Finite Group Databasebeta

← C127×#21589 #44585262

Subgroups — C127×#21589 #44585262

Order 32512.

844 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#485×C127C211yesmaximal, characteristic
2C127×#2323C211yesmaximal, characteristic
3C127×#2274C211yesmaximal, characteristic
4C127×#1928C211yesmaximal, characteristic, complemented
5C127×#1928C211yesmaximal, characteristic, complemented
6C127×#1920C211yesmaximal, characteristic, complemented
7C127×#1918C211yesmaximal, characteristic, complemented
8C127×#1872C211yesmaximal, characteristic
9C127×#1852C211yesmaximal, characteristic
10C127×#1825C211yesmaximal, characteristic
11C127×#1776C211yesmaximal, characteristic, complemented
12C4×#107×C127C211yesmaximal, characteristic, complemented
13C127×#1763C211yesmaximal, characteristic, complemented
14C4×#103×C127C211yesmaximal, characteristic, complemented
15C127×#1750C211yesmaximal, characteristic
16C2×C22⋊Q8×C127C2211yescharacteristic
17C2×C4×Q8×C127C2211yescharacteristic
18C2×#117×C127C2211yescharacteristic
19C2×#117×C127C2211yescharacteristic
20C22×C4⋊C4×C127C2211yescharacteristic
21#485×C127C418yescomplemented
22C2×#107×C127C2211yescharacteristic
23C2×#107×C127C2211yescharacteristic
24C2×#107×C127C2211yescharacteristic
25C2×#106×C127C2211yescharacteristic
26C2×#103×C127C2211yescharacteristic
27C2×#103×C127C2211yescharacteristic
28C2×#103×C127C2211yescharacteristic
29C2×#103×C127C2211yescharacteristic
30C2×C22⋊C8×C127C2211yescharacteristic
31C2×C22⋊C8×C127C2211yescharacteristic
32C2×#97×C127C2211yescharacteristic
33C2×C4×C8×C127C2211yescharacteristic
34#391×C127C2211yescharacteristic
35#389×C127—21no—
36#389×C127C2211yescharacteristic
37#388×C127—21no—
38#388×C127—21no—
39#387×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×Q8×C127C2311yescharacteristic
61C23×C4×C127—21no—
62C23×C4×C127C2311yescharacteristic
63C22×C8×C127C2311yescharacteristic
64C22×C8×C127C2311yescharacteristic
65C22×C8×C127C2311yescharacteristic
66C22×C8×C127C2311yescharacteristic
67C22⋊Q8×C127—22no—
68C22⋊Q8×C127C2×C414yes—
69C4×Q8×C127—22no—
70C4×Q8×C127—22no—
71#117×C127—22no—
72#117×C127—22no—
73#117×C127—22no—
74#117×C127C2×C414yes—
75C2×C4⋊C4×C127—21no—
76C2×C4⋊C4×C127—21no—
77C2×C4⋊C4×C127—22no—
78C2×C4⋊C4×C127—22no—
79C2×C4⋊C4×C127—21no—
80C2×C4⋊C4×C127—21no—
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×C127D411yescharacteristic
94C2×C22⋊C4×C127D411yescharacteristic
95C2×C42×C127—21no—
96C2×C42×C127—21no—
97C2×C42×C127—21no—
98C2×C42×C127—21no—
99C2×C42×C127—21no—
100C2×C42×C127—21no—
101C2×C42×C127—21no—
102C2×C42×C127C2311yescharacteristic
103C2×C42×C127C2311yescharacteristic
104#107×C127—22no—
105#107×C127—22no—
106#107×C127C2×C414yescomplemented
107#106×C127C2×C414yescomplemented
108#103×C127—22no—
109#103×C127—22no—
110#103×C127C2×C414yescomplemented
111#103×C127C2×C414yescomplemented
112C22⋊C8×C127—22no—
113C22⋊C8×C127C2×C414yes—
114#97×C127—22no—
