Finite Group Databasebeta

← C127×#20983 #44584656

Subgroups — C127×#20983 #44584656

Order 32512.

1994 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#525×C127C211yesmaximal, characteristic
2C22×#117×C127C211yesmaximal, characteristic, complemented
3C2×#410×C127C212yesmaximal, complemented
4C127×#2280C211yesmaximal, characteristic, complemented
5C127×#1899C214yesmaximal, complemented
6C127×#1898C214yesmaximal, complemented
7C127×#1740C212yesmaximal, complemented
8C22×#41×C127C2211yescharacteristic
9C24×C4×C127C2211yescharacteristic
10#525×C127—21no—
11#525×C127—21no—
12#525×C127—21no—
13#525×C127—21no—
14#525×C127—22no—
15#525×C127—22no—
16C2×#123×C127C2212yes—
17C2×C22⋊Q8×C127C412yescomplemented
18C2×#121×C127C412yescomplemented
19C2×#120×C127C2212yes—
20C2×C4×D4×C127C414yescomplemented
21C2×#117×C127—21no—
22C2×#117×C127—21no—
23C2×#117×C127—28no—
24C2×#117×C127C2212yes—
25C2×#117×C127C2212yes—
26C2×#117×C127C2212yes—
27C2×#117×C127C2211yescharacteristic
28C22×C4⋊C4×C127—21no—
29C22×C22⋊C4×C127C2212yes—
30C22×C42×C127—21no—
31#410×C127—28no—
32C2×#99×C127C2218yes—
33#381×C127C2212yes—
34#380×C127—22no—
35#379×C127C2212yes—
36C4×C22⋊C4×C127—22no—
37#342×C127C2218yes—
38C25×C127C2311yescharacteristic
39C2×#41×C127—21no—
40C2×#41×C127—21no—
41C2×#41×C127—21no—
42C2×#41×C127—21no—
43C2×#41×C127—24no—
44C2×#41×C127—24no—
45C22×Q8×C127C2×C411yescharacteristic, complemented
46C22×D4×C127C2×C414yes—
47C22×D4×C127C2×C411yescharacteristic, complemented
48C22×D4×C127C2312yes—
49C23×C4×C127—24no—
50C23×C4×C127—24no—
51C23×C4×C127—22no—
52C23×C4×C127C2×C412yes—
53C23×C4×C127C2×C412yes—
54C23×C4×C127C2×C412yescomplemented
55C23×C4×C127D411yescharacteristic
56C23×C4×C127D411yescharacteristic
57C23×C4×C127D411yescharacteristic
58C23×C4×C127D411yescharacteristic
59C23×C4×C127D412yes—
60C23×C4×C127D412yes—
61C23×C4×C127C2311yescharacteristic
62C23×C4×C127C2311yescharacteristic
63#123×C127—24no—
64#123×C127—22no—
65#123×C127—22no—
66C22⋊Q8×C127—22no—
67C22⋊Q8×C127—22no—
68C22⋊Q8×C127—22no—
69C22⋊Q8×C127—22no—
70#121×C127—22no—
71#121×C127—22no—
72#121×C127—22no—
73#121×C127—22no—
74#120×C127—22no—
75#120×C127—24no—
76#120×C127—22no—
77C4×D4×C127—24no—
78C4×D4×C127—24no—
79C4×D4×C127—24no—
80C4×D4×C127—24no—
81#117×C127—28no—
82#117×C127—28no—
83#117×C127—24no—
84#117×C127—21no—
85#117×C127—21no—
86#117×C127—21no—
87#117×C127—21no—
88#117×C127—28no—
89#117×C127—24no—
90#117×C127—24no—
91#117×C127D418yescomplemented
92C2×C4⋊C4×C127—28no—
93C2×C4⋊C4×C127—22no—
94C2×C4⋊C4×C127—22no—
95C2×C4⋊C4×C127—22no—
96C2×C4⋊C4×C127C2×C412yescomplemented
