Finite Group Databasebeta

← C127×#17454 #44581127

Subgroups — C127×#17454 #44581127

Order 32512.

1138 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×2−1+4×C127C211yesmaximal, characteristic
2C127×#2989C211yesmaximal, characteristic, complemented
3C127×#2965C211yesmaximal, characteristic, complemented
4C127×#1491C212yesmaximal, complemented
5C127×#1489C212yesmaximal, complemented
6C127×#1488C212yesmaximal, complemented
7C127×#1487C212yesmaximal, complemented
8C127×#1479C211yesmaximal, characteristic, complemented
9C127×#1477C211yesmaximal, characteristic, complemented
10C127×#1476C211yesmaximal, characteristic, complemented
11C2×Q8⋊C8×C127C211yesmaximal, characteristic, complemented
12C2×2−1+4×C127C411yescharacteristic
13#520×C127—22no—
14#520×C127—21no—
15#520×C127C412yes—
16#520×C127C411yescharacteristic
17#520×C127C411yescharacteristic
18#519×C127—21no—
19#519×C127C412yes—
20#519×C127C411yescharacteristic
21C4×#41×C127—22no—
22C4×#41×C127—21no—
23C4×#41×C127C2211yescharacteristic
24C4×#41×C127C2212yes—
25C4×#41×C127C2211yescharacteristic
26C2×C4×Q8×C127—21no—
27C2×C4×Q8×C127C2211yescharacteristic
28C2×C4×Q8×C127C2212yes—
29#446×C127—21no—
30#446×C127—21no—
31#436×C127—21no—
32#436×C127—21no—
33#435×C127—22no—
34#435×C127—22no—
35#432×C127C2212yes—
36#431×C127C2211yescharacteristic
37#431×C127C2211yescharacteristic
38#431×C127C2212yes—
39#423×C127C2212yes—
40C2×C4⋊C8×C127C2211yescharacteristic
41C4×M16×C127C2212yes—
42C2×C4×C8×C127C2211yescharacteristic
43Q8⋊C8×C127C2212yes—
44Q8⋊C8×C127C2212yes—
45Q8⋊C8×C127C2211yescharacteristic
46Q8⋊C8×C127C2211yescharacteristic
47Q8⋊C8×C127C2212yes—
48Q8⋊C8×C127C2212yes—
49Q8⋊C8×C127C2212yes—
50D4⋊C8×C127C2211yescharacteristic
51D4⋊C8×C127C2211yescharacteristic
52D4⋊C8×C127C2212yes—
532−1+4×C127—24no—
542−1+4×C127—24no—
55C2×#41×C127—21no—
56C2×#41×C127—22no—
57C2×#41×C127C2×C412yes—
58C2×#41×C127C2×C411yescharacteristic
59C2×#41×C127C2×C411yescharacteristic
60C22×Q8×C127—21no—
61C22×Q8×C127C2×C412yes—
62C22×Q8×C127C2×C411yescharacteristic
63C2×M16×C127—22no—
64C2×M16×C127—22no—
65C22×C8×C127—21no—
66C22×C8×C127—21no—
67C4×Q8×C127—21no—
68C4×Q8×C127—22no—
69C4×Q8×C127—21no—
70C4×Q8×C127—22no—
71C4×Q8×C127—21no—
72C4×Q8×C127—21no—
73C4×Q8×C127—22no—
74C4×Q8×C127—21no—
75C4×Q8×C127—22no—
76C4×Q8×C127C2×C412yes—
77C4×Q8×C127C2×C412yes—
78C4×Q8×C127C2×C412yes—
79C4×Q8×C127C2×C411yescharacteristic
80C4×Q8×C127C2×C412yes—
81C4×Q8×C127D411yescharacteristic
82C4×Q8×C127D411yescharacteristic
83C4×Q8×C127C2312yes—
84C4×Q8×C127C2311yescharacteristic
85C4×D4×C127—22no—
86C4×D4×C127—21no—
87C4×D4×C127—21no—
88C4×D4×C127—22no—
89C4×D4×C127—21no—
90C4×D4×C127—22no—
91C4×D4×C127—22no—
