Finite Group Databasebeta

← C127×#15951 #44579624

Subgroups — C127×#15951 #44579624

Order 32512.

2462 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C127C212yesmaximal, complemented
2C2×#386×C127C212yesmaximal
3C2×#385×C127C212yesmaximal, complemented
4C127×#1446C211yesmaximal, characteristic, complemented
5C127×#1444C211yesmaximal, characteristic, complemented
6C127×#1441C212yesmaximal, complemented
7C127×#1439C212yesmaximal, complemented
8C127×#1439C212yesmaximal, complemented
9C127×#1438C211yesmaximal, characteristic
10C23×Q8×C127C2211yescharacteristic
11C23×D4×C127C2211yescharacteristic
12C24×C4×C127C2212yes—
13C2×C22⋊Q8×C127—28no—
14C2×C22⋊Q8×C127—28no—
15C2×C22⋊Q8×C127—28no—
16C22×C4⋊C4×C127C2212yes—
17C22×C4⋊C4×C127C2212yes—
18C22×C4⋊C4×C127C2211yescharacteristic
19C22×C4⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2212yes—
22C22×C22⋊C4×C127C2212yes—
23C22×C22⋊C4×C127C2212yes—
24C22×C22⋊C4×C127C2212yes—
25#386×C127—28no—
26#385×C127—28no—
27C2×#95×C127C2211yescharacteristic
28C2×#95×C127C2212yes—
29C2×#95×C127C2212yes—
30C2×#95×C127C2212yes—
31C2×#95×C127C2212yes—
32C2×#95×C127C2211yescharacteristic
33C2×#95×C127C2211yescharacteristic
34C2×#95×C127C2212yes—
35C2×#95×C127C2211yescharacteristic
36C25×C127C2312yes—
37C22×Q8×C127—24no—
38C22×Q8×C127—24no—
39C22×Q8×C127—41no—
40C22×Q8×C127—41no—
41C22×Q8×C127D414yescomplemented
42C22×D4×C127—24no—
43C22×D4×C127—24no—
44C22×D4×C127—41no—
45C22×D4×C127—41no—
46C22×D4×C127Q814yescomplemented
47C23×C4×C127—24no—
48C23×C4×C127—24no—
49C23×C4×C127—24no—
50C23×C4×C127—24no—
51C23×C4×C127—24no—
52C23×C4×C127—42no—
53C23×C4×C127—42no—
54C23×C4×C127C2312yes—
55C23×C4×C127C2311yescharacteristic
56C23×C4×C127C2312yes—
57C23×C4×C127C2312yes—
58C23×C4×C127C2312yes—
59C23×C4×C127C2311yescharacteristic
60C23×C4×C127C2311yescharacteristic
61C23×C4×C127C2312yes—
62C22⋊Q8×C127—264no—
63C2×C4⋊C4×C127—24no—
64C2×C4⋊C4×C127—24no—
65C2×C4⋊C4×C127—24no—
66C2×C4⋊C4×C127—24no—
67C2×C4⋊C4×C127—24no—
68C2×C4⋊C4×C127—24no—
69C2×C4⋊C4×C127—24no—
70C2×C4⋊C4×C127—24no—
71C2×C4⋊C4×C127—24no—
72C2×C4⋊C4×C127—41no—
73C2×C4⋊C4×C127D418yescomplemented
74C2×C22⋊C4×C127—24no—
75C2×C22⋊C4×C127—24no—
76C2×C22⋊C4×C127—24no—
77C2×C22⋊C4×C127—24no—
78C2×C22⋊C4×C127—24no—
79C2×C22⋊C4×C127—24no—
80C2×C22⋊C4×C127—24no—
81C2×C22⋊C4×C127—24no—
82C2×C22⋊C4×C127—24no—
83C2×C22⋊C4×C127—24no—
84C2×C22⋊C4×C127—24no—
85C2×C22⋊C4×C127—24no—
86C2×C22⋊C4×C127—42no—
87C2×C22⋊C4×C127—42no—
88C2×C22⋊C4×C127D418yes—
89#95×C127—24no—
90#95×C127—24no—
91#95×C127—24no—
92#95×C127—24no—
93#95×C127—22no—
94#95×C127—41no—
95#95×C127—42no—
96#95×C127—41no—
97#95×C127—41no—
98C24×C127—22no—
99C24×C127—22no—
100C24×C127—22no—
101C24×C127—22no—
102C24×C127—22no—
103C24×C127—22no—