97C2×C4⋊C4×C127C2×C414yescomplemented
98C2×C22⋊C4×C127—22no—
99C2×C22⋊C4×C127—28no—
100C2×C22⋊C4×C127—24no—
101C2×C22⋊C4×C127C2×C414yes—
102C2×C22⋊C4×C127C2×C414yescomplemented
103C2×C22⋊C4×C127C2314yes—
104C2×C22⋊C4×C127C2312yes—
105C2×C22⋊C4×C127C2314yes—
106C2×C42×C127—28no—
107C2×C42×C127—22no—
108C2×C42×C127—22no—
109C2×C42×C127—22no—
110C2×C42×C127C2×C412yescomplemented
111#99×C127—216no—
112#95×C127—24no—
113C24×C127—22no—
114C24×C127—22no—
115C24×C127—44no—
116C24×C127C22×C412yes—
117C24×C127C22×C412yes—
118C24×C127C2×D411yescharacteristic
119C24×C127C2×D412yes—
120C24×C127C2×D411yescharacteristic
121C24×C127C2411yescharacteristic
122#41×C127—42no—
123#41×C127—42no—
124#41×C127—44no—
125#41×C127—44no—
126#41×C127—42no—
127#41×C127—42no—
128C2×Q8×C127—21no—
129C2×Q8×C127—21no—
130C2×Q8×C127—24no—
131C2×D4×C127—24no—
132C2×D4×C127—24no—
133C2×D4×C127—24no—
134C2×D4×C127—22no—
135C2×D4×C127—22no—
136C2×D4×C127—24no—
137C2×D4×C127—21no—
138C2×D4×C127—21no—
139C2×D4×C127—24no—
140C2×D4×C127—48no—
141C22×C4×C127—22no—
142C22×C4×C127—22no—
143C22×C4×C127—28no—
144C22×C4×C127—28no—
145C22×C4×C127—22no—
146C22×C4×C127—22no—
147C22×C4×C127—22no—
148C22×C4×C127—22no—
149C22×C4×C127—28no—
150C22×C4×C127—28no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—22no—
154C22×C4×C127—22no—
155C22×C4×C127—28no—
156C22×C4×C127—24no—
157C22×C4×C127—22no—
158C22×C4×C127—22no—
159C22×C4×C127—28no—
160C22×C4×C127—24no—
161C22×C4×C127—48no—
162C22×C4×C127C22⋊C412yes—
163C22×C4×C127C22⋊C412yes—
164C22×C4×C127C22⋊C412yes—
165C22×C4×C127C22⋊C412yes—
166C22×C4×C127C22⋊C412yes—
167C22×C4×C127C22⋊C412yes—
168C22×C4×C127C22⋊C412yes—
169C22×C4×C127C22⋊C412yes—
170C22×C4×C127C22×C412yes—
171C22×C4×C127C22×C412yes—
172C22×C4×C127C22×C414yes—
173C22×C4×C127C22×C411yescharacteristic
174C22×C4×C127C22×C411yescharacteristic
175C22×C4×C127C2×D412yes—
176C22×C4×C127C2×D411yescharacteristic
177C22×C4×C127C2×D411yescharacteristic
178C22×C4×C127C2×D411yescharacteristic
179C22×C4×C127C2×D411yescharacteristic
180C22×C4×C127C2×D411yescharacteristic
181C22×C4×C127C2×D411yescharacteristic
182C22×C4×C127C2×D414yes—
183C22×C4×C127#4114yes—
184C4⋊C4×C127—28no—
185C4⋊C4×C127—22no—
186C4⋊C4×C127—22no—
187C4⋊C4×C127—24no—
188C4⋊C4×C127—24no—
189C4⋊C4×C127—28no—
190C4⋊C4×C127—44no—
191C22⋊C4×C127—28no—
192C22⋊C4×C127—24no—
193C22⋊C4×C127—24no—
194C22⋊C4×C127—24no—
195C22⋊C4×C127—22no—
196C22⋊C4×C127—22no—
197C22⋊C4×C127—24no—
198C22⋊C4×C127—24no—
199C22⋊C4×C127—24no—
200C22⋊C4×C127—24no—
201C22⋊C4×C127—48no—
202C22⋊C4×C127C2×D418yes—
203C42×C127—28no—
204C42×C127—22no—
205C42×C127—22no—