92C4×D4×C127—22no—
93C4×D4×C127—22no—
94C4×D4×C127C2×C411yescharacteristic
95C4×D4×C127C2×C412yes—
96C4×D4×C127D412yes—
97C4×D4×C127D411yescharacteristic
98C4×D4×C127D412yes—
99C4×D4×C127D411yescharacteristic
100C4×D4×C127C2311yescharacteristic
101#117×C127—22no—
102#117×C127—21no—
103#117×C127—22no—
104#117×C127—22no—
105#117×C127—22no—
106#117×C127—21no—
107#117×C127—22no—
108#117×C127C2×C412yes—
109#117×C127C2×C411yescharacteristic
110#117×C127C2×C412yes—
111#117×C127C2×C411yescharacteristic
112C2×C4⋊C4×C127—21no—
113C2×C4⋊C4×C127—22no—
114C2×C4⋊C4×C127—22no—
115C2×C4⋊C4×C127—21no—
116C2×C4⋊C4×C127C2×C412yes—
117C2×C4⋊C4×C127C2×C411yescharacteristic
118C2×C42×C127—21no—
119C2×C42×C127—22no—
120C2×C42×C127—21no—
121C2×C42×C127—22no—
122C2×C42×C127C2311yescharacteristic
123C2×C42×C127C2312yes—
124C4⋊C8×C127—21no—
125C4⋊C8×C127—22no—
126C4⋊C8×C127—22no—
127C4⋊C8×C127—21no—
128C4⋊C8×C127C2312yes—
129C4⋊C8×C127C2311yescharacteristic
130C4⋊C8×C127C2311yescharacteristic
131C22⋊C8×C127—21no—
132C22⋊C8×C127—21no—
133C22⋊C8×C127—22no—
134C22⋊C8×C127—22no—
135#97×C127—22no—
136#97×C127—22no—
137C4×C8×C127—21no—
138C4×C8×C127—21no—
139C4×C8×C127C2311yescharacteristic
140C4×C8×C127C2311yescharacteristic
141C4×C8×C127C2312yes—
142#41×C127—216no—
143#41×C127—28no—
144#41×C127—24no—
145#41×C127—24no—
146#41×C127—22no—
147#41×C127—22no—
148#41×C127—22no—
149#41×C127M1614yescomplemented
150C2×Q8×C127—28no—
151C2×Q8×C127—24no—
152C2×Q8×C127—24no—
153C2×Q8×C127—22no—
154C2×Q8×C127—21no—
155C2×Q8×C127—22no—
156C2×Q8×C127C22⋊C411yescharacteristic
157C2×Q8×C127M1614yescomplemented
158C2×Q8×C127C22×C411yescharacteristic
159C2×Q8×C127C22×C412yes—
160C2×D4×C127—22no—
161C2×D4×C127—21no—
162C2×D4×C127C22⋊C412yes—
163C2×D4×C127C22⋊C411yescharacteristic
164C2×D4×C127C22×C411yescharacteristic
165C22×C4×C127—22no—
166C22×C4×C127—21no—
167C22×C4×C127—22no—
168C22×C4×C127—21no—
169C22×C4×C127—22no—
170C22×C4×C127—21no—
171C22×C4×C127—21no—
172C22×C4×C127—21no—
173C22×C4×C127—22no—
174C22×C4×C127C22×C412yes—
175C22×C4×C127C22×C411yescharacteristic
176C22×C4×C127C2×D411yescharacteristic
177C22×C4×C127C2×D412yes—
178C22×C4×C127C2×D411yescharacteristic
179C22×C4×C127C2×D412yes—
180M16×C127—44no—
181M16×C127—82no—
182C2×C8×C127—21no—
183C2×C8×C127—21no—
184C2×C8×C127—22no—
185C2×C8×C127—21no—
186C2×C8×C127—21no—
187C2×C8×C127—22no—
188C2×C8×C127—42no—
189C2×C8×C127—81no—
190C4⋊C4×C127—22no—
191C4⋊C4×C127—22no—
192C4⋊C4×C127—22no—
193C4⋊C4×C127—22no—
194C4⋊C4×C127—21no—
195C4⋊C4×C127—21no—
196C4⋊C4×C127—22no—
197C4⋊C4×C127—22no—
198C4⋊C4×C127—21no—
199C4⋊C4×C127C22⋊C412yes—
200C4⋊C4×C127C22⋊C411yescharacteristic
201C4⋊C4×C127C22⋊C412yes—
