Finite Group Databasebeta

← C127×#14172 #44577845

Subgroups — C127×#14172 #44577845

Order 32512.

2062 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Q8×C127C211yesmaximal, characteristic, complemented
2C2×#393×C127C211yesmaximal, characteristic
3C2×#385×C127C212yesmaximal
4C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
5C127×#1446C211yesmaximal, characteristic, complemented
6C127×#1444C211yesmaximal, characteristic, complemented
7C127×#1439C211yesmaximal, characteristic
8C127×#1437C212yesmaximal
9C127×#1436C212yesmaximal, complemented
10C127×#1436C212yesmaximal, complemented
11C127×#1434C211yesmaximal, characteristic, complemented
12C23×Q8×C127C2211yescharacteristic
13C24×C4×C127C2211yescharacteristic
14C2×C4×Q8×C127—28no—
15C2×C4×Q8×C127—24no—
16C22×C4⋊C4×C127C2211yescharacteristic
17C22×C4⋊C4×C127C2212yes—
18C22×C4⋊C4×C127C2212yes—
19C22×C22⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2211yescharacteristic
22C22×C22⋊C4×C127C2211yescharacteristic
23C22×C42×C127C2212yes—
24C22×C42×C127C2211yescharacteristic
25C22×C42×C127C2211yescharacteristic
26#393×C127C418yescomplemented
27#385×C127—28no—
28C4×C22⋊C4×C127—24no—
29C2×#95×C127C2212yes—
30C2×#95×C127C2212yes—
31C2×#95×C127C2211yescharacteristic
32C2×#95×C127C2211yescharacteristic
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2211yescharacteristic
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C2×#95×C127C2211yescharacteristic
39C2×#95×C127C2212yes—
40C25×C127C2311yescharacteristic
41C22×Q8×C127—24no—
42C22×Q8×C127—22no—
43C22×Q8×C127—22no—
44C22×Q8×C127—24no—
45C22×Q8×C127C2×C414yescomplemented
46C23×C4×C127—22no—
47C23×C4×C127—22no—
48C23×C4×C127—22no—
49C23×C4×C127—24no—
50C23×C4×C127—42no—
51C23×C4×C127C2312yes—
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2312yes—
54C23×C4×C127C2312yes—
55C23×C4×C127C2311yescharacteristic
56C23×C4×C127C2311yescharacteristic
57C23×C4×C127C2312yes—
58C23×C4×C127C2311yescharacteristic
59C23×C4×C127C2311yescharacteristic
60C23×C4×C127C2311yescharacteristic
61C4×Q8×C127—232no—
62C2×C4⋊C4×C127—24no—
63C2×C4⋊C4×C127—22no—
64C2×C4⋊C4×C127—24no—
65C2×C4⋊C4×C127—24no—
66C2×C4⋊C4×C127—24no—
67C2×C4⋊C4×C127—24no—
68C2×C4⋊C4×C127—42no—
69C2×C4⋊C4×C127D418yes—
70C2×C22⋊C4×C127—22no—
71C2×C22⋊C4×C127—22no—
72C2×C22⋊C4×C127—24no—
73C2×C22⋊C4×C127—24no—
74C2×C22⋊C4×C127—22no—
75C2×C22⋊C4×C127—22no—
76C2×C22⋊C4×C127—24no—
77C2×C22⋊C4×C127—24no—
78C2×C22⋊C4×C127—42no—
79C2×C22⋊C4×C127C2×C418yes—
80C2×C22⋊C4×C127C2×C414yes—
81C2×C22⋊C4×C127Q814yescomplemented
82C2×C42×C127—24no—
83C2×C42×C127—24no—
84C2×C42×C127—24no—
85C2×C42×C127—24no—
86C2×C42×C127—22no—
87C2×C42×C127—42no—
88C2×C42×C127D414yes—
89#95×C127—22no—
90#95×C127—22no—
91#95×C127—24no—
92#95×C127—24no—
93#95×C127—24no—
94#95×C127—24no—
95#95×C127—22no—
96#95×C127—42no—
97#95×C127—42no—
98#95×C127C2×C414yescomplemented
99#95×C127C2×C418yescomplemented