206C42×C127—28no—
207C42×C127—44no—
208C23×C127—21no—
209C23×C127—21no—
210C23×C127—24no—
211C23×C127—24no—
212C23×C127—21no—
213C23×C127—24no—
214C23×C127—21no—
215C23×C127—24no—
216C23×C127—24no—
217C23×C127—22no—
218C23×C127—24no—
219C23×C127—42no—
220C23×C127—42no—
221C23×C127—42no—
222C23×C127—42no—
223C23×C127—48no—
224C23×C127—48no—
225C23×C127—44no—
226C23×C127C2×C22⋊C412yes—
227C23×C127C2×C22⋊C412yes—
228C23×C127C23×C411yescharacteristic
229C23×C127C22×D411yescharacteristic
230C23×C127C22×D411yescharacteristic
231C23×C127C22×D412yes—
232C23×C127C2×#4112yes—
233Q8×C127—42no—
234Q8×C127—42no—
235D4×C127—48no—
236D4×C127—42no—
237D4×C127—44no—
238D4×C127—42no—
239D4×C127—48no—
240D4×C127—42no—
241D4×C127—42no—
242C2×C4×C127—24no—
243C2×C4×C127—21no—
244C2×C4×C127—21no—
245C2×C4×C127—24no—
246C2×C4×C127—21no—
247C2×C4×C127—21no—
248C2×C4×C127—24no—
249C2×C4×C127—24no—
250C2×C4×C127—24no—
251C2×C4×C127—24no—
252C2×C4×C127—24no—
253C2×C4×C127—24no—
254C2×C4×C127—24no—
255C2×C4×C127—24no—
256C2×C4×C127—24no—
257C2×C4×C127—22no—
258C2×C4×C127—24no—
259C2×C4×C127—28no—
260C2×C4×C127—416no—
261C2×C4×C127—48no—
262C2×C4×C127—44no—
263C2×C4×C127—44no—
264C2×C4×C127—44no—
265C2×C4×C127—48no—
266C2×C4×C127—44no—
267C2×C4×C127C2×C22⋊C412yes—
268C2×C4×C127C2×C22⋊C412yes—
269C2×C4×C127C2×C22⋊C411yescharacteristic
270C2×C4×C127C2×C22⋊C411yescharacteristic
271C2×C4×C127C2×C22⋊C411yescharacteristic
272C2×C4×C127C2×C22⋊C411yescharacteristic
273C2×C4×C127C4×D414yes—
274C2×C4×C127C4×D414yes—
275C2×C4×C127#12012yes—
276C2×C4×C127#12012yes—
277C2×C4×C127#12114yes—
278C2×C4×C127#12114yes—
279C2×C4×C127#12312yes—
280C2×C4×C127#12312yes—
281C22×C127—24no—
282C22×C127—24no—
283C22×C127—22no—
284C22×C127—22no—
285C22×C127—22no—
286C22×C127—22no—
287C22×C127—22no—
288C22×C127—22no—
289C22×C127—22no—
290C22×C127—22no—
291C22×C127—42no—
292C22×C127—42no—
293C22×C127—48no—
294C22×C127—48no—
295C22×C127—42no—
296C22×C127—42no—
297C22×C127—44no—
298C22×C127—42no—
299C22×C127—84no—
300C22×C127#41014yescomplemented
301C22×C127C22×C22⋊C411yescharacteristic
302C22×C127C2×C4×D412yes—
303C22×C127C2×#12011yescharacteristic
304C22×C127C2×#12112yes—
305C22×C127C2×#12311yescharacteristic
306C4×C127—22no—
307C4×C127—22no—
308C4×C127—48no—
309C4×C127—44no—
310C4×C127—42no—
311C4×C127—84no—
312C4×C127#38612yes—
313C4×C127#38612yes—
314C4×C127#38612yes—
315C4×C127#38612yes—
316#20983C12711yesmaximal, characteristic, direct product factor, Sylow
317C2×C127—21no—
318C2×C127—22no—
319C2×C127—21no—
320C2×C127—24no—
321C2×C127—22no—
322C2×C127—42no—
323C2×C127—82no—