202C4⋊C4×C127C22⋊C411yescharacteristic
203C4⋊C4×C127C22×C411yescharacteristic
204C4⋊C4×C127C22×C412yes—
205C4⋊C4×C127C22×C411yescharacteristic
206C22⋊C4×C127—22no—
207C22⋊C4×C127—21no—
208C22⋊C4×C127—21no—
209C22⋊C4×C127—22no—
210C22⋊C4×C127—21no—
211C22⋊C4×C127C22⋊C412yes—
212C22⋊C4×C127C22⋊C412yes—
213C22⋊C4×C127C22⋊C412yes—
214C42×C127—21no—
215C42×C127—22no—
216C42×C127—22no—
217C42×C127—22no—
218C42×C127—22no—
219C42×C127—22no—
220C42×C127—21no—
221C42×C127—22no—
222C42×C127—21no—
223C42×C127C22×C411yescharacteristic
224C42×C127C22×C412yes—
225C42×C127C2×D411yescharacteristic
226C42×C127C2×D412yes—
227C42×C127C2×D411yescharacteristic
228C42×C127C2×D412yes—
229C42×C127C2411yescharacteristic
230C23×C127—21no—
231C23×C127C2×C22⋊C412yes—
232C23×C127C2×C22⋊C411yescharacteristic
233Q8×C127—28no—
234Q8×C127—21no—
235Q8×C127—22no—
236Q8×C127—22no—
237Q8×C127—24no—
238Q8×C127C2×M1612yes—
239Q8×C127C2×M1614yes—
240D4×C127—28no—
241D4×C127—24no—
242D4×C127—24no—
243D4×C127—21no—
244D4×C127—22no—
245D4×C127C2×M1612yes—
246C2×C4×C127—28no—
247C2×C4×C127—28no—
248C2×C4×C127—22no—
249C2×C4×C127—21no—
250C2×C4×C127—24no—
251C2×C4×C127—22no—
252C2×C4×C127—22no—
253C2×C4×C127—21no—
254C2×C4×C127—22no—
255C2×C4×C127—21no—
256C2×C4×C127—22no—
257C2×C4×C127—24no—
258C2×C4×C127—21no—
259C2×C4×C127—22no—
260C2×C4×C127—21no—
261C2×C4×C127—41no—
262C2×C4×C127—42no—
263C2×C4×C127—41no—
264C2×C4×C127—41no—
265C2×C4×C127—81no—
266C2×C4×C127—82no—
267C2×C4×C127—81no—
268C2×C4×C127—82no—
269C2×C4×C127C2×C22⋊C411yescharacteristic
270C2×C4×C127C2×C22⋊C412yes—
271C2×C4×C127C2×C22⋊C411yescharacteristic
272C2×C4×C127C2×C22⋊C412yes—
273C2×C4×C127C2×C22⋊C412yes—
274C2×C4×C127C2×C22⋊C411yescharacteristic
275C2×C4×C127C2×M1612yes—
276C2×C4×C127C2×M1612yes—
277C2×C4×C127C23×C411yescharacteristic
278C2×C4×C127C22×D411yescharacteristic
279C2×C4×C127C22×D411yescharacteristic
280C8×C127—22no—
281C8×C127—41no—
282C8×C127—42no—
283C8×C127—42no—
284C8×C127—41no—
285C8×C127—41no—
286C22×C127—21no—
287C22×C127—21no—
288C22×C127—22no—
289C22×C127—22no—
290C22×C127—22no—
291C22×C127—22no—
292C22×C127—41no—
293C22×C127—41no—
294C22×C127#40712yes—
295C22×C127C22×C22⋊C411yescharacteristic
296C4×C127—24no—
297C4×C127—22no—
298C4×C127—22no—
299C4×C127—21no—
300C4×C127—22no—
301C4×C127—21no—
302C4×C127—21no—
303C4×C127—22no—
304C4×C127—41no—
305C4×C127—42no—
306C4×C127—41no—
307C4×C127#40712yes—
308C4×C127C22×M1611yescharacteristic
309C4×C127C22×M1611yescharacteristic
310C4×C127#57711yescharacteristic
311C4×C127#57811yescharacteristic
312#17454C12711yesmaximal, characteristic, direct product factor, Sylow
313C2×C127—22no—
314C2×C127—42no—
315C2×C127—42no—
