Finite Group Databasebeta

← C127×#21466 #44585139

Subgroups — C127×#21466 #44585139

Order 32512.

1354 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#131×C127C211yesmaximal, characteristic, complemented
2C127×#3002C211yesmaximal, characteristic
3C2×#443×C127C212yesmaximal, complemented
4C127×#2929C211yesmaximal, characteristic, complemented
5C127×#1876C212yesmaximal, complemented
6C127×#1871C211yesmaximal, characteristic, complemented
7C127×#1866C212yesmaximal, complemented
8C127×#1855C211yesmaximal, characteristic, complemented
9C127×#1789C211yesmaximal, characteristic, complemented
10C127×#1764C212yesmaximal, complemented
11C8×C22⋊C4×C127C211yesmaximal, characteristic, complemented
12C22×#41×C127C2211yescharacteristic
13C2×#135×C127C2212yes—
14C2×#131×C127—28no—
15C2×#131×C127—21no—
16C2×#131×C127—21no—
17C2×#131×C127C2212yes—
18C2×#131×C127C2212yes—
19C2×#131×C127C2211yescharacteristic, complemented
20C22×M16×C127—21no—
21C22×M16×C127C2211yescharacteristic
22C23×C8×C127—21no—
23C23×C8×C127C2211yescharacteristic
24#525×C127C2211yescharacteristic
25#452×C127C412yescomplemented
26#451×C127C411yescharacteristic, complemented
27#450×C127C411yescharacteristic, complemented
28#449×C127C412yescomplemented
29#448×C127C411yescharacteristic, complemented
30#447×C127C411yescharacteristic, complemented
31#443×C127—28no—
32#435×C127—21no—
33#435×C127—21no—
34C8×D4×C127—21no—
35C8×D4×C127—21no—
36C2×#108×C127C2212yescomplemented
37#424×C127C2211yescharacteristic, complemented
38C2×#104×C127C2212yes—
39C2×#104×C127C2212yes—
40C2×#104×C127C2212yescomplemented
41#416×C127C2212yes—
42#408×C127C2211yescharacteristic, complemented
43#407×C127C2211yescharacteristic
44C2×C22⋊C8×C127C2211yescharacteristic
45#405×C127C2211yescharacteristic, complemented
46C2×C4×C8×C127C2212yescomplemented
47C4×C22⋊C4×C127C2211yescharacteristic
48#341×C127C2212yescomplemented
49#339×C127C2212yescomplemented
50#336×C127C2212yescomplemented
51C2×#41×C127—24no—
52C2×#41×C127—24no—
53C2×#41×C127—21no—
54C2×#41×C127—21no—
55C2×#41×C127C2×C412yes—
56C2×#41×C127C2311yescharacteristic
57C2×#41×C127C2312yes—
58C22×Q8×C127C2×C411yescharacteristic
59C22×D4×C127—21no—
60C22×D4×C127C2×C411yescharacteristic
61C23×C4×C127—21no—
62C23×C4×C127C2311yescharacteristic
63#135×C127—24no—
64#135×C127—24no—
65C2×Q16×C127C2×C412yes—
66C2×SD16×C127C2×C412yes—
67C2×SD16×C127C2×C412yes—
68C2×D8×C127C2×C412yes—
69#131×C127—28no—
70#131×C127—28no—
71#131×C127—24no—
72#131×C127—24no—
73#131×C127—24no—
74#131×C127—24no—
75#131×C127D418yescomplemented
76C2×M16×C127—28no—
77C2×M16×C127—21no—
78C2×M16×C127—24no—
79C2×M16×C127—22no—
80C2×M16×C127—22no—
81C2×M16×C127—21no—
82C2×M16×C127C2311yescharacteristic
83C2×M16×C127C2311yescharacteristic
84C2×M16×C127C2312yes—
85C22×C8×C127—28no—
86C22×C8×C127—21no—
87C22×C8×C127—22no—
