Finite Group Databasebeta

← C127×#20979 #44584652

Subgroups — C127×#20979 #44584652

Order 32512.

1954 conjugacy classes of subgroups.

The subgroup lattice has 646 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×#421×C127C212yesmaximal, complemented
4C2×#407×C127C211yesmaximal, characteristic, complemented
5C127×#1897C214yesmaximal, complemented
6C127×#1896C214yesmaximal, complemented
7C127×#1733C212yesmaximal, complemented
8C22×#41×C127C2211yescharacteristic
9C24×C4×C127C2211yescharacteristic
10C22×M16×C127C2212yes—
11#525×C127—21no—
12#525×C127—21no—
13#525×C127—22no—
14#525×C127C414yescomplemented
15#525×C127C2212yes—
16#525×C127C2212yes—
17C2×#123×C127—21no—
18C2×C22⋊Q8×C127C412yescomplemented
19C2×#121×C127C412yescomplemented
20C2×#120×C127—21no—
21C2×C4×D4×C127—22no—
22C2×#117×C127—21no—
23C2×#117×C127—21no—
24C2×#117×C127—28no—
25C2×#117×C127C2211yescharacteristic
26C2×#117×C127C2212yes—
27C2×#117×C127C2212yescomplemented
28C22×C4⋊C4×C127—21no—
29C22×C22⋊C4×C127—21no—
30C22×C42×C127C2212yescomplemented
31#421×C127—28no—
32C2×#104×C127C2218yescomplemented
33#407×C127—22no—
34#407×C127C2212yescomplemented
35#407×C127C2212yescomplemented
36C2×C22⋊C8×C127—22no—
37#339×C127C2218yescomplemented
38C25×C127D411yescharacteristic
39C2×#41×C127—21no—
40C2×#41×C127—21no—
41C2×#41×C127—24no—
42C2×#41×C127—24no—
43C2×#41×C127C2×C412yescomplemented
44C2×#41×C127C2312yes—
45C22×Q8×C127C2×C411yescharacteristic, complemented
46C22×D4×C127—22no—
47C22×D4×C127—21no—
48C22×D4×C127C2×C411yescharacteristic, complemented
49C23×C4×C127—24no—
50C23×C4×C127—24no—
51C23×C4×C127—22no—
52C23×C4×C127—21no—
53C23×C4×C127C2×C412yes—
54C23×C4×C127C2×C412yes—
55C23×C4×C127D411yescharacteristic
56C23×C4×C127D411yescharacteristic
57C23×C4×C127D411yescharacteristic
58C23×C4×C127D412yes—
59C23×C4×C127D412yes—
60C23×C4×C127C2311yescharacteristic
61C23×C4×C127C2311yescharacteristic
62C23×C4×C127C2311yescharacteristic
63C2×M16×C127—22no—
64C2×M16×C127—24no—
65C2×M16×C127—24no—
66C2×M16×C127C2314yes—
67C22×C8×C127—22no—
68#123×C127—24no—
69#123×C127—22no—
70#123×C127—22no—
71C22⋊Q8×C127—22no—
72C22⋊Q8×C127—22no—
73C22⋊Q8×C127C2×C414yes—
74C22⋊Q8×C127C2×C414yescomplemented
75#121×C127—22no—
76#121×C127—22no—
77#121×C127C2×C414yes—
78#121×C127C2×C414yescomplemented
79#120×C127—24no—
80#120×C127—22no—
81#120×C127—22no—
82C4×D4×C127—24no—
83C4×D4×C127—24no—
84C4×D4×C127—24no—
85C4×D4×C127—24no—
86#117×C127—28no—
87#117×C127—28no—
88#117×C127—24no—
89#117×C127—21no—
90#117×C127—21no—
91#117×C127—28no—
92#117×C127C2×C412yescomplemented
93#117×C127D418yescomplemented
94#117×C127C2312yes—
95C2×C4⋊C4×C127—28no—
96C2×C4⋊C4×C127—22no—
97C2×C4⋊C4×C127—22no—
98C2×C4⋊C4×C127—22no—
99C2×C4⋊C4×C127C2×C412yescomplemented
100C2×C22⋊C4×C127—28no—
101C2×C22⋊C4×C127—22no—
102C2×C22⋊C4×C127—22no—
103C2×C22⋊C4×C127—22no—
104C2×C22⋊C4×C127—21no—
105C2×C22⋊C4×C127—22no—
106C2×C42×C127—22no—
107C2×C42×C127—21no—
108C2×C42×C127—28no—
109C2×C42×C127C2314yes—
110#104×C127—216no—
111C22⋊C8×C127—24no—
112C22⋊C8×C127—24no—
113C24×C127—22no—