316C2×C127C2×#40711yescharacteristic
317C2×C127#289811yescharacteristic
318C2×C127#290111yescharacteristic
319C4×2−1+4C2×C12711yescharacteristic
320#2989C2×C12711yescharacteristic, complemented
321#2965C2×C12711yescharacteristic, complemented
322#1491C2×C12712yescomplemented
323#1489C2×C12712yescomplemented
324#1488C2×C12712yescomplemented
325#1487C2×C12712yescomplemented
326#1479C2×C12711yescharacteristic, complemented
327#1477C2×C12711yescharacteristic, complemented
328#1476C2×C12711yescharacteristic, complemented
329C2×Q8⋊C8C2×C12711yescharacteristic, complemented
330C127#1745411yescharacteristic, direct product factor, Sylow
331C2×2−1+4C4×C12711yescharacteristic
332#520—22no—
333#520—21no—
334#520C4×C12712yes—
335#520C4×C12711yescharacteristic
336#520C4×C12711yescharacteristic
337#519—21no—
338#519C4×C12712yes—
339#519C4×C12711yescharacteristic
340C4×#41—22no—
341C4×#41—21no—
342C4×#41C22×C12711yescharacteristic
343C4×#41C22×C12712yes—
344C4×#41C22×C12711yescharacteristic
345C2×C4×Q8—21no—
346C2×C4×Q8C22×C12711yescharacteristic
347C2×C4×Q8C22×C12712yes—
348#446—21no—
349#446—21no—
350#436—21no—
351#436—21no—
352#435—22no—
353#435—22no—
354#432C22×C12712yes—
355#431C22×C12711yescharacteristic
356#431C22×C12711yescharacteristic
357#431C22×C12712yes—
358#423C22×C12712yes—
359C2×C4⋊C8C22×C12711yescharacteristic
360C4×M16C22×C12712yes—
361C2×C4×C8C22×C12711yescharacteristic
362Q8⋊C8C22×C12712yes—
363Q8⋊C8C22×C12712yes—
364Q8⋊C8C22×C12711yescharacteristic
365Q8⋊C8C22×C12711yescharacteristic
366Q8⋊C8C22×C12712yes—
367Q8⋊C8C22×C12712yes—
368Q8⋊C8C22×C12712yes—
369D4⋊C8C22×C12711yescharacteristic
370D4⋊C8C22×C12711yescharacteristic
371D4⋊C8C22×C12712yes—
3722−1+4—24no—
3732−1+4—24no—
374C2×#41—21no—
375C2×#41—22no—
376C2×#41C2×C4×C12712yes—
377C2×#41C2×C4×C12711yescharacteristic
378C2×#41C2×C4×C12711yescharacteristic
379C22×Q8—21no—
380C22×Q8C2×C4×C12712yes—
381C22×Q8C2×C4×C12711yescharacteristic
382C2×M16—22no—
383C2×M16—22no—
384C22×C8—21no—
385C22×C8—21no—
386C4×Q8—21no—
387C4×Q8—22no—
388C4×Q8—21no—
389C4×Q8—22no—
390C4×Q8—21no—
391C4×Q8—21no—
392C4×Q8—22no—
393C4×Q8—21no—
394C4×Q8—22no—
395C4×Q8C2×C4×C12712yes—
396C4×Q8C2×C4×C12712yes—
397C4×Q8C2×C4×C12712yes—
398C4×Q8C2×C4×C12711yescharacteristic
399C4×Q8C2×C4×C12712yes—
400C4×Q8D4×C12711yescharacteristic
401C4×Q8D4×C12711yescharacteristic
402C4×Q8C23×C12712yes—
403C4×Q8C23×C12711yescharacteristic
404C4×D4—22no—
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—22no—
408C4×D4—21no—
409C4×D4—22no—
410C4×D4—22no—
411C4×D4—22no—
412C4×D4—22no—
413C4×D4C2×C4×C12711yescharacteristic
414C4×D4C2×C4×C12712yes—
415C4×D4D4×C12712yes—
416C4×D4D4×C12711yescharacteristic