88C22×C8×C127—24no—
89C22×C8×C127—22no—
90C22×C8×C127—21no—
91C22×C8×C127D411yescharacteristic
92C22×C8×C127D411yescharacteristic
93C22×C8×C127D411yescharacteristic
94C22×C8×C127D411yescharacteristic
95C22×C8×C127C2312yes—
96C22×C8×C127C2311yescharacteristic
97C22×C8×C127C2311yescharacteristic
98#123×C127—21no—
99C22⋊Q8×C127C2×C411yescharacteristic
100C22⋊Q8×C127C2×C411yescharacteristic
101#121×C127C2×C411yescharacteristic
102#121×C127C2×C411yescharacteristic
103#120×C127—21no—
104C4×D4×C127—21no—
105C4×D4×C127—21no—
106#117×C127C2311yescharacteristic
107C2×C22⋊C4×C127—21no—
108C2×C42×C127C2312yes—
109#108×C127—24no—
110C4⋊C8×C127—21no—
111C4⋊C8×C127—21no—
112#104×C127—24no—
113#104×C127—24no—
114#104×C127—24no—
115#103×C127C2×C412yes—
116#103×C127C2×C412yes—
117#102×C127C2×C412yes—
118#102×C127C2×C412yes—
119C22⋊C8×C127—21no—
120C22⋊C8×C127—21no—
121C22⋊C8×C127—21no—
122C22⋊C8×C127—21no—
123C22⋊C8×C127C2×C411yescharacteristic
124C22⋊C8×C127C2×C411yescharacteristic
125C22⋊C8×C127C2×C412yes—
126#97×C127—21no—
127C4×C8×C127—24no—
128C4×C8×C127—21no—
129#95×C127—21no—
130C24×C127—21no—
131C24×C127#4111yescharacteristic
132#41×C127—24no—
133#41×C127—28no—
134#41×C127—24no—
135#41×C127—24no—
136#41×C127—24no—
137#41×C127—22no—
138#41×C127—22no—
139#41×C127—22no—
140#41×C127—22no—
141#41×C127C2×D414yes—
142#41×C127#4114yes—
143C2×Q8×C127—24no—
144C2×Q8×C127—21no—
145C2×Q8×C127C22×C411yescharacteristic
146C2×Q8×C127C22×C412yes—
147C2×D4×C127—28no—
148C2×D4×C127—22no—
149C2×D4×C127—22no—
150C2×D4×C127—24no—
151C2×D4×C127—21no—
152C2×D4×C127—21no—
153C2×D4×C127—21no—
154C2×D4×C127—21no—
155C2×D4×C127C22×C411yescharacteristic
156C2×D4×C127C22×C412yes—
157C22×C4×C127—24no—
158C22×C4×C127—24no—
159C22×C4×C127—21no—
160C22×C4×C127—22no—
161C22×C4×C127—22no—
162C22×C4×C127—22no—
163C22×C4×C127—22no—
164C22×C4×C127—22no—
165C22×C4×C127—21no—
166C22×C4×C127C22×C411yescharacteristic
167C22×C4×C127C22×C411yescharacteristic
168C22×C4×C127C2×D411yescharacteristic
169C22×C4×C127C2×D411yescharacteristic
170C22×C4×C127#4111yescharacteristic
171C22×C4×C127C2411yescharacteristic
172Q16×C127—24no—
173SD16×C127—24no—
174SD16×C127—24no—
175D8×C127—24no—
176M16×C127—24no—
177M16×C127—28no—
178M16×C127—22no—
179M16×C127—28no—
180M16×C127—22no—
181M16×C127—22no—
182M16×C127—42no—
183M16×C127C2×D414yes—
184C2×C8×C127—24no—
185C2×C8×C127—28no—
186C2×C8×C127—22no—
187C2×C8×C127—22no—
188C2×C8×C127—22no—
189C2×C8×C127—22no—
190C2×C8×C127—22no—
191C2×C8×C127—28no—
192C2×C8×C127—22no—
193C2×C8×C127—22no—
194C2×C8×C127—22no—
195C2×C8×C127—21no—
196C2×C8×C127—21no—
197C2×C8×C127—42no—
198C2×C8×C127C22×C412yes—
199C2×C8×C127C22×C412yes—
200C2×C8×C127C2×D411yescharacteristic
201C2×C8×C127C2×D411yescharacteristic
202C2×C8×C127C2×D414yes—
203C2×C8×C127C2×D411yescharacteristic