115C4×C8×C127—22no—
116#95×C127—21no—
117#95×C127—21no—
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×C127C2×D411yescharacteristic
126C2×Q8×C127—21no—
127C2×Q8×C127—21no—
128C2×Q8×C127—21no—
129C2×Q8×C127—21no—
130C2×Q8×C127—21no—
131C2×Q8×C127C22×C412yes—
132C22×C4×C127—21no—
133C22×C4×C127—21no—
134C22×C4×C127—21no—
135C22×C4×C127—21no—
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—24no—
143C22×C4×C127—21no—
144C22×C4×C127—21no—
145C22×C4×C127—81no—
146C22×C4×C127—81no—
147C22×C4×C127C22×C412yes—
148C22×C4×C127C2×D411yescharacteristic
149C22×C4×C127C2×D411yescharacteristic
150C22×C4×C127C2×D411yescharacteristic
151C22×C4×C127C2×D411yescharacteristic
152C22×C4×C127C2×D411yescharacteristic
153C22×C4×C127#4112yes—
154C22×C4×C127C2411yescharacteristic
155C2×C8×C127—21no—
156C2×C8×C127—21no—
157C2×C8×C127—21no—
158C2×C8×C127—21no—
159C2×C8×C127—21no—
160C2×C8×C127—21no—
161C2×C8×C127—21no—
162C2×C8×C127—21no—
163C2×C8×C127—21no—
164C2×C8×C127—21no—
165C2×C8×C127C22×C412yes—
166C2×C8×C127C22×C412yes—
167C4⋊C4×C127—24no—
168C4⋊C4×C127—24no—
169C4⋊C4×C127—22no—
170C4⋊C4×C127—22no—
171C4⋊C4×C127—21no—
172C4⋊C4×C127—21no—
173C4⋊C4×C127—21no—
174C4⋊C4×C127—21no—
175C4⋊C4×C127—21no—
176C4⋊C4×C127—21no—
177C4⋊C4×C127—21no—
178C4⋊C4×C127—21no—
179C4⋊C4×C127—21no—
180C4⋊C4×C127—42no—
181C4⋊C4×C127—81no—
182C4⋊C4×C127C22×C412yes—
183C4⋊C4×C127C22×C412yes—
184C4⋊C4×C127C22×C412yes—
185C4⋊C4×C127#4112yes—
186C4⋊C4×C127#4112yes—
187C22⋊C4×C127—24no—
188C22⋊C4×C127—24no—
189C22⋊C4×C127—22no—
190C22⋊C4×C127—22no—
191C22⋊C4×C127—81no—
192C42×C127—24no—
193C42×C127—21no—
194C42×C127—21no—
195C42×C127—42no—
196C42×C127—81no—
197C42×C127—81no—
198C42×C127—81no—
199C42×C127—81no—
200C42×C127—81no—
201C42×C127#4112yes—
202C42×C127#4112yes—
203C23×C127—21no—
204C23×C127—21no—
205C23×C127—21no—
206C23×C127—21no—
207C23×C127—21no—
208C23×C127—21no—
209C23×C127C4×D412yes—
210C23×C127C22×D411yescharacteristic
211Q8×C127—22no—
212Q8×C127—22no—
213Q8×C127—41no—
214Q8×C127—41no—
215C2×C4×C127—21no—
216C2×C4×C127—21no—
217C2×C4×C127—21no—
218C2×C4×C127—21no—
219C2×C4×C127—21no—
220C2×C4×C127—21no—
221C2×C4×C127—22no—
222C2×C4×C127—22no—
223C2×C4×C127—22no—
224C2×C4×C127—22no—
225C2×C4×C127—22no—
226C2×C4×C127—22no—
227C2×C4×C127—22no—
228C2×C4×C127—22no—
229C2×C4×C127—21no—
230C2×C4×C127—21no—
231C2×C4×C127—22no—
232C2×C4×C127—22no—
233C2×C4×C127—21no—
234C2×C4×C127—21no—
235C2×C4×C127—21no—
236C2×C4×C127—21no—
237C2×C4×C127—41no—
238C2×C4×C127—41no—
239C2×C4×C127—41no—
240C2×C4×C127—41no—
241C2×C4×C127—41no—
242C2×C4×C127—41no—
243C2×C4×C127—41no—
244C2×C4×C127—41no—
245C2×C4×C127—41no—
246C2×C4×C127—41no—
247C2×C4×C127—41no—
248C2×C4×C127—41no—
249C2×C4×C127—41no—
250C2×C4×C127—41no—
251C2×C4×C127—41no—
252C2×C4×C127—41no—
253C2×C4×C127—41no—
254C2×C4×C127—41no—
255C2×C4×C127—84no—
256C2×C4×C127C4×D412yes—
257C2×C4×C127#12312yes—
258C2×C4×C127#12312yes—
