Finite Group Databasebeta

← C127×#21586 #44585259

Subgroups — C127×#21586 #44585259

Order 32512.

900 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#480×C127C211yesmaximal, characteristic
2C127×#2324C211yesmaximal, characteristic
3C127×#2274C211yesmaximal, characteristic, complemented
4C127×#1926C211yesmaximal, characteristic, complemented
5C127×#1925C211yesmaximal, characteristic, complemented
6C127×#1921C211yesmaximal, characteristic, complemented
7C127×#1918C211yesmaximal, characteristic, complemented
8C127×#1875C211yesmaximal, characteristic
9C127×#1854C211yesmaximal, characteristic, complemented
10C127×#1824C211yesmaximal, characteristic, complemented
11C127×#1776C211yesmaximal, characteristic, complemented
12C4×#107×C127C211yesmaximal, characteristic, complemented
13C127×#1762C211yesmaximal, characteristic, complemented
14C4×#102×C127C211yesmaximal, characteristic, complemented
15C127×#1750C211yesmaximal, characteristic, complemented
16C2×#121×C127C2211yescharacteristic
17C2×C4×D4×C127C2211yescharacteristic
18C2×#117×C127C2211yescharacteristic
19C2×#117×C127C2211yescharacteristic
20C22×C4⋊C4×C127C2211yescharacteristic
21#480×C127C418yescomplemented
22C2×#107×C127C2211yescharacteristic
23C2×#107×C127C2211yescharacteristic
24C2×#107×C127C2211yescharacteristic
25C2×#106×C127C2211yescharacteristic
26C2×#102×C127C2211yescharacteristic
27C2×#102×C127C2211yescharacteristic
28C2×#102×C127C2211yescharacteristic
29C2×#102×C127C2211yescharacteristic
30C2×C22⋊C8×C127C2211yescharacteristic
31C2×C22⋊C8×C127C2211yescharacteristic
32C2×#97×C127C2211yescharacteristic
33C2×C4×C8×C127C2211yescharacteristic
34#390×C127—21no—
35#390×C127C2211yescharacteristic
36#389×C127C2211yescharacteristic
37#388×C127—21no—
38#386×C127—21no—
39#385×C127—21no—
40#380×C127C2211yescharacteristic
41C4×C4⋊C4×C127—21no—
42C4×C4⋊C4×C127—21no—
43C4×C4⋊C4×C127C2211yescharacteristic
44C4×C4⋊C4×C127C2211yescharacteristic
45C4×C4⋊C4×C127C2211yescharacteristic
46C4×C4⋊C4×C127C2211yescharacteristic
47C4×C4⋊C4×C127C2211yescharacteristic
48C4×C22⋊C4×C127—21no—
49C4×C22⋊C4×C127—21no—
50#340×C127C2211yescharacteristic
51#340×C127C2211yescharacteristic
52#340×C127C2211yescharacteristic
53#340×C127C2211yescharacteristic
54#340×C127C2211yescharacteristic
55#340×C127C2211yescharacteristic
56#340×C127C2211yescharacteristic
57#340×C127C2211yescharacteristic
58#336×C127C2211yescharacteristic
59#336×C127C2211yescharacteristic
60C22×D4×C127—21no—
61C22×D4×C127C2311yescharacteristic
62C23×C4×C127—21no—
63C23×C4×C127—21no—
64C23×C4×C127C2311yescharacteristic
65C22×C8×C127C2311yescharacteristic
66C22×C8×C127C2311yescharacteristic
67C22×C8×C127C2311yescharacteristic
68C22×C8×C127C2311yescharacteristic
69#121×C127—22no—
70#121×C127C2×C414yes—