104C24×C127—22no—
105C24×C127—22no—
106C24×C127—22no—
107C24×C127—22no—
108C24×C127—22no—
109C24×C127—22no—
110C24×C127C2×D414yes—
111C24×C127C2×Q814yes—
112C24×C127#4114yes—
113C24×C127C2411yescharacteristic
114C2×Q8×C127—216no—
115C2×Q8×C127—44no—
116C2×Q8×C127—44no—
117C2×Q8×C127—48no—
118C2×Q8×C127—44no—
119C2×D4×C127—216no—
120C2×D4×C127—44no—
121C2×D4×C127—44no—
122C2×D4×C127—48no—
123C2×D4×C127—44no—
124C22×C4×C127—22no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—22no—
128C22×C4×C127—216no—
129C22×C4×C127—22no—
130C22×C4×C127—22no—
131C22×C4×C127—22no—
132C22×C4×C127—22no—
133C22×C4×C127—22no—
134C22×C4×C127—22no—
135C22×C4×C127—22no—
136C22×C4×C127—22no—
137C22×C4×C127—22no—
138C22×C4×C127—22no—
139C22×C4×C127—22no—
140C22×C4×C127—22no—
141C22×C4×C127—22no—
142C22×C4×C127—22no—
143C22×C4×C127—22no—
144C22×C4×C127—22no—
145C22×C4×C127—22no—
146C22×C4×C127—22no—
147C22×C4×C127—22no—
148C22×C4×C127—22no—
149C22×C4×C127—21no—
150C22×C4×C127—21no—
151C22×C4×C127—21no—
152C22×C4×C127—21no—
153C22×C4×C127—21no—
154C22×C4×C127—22no—
155C22×C4×C127—22no—
156C22×C4×C127—22no—
157C22×C4×C127—21no—
158C22×C4×C127—22no—
159C22×C4×C127—22no—
160C22×C4×C127—22no—
161C22×C4×C127—22no—
162C22×C4×C127—22no—
163C22×C4×C127—22no—
164C22×C4×C127—22no—
165C22×C4×C127—22no—
166C22×C4×C127—48no—
167C22×C4×C127—48no—
168C22×C4×C127—48no—
169C22×C4×C127—48no—
170C22×C4×C127—48no—
171C22×C4×C127—48no—
172C22×C4×C127C2×D414yes—
173C22×C4×C127C2×D414yes—
174C22×C4×C127C2×D412yes—
175C22×C4×C127C2×D414yes—
176C22×C4×C127C2×D414yes—
177C22×C4×C127C2×D414yes—
178C22×C4×C127C2×D414yes—
179C22×C4×C127C2×Q812yes—
180C22×C4×C127#4112yes—
181C4⋊C4×C127—216no—
182C4⋊C4×C127—216no—
183C4⋊C4×C127—216no—
184C4⋊C4×C127—44no—
185C22⋊C4×C127—216no—
186C22⋊C4×C127—216no—
187C22⋊C4×C127—216no—
188C22⋊C4×C127—48no—
189C22⋊C4×C127—48no—
190C23×C127—24no—
191C23×C127—24no—
192C23×C127—24no—
193C23×C127—24no—
194C23×C127—24no—
195C23×C127—24no—
196C23×C127—24no—
197C23×C127—24no—
198C23×C127—24no—
199C23×C127—24no—
200C23×C127—24no—
201C23×C127—24no—
202C23×C127—24no—
203C23×C127—24no—
204C23×C127—24no—
205C23×C127—24no—
206C23×C127—24no—
207C23×C127—24no—
208C23×C127—42no—
209C23×C127—42no—
210C23×C127—42no—
211C23×C127—42no—
212C23×C127—42no—
213C23×C127—42no—
214C23×C127—42no—
215C23×C127—42no—
216C23×C127—42no—
217C23×C127—42no—
218C23×C127—42no—
219C23×C127—42no—
220C23×C127—42no—
221C23×C127—42no—
222C23×C127—42no—
223C23×C127—42no—
224C23×C127C22⋊Q818yescomplemented
225C23×C127C22×D411yescharacteristic
226C23×C127C22×D412yes—
227C23×C127C22×D412yes—
228C23×C127C22×Q811yescharacteristic
229C23×C127C2×#4112yes—
230C23×C127C2×#4111yescharacteristic
231C23×C127H(5,𝔽2)11yescharacteristic
