Finite Group Databasebeta

← C127×#14763 #44578436

Subgroups — C127×#14763 #44578436

Order 32512.

1982 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C127C211yesmaximal, characteristic
2C2×#395×C127C211yesmaximal, characteristic, complemented
3C2×#389×C127C212yesmaximal, complemented
4C2×#385×C127C211yesmaximal, characteristic
5C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
6C127×#1446C211yesmaximal, characteristic, complemented
7C127×#1444C211yesmaximal, characteristic, complemented
8C127×#1441C211yesmaximal, characteristic, complemented
9C127×#1439C212yesmaximal
10C127×#1439C212yesmaximal
11C127×#1436C212yesmaximal, complemented
12C23×Q8×C127C2211yescharacteristic
13C24×C4×C127C2211yescharacteristic
14C2×C22⋊Q8×C127—24no—
15C2×C22⋊Q8×C127—28no—
16C22×C4⋊C4×C127C2211yescharacteristic
17C22×C4⋊C4×C127C2211yescharacteristic
18C22×C4⋊C4×C127C2212yes—
19C22×C4⋊C4×C127C2211yescharacteristic
20C22×C4⋊C4×C127C2212yes—
21C22×C4⋊C4×C127C2212yes—
22C22×C22⋊C4×C127C2212yes—
23C22×C22⋊C4×C127C2211yescharacteristic
24C22×C22⋊C4×C127C2212yes—
25C22×C22⋊C4×C127C2211yescharacteristic
26C22×C42×C127C2212yes—
27#395×C127—24no—
28#389×C127—28no—
29#385×C127—24no—
30C4×C22⋊C4×C127—24no—
31C2×#95×C127C2212yes—
32C2×#95×C127C2211yescharacteristic
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2212yes—
36C2×#95×C127C2212yes—
37C2×#95×C127C2211yescharacteristic
38C2×#95×C127C2211yescharacteristic
39C2×#95×C127C2212yes—
40C2×#95×C127C2211yescharacteristic
41C25×C127C2311yescharacteristic
42C22×Q8×C127—24no—
43C22×Q8×C127—22no—
44C22×Q8×C127—22no—
45C22×Q8×C127—22no—
46C22×Q8×C127—42no—
47C23×C4×C127—24no—
48C23×C4×C127—22no—
49C23×C4×C127—22no—
50C23×C4×C127—42no—
51C23×C4×C127D414yes—
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2311yescharacteristic
54C23×C4×C127C2312yes—
55C23×C4×C127C2312yes—
56C23×C4×C127C2312yes—
57C23×C4×C127C2311yescharacteristic
58C23×C4×C127C2311yescharacteristic
59C23×C4×C127C2311yescharacteristic
60C23×C4×C127C2311yescharacteristic
61C23×C4×C127C2312yes—
62C22⋊Q8×C127—232no—
63C2×C4⋊C4×C127—24no—
64C2×C4⋊C4×C127—22no—
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—22no—
71C2×C4⋊C4×C127—22no—
72C2×C4⋊C4×C127—24no—
73C2×C4⋊C4×C127—24no—
74C2×C4⋊C4×C127—24no—
75C2×C4⋊C4×C127—22no—
76C2×C4⋊C4×C127—22no—
77C2×C4⋊C4×C127—42no—
78C2×C4⋊C4×C127D418yes—
79C2×C22⋊C4×C127—24no—
80C2×C22⋊C4×C127—22no—
81C2×C22⋊C4×C127—24no—
82C2×C22⋊C4×C127—24no—
83C2×C22⋊C4×C127—24no—
84C2×C22⋊C4×C127—22no—
85C2×C22⋊C4×C127—22no—
86C2×C22⋊C4×C127—24no—
87C2×C22⋊C4×C127—22no—
88C2×C22⋊C4×C127—42no—
89C2×C22⋊C4×C127Q818yescomplemented
90C2×C42×C127—24no—
91C2×C42×C127—24no—
92C2×C42×C127—42no—
93#95×C127—22no—
94#95×C127—22no—
95#95×C127—22no—
96#95×C127—24no—
97#95×C127—24no—
98#95×C127—24no—
99#95×C127—24no—
100#95×C127—24no—
101#95×C127—42no—
102#95×C127D414yes—
103C24×C127—22no—
104C24×C127—21no—
105C24×C127—22no—
106C24×C127—21no—
107C24×C127—21no—
108C24×C127—21no—
109C24×C127—22no—
110C24×C127—21no—
111C24×C127—21no—
112C24×C127C2×D412yes—
113C24×C127C2×Q814yes—
114C24×C127C2411yescharacteristic
115C2×Q8×C127—28no—
116C2×Q8×C127—48no—
117C2×Q8×C127—48no—
118C2×Q8×C127—44no—
119C2×Q8×C127—44no—
120C22×C4×C127—21no—
121C22×C4×C127—22no—
122C22×C4×C127—22no—
123C22×C4×C127—22no—
124C22×C4×C127—21no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—22no—
128C22×C4×C127—22no—
129C22×C4×C127—22no—
130C22×C4×C127—21no—
131C22×C4×C127—22no—
132C22×C4×C127—21no—
133C22×C4×C127—21no—
