
51#390×C127C2211yescharacteristic
52#390×C127C2211yescharacteristic
53#388×C127—22no—
54#386×C127—22no—
55#386×C127—22no—
56#385×C127—22no—
57#384×C127C2211yescharacteristic
58#382×C127C2211yescharacteristic
59#376×C127C2211yescharacteristic
60C22×Q8×C127C2311yescharacteristic
61C22×D4×C127—22no—
62C22×D4×C127C2311yescharacteristic
63C22×D4×C127C2311yescharacteristic
64C22×D4×C127C2311yescharacteristic
65C23×C4×C127—21no—
66C23×C4×C127—21no—
67C23×C4×C127—21no—
68C2×SD16×C127—22no—
69C2×SD16×C127—22no—
70C2×SD16×C127—22no—
71C2×SD16×C127—22no—
72C2×SD16×C127C2×C414yescomplemented
73C2×SD16×C127C2×C414yescomplemented
74C2×D8×C127—22no—
75C2×D8×C127—22no—
76C2×D8×C127—22no—
77C2×D8×C127—22no—
78C2×D8×C127C2×C414yescomplemented
79C2×D8×C127C2×C414yescomplemented
80C22×C8×C127C2311yescharacteristic
81C22×C8×C127C2311yescharacteristic
82C22×C8×C127C2311yescharacteristic
83C22×C8×C127C2311yescharacteristic
84#127×C127—22no—
85#127×C127C2×C414yescomplemented
86#124×C127—22no—
87#124×C127C2×C414yescomplemented
88C4×Q8×C127—22no—
89C4×Q8×C127—22no—
90C4×D4×C127—22no—
91C4×D4×C127—22no—
92C4×D4×C127—22no—
93C4×D4×C127—22no—
94C4×D4×C127—22no—
95C4×D4×C127—22no—
96C2×C4⋊C4×C127—21no—
97C2×C4⋊C4×C127—22no—
98C2×C4⋊C4×C127C2311yescharacteristic
99C2×C4⋊C4×C127C2311yescharacteristic
100C2×C4⋊C4×C127C2311yescharacteristic
101C2×C4⋊C4×C127C2311yescharacteristic
102C2×C22⋊C4×C127—22no—
103C2×C22⋊C4×C127—21no—
104C2×C22⋊C4×C127—21no—
105C2×C22⋊C4×C127—21no—
106C2×C22⋊C4×C127—22no—
107C2×C22⋊C4×C127—22no—
108C2×C22⋊C4×C127—22no—
109C2×C42×C127—21no—
110C2×C42×C127C2311yescharacteristic
111C2×C42×C127C2311yescharacteristic
112C2×C42×C127C2311yescharacteristic
113#107×C127—22no—
114#107×C127—22no—
115#106×C127—22no—
116#106×C127—22no—
117#103×C127—22no—
118#103×C127—22no—
119#102×C127—22no—
120#102×C127—22no—
121#102×C127—22no—
122#102×C127—22no—
123#102×C127—22no—
124#102×C127—22no—
125#97×C127—22no—
126#97×C127C2×C414yescomplemented
127#97×C127D414yescomplemented
128C4×C8×C127—22no—
129C4×C8×C127—22no—
130C4×C8×C127D414yescomplemented
131#95×C127—22no—
132#95×C127—22no—
133#95×C127D412yes—
134#95×C127D412yes—
135C24×C127—21no—
136C24×C127—21no—
137C24×C127—21no—
138C2×Q8×C127—21no—
139C2×Q8×C127—21no—
140C2×Q8×C127—21no—
141C2×Q8×C127—21no—
142C2×Q8×C127—21no—
143C2×Q8×C127C22×C412yes—
144C2×D4×C127—28no—
145C2×D4×C127—21no—
146C2×D4×C127—21no—
147C2×D4×C127—21no—
148C2×D4×C127—21no—
149C2×D4×C127—21no—
150C2×D4×C127—21no—
151C2×D4×C127—21no—
152C2×D4×C127—21no—
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—82no—
161C2×D4×C127—82no—
162C2×D4×C127C22×C412yes—
163C2×D4×C127C22×C412yes—
164C2×D4×C127C22×C412yes—
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—42no—
173C22×C4×C127—82no—
174C22×C4×C127—82no—
175C22×C4×C127—82no—
176C22×C4×C127C2×D412yes—
177C22×C4×C127C2×D412yes—
178C22×C4×C127C2×D411yescharacteristic