71C4×D4×C127—22no—
72C4×D4×C127—22no—
73#117×C127—22no—
74#117×C127—22no—
75#117×C127—22no—
76#117×C127—22no—
77C2×C4⋊C4×C127—21no—
78C2×C4⋊C4×C127—22no—
79C2×C4⋊C4×C127—21no—
80C2×C4⋊C4×C127C2×C414yescomplemented
81C2×C4⋊C4×C127D411yescharacteristic
82C2×C4⋊C4×C127D411yescharacteristic
83C2×C4⋊C4×C127C2311yescharacteristic
84C2×C4⋊C4×C127C2311yescharacteristic
85C2×C4⋊C4×C127C2311yescharacteristic
86C2×C4⋊C4×C127C2311yescharacteristic
87C2×C4⋊C4×C127C2311yescharacteristic
88C2×C4⋊C4×C127C2311yescharacteristic
89C2×C4⋊C4×C127C2311yescharacteristic
90C2×C22⋊C4×C127—21no—
91C2×C22⋊C4×C127—21no—
92C2×C22⋊C4×C127—21no—
93C2×C22⋊C4×C127—21no—
94C2×C22⋊C4×C127—21no—
95C2×C22⋊C4×C127—21no—
96C2×C22⋊C4×C127D411yescharacteristic
97C2×C22⋊C4×C127D411yescharacteristic
98C2×C42×C127—21no—
99C2×C42×C127—21no—
100C2×C42×C127—21no—
101C2×C42×C127—21no—
102C2×C42×C127—21no—
103C2×C42×C127—21no—
104C2×C42×C127C2311yescharacteristic
105C2×C42×C127C2311yescharacteristic
106#107×C127—22no—
107#107×C127C2×C414yescomplemented
108#107×C127C2×C414yescomplemented
109#106×C127—22no—
110#102×C127—22no—
111#102×C127—22no—
112#102×C127C2×C414yes—
113#102×C127C2×C414yes—
114C22⋊C8×C127—22no—
115C22⋊C8×C127C2×C414yescomplemented
116#97×C127—22no—
117C4×C8×C127—22no—
118#95×C127—21no—
119#95×C127—21no—
120#95×C127—21no—
121#95×C127—21no—
122#95×C127—21no—
123#95×C127—21no—
124#95×C127—21no—
125C24×C127—21no—
126C24×C127C2×D411yescharacteristic
127C2×D4×C127—24no—
128C2×D4×C127—21no—
129C2×D4×C127—21no—
130C2×D4×C127—21no—
131C2×D4×C127—21no—
132C2×D4×C127—21no—
133C2×D4×C127—81no—
134C2×D4×C127—81no—
135C2×D4×C127C22×C412yes—
136C22×C4×C127—21no—
137C22×C4×C127—21no—
138C22×C4×C127—21no—
139C22×C4×C127—21no—
140C22×C4×C127—21no—
141C22×C4×C127—21no—
142C22×C4×C127—21no—
143C22×C4×C127—21no—
144C22×C4×C127—21no—
145C22×C4×C127—24no—
146C22×C4×C127—21no—
147C22×C4×C127—21no—
148C22×C4×C127—42no—
149C22×C4×C127—81no—
150C22×C4×C127—81no—
151C22×C4×C127—81no—
152C22×C4×C127—81no—
153C22×C4×C127C22×C412yes—
154C22×C4×C127C2×D411yescharacteristic
155C22×C4×C127C2×D411yescharacteristic
156C22×C4×C127C2×D411yescharacteristic
157C22×C4×C127C2×D411yescharacteristic
158C22×C4×C127C2×D411yescharacteristic
159C22×C4×C127#4112yes—
160C22×C4×C127C2411yescharacteristic
161C2×C8×C127—21no—
162C2×C8×C127—21no—
163C2×C8×C127—21no—
164C2×C8×C127—21no—
165C2×C8×C127—21no—
166C2×C8×C127—21no—
167C2×C8×C127—21no—
168C2×C8×C127—21no—
169C2×C8×C127—21no—
170C2×C8×C127—21no—
171C2×C8×C127C22×C412yes—
172C2×C8×C127C22×C412yes—
173C4⋊C4×C127—24no—
174C4⋊C4×C127—22no—
175C4⋊C4×C127—22no—
176C4⋊C4×C127—21no—
177C4⋊C4×C127—21no—
178C4⋊C4×C127—21no—
179C4⋊C4×C127—21no—
180C4⋊C4×C127—21no—
181C4⋊C4×C127—21no—
182C4⋊C4×C127—21no—
183C4⋊C4×C127—21no—