417C4×D4D4×C12712yes—
418C4×D4D4×C12711yescharacteristic
419C4×D4C23×C12711yescharacteristic
420#117—22no—
421#117—21no—
422#117—22no—
423#117—22no—
424#117—22no—
425#117—21no—
426#117—22no—
427#117C2×C4×C12712yes—
428#117C2×C4×C12711yescharacteristic
429#117C2×C4×C12712yes—
430#117C2×C4×C12711yescharacteristic
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4C2×C4×C12712yes—
436C2×C4⋊C4C2×C4×C12711yescharacteristic
437C2×C42—21no—
438C2×C42—22no—
439C2×C42—21no—
440C2×C42—22no—
441C2×C42C23×C12711yescharacteristic
442C2×C42C23×C12712yes—
443C4⋊C8—21no—
444C4⋊C8—22no—
445C4⋊C8—22no—
446C4⋊C8—21no—
447C4⋊C8C23×C12712yes—
448C4⋊C8C23×C12711yescharacteristic
449C4⋊C8C23×C12711yescharacteristic
450C22⋊C8—21no—
451C22⋊C8—21no—
452C22⋊C8—22no—
453C22⋊C8—22no—
454#97—22no—
455#97—22no—
456C4×C8—21no—
457C4×C8—21no—
458C4×C8C23×C12711yescharacteristic
459C4×C8C23×C12711yescharacteristic
460C4×C8C23×C12712yes—
461#41—216no—
462#41—28no—
463#41—24no—
464#41—24no—
465#41—22no—
466#41—22no—
467#41—22no—
468#41M16×C12714yescomplemented
469C2×Q8—28no—
470C2×Q8—24no—
471C2×Q8—24no—
472C2×Q8—22no—
473C2×Q8—21no—
474C2×Q8—22no—
475C2×Q8C22⋊C4×C12711yescharacteristic
476C2×Q8M16×C12714yescomplemented
477C2×Q8C22×C4×C12711yescharacteristic
478C2×Q8C22×C4×C12712yes—
479C2×D4—22no—
480C2×D4—21no—
481C2×D4C22⋊C4×C12712yes—
482C2×D4C22⋊C4×C12711yescharacteristic
483C2×D4C22×C4×C12711yescharacteristic
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4C22×C4×C12712yes—
494C22×C4C22×C4×C12711yescharacteristic
495C22×C4C2×D4×C12711yescharacteristic
496C22×C4C2×D4×C12712yes—
497C22×C4C2×D4×C12711yescharacteristic
498C22×C4C2×D4×C12712yes—
499M16—44no—
500M16—82no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—42no—
508C2×C8—81no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—21no—
518C4⋊C4C22⋊C4×C12712yes—
519C4⋊C4C22⋊C4×C12711yescharacteristic
520C4⋊C4C22⋊C4×C12712yes—
521C4⋊C4C22⋊C4×C12711yescharacteristic
522C4⋊C4C22×C4×C12711yescharacteristic
523C4⋊C4C22×C4×C12712yes—
524C4⋊C4C22×C4×C12711yescharacteristic
525C22⋊C4—22no—
526C22⋊C4—21no—
527C22⋊C4—21no—
528C22⋊C4—22no—
529C22⋊C4—21no—
530C22⋊C4C22⋊C4×C12712yes—
531C22⋊C4C22⋊C4×C12712yes—
532C22⋊C4C22⋊C4×C12712yes—
533C42—21no—
534C42—22no—
535C42—22no—
536C42—22no—
537C42—22no—
538C42—22no—
539C42—21no—
540C42—22no—
541C42—21no—
542C42C22×C4×C12711yescharacteristic
543C42C22×C4×C12712yes—
544C42C2×D4×C12711yescharacteristic
545C42C2×D4×C12711yescharacteristic
546C42C2×D4×C12712yes—
547C42C2×D4×C12712yes—
548C42C24×C12711yescharacteristic
549C23—21no—
550C23C2×C22⋊C4×C12712yes—
551C23C2×C22⋊C4×C12711yescharacteristic
552Q8—28no—
553Q8—21no—
554Q8—22no—
555Q8—22no—
556Q8—24no—