204C2×C8×C127C2×D411yescharacteristic
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127C22×C411yescharacteristic
208C4⋊C4×C127C22×C411yescharacteristic
209C22⋊C4×C127—24no—
210C22⋊C4×C127—21no—
211C22⋊C4×C127—21no—
212C22⋊C4×C127—21no—
213C22⋊C4×C127—21no—
214C22⋊C4×C127—21no—
215C42×C127—21no—
216C42×C127—22no—
217C42×C127—22no—
218C23×C127—24no—
219C23×C127—22no—
220C23×C127—22no—
221C23×C127—22no—
222C23×C127—21no—
223C23×C127—41no—
224C23×C127—42no—
225C23×C127—42no—
226C23×C127C4×D411yescharacteristic
227C23×C127C4×D411yescharacteristic
228C23×C127C2×#4111yescharacteristic
229Q8×C127—24no—
230Q8×C127—22no—
231Q8×C127—22no—
232Q8×C127C4×D414yes—
233D4×C127—28no—
234D4×C127—24no—
235D4×C127—24no—
236D4×C127—24no—
237D4×C127—22no—
238D4×C127—22no—
239D4×C127—42no—
240D4×C127—42no—
241D4×C127—42no—
242D4×C127C4×D414yes—
243C2×C4×C127—24no—
244C2×C4×C127—28no—
245C2×C4×C127—22no—
246C2×C4×C127—22no—
247C2×C4×C127—22no—
248C2×C4×C127—22no—
249C2×C4×C127—21no—
250C2×C4×C127—24no—
251C2×C4×C127—21no—
252C2×C4×C127—21no—
253C2×C4×C127—24no—
254C2×C4×C127—21no—
255C2×C4×C127—24no—
256C2×C4×C127—21no—
257C2×C4×C127—21no—
258C2×C4×C127—21no—
259C2×C4×C127—42no—
260C2×C4×C127—42no—
261C2×C4×C127—41no—
262C2×C4×C127—41no—
263C2×C4×C127C4×D411yescharacteristic
264C2×C4×C127C4×D411yescharacteristic
265C2×C4×C127C23×C411yescharacteristic
266C2×C4×C127C22×D412yes—
267C2×C4×C127C22×D411yescharacteristic
268C2×C4×C127C2×#4112yes—
269C8×C127—22no—
270C8×C127—22no—
271C8×C127—21no—
272C8×C127—24no—
273C8×C127—21no—
274C8×C127—41no—
275C8×C127—41no—
276C8×C127#12012yes—
277C8×C127#12012yes—
278C22×C127—21no—
279C22×C127—21no—
280C22×C127—21no—
281C22×C127—21no—
282C22×C127—21no—
283C22×C127—21no—
284C22×C127—21no—
285C22×C127—24no—
286C22×C127—44no—
287C22×C127—48no—
288C22×C127—42no—
289C22×C127—42no—
290C22×C127—41no—
291C22×C127—41no—
292C22×C127—41no—
293C22×C127#44312yescomplemented
294C22×C127C2×C4×D411yescharacteristic
295C22×C127#52512yes—
296C4×C127—21no—
297C4×C127—24no—
298C4×C127—21no—
299C4×C127—44no—
300C4×C127—41no—
301C4×C127—41no—
302C4×C127—41no—
303C4×C127C2×C4×D412yes—
304C4×C127C2×#12011yescharacteristic
305C4×C127#52511yescharacteristic
306#21466C12711yesmaximal, characteristic, direct product factor, Sylow
307C2×C127—22no—
308C2×C127—22no—
309C2×C127—41no—
310C2×C127—44no—
311C2×C127—81no—
312C2×C127C4×#12011yescharacteristic
313C2×C127C2×#44311yescharacteristic
314C2×C127#295511yescharacteristic
315C22×#131C2×C12711yescharacteristic, complemented
316#3002C2×C12711yescharacteristic
317C2×#443C2×C12712yescomplemented
318#2929C2×C12711yescharacteristic, complemented
319#1876C2×C12712yescomplemented
320#1871C2×C12711yescharacteristic, complemented
321#1866C2×C12712yescomplemented
322#1855C2×C12711yescharacteristic, complemented