232C23×C127H(5,𝔽2)11yescharacteristic
233C23×C127H(5,𝔽2)11yescharacteristic
234C23×C1272−1+411yescharacteristic
235C23×C1272−1+412yes—
236Q8×C127—416no—
237D4×C127—416no—
238C2×C4×C127—24no—
239C2×C4×C127—24no—
240C2×C4×C127—24no—
241C2×C4×C127—24no—
242C2×C4×C127—24no—
243C2×C4×C127—24no—
244C2×C4×C127—24no—
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—22no—
252C2×C4×C127—24no—
253C2×C4×C127—22no—
254C2×C4×C127—22no—
255C2×C4×C127—24no—
256C2×C4×C127—24no—
257C2×C4×C127—24no—
258C2×C4×C127—24no—
259C2×C4×C127—432no—
260C2×C4×C127—42no—
261C2×C4×C127—42no—
262C2×C4×C127—42no—
263C2×C4×C127—42no—
264C2×C4×C127—41no—
265C2×C4×C127—42no—
266C2×C4×C127—42no—
267C2×C4×C127—41no—
268C2×C4×C127—41no—
269C2×C4×C127—42no—
270C2×C4×C127—41no—
271C2×C4×C127—42no—
272C2×C4×C127—42no—
273C2×C4×C127—42no—
274C2×C4×C127—42no—
275C2×C4×C127—42no—
276C2×C4×C127—42no—
277C2×C4×C127—42no—
278C2×C4×C127—42no—
279C2×C4×C127—41no—
280C2×C4×C127—41no—
281C2×C4×C127—42no—
282C2×C4×C127—42no—
283C2×C4×C127—42no—
284C2×C4×C127—42no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127#12018yes—
289C22×C127—28no—
290C22×C127—28no—
291C22×C127—28no—
292C22×C127—44no—
293C22×C127—44no—
294C22×C127—44no—
295C22×C127—44no—
296C22×C127—44no—
297C22×C127—44no—
298C22×C127—44no—
299C22×C127—44no—
300C22×C127—44no—
301C22×C127—44no—
302C22×C127—44no—
303C22×C127—44no—
304C22×C127C2×#12012yes—
305C22×C127C2×C22⋊Q812yes—
306C22×C127#52512yes—
307C22×C127#53411yescharacteristic
308C22×C127#53612yes—
309C22×C127#53712yes—
310C22×C127#53911yescharacteristic
311C22×C127#53912yes—
312C22×C127#54311yescharacteristic
313C22×C127D4211yescharacteristic
314C22×C127D4212yes—
315C22×C127D4211yescharacteristic
316C22×C127#54612yes—
317C22×C127#54712yes—
318C22×C127#54812yes—
319C22×C127#54812yes—
320C22×C127D4×Q811yescharacteristic
321C22×C127D4×Q812yes—
322C22×C127#55011yescharacteristic
323C22×C127#55111yescharacteristic
324C22×C127#55411yescharacteristic
325C22×C127#56211yescharacteristic
326C22×C127#56311yescharacteristic
327C4×C127—28no—
328C4×C127—44no—
329C4×C127—42no—
330C4×C127—44no—
331C4×C127—44no—
332C4×C127—42no—
333C4×C127—42no—
334C4×C127—82no—
335#15951C12711yesmaximal, characteristic, direct product factor, Sylow
336C2×C127—48no—
337C2×C127#240311yescharacteristic
338C2×C127#240712yes—
339C2×C127#240912yes—
340C2×C127#243711yescharacteristic
341C2×C127#244912yes—
342C2×C127#246311yescharacteristic
343C2×C127#268011yescharacteristic
344C2×C127#268112yes—
345C2×C127#268311yescharacteristic
346C2×C127#272811yescharacteristic
347C2×C127#273211yescharacteristic
348C22×C22⋊Q8C2×C12712yescomplemented
349C2×#386C2×C12712yes—
350C2×#385C2×C12712yescomplemented
351#1446C2×C12711yescharacteristic, complemented