114C24×C127—22no—
115C24×C127—21no—
116C24×C127—44no—
117C24×C127C22⋊C412yes—
118C24×C127C22⋊C412yes—
119C24×C127C2×D411yescharacteristic
120C24×C127C2×D411yescharacteristic
121C24×C127C2×D411yescharacteristic
122#41×C127—28no—
123#41×C127—24no—
124#41×C127—24no—
125#41×C127—42no—
126#41×C127—44no—
127#41×C127—42no—
128C2×Q8×C127—21no—
129C2×Q8×C127—24no—
130C2×Q8×C127C22×C412yes—
131C2×D4×C127—24no—
132C2×D4×C127—24no—
133C2×D4×C127—22no—
134C2×D4×C127—22no—
135C2×D4×C127—21no—
136C2×D4×C127—24no—
137C2×D4×C127—48no—
138C2×D4×C127—42no—
139C2×D4×C127—42no—
140C2×D4×C127C22×C412yes—
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—28no—
148C22×C4×C127—28no—
149C22×C4×C127—22no—
150C22×C4×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—22no—
154C22×C4×C127—22no—
155C22×C4×C127—28no—
156C22×C4×C127—22no—
157C22×C4×C127—21no—
158C22×C4×C127—24no—
159C22×C4×C127—22no—
160C22×C4×C127—22no—
161C22×C4×C127—48no—
162C22×C4×C127—44no—
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×C411yescharacteristic
172C22×C4×C127C22×C411yescharacteristic
173C22×C4×C127C2×D411yescharacteristic
174C22×C4×C127C2×D411yescharacteristic
175C22×C4×C127C2×D412yes—
176C22×C4×C127C2×D412yes—
177C22×C4×C127C2×D411yescharacteristic
178C22×C4×C127C2×D411yescharacteristic
179C22×C4×C127C2×D411yescharacteristic
180C22×C4×C127C2×D414yes—
181C22×C4×C127#4114yes—
182C22×C4×C127C2411yescharacteristic
183M16×C127—24no—
184M16×C127—24no—
185M16×C127—44no—
186C2×C8×C127—24no—
187C2×C8×C127—44no—
188C4⋊C4×C127—28no—
189C4⋊C4×C127—24no—
190C4⋊C4×C127—24no—
191C4⋊C4×C127—22no—
192C4⋊C4×C127—28no—
193C4⋊C4×C127C22×C414yes—
194C22⋊C4×C127—28no—
195C22⋊C4×C127—22no—
196C22⋊C4×C127—24no—
197C22⋊C4×C127—24no—
198C22⋊C4×C127—28no—
199C22⋊C4×C127—22no—
200C22⋊C4×C127—24no—
201C22⋊C4×C127—24no—
202C42×C127—28no—
203C42×C127—22no—
204C42×C127—24no—
205C42×C127—22no—
206C42×C127C2×D418yescomplemented
207C23×C127—21no—
208C23×C127—21no—
209C23×C127—24no—
210C23×C127—21no—
211C23×C127—21no—
212C23×C127—24no—
213C23×C127—24no—
214C23×C127—24no—
215C23×C127—24no—
216C23×C127—22no—
217C23×C127—42no—
218C23×C127—42no—
219C23×C127—42no—
220C23×C127—42no—
221C23×C127—48no—
222C23×C127—48no—
223C23×C127—44no—
224C23×C127—42no—
225C23×C127C2×C22⋊C412yes—
226C23×C127C2×C22⋊C411yescharacteristic
227C23×C127C2×C22⋊C411yescharacteristic
228C23×C127C2×C22⋊C412yes—
229C23×C127#12012yes—
230C23×C127#12312yes—
231C23×C127C22×D411yescharacteristic
232Q8×C127—24no—
233Q8×C127—42no—
234D4×C127—24no—
235D4×C127—48no—
236D4×C127—42no—
237D4×C127—42no—
238D4×C127—44no—
239D4×C127—48no—
240D4×C127—42no—
241C2×C4×C127—21no—
242C2×C4×C127—21no—
243C2×C4×C127—21no—
244C2×C4×C127—21no—
245C2×C4×C127—24no—
246C2×C4×C127—24no—
247C2×C4×C127—24no—
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—22no—
257C2×C4×C127—28no—
258C2×C4×C127—416no—
259C2×C4×C127—48no—
260C2×C4×C127—44no—
261C2×C4×C127—42no—
262C2×C4×C127—44no—
263C2×C4×C127—44no—
264C2×C4×C127C2×C22⋊C412yes—
265C2×C4×C127C2×C22⋊C412yes—
266C2×C4×C127C2×C22⋊C411yescharacteristic
267C2×C4×C127C2×C22⋊C411yescharacteristic