259C2×C4×C127C23×C411yescharacteristic
260C2×C4×C127C2×#4111yescharacteristic
261C2×C4×C127C2×#4111yescharacteristic
262C2×C4×C127C2×#4111yescharacteristic
263C2×C4×C127C2×#4111yescharacteristic
264C2×C4×C127C2×#4111yescharacteristic
265C8×C127—22no—
266C8×C127—22no—
267C8×C127—41no—
268C8×C127—41no—
269C22×C127—22no—
270C22×C127—22no—
271C22×C127—22no—
272C22×C127—41no—
273C22×C127—41no—
274C22×C127—41no—
275C22×C127—41no—
276C22×C127C2×C4×D411yescharacteristic
277C22×C127C2×#12311yescharacteristic
278C22×C127#52511yescharacteristic
279C22×C127#57611yescharacteristic
280C22×C127#57711yescharacteristic
281C22×C127#57811yescharacteristic
282C22×C127#57811yescharacteristic
283C4×C127—22no—
284C4×C127—22no—
285C4×C127—22no—
286C4×C127—41no—
287C4×C127—41no—
288C4×C127—42no—
289C4×C127—42no—
290C4×C127—42no—
291C4×C127—42no—
292C4×C127—42no—
293C4×C127—42no—
294C4×C127—81no—
295C4×C127—81no—
296C4×C127C4×#4111yescharacteristic
297C4×C127C4×#4111yescharacteristic
298C4×C127#52911yescharacteristic
299C4×C127#52911yescharacteristic
300#21589C12711yesmaximal, characteristic, direct product factor, Sylow
301C2×C127—42no—
302C2×C127C4×#12311yescharacteristic
303C2×C127#294711yescharacteristic
304C2×C127#295111yescharacteristic
305C2×C127#309711yescharacteristic
306C2×C127#309811yescharacteristic
307C2×C127#311811yescharacteristic
308C2×C127#312711yescharacteristic
309C2×#485C2×C12711yescharacteristic
310#2323C2×C12711yescharacteristic
311#2274C2×C12711yescharacteristic
312#1928C2×C12711yescharacteristic, complemented
313#1928C2×C12711yescharacteristic, complemented
314#1920C2×C12711yescharacteristic, complemented
315#1918C2×C12711yescharacteristic, complemented
316#1872C2×C12711yescharacteristic
317#1852C2×C12711yescharacteristic
318#1825C2×C12711yescharacteristic
319#1776C2×C12711yescharacteristic, complemented
320C4×#107C2×C12711yescharacteristic, complemented
321#1763C2×C12711yescharacteristic, complemented
322C4×#103C2×C12711yescharacteristic, complemented
323#1750C2×C12711yescharacteristic
324C127#2158911yescharacteristic, direct product factor, Sylow
325C2×C22⋊Q8C22×C12711yescharacteristic
326C2×C4×Q8C22×C12711yescharacteristic
327C2×#117C22×C12711yescharacteristic
328C2×#117C22×C12711yescharacteristic
329C22×C4⋊C4C22×C12711yescharacteristic
330#485C4×C12718yescomplemented
331C2×#107C22×C12711yescharacteristic
332C2×#107C22×C12711yescharacteristic
333C2×#107C22×C12711yescharacteristic
334C2×#106C22×C12711yescharacteristic
335C2×#103C22×C12711yescharacteristic
336C2×#103C22×C12711yescharacteristic
337C2×#103C22×C12711yescharacteristic
338C2×#103C22×C12711yescharacteristic
339C2×C22⋊C8C22×C12711yescharacteristic
340C2×C22⋊C8C22×C12711yescharacteristic
341C2×#97C22×C12711yescharacteristic
342C2×C4×C8C22×C12711yescharacteristic
343#391C22×C12711yescharacteristic
344#389—21no—
345#389C22×C12711yescharacteristic
346#388—21no—
347#388—21no—
348#387—21no—
349#380C22×C12711yescharacteristic