324C2×C127C2×#38611yescharacteristic
325C2×C127C2×#41012yes—
326C2×#525C2×C12711yescharacteristic
327C22×#117C2×C12711yescharacteristic, complemented
328C2×#410C2×C12712yescomplemented
329#2280C2×C12711yescharacteristic, complemented
330#1899C2×C12714yescomplemented
331#1898C2×C12714yescomplemented
332#1740C2×C12712yescomplemented
333C127#2098311yescharacteristic, direct product factor, Sylow
334C22×#41C22×C12711yescharacteristic
335C24×C4C22×C12711yescharacteristic
336#525—21no—
337#525—21no—
338#525—21no—
339#525—22no—
340#525—22no—
341#525—21no—
342C2×#123C22×C12712yes—
343C2×C22⋊Q8C4×C12712yescomplemented
344C2×#121C4×C12712yescomplemented
345C2×#120C22×C12712yes—
346C2×C4×D4C4×C12714yescomplemented
347C2×#117—21no—
348C2×#117—21no—
349C2×#117—28no—
350C2×#117C22×C12712yes—
351C2×#117C22×C12712yes—
352C2×#117C22×C12712yes—
353C2×#117C22×C12711yescharacteristic
354C22×C4⋊C4—21no—
355C22×C22⋊C4C22×C12712yes—
356C22×C42—21no—
357#410—28no—
358C2×#99C22×C12718yes—
359#381C22×C12712yes—
360#380—22no—
361#379C22×C12712yes—
362C4×C22⋊C4—22no—
363#342C22×C12718yes—
364C25C23×C12711yescharacteristic
365C2×#41—21no—
366C2×#41—21no—
367C2×#41—21no—
368C2×#41—21no—
369C2×#41—24no—
370C2×#41—24no—
371C22×Q8C2×C4×C12711yescharacteristic, complemented
372C22×D4C2×C4×C12714yes—
373C22×D4C2×C4×C12711yescharacteristic, complemented
374C22×D4C23×C12712yes—
375C23×C4—24no—
376C23×C4—24no—
377C23×C4—22no—
378C23×C4C2×C4×C12712yes—
379C23×C4C2×C4×C12712yes—
380C23×C4C2×C4×C12712yescomplemented
381C23×C4D4×C12711yescharacteristic
382C23×C4D4×C12711yescharacteristic
383C23×C4D4×C12711yescharacteristic
384C23×C4D4×C12712yes—
385C23×C4D4×C12712yes—
386C23×C4D4×C12711yescharacteristic
387C23×C4C23×C12711yescharacteristic
388C23×C4C23×C12711yescharacteristic
389#123—24no—
390#123—22no—
391#123—22no—
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394C22⋊Q8—22no—
395C22⋊Q8—22no—
396#121—22no—
397#121—22no—
398#121—22no—
399#121—22no—
400#120—22no—
401#120—24no—
402#120—22no—
403C4×D4—24no—
404C4×D4—24no—
405C4×D4—24no—
406C4×D4—24no—
407#117—28no—
408#117—28no—
409#117—24no—
410#117—21no—
411#117—21no—
412#117—21no—
413#117—21no—
414#117—28no—
415#117—24no—
416#117—24no—
417#117D4×C12718yescomplemented
418C2×C4⋊C4—28no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4C2×C4×C12712yescomplemented
423C2×C4⋊C4C2×C4×C12714yescomplemented
424C2×C22⋊C4—22no—
425C2×C22⋊C4—28no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4C2×C4×C12714yes—
428C2×C22⋊C4C2×C4×C12714yescomplemented
429C2×C22⋊C4C23×C12714yes—
430C2×C22⋊C4C23×C12712yes—
431C2×C22⋊C4C23×C12714yes—
432C2×C42—28no—