323#1789C2×C12711yescharacteristic, complemented
324#1764C2×C12712yescomplemented
325C8×C22⋊C4C2×C12711yescharacteristic, complemented
326C127#2146611yescharacteristic, direct product factor, Sylow
327C22×#41C22×C12711yescharacteristic
328C2×#135C22×C12712yes—
329C2×#131—28no—
330C2×#131—21no—
331C2×#131—21no—
332C2×#131C22×C12712yes—
333C2×#131C22×C12712yes—
334C2×#131C22×C12711yescharacteristic, complemented
335C22×M16—21no—
336C22×M16C22×C12711yescharacteristic
337C23×C8—21no—
338C23×C8C22×C12711yescharacteristic
339#525C22×C12711yescharacteristic
340#452C4×C12712yescomplemented
341#451C4×C12711yescharacteristic, complemented
342#450C4×C12711yescharacteristic, complemented
343#449C4×C12712yescomplemented
344#448C4×C12711yescharacteristic, complemented
345#447C4×C12711yescharacteristic, complemented
346#443—28no—
347#435—21no—
348#435—21no—
349C8×D4—21no—
350C8×D4—21no—
351C2×#108C22×C12712yescomplemented
352#424C22×C12711yescharacteristic, complemented
353C2×#104C22×C12712yes—
354C2×#104C22×C12712yes—
355C2×#104C22×C12712yescomplemented
356#416C22×C12712yes—
357#408C22×C12711yescharacteristic, complemented
358#407C22×C12711yescharacteristic
359C2×C22⋊C8C22×C12711yescharacteristic
360#405C22×C12711yescharacteristic, complemented
361C2×C4×C8C22×C12712yescomplemented
362C4×C22⋊C4C22×C12711yescharacteristic
363#341C22×C12712yescomplemented
364#339C22×C12712yescomplemented
365#336C22×C12712yescomplemented
366C2×#41—24no—
367C2×#41—24no—
368C2×#41—21no—
369C2×#41—21no—
370C2×#41C2×C4×C12712yes—
371C2×#41C23×C12711yescharacteristic
372C2×#41C23×C12712yes—
373C22×Q8C2×C4×C12711yescharacteristic
374C22×D4—21no—
375C22×D4C2×C4×C12711yescharacteristic
376C23×C4—21no—
377C23×C4C23×C12711yescharacteristic
378#135—24no—
379#135—24no—
380C2×Q16C2×C4×C12712yes—
381C2×SD16C2×C4×C12712yes—
382C2×SD16C2×C4×C12712yes—
383C2×D8C2×C4×C12712yes—
384#131—28no—
385#131—28no—
386#131—24no—
387#131—24no—
388#131—24no—
389#131—24no—
390#131D4×C12718yescomplemented
391C2×M16—28no—
392C2×M16—21no—
393C2×M16—24no—
394C2×M16—22no—
395C2×M16—22no—
396C2×M16—21no—
397C2×M16C23×C12711yescharacteristic
398C2×M16C23×C12711yescharacteristic
399C2×M16C23×C12712yes—
400C22×C8—28no—
401C22×C8—21no—
402C22×C8—22no—
403C22×C8—22no—
404C22×C8—24no—
405C22×C8—21no—
406C22×C8D4×C12711yescharacteristic
407C22×C8D4×C12711yescharacteristic
408C22×C8D4×C12711yescharacteristic
409C22×C8D4×C12711yescharacteristic
410C22×C8C23×C12712yes—
411C22×C8C23×C12711yescharacteristic
412C22×C8C23×C12711yescharacteristic
413#123—21no—
414C22⋊Q8C2×C4×C12711yescharacteristic
415C22⋊Q8C2×C4×C12711yescharacteristic
416#121C2×C4×C12711yescharacteristic
417#121C2×C4×C12711yescharacteristic
418#120—21no—
419C4×D4—21no—
420C4×D4—21no—
421#117C23×C12711yescharacteristic
422C2×C22⋊C4—21no—
423C2×C42C23×C12712yes—
424#108—24no—
425C4⋊C8—21no—