350C4×C4⋊C4—21no—
351C4×C4⋊C4—21no—
352C4×C4⋊C4C22×C12711yescharacteristic
353C4×C4⋊C4C22×C12711yescharacteristic
354C4×C4⋊C4C22×C12711yescharacteristic
355C4×C4⋊C4C22×C12711yescharacteristic
356C4×C4⋊C4C22×C12711yescharacteristic
357C4×C22⋊C4—21no—
358C4×C22⋊C4—21no—
359#340C22×C12711yescharacteristic
360#340C22×C12711yescharacteristic
361#340C22×C12711yescharacteristic
362#340C22×C12711yescharacteristic
363#340C22×C12711yescharacteristic
364#340C22×C12711yescharacteristic
365#340C22×C12711yescharacteristic
366#340C22×C12711yescharacteristic
367#336C22×C12711yescharacteristic
368#336C22×C12711yescharacteristic
369C22×Q8C23×C12711yescharacteristic
370C23×C4—21no—
371C23×C4C23×C12711yescharacteristic
372C22×C8C23×C12711yescharacteristic
373C22×C8C23×C12711yescharacteristic
374C22×C8C23×C12711yescharacteristic
375C22×C8C23×C12711yescharacteristic
376C22⋊Q8—22no—
377C22⋊Q8C2×C4×C12714yes—
378C4×Q8—22no—
379C4×Q8—22no—
380#117—22no—
381#117—22no—
382#117—22no—
383#117C2×C4×C12714yes—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4D4×C12711yescharacteristic
391C2×C4⋊C4D4×C12711yescharacteristic
392C2×C4⋊C4C23×C12711yescharacteristic
393C2×C4⋊C4C23×C12711yescharacteristic
394C2×C4⋊C4C23×C12711yescharacteristic
395C2×C4⋊C4C23×C12711yescharacteristic
396C2×C4⋊C4C23×C12711yescharacteristic
397C2×C4⋊C4C23×C12711yescharacteristic
398C2×C4⋊C4C23×C12711yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4D4×C12711yescharacteristic
403C2×C22⋊C4D4×C12711yescharacteristic
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407C2×C42—21no—
408C2×C42—21no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42C23×C12711yescharacteristic
412C2×C42C23×C12711yescharacteristic
413#107—22no—
414#107—22no—
415#107C2×C4×C12714yescomplemented
416#106C2×C4×C12714yescomplemented
417#103—22no—
418#103—22no—
419#103C2×C4×C12714yescomplemented
420#103C2×C4×C12714yescomplemented
421C22⋊C8—22no—
422C22⋊C8C2×C4×C12714yes—
423#97—22no—
424C4×C8—22no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—21no—
434C24C2×D4×C12711yescharacteristic
435C2×Q8—21no—
436C2×Q8—21no—
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—21no—
440C2×Q8C22×C4×C12712yes—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—24no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4C22×C4×C12712yes—
457C22×C4C2×D4×C12711yescharacteristic
458C22×C4C2×D4×C12711yescharacteristic
459C22×C4C2×D4×C12711yescharacteristic
460C22×C4C2×D4×C12711yescharacteristic
461C22×C4C2×D4×C12711yescharacteristic
462C22×C4#41×C12712yes—
463C22×C4C24×C12711yescharacteristic
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8C22×C4×C12712yes—
475C2×C8C22×C4×C12712yes—
476C4⋊C4—24no—
477C4⋊C4—24no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—42no—
490C4⋊C4—81no—
491C4⋊C4C22×C4×C12712yes—
492C4⋊C4C22×C4×C12712yes—
493C4⋊C4C22×C4×C12712yes—
494C4⋊C4#41×C12712yes—
495C4⋊C4#41×C12712yes—