433C2×C42—22no—
434C2×C42—22no—
435C2×C42—22no—
436C2×C42C2×C4×C12712yescomplemented
437#99—216no—
438#95—24no—
439C24—22no—
440C24—22no—
441C24—44no—
442C24C22×C4×C12712yes—
443C24C22×C4×C12712yes—
444C24C2×D4×C12711yescharacteristic
445C24C2×D4×C12712yes—
446C24C2×D4×C12711yescharacteristic
447C24C24×C12711yescharacteristic
448#41—42no—
449#41—42no—
450#41—44no—
451#41—44no—
452#41—42no—
453#41—42no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—24no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—24no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—24no—
466C2×D4—48no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—24no—
487C22×C4—48no—
488C22×C4C22⋊C4×C12712yes—
489C22×C4C22⋊C4×C12712yes—
490C22×C4C22⋊C4×C12712yes—
491C22×C4C22⋊C4×C12712yes—
492C22×C4C22⋊C4×C12712yes—
493C22×C4C22⋊C4×C12712yes—
494C22×C4C22⋊C4×C12712yes—
495C22×C4C22⋊C4×C12712yes—
496C22×C4C22×C4×C12712yes—
497C22×C4C22×C4×C12712yes—
498C22×C4C22×C4×C12714yes—
499C22×C4C22×C4×C12711yescharacteristic
500C22×C4C22×C4×C12711yescharacteristic
501C22×C4C2×D4×C12712yes—
502C22×C4C2×D4×C12711yescharacteristic
503C22×C4C2×D4×C12711yescharacteristic
504C22×C4C2×D4×C12711yescharacteristic
505C22×C4C2×D4×C12711yescharacteristic
506C22×C4C2×D4×C12711yescharacteristic
507C22×C4C2×D4×C12711yescharacteristic
508C22×C4C2×D4×C12714yes—
509C22×C4#41×C12714yes—
510C4⋊C4—28no—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—24no—
514C4⋊C4—24no—
515C4⋊C4—28no—
516C4⋊C4—44no—
517C22⋊C4—28no—
518C22⋊C4—24no—
519C22⋊C4—24no—
520C22⋊C4—24no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—24no—
526C22⋊C4—24no—
527C22⋊C4—48no—
528C22⋊C4C2×D4×C12718yes—
529C42—28no—
530C42—22no—
531C42—22no—
532C42—28no—
533C42—44no—
534C23—21no—
535C23—21no—
536C23—24no—
537C23—24no—
538C23—21no—
539C23—24no—
540C23—21no—
541C23—24no—
542C23—24no—
543C23—22no—
544C23—24no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—48no—
550C23—48no—
551C23—44no—
552C23C2×C22⋊C4×C12712yes—
553C23C2×C22⋊C4×C12712yes—
554C23C23×C4×C12711yescharacteristic
555C23C22×D4×C12711yescharacteristic
556C23C22×D4×C12711yescharacteristic
557C23C22×D4×C12712yes—
558C23C2×#41×C12712yes—
559Q8—42no—
560Q8—42no—
561D4—48no—
562D4—42no—
563D4—44no—
564D4—42no—
565D4—48no—
566D4—42no—
567D4—42no—
568C2×C4—24no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—24no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—28no—
586C2×C4—416no—
587C2×C4—48no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—44no—
591C2×C4—48no—
592C2×C4—44no—
593C2×C4C2×C22⋊C4×C12712yes—
594C2×C4C2×C22⋊C4×C12712yes—