557Q8C2×M16×C12712yes—
558Q8C2×M16×C12714yes—
559D4—28no—
560D4—24no—
561D4—24no—
562D4—21no—
563D4—22no—
564D4C2×M16×C12712yes—
565C2×C4—28no—
566C2×C4—28no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—24no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—42no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—81no—
585C2×C4—82no—
586C2×C4—81no—
587C2×C4—82no—
588C2×C4C2×C22⋊C4×C12711yescharacteristic
589C2×C4C2×C22⋊C4×C12712yes—
590C2×C4C2×C22⋊C4×C12711yescharacteristic
591C2×C4C2×C22⋊C4×C12712yes—
592C2×C4C2×C22⋊C4×C12712yes—
593C2×C4C2×C22⋊C4×C12711yescharacteristic
594C2×C4C2×M16×C12712yes—
595C2×C4C2×M16×C12712yes—
596C2×C4C23×C4×C12711yescharacteristic
597C2×C4C22×D4×C12711yescharacteristic
598C2×C4C22×D4×C12711yescharacteristic
599C8—22no—
600C8—41no—
601C8—42no—
602C8—42no—
603C8—41no—
604C8—41no—
605C22—21no—
606C22—21no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—41no—
612C22—41no—
613C22#407×C12712yes—
614C22C22×C22⋊C4×C12711yescharacteristic
615C4—24no—
616C4—22no—
617C4—22no—
618C4—21no—
619C4—22no—
620C4—21no—
621C4—21no—
622C4—22no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4#407×C12712yes—
627C4C22×M16×C12711yescharacteristic
628C4C22×M16×C12711yescharacteristic
629C4#577×C12711yescharacteristic
630C4#578×C12711yescharacteristic
631C2—22no—
632C2—42no—
633C2—42no—
634C2C2×#407×C12711yescharacteristic
635C2C127×#289811yescharacteristic
636C2C127×#290111yescharacteristic
subgroupG/H
centerC2×C4×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC42C24×C127
socleC22×C127C22×C22⋊C4
prime radicalC2×2−1+4×C127C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C127 ◁ C4×#41×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C127×#2989C2semidirect
3. C127×#2965C2semidirect
4. C127×#1491C2semidirect
5. C127×#1489C2semidirect
6. C127×#1488C2semidirect
7. C127×#1487C2semidirect
8. C127×#1479C2semidirect
9. C127×#1477C2semidirect
10. C127×#1476C2semidirect
11. C2×Q8⋊C8×C127C2semidirect
149. #41×C127M16semidirect
157. C2×Q8×C127M16semidirect
312. #17454C127direct (N × H)
320. #2989C2×C127semidirect
321. #2965C2×C127semidirect
322. #1491C2×C127semidirect
323. #1489C2×C127semidirect
324. #1488C2×C127semidirect
325. #1487C2×C127semidirect
326. #1479C2×C127semidirect
327. #1477C2×C127semidirect
328. #1476C2×C127semidirect
329. C2×Q8⋊C8C2×C127semidirect
330. C127#17454direct (N × H)
468. #41M16×C127semidirect
476. C2×Q8M16×C127semidirect

Maximal subgroups

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

subgroupindex
C4×2−1+4×C1272
C127×#29892
C127×#29652
C127×#14912
C127×#14892
C127×#14882
C127×#14872
C127×#14792
C127×#14772
C127×#14762
C2×Q8⋊C8×C1272
#17454127