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—21no—
145C22×C4×C127—21no—
146C22×C4×C127—22no—
147C22×C4×C127—22no—
148C22×C4×C127—22no—
149C22×C4×C127—21no—
150C22×C4×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—22no—
154C22×C4×C127—21no—
155C22×C4×C127—22no—
156C22×C4×C127—21no—
157C22×C4×C127—28no—
158C22×C4×C127—28no—
159C22×C4×C127—21no—
160C22×C4×C127—22no—
161C22×C4×C127—21no—
162C22×C4×C127—21no—
163C22×C4×C127—22no—
164C22×C4×C127—21no—
165C22×C4×C127—22no—
166C22×C4×C127—22no—
167C22×C4×C127—21no—
168C22×C4×C127—21no—
169C22×C4×C127—44no—
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×D412yes—
177C22×C4×C127C2×D412yes—
178C22×C4×C127C2×D414yes—
179C22×C4×C127C2×Q814yes—
180C22×C4×C127C2×Q814yes—
181C22×C4×C127#4112yes—
182C22×C4×C127#4112yes—
183C22×C4×C127#4112yes—
184C22×C4×C127#4114yes—
185C4⋊C4×C127—216no—
186C4⋊C4×C127—28no—
187C4⋊C4×C127—216no—
188C4⋊C4×C127—48no—
189C4⋊C4×C127—44no—
190C4⋊C4×C127—44no—
191C22⋊C4×C127—28no—
192C22⋊C4×C127—216no—
193C22⋊C4×C127—216no—
194C22⋊C4×C127—44no—
195C42×C127—48no—
196C23×C127—22no—
197C23×C127—22no—
198C23×C127—24no—
199C23×C127—22no—
200C23×C127—22no—
201C23×C127—24no—
202C23×C127—22no—
203C23×C127—22no—
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—41no—
215C23×C127—41no—
216C23×C127—41no—
217C23×C127—41no—
218C23×C127C4⋊Q814yes—
219C23×C127C22×D411yescharacteristic
220C23×C127C22×D412yes—
221C23×C127C22×D411yescharacteristic
222C23×C127C22×Q812yes—
223C23×C127C2×#4111yescharacteristic
224C23×C127C2×#4112yes—
225C23×C127C2×#4111yescharacteristic
226C23×C127C2×#4111yescharacteristic
227C23×C127H(5,𝔽2)12yes—
228C23×C1272−1+411yescharacteristic
229C23×C1272−1+411yescharacteristic
230Q8×C127—416no—
231C2×C4×C127—22no—
232C2×C4×C127—22no—
233C2×C4×C127—24no—
234C2×C4×C127—22no—
235C2×C4×C127—22no—
236C2×C4×C127—24no—
237C2×C4×C127—24no—
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—22no—
249C2×C4×C127—22no—
250C2×C4×C127—24no—
251C2×C4×C127—24no—
252C2×C4×C127—24no—
253C2×C4×C127—24no—
254C2×C4×C127—24no—
255C2×C4×C127—22no—
256C2×C4×C127—24no—
257C2×C4×C127—22no—
258C2×C4×C127—24no—
259C2×C4×C127—416no—
260C2×C4×C127—41no—
261C2×C4×C127—41no—
262C2×C4×C127—42no—
263C2×C4×C127—42no—
264C2×C4×C127—42no—
265C2×C4×C127—41no—
266C2×C4×C127—42no—
267C2×C4×C127—42no—
268C2×C4×C127—42no—
269C2×C4×C127—42no—
270C2×C4×C127—42no—
271C2×C4×C127—41no—
272C2×C4×C127—42no—
273C2×C4×C127—42no—
274C2×C4×C127—42no—
275C2×C4×C127—42no—
276C2×C4×C127—41no—
277C2×C4×C127—42no—
278C2×C4×C127—41no—
279C2×C4×C127—41no—
280C2×C4×C127—41no—
281C2×C4×C127—41no—
282C2×C4×C127—41no—
283C2×C4×C127—41no—
284C2×C4×C127—41no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127—42no—
289C2×C4×C127#12014yes—
290C2×C4×C127#12114yes—
291C2×C4×C127C22⋊Q818yescomplemented
292C22×C127—24no—
293C22×C127—24no—
294C22×C127—24no—
295C22×C127—42no—
296C22×C127—42no—
297C22×C127—42no—
298C22×C127—42no—
299C22×C127—44no—
300C22×C127—44no—
301C22×C127—44no—
302C22×C127—44no—
303C22×C127C2×#12011yescharacteristic
304C22×C127C2×#12111yescharacteristic
305C22×C127C2×C22⋊Q812yes—
306C22×C127#52511yescharacteristic
307C22×C127#52512yes—
308C22×C127C2×C4⋊Q811yescharacteristic
309C22×C127#53211yescharacteristic
310C22×C127#53212yes—
311C22×C127#53312yes—
312C22×C127#53411yescharacteristic
313C22×C127#53611yescharacteristic
314C22×C127#53912yes—
315C22×C127#54212yes—
316C22×C127D4212yes—
317C22×C127#54612yes—
318C22×C127#54711yescharacteristic
319C22×C127#54811yescharacteristic