426C4⋊C8—21no—
427#104—24no—
428#104—24no—
429#104—24no—
430#103C2×C4×C12712yes—
431#103C2×C4×C12712yes—
432#102C2×C4×C12712yes—
433#102C2×C4×C12712yes—
434C22⋊C8—21no—
435C22⋊C8—21no—
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8C2×C4×C12711yescharacteristic
439C22⋊C8C2×C4×C12711yescharacteristic
440C22⋊C8C2×C4×C12712yes—
441#97—21no—
442C4×C8—24no—
443C4×C8—21no—
444#95—21no—
445C24—21no—
446C24#41×C12711yescharacteristic
447#41—24no—
448#41—28no—
449#41—24no—
450#41—24no—
451#41—24no—
452#41—22no—
453#41—22no—
454#41—22no—
455#41—22no—
456#41C2×D4×C12714yes—
457#41#41×C12714yes—
458C2×Q8—24no—
459C2×Q8—21no—
460C2×Q8C22×C4×C12711yescharacteristic
461C2×Q8C22×C4×C12712yes—
462C2×D4—28no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4C22×C4×C12711yescharacteristic
471C2×D4C22×C4×C12712yes—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4C22×C4×C12711yescharacteristic
482C22×C4C22×C4×C12711yescharacteristic
483C22×C4C2×D4×C12711yescharacteristic
484C22×C4C2×D4×C12711yescharacteristic
485C22×C4#41×C12711yescharacteristic
486C22×C4C24×C12711yescharacteristic
487Q16—24no—
488SD16—24no—
489SD16—24no—
490D8—24no—
491M16—24no—
492M16—28no—
493M16—22no—
494M16—28no—
495M16—22no—
496M16—22no—
497M16—42no—
498M16C2×D4×C12714yes—
499C2×C8—24no—
500C2×C8—28no—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—28no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8C22×C4×C12712yes—
514C2×C8C22×C4×C12712yes—
515C2×C8C2×D4×C12711yescharacteristic
516C2×C8C2×D4×C12711yescharacteristic
517C2×C8C2×D4×C12714yes—
518C2×C8C2×D4×C12711yescharacteristic
519C2×C8C2×D4×C12711yescharacteristic
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4C22×C4×C12711yescharacteristic
523C4⋊C4C22×C4×C12711yescharacteristic
524C22⋊C4—24no—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C22⋊C4—21no—
528C22⋊C4—21no—
529C22⋊C4—21no—
530C42—21no—
531C42—22no—
532C42—22no—
533C23—24no—
534C23—22no—
535C23—22no—
536C23—22no—
537C23—21no—
538C23—41no—
539C23—42no—
540C23—42no—
541C23C4×D4×C12711yescharacteristic
542C23C4×D4×C12711yescharacteristic
543C23C2×#41×C12711yescharacteristic
544Q8—24no—
545Q8—22no—
546Q8—22no—
547Q8C4×D4×C12714yes—
548D4—28no—
549D4—24no—
550D4—24no—
551D4—24no—
552D4—22no—
553D4—22no—
554D4—42no—
555D4—42no—
556D4—42no—
557D4C4×D4×C12714yes—
558C2×C4—24no—
559C2×C4—28no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—24no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—24no—
569C2×C4—21no—
570C2×C4—24no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4C4×D4×C12711yescharacteristic
579C2×C4C4×D4×C12711yescharacteristic
580C2×C4C23×C4×C12711yescharacteristic
581C2×C4C22×D4×C12712yes—
582C2×C4C22×D4×C12711yescharacteristic
583C2×C4C2×#41×C12712yes—
584C8—22no—
585C8—22no—
586C8—21no—
587C8—24no—
588C8—21no—
589C8—41no—
590C8—41no—