184C4⋊C4×C127—21no—
185C4⋊C4×C127—81no—
186C4⋊C4×C127C22×C412yes—
187C4⋊C4×C127C22×C412yes—
188C4⋊C4×C127C22×C412yes—
189C4⋊C4×C127#4112yes—
190C4⋊C4×C127#4112yes—
191C22⋊C4×C127—24no—
192C22⋊C4×C127—24no—
193C22⋊C4×C127—22no—
194C22⋊C4×C127—22no—
195C22⋊C4×C127—42no—
196C22⋊C4×C127—81no—
197C22⋊C4×C127—81no—
198C22⋊C4×C127—81no—
199C42×C127—24no—
200C42×C127—21no—
201C42×C127—21no—
202C42×C127—81no—
203C42×C127—81no—
204C42×C127—81no—
205C42×C127—81no—
206C42×C127—81no—
207C42×C127#4112yes—
208C42×C127#4112yes—
209C23×C127—21no—
210C23×C127—21no—
211C23×C127—21no—
212C23×C127—21no—
213C23×C127—21no—
214C23×C127—21no—
215C23×C127—22no—
216C23×C127—41no—
217C23×C127—41no—
218C23×C127—41no—
219C23×C127—41no—
220C23×C127—41no—
221C23×C127—41no—
222C23×C127C4×D412yes—
223C23×C127C22×D411yescharacteristic
224D4×C127—22no—
225D4×C127—22no—
226D4×C127—41no—
227D4×C127—41no—
228D4×C127—84no—
229C2×C4×C127—21no—
230C2×C4×C127—21no—
231C2×C4×C127—21no—
232C2×C4×C127—21no—
233C2×C4×C127—21no—
234C2×C4×C127—21no—
235C2×C4×C127—22no—
236C2×C4×C127—22no—
237C2×C4×C127—22no—
238C2×C4×C127—22no—
239C2×C4×C127—22no—
240C2×C4×C127—22no—
241C2×C4×C127—22no—
242C2×C4×C127—21no—
243C2×C4×C127—21no—
244C2×C4×C127—22no—
245C2×C4×C127—22no—
246C2×C4×C127—21no—
247C2×C4×C127—21no—
248C2×C4×C127—21no—
249C2×C4×C127—21no—
250C2×C4×C127—41no—
251C2×C4×C127—41no—
252C2×C4×C127—41no—
253C2×C4×C127—41no—
254C2×C4×C127—41no—
255C2×C4×C127—41no—
256C2×C4×C127—41no—
257C2×C4×C127—41no—
258C2×C4×C127—41no—
259C2×C4×C127—41no—
260C2×C4×C127—41no—
261C2×C4×C127—41no—
262C2×C4×C127—41no—
263C2×C4×C127—41no—
264C2×C4×C127—41no—
265C2×C4×C127—41no—
266C2×C4×C127—84no—
267C2×C4×C127—84no—
268C2×C4×C127C4×D412yes—
269C2×C4×C127#12312yes—
270C2×C4×C127#12312yes—
271C2×C4×C127C23×C411yescharacteristic
272C2×C4×C127C2×#4111yescharacteristic
273C2×C4×C127C2×#4111yescharacteristic
274C2×C4×C127C2×#4111yescharacteristic
275C2×C4×C127C2×#4111yescharacteristic
276C2×C4×C127C2×#4111yescharacteristic
277C8×C127—22no—
278C8×C127—22no—
279C8×C127—41no—
280C8×C127—41no—
281C22×C127—22no—
282C22×C127—22no—
283C22×C127—22no—
284C22×C127—41no—
285C22×C127—41no—
286C22×C127—41no—
287C22×C127—41no—
288C22×C127—42no—
289C22×C127—42no—
290C22×C127—42no—
291C22×C127—81no—
292C22×C127—81no—
293C22×C127—81no—
294C22×C127—81no—
295C22×C127C2×C4×D411yescharacteristic
296C22×C127C2×#12311yescharacteristic
297C22×C127#52511yescharacteristic
298C22×C127#57611yescharacteristic
299C22×C127#57611yescharacteristic
300C22×C127#57711yescharacteristic
301C22×C127#57811yescharacteristic
302C4×C127—22no—
303C4×C127—22no—
304C4×C127—22no—
305C4×C127—41no—
306C4×C127—41no—
307C4×C127—42no—
308C4×C127—42no—
309C4×C127—42no—
310C4×C127—42no—
311C4×C127—42no—
312C4×C127—81no—