496C22⋊C4—24no—
497C22⋊C4—24no—
498C22⋊C4—22no—
499C22⋊C4—22no—
500C22⋊C4—81no—
501C42—24no—
502C42—21no—
503C42—21no—
504C42—42no—
505C42—81no—
506C42—81no—
507C42—81no—
508C42—81no—
509C42—81no—
510C42#41×C12712yes—
511C42#41×C12712yes—
512C23—21no—
513C23—21no—
514C23—21no—
515C23—21no—
516C23—21no—
517C23—21no—
518C23C4×D4×C12712yes—
519C23C22×D4×C12711yescharacteristic
520Q8—22no—
521Q8—22no—
522Q8—41no—
523Q8—41no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—84no—
565C2×C4C4×D4×C12712yes—
566C2×C4#123×C12712yes—
567C2×C4#123×C12712yes—
568C2×C4C23×C4×C12711yescharacteristic
569C2×C4C2×#41×C12711yescharacteristic
570C2×C4C2×#41×C12711yescharacteristic
571C2×C4C2×#41×C12711yescharacteristic
572C2×C4C2×#41×C12711yescharacteristic
573C2×C4C2×#41×C12711yescharacteristic
574C8—22no—
575C8—22no—
576C8—41no—
577C8—41no—
578C22—22no—
579C22—22no—
580C22—22no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22C2×C4×D4×C12711yescharacteristic
586C22C2×#123×C12711yescharacteristic
587C22#525×C12711yescharacteristic
588C22#576×C12711yescharacteristic
589C22#577×C12711yescharacteristic
590C22#578×C12711yescharacteristic
591C22#578×C12711yescharacteristic
592C4—22no—
593C4—22no—
594C4—22no—
595C4—41no—
596C4—41no—
597C4—42no—
598C4—42no—
599C4—42no—
600C4—42no—
601C4—42no—
602C4—42no—
603C4—81no—
604C4—81no—
605C4C4×#41×C12711yescharacteristic
606C4C4×#41×C12711yescharacteristic
607C4#529×C12711yescharacteristic
608C4#529×C12711yescharacteristic
609C2—42no—
610C2C4×#123×C12711yescharacteristic
611C2C127×#294711yescharacteristic
612C2C127×#295111yescharacteristic
613C2C127×#309711yescharacteristic
614C2C127×#309811yescharacteristic
615C2C127×#311811yescharacteristic
616C2C127×#312711yescharacteristic
subgroupG/H
center, socleC23×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
prime radicalC24×C127C2×D4
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
4. C127×#1928C2semidirect
5. C127×#1928C2semidirect
6. C127×#1920C2semidirect
7. C127×#1918C2semidirect
11. C127×#1776C2semidirect
12. C4×#107×C127C2semidirect
13. C127×#1763C2semidirect
14. C4×#103×C127C2semidirect
21. #485×C127C4semidirect
106. #107×C127C2×C4semidirect
107. #106×C127C2×C4semidirect
110. #103×C127C2×C4semidirect
111. #103×C127C2×C4semidirect
300. #21589C127direct (N × H)
312. #1928C2×C127semidirect
313. #1928C2×C127semidirect
314. #1920C2×C127semidirect
315. #1918C2×C127semidirect
319. #1776C2×C127semidirect
320. C4×#107C2×C127semidirect
321. #1763C2×C127semidirect
322. C4×#103C2×C127semidirect
324. C127#21589direct (N × H)
330. #485C4×C127semidirect
415. #107C2×C4×C127semidirect
416. #106C2×C4×C127semidirect
419. #103C2×C4×C127semidirect
420. #103C2×C4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#485×C1272
C127×#23232
C127×#22742
C127×#19282
C127×#19202
C127×#19182
C127×#18722
C127×#18522
C127×#18252
C127×#17762
C4×#107×C1272
C127×#17632
C4×#103×C1272
C127×#17502
#21589127