179C22×C4×C127C2×D411yescharacteristic
180C22×C4×C127C2411yescharacteristic
181SD16×C127—28no—
182SD16×C127—28no—
183D8×C127—28no—
184D8×C127—28no—
185C2×C8×C127—21no—
186C2×C8×C127—21no—
187C2×C8×C127—21no—
188C2×C8×C127—21no—
189C2×C8×C127C22×C412yes—
190C2×C8×C127C22×C412yes—
191C2×C8×C127C2×D412yes—
192C2×C8×C127C2×D412yes—
193C2×C8×C127C2×D412yes—
194C2×C8×C127C2×D412yes—
195C2×C8×C127#4112yes—
196C2×C8×C127#4112yes—
197C4⋊C4×C127—21no—
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—42no—
206C4⋊C4×C127—82no—
207C22⋊C4×C127—28no—
208C22⋊C4×C127—42no—
209C22⋊C4×C127—42no—
210C22⋊C4×C127—42no—
211C22⋊C4×C127—82no—
212C22⋊C4×C127—82no—
213C22⋊C4×C127—82no—
214C42×C127—21no—
215C42×C127—21no—
216C42×C127—42no—
217C42×C127C22×C412yes—
218C42×C127C2×D412yes—
219C42×C127C2×D412yes—
220C42×C127#4112yes—
221C23×C127—22no—
222C23×C127—22no—
223C23×C127—22no—
224C23×C127—41no—
225C23×C127—41no—
226C23×C127—41no—
227C23×C127—41no—
228C23×C127—41no—
229C23×C127—41no—
230C23×C127—42no—
231C23×C127—42no—
232C23×C127—42no—
233C23×C127—42no—
234C23×C127—42no—
235C23×C127—42no—
236C23×C127C22×D411yescharacteristic
237Q8×C127—22no—
238Q8×C127—22no—
239Q8×C127—41no—
240Q8×C127—41no—
241D4×C127—22no—
242D4×C127—22no—
243D4×C127—22no—
244D4×C127—22no—
245D4×C127—22no—
246D4×C127—22no—
247D4×C127—41no—
248D4×C127—41no—
249D4×C127—41no—
250D4×C127—41no—
251D4×C127—41no—
252D4×C127—41no—
253D4×C127—88no—
254C2×C4×C127—22no—
255C2×C4×C127—22no—
256C2×C4×C127—22no—
257C2×C4×C127—22no—
258C2×C4×C127—22no—
259C2×C4×C127—22no—
260C2×C4×C127—22no—
261C2×C4×C127—22no—
262C2×C4×C127—41no—
263C2×C4×C127—41no—
264C2×C4×C127—41no—
265C2×C4×C127—41no—
266C2×C4×C127—41no—
267C2×C4×C127—41no—
268C2×C4×C127—42no—
269C2×C4×C127—42no—
270C2×C4×C127—42no—
271C2×C4×C127—42no—
272C2×C4×C127—84no—
273C2×C4×C127—84no—
274C2×C4×C127—84no—
275C2×C4×C127C4×D414yes—
276C2×C4×C127#12712yes—
277C2×C4×C127#12712yes—
278C2×C4×C127C23×C411yescharacteristic
279C2×C4×C127C22×D411yescharacteristic
280C2×C4×C127C22×D411yescharacteristic
281C2×C4×C127C2×#4111yescharacteristic
282C2×C4×C127C2×#4111yescharacteristic
283C2×C4×C127C2×#4111yescharacteristic
284C8×C127—22no—
285C8×C127—22no—
286C8×C127C4×D414yes—
287C8×C127C4×D414yes—
288C22×C127—42no—
289C22×C127—42no—
290C22×C127—42no—
291C22×C127—44no—
292C22×C127—44no—
293C22×C127—44no—
294C22×C127—81no—
295C22×C127—81no—
296C22×C127—81no—
297C22×C127—81no—
298C22×C127—81no—
299C22×C127—81no—
300C22×C127—82no—
301C22×C127—82no—
302C22×C127—82no—
303C22×C127C2×C4×D411yescharacteristic
304C22×C127C2×#12711yescharacteristic
305C22×C127#53211yescharacteristic
306C22×C127#57612yes—
307C22×C127#57712yes—
308C4×C127—22no—
309C4×C127—22no—
310C4×C127—24no—
311C4×C127—42no—
312C4×C127—42no—
313C4×C127—81no—
314C4×C127—81no—
315C4×C127—81no—
316C4×C127—81no—
317C4×C127C2×C4×D411yescharacteristic