313C4×C127—81no—
314C4×C127C4×#4111yescharacteristic
315C4×C127C4×#4111yescharacteristic
316C4×C127#52911yescharacteristic
317C4×C127#52911yescharacteristic
318#21586C12711yesmaximal, characteristic, direct product factor, Sylow
319C2×C127—42no—
320C2×C127—82no—
321C2×C127C4×#12311yescharacteristic
322C2×C127#294711yescharacteristic
323C2×C127#294811yescharacteristic
324C2×C127#309611yescharacteristic
325C2×C127#309811yescharacteristic
326C2×C127#311911yescharacteristic
327C2×C127#312411yescharacteristic
328C2×#480C2×C12711yescharacteristic
329#2324C2×C12711yescharacteristic
330#2274C2×C12711yescharacteristic, complemented
331#1926C2×C12711yescharacteristic, complemented
332#1925C2×C12711yescharacteristic, complemented
333#1921C2×C12711yescharacteristic, complemented
334#1918C2×C12711yescharacteristic, complemented
335#1875C2×C12711yescharacteristic
336#1854C2×C12711yescharacteristic, complemented
337#1824C2×C12711yescharacteristic, complemented
338#1776C2×C12711yescharacteristic, complemented
339C4×#107C2×C12711yescharacteristic, complemented
340#1762C2×C12711yescharacteristic, complemented
341C4×#102C2×C12711yescharacteristic, complemented
342#1750C2×C12711yescharacteristic, complemented
343C127#2158611yescharacteristic, direct product factor, Sylow
344C2×#121C22×C12711yescharacteristic
345C2×C4×D4C22×C12711yescharacteristic
346C2×#117C22×C12711yescharacteristic
347C2×#117C22×C12711yescharacteristic
348C22×C4⋊C4C22×C12711yescharacteristic
349#480C4×C12718yescomplemented
350C2×#107C22×C12711yescharacteristic
351C2×#107C22×C12711yescharacteristic
352C2×#107C22×C12711yescharacteristic
353C2×#106C22×C12711yescharacteristic
354C2×#102C22×C12711yescharacteristic
355C2×#102C22×C12711yescharacteristic
356C2×#102C22×C12711yescharacteristic
357C2×#102C22×C12711yescharacteristic
358C2×C22⋊C8C22×C12711yescharacteristic
359C2×C22⋊C8C22×C12711yescharacteristic
360C2×#97C22×C12711yescharacteristic
361C2×C4×C8C22×C12711yescharacteristic
362#390—21no—
363#390C22×C12711yescharacteristic
364#389C22×C12711yescharacteristic
365#388—21no—
366#386—21no—
367#385—21no—
368#380C22×C12711yescharacteristic
369C4×C4⋊C4—21no—
370C4×C4⋊C4—21no—
371C4×C4⋊C4C22×C12711yescharacteristic
372C4×C4⋊C4C22×C12711yescharacteristic
373C4×C4⋊C4C22×C12711yescharacteristic
374C4×C4⋊C4C22×C12711yescharacteristic
375C4×C4⋊C4C22×C12711yescharacteristic
376C4×C22⋊C4—21no—
377C4×C22⋊C4—21no—
378#340C22×C12711yescharacteristic
379#340C22×C12711yescharacteristic
380#340C22×C12711yescharacteristic
381#340C22×C12711yescharacteristic
382#340C22×C12711yescharacteristic
383#340C22×C12711yescharacteristic
384#340C22×C12711yescharacteristic
385#340C22×C12711yescharacteristic
386#336C22×C12711yescharacteristic
387#336C22×C12711yescharacteristic