268C2×C4×C127C4×D414yes—
269C2×C4×C127C4×D414yes—
270C2×C4×C127#12012yes—
271C2×C4×C127#12114yes—
272C2×C4×C127#12114yes—
273C2×C4×C127#12312yes—
274C2×C4×C127C23×C411yescharacteristic
275C2×C4×C127C22×D412yes—
276C2×C4×C127C22×D411yescharacteristic
277C2×C4×C127C2×#4112yes—
278C8×C127—44no—
279C22×C127—24no—
280C22×C127—24no—
281C22×C127—22no—
282C22×C127—22no—
283C22×C127—22no—
284C22×C127—22no—
285C22×C127—22no—
286C22×C127—22no—
287C22×C127—22no—
288C22×C127—22no—
289C22×C127—42no—
290C22×C127—42no—
291C22×C127—48no—
292C22×C127—48no—
293C22×C127—42no—
294C22×C127—42no—
295C22×C127—44no—
296C22×C127—42no—
297C22×C127—84no—
298C22×C127#38612yes—
299C22×C127#38612yes—
300C22×C127#42114yescomplemented
301C22×C127C22×C22⋊C411yescharacteristic
302C22×C127C2×#12011yescharacteristic
303C22×C127C2×#12311yescharacteristic
304C4×C127—22no—
305C4×C127—22no—
306C4×C127—48no—
307C4×C127—44no—
308C4×C127—42no—
309C4×C127#38612yes—
310C4×C127#38612yes—
311C4×C127C2×C4×D412yes—
312C4×C127C2×#12112yes—
313#20979C12711yesmaximal, characteristic, direct product factor, Sylow
314C2×C127—21no—
315C2×C127—21no—
316C2×C127—24no—
317C2×C127—22no—
318C2×C127—22no—
319C2×C127—42no—
320C2×C127—82no—
321C2×C127C2×#38611yescharacteristic
322C2×C127C2×#42112yes—
323C2×#525C2×C12711yescharacteristic
324C22×#117C2×C12711yescharacteristic, complemented
325C2×#421C2×C12712yescomplemented
326C2×#407C2×C12711yescharacteristic, complemented
327#1897C2×C12714yescomplemented
328#1896C2×C12714yescomplemented
329#1733C2×C12712yescomplemented
330C127#2097911yescharacteristic, direct product factor, Sylow
331C22×#41C22×C12711yescharacteristic
332C24×C4C22×C12711yescharacteristic
333C22×M16C22×C12712yes—
334#525—21no—
335#525—21no—
336#525—22no—
337#525C4×C12714yescomplemented
338#525C22×C12712yes—
339#525C22×C12712yes—
340C2×#123—21no—
341C2×C22⋊Q8C4×C12712yescomplemented
342C2×#121C4×C12712yescomplemented
343C2×#120—21no—
344C2×C4×D4—22no—
345C2×#117—21no—
346C2×#117—21no—
347C2×#117—28no—
348C2×#117C22×C12711yescharacteristic
349C2×#117C22×C12712yes—
350C2×#117C22×C12712yescomplemented
351C22×C4⋊C4—21no—
352C22×C22⋊C4—21no—
353C22×C42C22×C12712yescomplemented
354#421—28no—
355C2×#104C22×C12718yescomplemented
356#407—22no—
357#407C22×C12712yescomplemented
358#407C22×C12712yescomplemented
359C2×C22⋊C8—22no—
360#339C22×C12718yescomplemented
361C25D4×C12711yescharacteristic
362C2×#41—21no—
363C2×#41—21no—
364C2×#41—24no—
365C2×#41—24no—
366C2×#41C2×C4×C12712yescomplemented
367C2×#41C23×C12712yes—
368C22×Q8C2×C4×C12711yescharacteristic, complemented
369C22×D4—22no—
370C22×D4—21no—
371C22×D4C2×C4×C12711yescharacteristic, complemented
372C23×C4—24no—
373C23×C4—24no—
374C23×C4—22no—
375C23×C4—21no—
376C23×C4C2×C4×C12712yes—
377C23×C4C2×C4×C12712yes—
378C23×C4D4×C12711yescharacteristic
379C23×C4D4×C12711yescharacteristic
380C23×C4D4×C12711yescharacteristic
381C23×C4D4×C12712yes—
382C23×C4D4×C12712yes—
383C23×C4C23×C12711yescharacteristic
384C23×C4C23×C12711yescharacteristic
385C23×C4C23×C12711yescharacteristic