352#1444C2×C12711yescharacteristic, complemented
353#1441C2×C12712yescomplemented
354#1439C2×C12712yescomplemented
355#1439C2×C12712yescomplemented
356#1438C2×C12711yescharacteristic
357C127#1595111yescharacteristic, direct product factor, Sylow
358C23×Q8C22×C12711yescharacteristic
359C23×D4C22×C12711yescharacteristic
360C24×C4C22×C12712yes—
361C2×C22⋊Q8—28no—
362C2×C22⋊Q8—28no—
363C2×C22⋊Q8—28no—
364C22×C4⋊C4C22×C12712yes—
365C22×C4⋊C4C22×C12712yes—
366C22×C4⋊C4C22×C12711yescharacteristic
367C22×C4⋊C4C22×C12712yes—
368C22×C22⋊C4C22×C12712yes—
369C22×C22⋊C4C22×C12712yes—
370C22×C22⋊C4C22×C12712yes—
371C22×C22⋊C4C22×C12712yes—
372C22×C22⋊C4C22×C12712yes—
373#386—28no—
374#385—28no—
375C2×#95C22×C12711yescharacteristic
376C2×#95C22×C12712yes—
377C2×#95C22×C12712yes—
378C2×#95C22×C12712yes—
379C2×#95C22×C12712yes—
380C2×#95C22×C12711yescharacteristic
381C2×#95C22×C12711yescharacteristic
382C2×#95C22×C12712yes—
383C2×#95C22×C12711yescharacteristic
384C25C23×C12712yes—
385C22×Q8—24no—
386C22×Q8—24no—
387C22×Q8—41no—
388C22×Q8—41no—
389C22×Q8D4×C12714yescomplemented
390C22×D4—24no—
391C22×D4—24no—
392C22×D4—41no—
393C22×D4—41no—
394C22×D4Q8×C12714yescomplemented
395C23×C4—24no—
396C23×C4—24no—
397C23×C4—24no—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—42no—
401C23×C4—42no—
402C23×C4C23×C12712yes—
403C23×C4C23×C12711yescharacteristic
404C23×C4C23×C12712yes—
405C23×C4C23×C12712yes—
406C23×C4C23×C12712yes—
407C23×C4C23×C12711yescharacteristic
408C23×C4C23×C12711yescharacteristic
409C23×C4C23×C12712yes—
410C22⋊Q8—264no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—41no—
421C2×C4⋊C4D4×C12718yescomplemented
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4D4×C12718yes—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—22no—
442#95—41no—
443#95—42no—
444#95—41no—
445#95—41no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24C2×D4×C12714yes—
459C24C2×Q8×C12714yes—
460C24#41×C12714yes—
461C24C24×C12711yescharacteristic
462C2×Q8—216no—
463C2×Q8—44no—
464C2×Q8—44no—
465C2×Q8—48no—
466C2×Q8—44no—
467C2×D4—216no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—48no—
471C2×D4—44no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—216no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4C2×D4×C12714yes—
521C22×C4C2×D4×C12714yes—
522C22×C4C2×D4×C12712yes—
523C22×C4C2×D4×C12714yes—
524C22×C4C2×D4×C12714yes—
525C22×C4C2×D4×C12714yes—
526C22×C4C2×D4×C12714yes—
527C22×C4C2×Q8×C12712yes—
528C22×C4#41×C12712yes—
529C4⋊C4—216no—
530C4⋊C4—216no—
531C4⋊C4—216no—
532C4⋊C4—44no—
533C22⋊C4—216no—
534C22⋊C4—216no—
535C22⋊C4—216no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23C22⋊Q8×C12718yescomplemented
573C23C22×D4×C12711yescharacteristic
574C23C22×D4×C12712yes—