591C8#120×C12712yes—
592C8#120×C12712yes—
593C22—21no—
594C22—21no—
595C22—21no—
596C22—21no—
597C22—21no—
598C22—21no—
599C22—21no—
600C22—24no—
601C22—44no—
602C22—48no—
603C22—42no—
604C22—42no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22#443×C12712yescomplemented
609C22C2×C4×D4×C12711yescharacteristic
610C22#525×C12712yes—
611C4—21no—
612C4—24no—
613C4—21no—
614C4—44no—
615C4—41no—
616C4—41no—
617C4—41no—
618C4C2×C4×D4×C12712yes—
619C4C2×#120×C12711yescharacteristic
620C4#525×C12711yescharacteristic
621C2—22no—
622C2—22no—
623C2—41no—
624C2—44no—
625C2—81no—
626C2C4×#120×C12711yescharacteristic
627C2C2×#443×C12711yescharacteristic
628C2C127×#295511yescharacteristic
subgroupG/H
centerC2×C8×C127C2×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
socleC22×C127C2×C4×D4
prime radicalC127×#3002C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C8×C127 ◁ C23×C8×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×#131×C127C2semidirect
3. C2×#443×C127C2semidirect
4. C127×#2929C2semidirect
5. C127×#1876C2semidirect
6. C127×#1871C2semidirect
7. C127×#1866C2semidirect
8. C127×#1855C2semidirect
9. C127×#1789C2semidirect
10. C127×#1764C2semidirect
11. C8×C22⋊C4×C127C2semidirect
19. C2×#131×C127C22semidirect
25. #452×C127C4semidirect
26. #451×C127C4semidirect
27. #450×C127C4semidirect
28. #449×C127C4semidirect
29. #448×C127C4semidirect
30. #447×C127C4semidirect
36. C2×#108×C127C22semidirect
37. #424×C127C22semidirect
40. C2×#104×C127C22semidirect
42. #408×C127C22semidirect
45. #405×C127C22semidirect
46. C2×C4×C8×C127C22semidirect
48. #341×C127C22semidirect
49. #339×C127C22semidirect
50. #336×C127C22semidirect
75. #131×C127D4semidirect
293. C22×C127#443semidirect
306. #21466C127direct (N × H)
315. C22×#131C2×C127semidirect
317. C2×#443C2×C127semidirect
318. #2929C2×C127semidirect
319. #1876C2×C127semidirect
320. #1871C2×C127semidirect
321. #1866C2×C127semidirect
322. #1855C2×C127semidirect
323. #1789C2×C127semidirect
324. #1764C2×C127semidirect
325. C8×C22⋊C4C2×C127semidirect
326. C127#21466direct (N × H)
334. C2×#131C22×C127semidirect
340. #452C4×C127semidirect
341. #451C4×C127semidirect
342. #450C4×C127semidirect
343. #449C4×C127semidirect
344. #448C4×C127semidirect
345. #447C4×C127semidirect
351. C2×#108C22×C127semidirect
352. #424C22×C127semidirect
355. C2×#104C22×C127semidirect
357. #408C22×C127semidirect
360. #405C22×C127semidirect
361. C2×C4×C8C22×C127semidirect
363. #341C22×C127semidirect
364. #339C22×C127semidirect
365. #336C22×C127semidirect
390. #131D4×C127semidirect
608. C22#443×C127semidirect

Maximal subgroups

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

subgroupindex
C22×#131×C1272
C127×#30022
C2×#443×C1272
C127×#29292
C127×#18762
C127×#18712
C127×#18662
C127×#18552
C127×#17892
C127×#17642
C8×C22⋊C4×C1272
#21466127