386C2×M16—22no—
387C2×M16—24no—
388C2×M16—24no—
389C2×M16C23×C12714yes—
390C22×C8—22no—
391#123—24no—
392#123—22no—
393#123—22no—
394C22⋊Q8—22no—
395C22⋊Q8—22no—
396C22⋊Q8C2×C4×C12714yes—
397C22⋊Q8C2×C4×C12714yescomplemented
398#121—22no—
399#121—22no—
400#121C2×C4×C12714yes—
401#121C2×C4×C12714yescomplemented
402#120—24no—
403#120—22no—
404#120—22no—
405C4×D4—24no—
406C4×D4—24no—
407C4×D4—24no—
408C4×D4—24no—
409#117—28no—
410#117—28no—
411#117—24no—
412#117—21no—
413#117—21no—
414#117—28no—
415#117C2×C4×C12712yescomplemented
416#117D4×C12718yescomplemented
417#117C23×C12712yes—
418C2×C4⋊C4—28no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4C2×C4×C12712yescomplemented
423C2×C22⋊C4—28no—
424C2×C22⋊C4—22no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—22no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42—28no—
432C2×C42C23×C12714yes—
433#104—216no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436C24—22no—
437C24—22no—
438C24—21no—
439C24—44no—
440C24C22⋊C4×C12712yes—
441C24C22⋊C4×C12712yes—
442C24C2×D4×C12711yescharacteristic
443C24C2×D4×C12711yescharacteristic
444C24C2×D4×C12711yescharacteristic
445#41—28no—
446#41—24no—
447#41—24no—
448#41—42no—
449#41—44no—
450#41—42no—
451C2×Q8—21no—
452C2×Q8—24no—
453C2×Q8C22×C4×C12712yes—
454C2×D4—24no—
455C2×D4—24no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—24no—
460C2×D4—48no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4C22×C4×C12712yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—28no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—48no—
485C22×C4—44no—
486C22×C4C22⋊C4×C12712yes—
487C22×C4C22⋊C4×C12712yes—
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×C12711yescharacteristic
495C22×C4C22×C4×C12711yescharacteristic
496C22×C4C2×D4×C12711yescharacteristic
497C22×C4C2×D4×C12711yescharacteristic
498C22×C4C2×D4×C12712yes—
499C22×C4C2×D4×C12712yes—
500C22×C4C2×D4×C12711yescharacteristic
501C22×C4C2×D4×C12711yescharacteristic
502C22×C4C2×D4×C12711yescharacteristic
503C22×C4C2×D4×C12714yes—
504C22×C4#41×C12714yes—
505C22×C4C24×C12711yescharacteristic
506M16—24no—
507M16—24no—
508M16—44no—
509C2×C8—24no—
510C2×C8—44no—
511C4⋊C4—28no—
512C4⋊C4—24no—
513C4⋊C4—24no—
514C4⋊C4—22no—
515C4⋊C4—28no—
516C4⋊C4C22×C4×C12714yes—
517C22⋊C4—28no—
518C22⋊C4—22no—
519C22⋊C4—24no—
520C22⋊C4—24no—
521C22⋊C4—28no—
522C22⋊C4—22no—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C42—28no—
526C42—22no—
527C42—24no—
528C42—22no—
529C42C2×D4×C12718yescomplemented
530C23—21no—
531C23—21no—
532C23—24no—
533C23—21no—
534C23—21no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—22no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—48no—
545C23—48no—
546C23—44no—
547C23—42no—
548C23C2×C22⋊C4×C12712yes—
549C23C2×C22⋊C4×C12711yescharacteristic
550C23C2×C22⋊C4×C12711yescharacteristic
551C23C2×C22⋊C4×C12712yes—
552C23#120×C12712yes—
553C23#123×C12712yes—
554C23C22×D4×C12711yescharacteristic
555Q8—24no—
556Q8—42no—
557D4—24no—
558D4—48no—
559D4—42no—
560D4—42no—
561D4—44no—
562D4—48no—
563D4—42no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—28no—