318C4×C127C2×C4×D411yescharacteristic
319C4×C127#53211yescharacteristic
320C4×C127#53211yescharacteristic
321#21704C12711yesmaximal, characteristic, direct product factor, Sylow
322C2×C127—82no—
323C2×C127—82no—
324C2×C127—82no—
325C2×C127C4×#12711yescharacteristic
326C2×C127#294612yes—
327C2×C127#315411yescharacteristic
328C2×C127#315511yescharacteristic
329C2×C127#317912yes—
330C2×#496C2×C12711yescharacteristic
331C2×#442C2×C12711yescharacteristic, complemented
332C2×#440C2×C12711yescharacteristic, complemented
333C2×C4×SD16C2×C12711yescharacteristic, complemented
334C2×C4×D8C2×C12711yescharacteristic, complemented
335#2328C2×C12711yescharacteristic, complemented
336#2326C2×C12711yescharacteristic, complemented
337#1973C2×C12711yescharacteristic, complemented
338#1972C2×C12711yescharacteristic, complemented
339#1970C2×C12711yescharacteristic, complemented
340#1968C2×C12711yescharacteristic, complemented
341#1958C2×C12711yescharacteristic, complemented
342#1957C2×C12711yescharacteristic, complemented
343#1847C2×C12711yescharacteristic, complemented
344#1726C2×C12711yescharacteristic, complemented
345C127#2170411yescharacteristic, direct product factor, Sylow
346C22×SD16C22×C12711yescharacteristic
347C22×SD16C22×C12711yescharacteristic
348C22×D8C22×C12711yescharacteristic
349C22×D8C22×C12711yescharacteristic
350C2×#127C22×C12711yescharacteristic
351C2×#124C22×C12711yescharacteristic
352C2×C4×Q8C22×C12711yescharacteristic
353C2×C4×D4C22×C12711yescharacteristic
354C2×C4×D4C22×C12711yescharacteristic
355C2×C4×D4C22×C12711yescharacteristic
356#496C4×C12718yescomplemented
357#442—24no—
358#440—24no—
359C4×SD16—24no—
360C4×D8—24no—
361C2×#107C22×C12711yescharacteristic
362C2×#107C22×C12711yescharacteristic
363C2×#106C22×C12711yescharacteristic
364C2×#106C22×C12711yescharacteristic
365C2×#103C22×C12711yescharacteristic
366C2×#103C22×C12711yescharacteristic
367C2×#102C22×C12711yescharacteristic
368C2×#102C22×C12711yescharacteristic
369C2×#102C22×C12711yescharacteristic
370C2×#102C22×C12711yescharacteristic
371C2×#102C22×C12711yescharacteristic
372C2×#102C22×C12711yescharacteristic
373C2×#97C22×C12711yescharacteristic
374C2×#97C22×C12711yescharacteristic
375C2×#97C22×C12711yescharacteristic
376C2×C4×C8C22×C12711yescharacteristic
377C2×C4×C8C22×C12711yescharacteristic
378C2×C4×C8C22×C12711yescharacteristic
379#391C22×C12711yescharacteristic
380#390C22×C12711yescharacteristic
381#390C22×C12711yescharacteristic
382#390C22×C12711yescharacteristic
383#388—22no—
384#386—22no—
385#386—22no—
386#385—22no—
387#384C22×C12711yescharacteristic
388#382C22×C12711yescharacteristic
389#376C22×C12711yescharacteristic
390C22×Q8C23×C12711yescharacteristic
391C22×D4—22no—
392C22×D4C23×C12711yescharacteristic
393C22×D4C23×C12711yescharacteristic
394C22×D4C23×C12711yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C2×SD16—22no—