595C2×C4C2×C22⋊C4×C12711yescharacteristic
596C2×C4C2×C22⋊C4×C12711yescharacteristic
597C2×C4C2×C22⋊C4×C12711yescharacteristic
598C2×C4C2×C22⋊C4×C12711yescharacteristic
599C2×C4C4×D4×C12714yes—
600C2×C4C4×D4×C12714yes—
601C2×C4#120×C12712yes—
602C2×C4#120×C12712yes—
603C2×C4#121×C12714yes—
604C2×C4#121×C12714yes—
605C2×C4#123×C12712yes—
606C2×C4#123×C12712yes—
607C22—24no—
608C22—24no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—42no—
618C22—42no—
619C22—48no—
620C22—48no—
621C22—42no—
622C22—42no—
623C22—44no—
624C22—42no—
625C22—84no—
626C22#410×C12714yescomplemented
627C22C22×C22⋊C4×C12711yescharacteristic
628C22C2×C4×D4×C12712yes—
629C22C2×#120×C12711yescharacteristic
630C22C2×#121×C12712yes—
631C22C2×#123×C12711yescharacteristic
632C4—22no—
633C4—22no—
634C4—48no—
635C4—44no—
636C4—42no—
637C4—84no—
638C4#386×C12712yes—
639C4#386×C12712yes—
640C4#386×C12712yes—
641C4#386×C12712yes—
642C2—21no—
643C2—22no—
644C2—21no—
645C2—24no—
646C2—22no—
647C2—42no—
648C2—82no—
649C2C2×#386×C12711yescharacteristic
650C2C2×#410×C12712yes—
subgroupG/H
centerC2×C4×C127C2×C22⋊C4
commutatorC23C23×C4×C127
Frattini, cosocleC24C24×C127
socleC22×C127C22×C22⋊C4
prime radicalC2×#525×C127C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C127 ◁ C24×C4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×#117×C127C2semidirect
3. C2×#410×C127C2semidirect
4. C127×#2280C2semidirect
5. C127×#1899C2semidirect
6. C127×#1898C2semidirect
7. C127×#1740C2semidirect
17. C2×C22⋊Q8×C127C4semidirect
18. C2×#121×C127C4semidirect
20. C2×C4×D4×C127C4semidirect
45. C22×Q8×C127C2×C4semidirect
47. C22×D4×C127C2×C4semidirect
54. C23×C4×C127C2×C4semidirect
91. #117×C127D4semidirect
96. C2×C4⋊C4×C127C2×C4semidirect
97. C2×C4⋊C4×C127C2×C4semidirect
102. C2×C22⋊C4×C127C2×C4semidirect
110. C2×C42×C127C2×C4semidirect
300. C22×C127#410semidirect
316. #20983C127direct (N × H)
327. C22×#117C2×C127semidirect
328. C2×#410C2×C127semidirect
329. #2280C2×C127semidirect
330. #1899C2×C127semidirect
331. #1898C2×C127semidirect
332. #1740C2×C127semidirect
333. C127#20983direct (N × H)
343. C2×C22⋊Q8C4×C127semidirect
344. C2×#121C4×C127semidirect
346. C2×C4×D4C4×C127semidirect
371. C22×Q8C2×C4×C127semidirect
373. C22×D4C2×C4×C127semidirect
380. C23×C4C2×C4×C127semidirect
417. #117D4×C127semidirect
422. C2×C4⋊C4C2×C4×C127semidirect
423. C2×C4⋊C4C2×C4×C127semidirect
428. C2×C22⋊C4C2×C4×C127semidirect
436. C2×C42C2×C4×C127semidirect
626. C22#410×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#525×C1272
C22×#117×C1272
C2×#410×C1272
C127×#22802
C127×#18992
C127×#18982
C127×#17402
#20983127