581C2×C4—416no—
582C2×C4—48no—
583C2×C4—44no—
584C2×C4—42no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4C2×C22⋊C4×C12712yes—
588C2×C4C2×C22⋊C4×C12712yes—
589C2×C4C2×C22⋊C4×C12711yescharacteristic
590C2×C4C2×C22⋊C4×C12711yescharacteristic
591C2×C4C4×D4×C12714yes—
592C2×C4C4×D4×C12714yes—
593C2×C4#120×C12712yes—
594C2×C4#121×C12714yes—
595C2×C4#121×C12714yes—
596C2×C4#123×C12712yes—
597C2×C4C23×C4×C12711yescharacteristic
598C2×C4C22×D4×C12712yes—
599C2×C4C22×D4×C12711yescharacteristic
600C2×C4C2×#41×C12712yes—
601C8—44no—
602C22—24no—
603C22—24no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—42no—
613C22—42no—
614C22—48no—
615C22—48no—
616C22—42no—
617C22—42no—
618C22—44no—
619C22—42no—
620C22—84no—
621C22#386×C12712yes—
622C22#386×C12712yes—
623C22#421×C12714yescomplemented
624C22C22×C22⋊C4×C12711yescharacteristic
625C22C2×#120×C12711yescharacteristic
626C22C2×#123×C12711yescharacteristic
627C4—22no—
628C4—22no—
629C4—48no—
630C4—44no—
631C4—42no—
632C4#386×C12712yes—
633C4#386×C12712yes—
634C4C2×C4×D4×C12712yes—
635C4C2×#121×C12712yes—
636C2—21no—
637C2—21no—
638C2—24no—
639C2—22no—
640C2—22no—
641C2—42no—
642C2—82no—
643C2C2×#386×C12711yescharacteristic
644C2C2×#421×C12712yes—
subgroupG/H
centerC2×C4×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
socleC22×C127C22×C22⋊C4
prime radicalC2×#525×C127C2
LCSG ▷ C2×C4 ▷ 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×#421×C127C2semidirect
4. C2×#407×C127C2semidirect
5. C127×#1897C2semidirect
6. C127×#1896C2semidirect
7. C127×#1733C2semidirect
14. #525×C127C4semidirect
18. C2×C22⋊Q8×C127C4semidirect
19. C2×#121×C127C4semidirect
27. C2×#117×C127C22semidirect
30. C22×C42×C127C22semidirect
32. C2×#104×C127C22semidirect
34. #407×C127C22semidirect
35. #407×C127C22semidirect
37. #339×C127C22semidirect
43. C2×#41×C127C2×C4semidirect
45. C22×Q8×C127C2×C4semidirect
48. C22×D4×C127C2×C4semidirect
74. C22⋊Q8×C127C2×C4semidirect
78. #121×C127C2×C4semidirect
92. #117×C127C2×C4semidirect
93. #117×C127D4semidirect
99. C2×C4⋊C4×C127C2×C4semidirect
206. C42×C127C2×D4semidirect
300. C22×C127#421semidirect
313. #20979C127direct (N × H)
324. C22×#117C2×C127semidirect
325. C2×#421C2×C127semidirect
326. C2×#407C2×C127semidirect
327. #1897C2×C127semidirect
328. #1896C2×C127semidirect
329. #1733C2×C127semidirect
330. C127#20979direct (N × H)
337. #525C4×C127semidirect
341. C2×C22⋊Q8C4×C127semidirect
342. C2×#121C4×C127semidirect
350. C2×#117C22×C127semidirect
353. C22×C42C22×C127semidirect
355. C2×#104C22×C127semidirect
357. #407C22×C127semidirect
358. #407C22×C127semidirect
360. #339C22×C127semidirect
366. C2×#41C2×C4×C127semidirect
368. C22×Q8C2×C4×C127semidirect
371. C22×D4C2×C4×C127semidirect
397. C22⋊Q8C2×C4×C127semidirect
401. #121C2×C4×C127semidirect
415. #117C2×C4×C127semidirect
416. #117D4×C127semidirect
422. C2×C4⋊C4C2×C4×C127semidirect
529. C42C2×D4×C127semidirect
623. C22#421×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×#421×C1272
C2×#407×C1272
C127×#18972
C127×#18962
C127×#17332
#20979127