399C2×SD16—22no—
400C2×SD16—22no—
401C2×SD16—22no—
402C2×SD16C2×C4×C12714yescomplemented
403C2×SD16C2×C4×C12714yescomplemented
404C2×D8—22no—
405C2×D8—22no—
406C2×D8—22no—
407C2×D8—22no—
408C2×D8C2×C4×C12714yescomplemented
409C2×D8C2×C4×C12714yescomplemented
410C22×C8C23×C12711yescharacteristic
411C22×C8C23×C12711yescharacteristic
412C22×C8C23×C12711yescharacteristic
413C22×C8C23×C12711yescharacteristic
414#127—22no—
415#127C2×C4×C12714yescomplemented
416#124—22no—
417#124C2×C4×C12714yescomplemented
418C4×Q8—22no—
419C4×Q8—22no—
420C4×D4—22no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4—22no—
424C4×D4—22no—
425C4×D4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4C23×C12711yescharacteristic
429C2×C4⋊C4C23×C12711yescharacteristic
430C2×C4⋊C4C23×C12711yescharacteristic
431C2×C4⋊C4C23×C12711yescharacteristic
432C2×C22⋊C4—22no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—22no—
439C2×C42—21no—
440C2×C42C23×C12711yescharacteristic
441C2×C42C23×C12711yescharacteristic
442C2×C42C23×C12711yescharacteristic
443#107—22no—
444#107—22no—
445#106—22no—
446#106—22no—
447#103—22no—
448#103—22no—
449#102—22no—
450#102—22no—
451#102—22no—
452#102—22no—
453#102—22no—
454#102—22no—
455#97—22no—
456#97C2×C4×C12714yescomplemented
457#97D4×C12714yescomplemented
458C4×C8—22no—
459C4×C8—22no—
460C4×C8D4×C12714yescomplemented
461#95—22no—
462#95—22no—
463#95D4×C12712yes—
464#95D4×C12712yes—
465C24—21no—
466C24—21no—
467C24—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8C22×C4×C12712yes—
474C2×D4—28no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4C22×C4×C12712yes—
493C2×D4C22×C4×C12712yes—
494C2×D4C22×C4×C12712yes—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4C2×D4×C12712yes—
507C22×C4C2×D4×C12712yes—
508C22×C4C2×D4×C12711yescharacteristic
509C22×C4C2×D4×C12711yescharacteristic
510C22×C4C24×C12711yescharacteristic
511SD16—28no—
512SD16—28no—
513D8—28no—
514D8—28no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8C22×C4×C12712yes—
520C2×C8C22×C4×C12712yes—
521C2×C8C2×D4×C12712yes—
522C2×C8C2×D4×C12712yes—
523C2×C8C2×D4×C12712yes—
524C2×C8C2×D4×C12712yes—
525C2×C8#41×C12712yes—
526C2×C8#41×C12712yes—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—42no—
536C4⋊C4—82no—
537C22⋊C4—28no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—82no—
542C22⋊C4—82no—
543C22⋊C4—82no—
544C42—21no—
545C42—21no—
546C42—42no—
547C42C22×C4×C12712yes—
548C42C2×D4×C12712yes—
549C42C2×D4×C12712yes—
550C42#41×C12712yes—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23C22×D4×C12711yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—22no—
574D4—22no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—88no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—84no—
603C2×C4—84no—
604C2×C4—84no—
605C2×C4C4×D4×C12714yes—
606C2×C4#127×C12712yes—
607C2×C4#127×C12712yes—
608C2×C4C23×C4×C12711yescharacteristic