100C24×C127—21no—
101C24×C127—22no—
102C24×C127—21no—
103C24×C127—22no—
104C24×C127—21no—
105C24×C127—21no—
106C24×C127—22no—
107C24×C127—22no—
108C24×C127C22×C412yes—
109C24×C127C2×Q812yes—
110C24×C127#4112yes—
111C24×C127C2411yescharacteristic
112C2×Q8×C127—28no—
113C2×Q8×C127—28no—
114C2×Q8×C127—216no—
115C2×Q8×C127—28no—
116C2×Q8×C127—216no—
117C22×C4×C127—22no—
118C22×C4×C127—22no—
119C22×C4×C127—22no—
120C22×C4×C127—22no—
121C22×C4×C127—21no—
122C22×C4×C127—21no—
123C22×C4×C127—22no—
124C22×C4×C127—22no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—22no—
128C22×C4×C127—28no—
129C22×C4×C127—21no—
130C22×C4×C127—21no—
131C22×C4×C127—21no—
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—21no—
139C22×C4×C127—22no—
140C22×C4×C127—21no—
141C22×C4×C127—22no—
142C22×C4×C127—22no—
143C22×C4×C127—22no—
144C22×C4×C127—21no—
145C22×C4×C127—22no—
146C22×C4×C127—22no—
147C22×C4×C127—22no—
148C22×C4×C127—22no—
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—22no—
156C22×C4×C127—22no—
157C22×C4×C127—22no—
158C22×C4×C127—22no—
159C22×C4×C127—22no—
160C22×C4×C127—48no—
161C22×C4×C127—48no—
162C22×C4×C127—44no—
163C22×C4×C127—44no—
164C22×C4×C127C22×C414yes—
165C22×C4×C127C22×C412yes—
166C22×C4×C127C22×C414yes—
167C22×C4×C127C22×C412yes—
168C22×C4×C127C2×D414yes—
169C22×C4×C127C2×D414yes—
170C22×C4×C127C2×D412yes—
171C22×C4×C127C2×D414yes—
172C22×C4×C127C2×D412yes—
173C22×C4×C127C2×D412yes—
174C22×C4×C127C2×Q812yes—
175C22×C4×C127C2×Q812yes—
176C22×C4×C127#4112yes—
177C22×C4×C127#4112yes—
178C22×C4×C127#4114yes—
179C22×C4×C127#4112yes—
180C4⋊C4×C127—28no—
181C4⋊C4×C127—216no—
182C4⋊C4×C127—48no—
183C22⋊C4×C127—28no—
184C22⋊C4×C127—216no—
185C22⋊C4×C127—28no—
186C22⋊C4×C127—48no—
187C42×C127—216no—
188C42×C127—28no—
189C42×C127—44no—
190C23×C127—24no—
191C23×C127—22no—
192C23×C127—22no—
193C23×C127—24no—
194C23×C127—22no—
195C23×C127—22no—
196C23×C127—22no—
197C23×C127—22no—
198C23×C127—24no—
199C23×C127—24no—
200C23×C127—24no—
201C23×C127—24no—
202C23×C127—41no—
203C23×C127—41no—
204C23×C127—42no—
205C23×C127—41no—
206C23×C127—41no—
207C23×C127—42no—
208C23×C127—42no—
209C23×C127—42no—
210C23×C127—42no—
211C23×C127—42no—
212C23×C127C4×Q814yescomplemented
213C23×C127C23×C411yescharacteristic
214C23×C127C22×D411yescharacteristic
215C23×C127C22×D412yes—
216C23×C127C22×Q811yescharacteristic
217C23×C127C2×#4111yescharacteristic
218C23×C127C2×#4112yes—
219C23×C127C2×#4111yescharacteristic
220C23×C127C2×#4111yescharacteristic
221C23×C127C2×#4111yescharacteristic
222C23×C127H(5,𝔽2)12yes—
223C23×C1272−1+412yes—
224Q8×C127—232no—
225C2×C4×C127—24no—
226C2×C4×C127—24no—
227C2×C4×C127—24no—
228C2×C4×C127—22no—
229C2×C4×C127—24no—
230C2×C4×C127—22no—
231C2×C4×C127—22no—
232C2×C4×C127—22no—
233C2×C4×C127—24no—
234C2×C4×C127—24no—
235C2×C4×C127—24no—
236C2×C4×C127—24no—
237C2×C4×C127—22no—
238C2×C4×C127—22no—
239C2×C4×C127—24no—
240C2×C4×C127—24no—