388C22×D4—21no—
389C22×D4C23×C12711yescharacteristic
390C23×C4—21no—
391C23×C4—21no—
392C23×C4C23×C12711yescharacteristic
393C22×C8C23×C12711yescharacteristic
394C22×C8C23×C12711yescharacteristic
395C22×C8C23×C12711yescharacteristic
396C22×C8C23×C12711yescharacteristic
397#121—22no—
398#121C2×C4×C12714yes—
399C4×D4—22no—
400C4×D4—22no—
401#117—22no—
402#117—22no—
403#117—22no—
404#117—22no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4C2×C4×C12714yescomplemented
409C2×C4⋊C4D4×C12711yescharacteristic
410C2×C4⋊C4D4×C12711yescharacteristic
411C2×C4⋊C4C23×C12711yescharacteristic
412C2×C4⋊C4C23×C12711yescharacteristic
413C2×C4⋊C4C23×C12711yescharacteristic
414C2×C4⋊C4C23×C12711yescharacteristic
415C2×C4⋊C4C23×C12711yescharacteristic
416C2×C4⋊C4C23×C12711yescharacteristic
417C2×C4⋊C4C23×C12711yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4D4×C12711yescharacteristic
425C2×C22⋊C4D4×C12711yescharacteristic
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C12711yescharacteristic
433C2×C42C23×C12711yescharacteristic
434#107—22no—
435#107C2×C4×C12714yescomplemented
436#107C2×C4×C12714yescomplemented
437#106—22no—
438#102—22no—
439#102—22no—
440#102C2×C4×C12714yes—
441#102C2×C4×C12714yes—
442C22⋊C8—22no—
443C22⋊C8C2×C4×C12714yescomplemented
444#97—22no—
445C4×C8—22no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453C24—21no—
454C24C2×D4×C12711yescharacteristic
455C2×D4—24no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—81no—
462C2×D4—81no—
463C2×D4C22×C4×C12712yes—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4C22×C4×C12712yes—
482C22×C4C2×D4×C12711yescharacteristic
483C22×C4C2×D4×C12711yescharacteristic
484C22×C4C2×D4×C12711yescharacteristic
485C22×C4C2×D4×C12711yescharacteristic
486C22×C4C2×D4×C12711yescharacteristic
487C22×C4#41×C12712yes—
488C22×C4C24×C12711yescharacteristic
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8C22×C4×C12712yes—
500C2×C8C22×C4×C12712yes—
501C4⋊C4—24no—
502C4⋊C4—22no—
503C4⋊C4—22no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—81no—
514C4⋊C4C22×C4×C12712yes—
515C4⋊C4C22×C4×C12712yes—
516C4⋊C4C22×C4×C12712yes—
517C4⋊C4#41×C12712yes—
518C4⋊C4#41×C12712yes—
519C22⋊C4—24no—
520C22⋊C4—24no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—42no—
524C22⋊C4—81no—
525C22⋊C4—81no—
526C22⋊C4—81no—
527C42—24no—
528C42—21no—
529C42—21no—
530C42—81no—
531C42—81no—
532C42—81no—
533C42—81no—
534C42—81no—
535C42#41×C12712yes—
536C42#41×C12712yes—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—22no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23C4×D4×C12712yes—
551C23C22×D4×C12711yescharacteristic
552D4—22no—
553D4—22no—
554D4—41no—
555D4—41no—
556D4—84no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—84no—
595C2×C4—84no—