320C22×C127D4×Q812yes—
321C22×C127D4×Q812yes—
322C22×C127#55211yescharacteristic
323C22×C127#55412yes—
324C22×C127#55412yes—
325C22×C127#55611yescharacteristic
326C4×C127—24no—
327C4×C127—24no—
328C4×C127—28no—
329C4×C127—44no—
330C4×C127—42no—
331C4×C127—44no—
332C4×C127—42no—
333C4×C127—44no—
334C4×C127—81no—
335C4×C127—81no—
336#14763C12711yesmaximal, characteristic, direct product factor, Sylow
337C2×C127—44no—
338C2×C127#238811yescharacteristic
339C2×C127#241011yescharacteristic
340C2×C127#241511yescharacteristic
341C2×C127#243411yescharacteristic
342C2×C127#244912yes—
343C2×C127#245212yes—
344C2×C127#246512yes—
345C2×C127#255612yes—
346C2×C127#258311yescharacteristic
347C2×C127#266311yescharacteristic
348C2×C127#285711yescharacteristic
349C22×C22⋊Q8C2×C12711yescharacteristic
350C2×#395C2×C12711yescharacteristic, complemented
351C2×#389C2×C12712yescomplemented
352C2×#385C2×C12711yescharacteristic
353C2×C4×C22⋊C4C2×C12711yescharacteristic
354#1446C2×C12711yescharacteristic, complemented
355#1444C2×C12711yescharacteristic, complemented
356#1441C2×C12711yescharacteristic, complemented
357#1439C2×C12712yes—
358#1439C2×C12712yes—
359#1436C2×C12712yescomplemented
360C127#1476311yescharacteristic, direct product factor, Sylow
361C23×Q8C22×C12711yescharacteristic
362C24×C4C22×C12711yescharacteristic
363C2×C22⋊Q8—24no—
364C2×C22⋊Q8—28no—
365C22×C4⋊C4C22×C12711yescharacteristic
366C22×C4⋊C4C22×C12711yescharacteristic
367C22×C4⋊C4C22×C12712yes—
368C22×C4⋊C4C22×C12711yescharacteristic
369C22×C4⋊C4C22×C12712yes—
370C22×C4⋊C4C22×C12712yes—
371C22×C22⋊C4C22×C12712yes—
372C22×C22⋊C4C22×C12711yescharacteristic
373C22×C22⋊C4C22×C12712yes—
374C22×C22⋊C4C22×C12711yescharacteristic
375C22×C42C22×C12712yes—
376#395—24no—
377#389—28no—
378#385—24no—
379C4×C22⋊C4—24no—
380C2×#95C22×C12712yes—
381C2×#95C22×C12711yescharacteristic
382C2×#95C22×C12712yes—
383C2×#95C22×C12712yes—
384C2×#95C22×C12712yes—
385C2×#95C22×C12712yes—
386C2×#95C22×C12711yescharacteristic
387C2×#95C22×C12711yescharacteristic
388C2×#95C22×C12712yes—
389C2×#95C22×C12711yescharacteristic
390C25C23×C12711yescharacteristic
391C22×Q8—24no—
392C22×Q8—22no—
393C22×Q8—22no—
394C22×Q8—22no—
395C22×Q8—42no—
396C23×C4—24no—
397C23×C4—22no—
398C23×C4—22no—
399C23×C4—42no—
400C23×C4D4×C12714yes—
401C23×C4C23×C12711yescharacteristic
402C23×C4C23×C12711yescharacteristic
403C23×C4C23×C12712yes—
404C23×C4C23×C12712yes—
405C23×C4C23×C12712yes—
406C23×C4C23×C12711yescharacteristic
407C23×C4C23×C12711yescharacteristic
408C23×C4C23×C12711yescharacteristic
409C23×C4C23×C12711yescharacteristic
410C23×C4C23×C12712yes—
411C22⋊Q8—232no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—24no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—24no—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4D4×C12718yes—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4Q8×C12718yescomplemented
439C2×C42—24no—
440C2×C42—24no—
441C2×C42—42no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—24no—
449#95—24no—
450#95—42no—
451#95D4×C12714yes—
452C24—22no—
453C24—21no—
454C24—22no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—22no—
459C24—21no—
460C24—21no—
461C24C2×D4×C12712yes—
462C24C2×Q8×C12714yes—
463C24C24×C12711yescharacteristic
464C2×Q8—28no—
465C2×Q8—48no—
466C2×Q8—48no—
467C2×Q8—44no—
468C2×Q8—44no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
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—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—28no—