575C23C22×D4×C12712yes—
576C23C22×Q8×C12711yescharacteristic
577C23C2×#41×C12712yes—
578C23C2×#41×C12711yescharacteristic
579C23H(5,𝔽2)×C12711yescharacteristic
580C23H(5,𝔽2)×C12711yescharacteristic
581C23H(5,𝔽2)×C12711yescharacteristic
582C232−1+4×C12711yescharacteristic
583C232−1+4×C12712yes—
584Q8—416no—
585D4—416no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—432no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4#120×C12718yes—
637C22—28no—
638C22—28no—
639C22—28no—
640C22—44no—
641C22—44no—
642C22—44no—
643C22—44no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22C2×#120×C12712yes—
653C22C2×C22⋊Q8×C12712yes—
654C22#525×C12712yes—
655C22#534×C12711yescharacteristic
656C22#536×C12712yes—
657C22#537×C12712yes—
658C22#539×C12711yescharacteristic
659C22#539×C12712yes—
660C22#543×C12711yescharacteristic
661C22D42×C12711yescharacteristic
662C22D42×C12712yes—
663C22D42×C12711yescharacteristic
664C22#546×C12712yes—
665C22#547×C12712yes—
666C22#548×C12712yes—
667C22#548×C12712yes—
668C22D4×Q8×C12711yescharacteristic
669C22D4×Q8×C12712yes—
670C22#550×C12711yescharacteristic
671C22#551×C12711yescharacteristic
672C22#554×C12711yescharacteristic
673C22#562×C12711yescharacteristic
674C22#563×C12711yescharacteristic
675C4—28no—
676C4—44no—
677C4—42no—
678C4—44no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—82no—
683C2—48no—
684C2C127×#240311yescharacteristic
685C2C127×#240712yes—
686C2C127×#240912yes—
687C2C127×#243711yescharacteristic
688C2C127×#244912yes—
689C2C127×#246311yescharacteristic
690C2C127×#268011yescharacteristic
691C2C127×#268112yes—
692C2C127×#268311yescharacteristic
693C2C127×#272811yescharacteristic
694C2C127×#273211yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutator, Frattini, cosocleC24C24×C127
prime radicalC23×D4×C127C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C22⋊Q8×C127C2semidirect
3. C2×#385×C127C2semidirect
4. C127×#1446C2semidirect
5. C127×#1444C2semidirect
6. C127×#1441C2semidirect
7. C127×#1439C2semidirect
8. C127×#1439C2semidirect
41. C22×Q8×C127D4semidirect
46. C22×D4×C127Q8semidirect
73. C2×C4⋊C4×C127D4semidirect
224. C23×C127C22⋊Q8semidirect
335. #15951C127direct (N × H)
348. C22×C22⋊Q8C2×C127semidirect
350. C2×#385C2×C127semidirect
351. #1446C2×C127semidirect
352. #1444C2×C127semidirect
353. #1441C2×C127semidirect
354. #1439C2×C127semidirect
355. #1439C2×C127semidirect
357. C127#15951direct (N × H)
389. C22×Q8D4×C127semidirect
394. C22×D4Q8×C127semidirect
421. C2×C4⋊C4D4×C127semidirect
572. C23C22⋊Q8×C127semidirect

Maximal subgroups

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

subgroupindex
C22×C22⋊Q8×C1272
C2×#386×C1272
C2×#385×C1272
C127×#14462
C127×#14442
C127×#14412
C127×#14392
C127×#14382
#15951127