596C2×C4C4×D4×C12712yes—
597C2×C4#123×C12712yes—
598C2×C4#123×C12712yes—
599C2×C4C23×C4×C12711yescharacteristic
600C2×C4C2×#41×C12711yescharacteristic
601C2×C4C2×#41×C12711yescharacteristic
602C2×C4C2×#41×C12711yescharacteristic
603C2×C4C2×#41×C12711yescharacteristic
604C2×C4C2×#41×C12711yescharacteristic
605C8—22no—
606C8—22no—
607C8—41no—
608C8—41no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22C2×C4×D4×C12711yescharacteristic
624C22C2×#123×C12711yescharacteristic
625C22#525×C12711yescharacteristic
626C22#576×C12711yescharacteristic
627C22#576×C12711yescharacteristic
628C22#577×C12711yescharacteristic
629C22#578×C12711yescharacteristic
630C4—22no—
631C4—22no—
632C4—22no—
633C4—41no—
634C4—41no—
635C4—42no—
636C4—42no—
637C4—42no—
638C4—42no—
639C4—42no—
640C4—81no—
641C4—81no—
642C4C4×#41×C12711yescharacteristic
643C4C4×#41×C12711yescharacteristic
644C4#529×C12711yescharacteristic
645C4#529×C12711yescharacteristic
646C2—42no—
647C2—82no—
648C2C4×#123×C12711yescharacteristic
649C2C127×#294711yescharacteristic
650C2C127×#294811yescharacteristic
651C2C127×#309611yescharacteristic
652C2C127×#309811yescharacteristic
653C2C127×#311911yescharacteristic
654C2C127×#312411yescharacteristic
subgroupG/H
center, socleC23×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
prime radicalC2×#121×C127C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C127 ◁ C2×#117×C127 ◁ G

Complements

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

NH ≅ G/Ntype
3. C127×#2274C2semidirect
4. C127×#1926C2semidirect
5. C127×#1925C2semidirect
6. C127×#1921C2semidirect
7. C127×#1918C2semidirect
9. C127×#1854C2semidirect
10. C127×#1824C2semidirect
11. C127×#1776C2semidirect
12. C4×#107×C127C2semidirect
13. C127×#1762C2semidirect
14. C4×#102×C127C2semidirect
15. C127×#1750C2semidirect
21. #480×C127C4semidirect
80. C2×C4⋊C4×C127C2×C4semidirect
107. #107×C127C2×C4semidirect
108. #107×C127C2×C4semidirect
115. C22⋊C8×C127C2×C4semidirect
318. #21586C127direct (N × H)
330. #2274C2×C127semidirect
331. #1926C2×C127semidirect
332. #1925C2×C127semidirect
333. #1921C2×C127semidirect
334. #1918C2×C127semidirect
336. #1854C2×C127semidirect
337. #1824C2×C127semidirect
338. #1776C2×C127semidirect
339. C4×#107C2×C127semidirect
340. #1762C2×C127semidirect
341. C4×#102C2×C127semidirect
342. #1750C2×C127semidirect
343. C127#21586direct (N × H)
349. #480C4×C127semidirect
408. C2×C4⋊C4C2×C4×C127semidirect
435. #107C2×C4×C127semidirect
436. #107C2×C4×C127semidirect
443. C22⋊C8C2×C4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#480×C1272
C127×#23242
C127×#22742
C127×#19262
C127×#19252
C127×#19212
C127×#19182
C127×#18752
C127×#18542
C127×#18242
C127×#17762
C4×#107×C1272
C127×#17622
C4×#102×C1272
C127×#17502
#21586127