507C22×C4—28no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4C2×D4×C12714yes—
522C22×C4C2×D4×C12714yes—
523C22×C4C2×D4×C12712yes—
524C22×C4C2×D4×C12714yes—
525C22×C4C2×D4×C12712yes—
526C22×C4C2×D4×C12712yes—
527C22×C4C2×D4×C12714yes—
528C22×C4C2×Q8×C12714yes—
529C22×C4C2×Q8×C12714yes—
530C22×C4#41×C12712yes—
531C22×C4#41×C12712yes—
532C22×C4#41×C12712yes—
533C22×C4#41×C12714yes—
534C4⋊C4—216no—
535C4⋊C4—28no—
536C4⋊C4—216no—
537C4⋊C4—48no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C22⋊C4—28no—
541C22⋊C4—216no—
542C22⋊C4—216no—
543C22⋊C4—44no—
544C42—48no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—22no—
549C23—22no—
550C23—24no—
551C23—22no—
552C23—22no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C4⋊Q8×C12714yes—
568C23C22×D4×C12711yescharacteristic
569C23C22×D4×C12712yes—
570C23C22×D4×C12711yescharacteristic
571C23C22×Q8×C12712yes—
572C23C2×#41×C12711yescharacteristic
573C23C2×#41×C12712yes—
574C23C2×#41×C12711yescharacteristic
575C23C2×#41×C12711yescharacteristic
576C23H(5,𝔽2)×C12712yes—
577C232−1+4×C12711yescharacteristic
578C232−1+4×C12711yescharacteristic
579Q8—416no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—24no—
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—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—416no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4#120×C12714yes—
639C2×C4#121×C12714yes—
640C2×C4C22⋊Q8×C12718yescomplemented
641C22—24no—
642C22—24no—
643C22—24no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22C2×#120×C12711yescharacteristic
653C22C2×#121×C12711yescharacteristic
654C22C2×C22⋊Q8×C12712yes—
655C22#525×C12711yescharacteristic
656C22#525×C12712yes—
657C22C2×C4⋊Q8×C12711yescharacteristic
658C22#532×C12711yescharacteristic
659C22#532×C12712yes—
660C22#533×C12712yes—
661C22#534×C12711yescharacteristic
662C22#536×C12711yescharacteristic
663C22#539×C12712yes—
664C22#542×C12712yes—
665C22D42×C12712yes—
666C22#546×C12712yes—
667C22#547×C12711yescharacteristic
668C22#548×C12711yescharacteristic
669C22D4×Q8×C12712yes—
670C22D4×Q8×C12712yes—
671C22#552×C12711yescharacteristic
672C22#554×C12712yes—
673C22#554×C12712yes—
674C22#556×C12711yescharacteristic
675C4—24no—
676C4—24no—
677C4—28no—
678C4—44no—
679C4—42no—
680C4—44no—
681C4—42no—
682C4—44no—
683C4—81no—
684C4—81no—
685C2—44no—
686C2C127×#238811yescharacteristic
687C2C127×#241011yescharacteristic
688C2C127×#241511yescharacteristic
689C2C127×#243411yescharacteristic
690C2C127×#244912yes—
691C2C127×#245212yes—
692C2C127×#246512yes—
693C2C127×#255612yes—
694C2C127×#258311yescharacteristic
695C2C127×#266311yescharacteristic
696C2C127×#285711yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutator, Frattini, cosocleC24C24×C127
prime radicalC25×C127C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#395×C127C2semidirect
3. C2×#389×C127C2semidirect
6. C127×#1446C2semidirect
7. C127×#1444C2semidirect
8. C127×#1441C2semidirect
11. C127×#1436C2semidirect
89. C2×C22⋊C4×C127Q8semidirect
291. C2×C4×C127C22⋊Q8semidirect
336. #14763C127direct (N × H)
350. C2×#395C2×C127semidirect
351. C2×#389C2×C127semidirect
354. #1446C2×C127semidirect
355. #1444C2×C127semidirect
356. #1441C2×C127semidirect
359. #1436C2×C127semidirect
360. C127#14763direct (N × H)
438. C2×C22⋊C4Q8×C127semidirect
640. C2×C4C22⋊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×#395×C1272
C2×#389×C1272
C2×#385×C1272
C2×C4×C22⋊C4×C1272
C127×#14462
C127×#14442
C127×#14412
C127×#14392
C127×#14362
#14763127