609C2×C4C22×D4×C12711yescharacteristic
610C2×C4C22×D4×C12711yescharacteristic
611C2×C4C2×#41×C12711yescharacteristic
612C2×C4C2×#41×C12711yescharacteristic
613C2×C4C2×#41×C12711yescharacteristic
614C8—22no—
615C8—22no—
616C8C4×D4×C12714yes—
617C8C4×D4×C12714yes—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—82no—
631C22—82no—
632C22—82no—
633C22C2×C4×D4×C12711yescharacteristic
634C22C2×#127×C12711yescharacteristic
635C22#532×C12711yescharacteristic
636C22#576×C12712yes—
637C22#577×C12712yes—
638C4—22no—
639C4—22no—
640C4—24no—
641C4—42no—
642C4—42no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4C2×C4×D4×C12711yescharacteristic
648C4C2×C4×D4×C12711yescharacteristic
649C4#532×C12711yescharacteristic
650C4#532×C12711yescharacteristic
651C2—82no—
652C2—82no—
653C2—82no—
654C2C4×#127×C12711yescharacteristic
655C2C127×#294612yes—
656C2C127×#315411yescharacteristic
657C2C127×#315511yescharacteristic
658C2C127×#317912yes—
subgroupG/H
center, socleC23×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
prime radicalC2×#496×C127C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C127 ◁ #376×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#442×C127C2semidirect
3. C2×#440×C127C2semidirect
4. C2×C4×SD16×C127C2semidirect
5. C2×C4×D8×C127C2semidirect
6. C127×#2328C2semidirect
7. C127×#2326C2semidirect
8. C127×#1973C2semidirect
9. C127×#1972C2semidirect
10. C127×#1970C2semidirect
11. C127×#1968C2semidirect
12. C127×#1958C2semidirect
13. C127×#1957C2semidirect
14. C127×#1847C2semidirect
15. C127×#1726C2semidirect
26. #496×C127C4semidirect
72. C2×SD16×C127C2×C4semidirect
73. C2×SD16×C127C2×C4semidirect
78. C2×D8×C127C2×C4semidirect
79. C2×D8×C127C2×C4semidirect
85. #127×C127C2×C4semidirect
87. #124×C127C2×C4semidirect
126. #97×C127C2×C4semidirect
127. #97×C127D4semidirect
130. C4×C8×C127D4semidirect
321. #21704C127direct (N × H)
331. C2×#442C2×C127semidirect
332. C2×#440C2×C127semidirect
333. C2×C4×SD16C2×C127semidirect
334. C2×C4×D8C2×C127semidirect
335. #2328C2×C127semidirect
336. #2326C2×C127semidirect
337. #1973C2×C127semidirect
338. #1972C2×C127semidirect
339. #1970C2×C127semidirect
340. #1968C2×C127semidirect
341. #1958C2×C127semidirect
342. #1957C2×C127semidirect
343. #1847C2×C127semidirect
344. #1726C2×C127semidirect
345. C127#21704direct (N × H)
356. #496C4×C127semidirect
402. C2×SD16C2×C4×C127semidirect
403. C2×SD16C2×C4×C127semidirect
408. C2×D8C2×C4×C127semidirect
409. C2×D8C2×C4×C127semidirect
415. #127C2×C4×C127semidirect
417. #124C2×C4×C127semidirect
456. #97C2×C4×C127semidirect
457. #97D4×C127semidirect
460. C4×C8D4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#496×C1272
C2×#442×C1272
C2×#440×C1272
C2×C4×SD16×C1272
C2×C4×D8×C1272
C127×#23282
C127×#23262
C127×#19732
C127×#19722
C127×#19702
C127×#19682
C127×#19582
C127×#19572
C127×#18472
C127×#17262
#21704127