241C2×C4×C127—24no—
242C2×C4×C127—24no—
243C2×C4×C127—22no—
244C2×C4×C127—24no—
245C2×C4×C127—24no—
246C2×C4×C127—24no—
247C2×C4×C127—24no—
248C2×C4×C127—24no—
249C2×C4×C127—22no—
250C2×C4×C127—22no—
251C2×C4×C127—24no—
252C2×C4×C127—24no—
253C2×C4×C127—24no—
254C2×C4×C127—24no—
255C2×C4×C127—416no—
256C2×C4×C127—41no—
257C2×C4×C127—41no—
258C2×C4×C127—42no—
259C2×C4×C127—41no—
260C2×C4×C127—41no—
261C2×C4×C127—42no—
262C2×C4×C127—41no—
263C2×C4×C127—41no—
264C2×C4×C127—42no—
265C2×C4×C127—42no—
266C2×C4×C127—42no—
267C2×C4×C127—42no—
268C2×C4×C127—42no—
269C2×C4×C127—42no—
270C2×C4×C127—42no—
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—42no—
280C2×C4×C127C4×D414yes—
281C2×C4×C127C4×D418yes—
282C2×C4×C127#12014yes—
283C2×C4×C127C22⋊Q814yes—
284C22×C127—28no—
285C22×C127—24no—
286C22×C127—42no—
287C22×C127—42no—
288C22×C127—42no—
289C22×C127—44no—
290C22×C127—42no—
291C22×C127—42no—
292C22×C127—44no—
293C22×C127—44no—
294C22×C127—42no—
295C22×C127C2×C4×D411yescharacteristic
296C22×C127C2×C4×D412yes—
297C22×C127C2×C4×Q811yescharacteristic
298C22×C127C4×#4111yescharacteristic
299C22×C127#52012yes—
300C22×C127C2×#12011yescharacteristic
301C22×C127C2×C22⋊Q811yescharacteristic
302C22×C127#52511yescharacteristic
303C22×C127#52511yescharacteristic
304C22×C127#52512yes—
305C22×C127#52911yescharacteristic
306C22×C127#53311yescharacteristic
307C22×C127#53511yescharacteristic
308C22×C127#53611yescharacteristic
309C22×C127#54212yes—
310C22×C127#54612yes—
311C22×C127#54612yes—
312C22×C127#54812yes—
313C22×C127D4×Q812yes—
314C22×C127#55212yes—
315C22×C127#55412yes—
316C22×C127#55612yes—
317C22×C127#55912yes—
318C4×C127—24no—
319C4×C127—24no—
320C4×C127—28no—
321C4×C127—24no—
322C4×C127—42no—
323C4×C127—42no—
324C4×C127—44no—
325C4×C127—44no—
326C4×C127—42no—
327C4×C127—82no—
328#14172C12711yesmaximal, characteristic, direct product factor, Sylow
329C2×C127—44no—
330C2×C127C4×#12011yescharacteristic
331C2×C127C4×C22⋊Q811yescharacteristic
332C2×C127#232611yescharacteristic
333C2×C127#236012yes—
334C2×C127#236712yes—
335C2×C127#240411yescharacteristic
336C2×C127#240911yescharacteristic
337C2×C127#245812yes—
338C2×C127#246512yes—
339C2×C127#258011yescharacteristic
340C2×C127#259911yescharacteristic
341C22×C4×Q8C2×C12711yescharacteristic, complemented
342C2×#393C2×C12711yescharacteristic
343C2×#385C2×C12712yes—
344C2×C4×C22⋊C4C2×C12711yescharacteristic
345#1446C2×C12711yescharacteristic, complemented
346#1444C2×C12711yescharacteristic, complemented
347#1439C2×C12711yescharacteristic
348#1437C2×C12712yes—
349#1436C2×C12712yescomplemented
350#1436C2×C12712yescomplemented
351#1434C2×C12711yescharacteristic, complemented
352C127#1417211yescharacteristic, direct product factor, Sylow
353C23×Q8C22×C12711yescharacteristic
354C24×C4C22×C12711yescharacteristic
355C2×C4×Q8—28no—
356C2×C4×Q8—24no—
357C22×C4⋊C4C22×C12711yescharacteristic
358C22×C4⋊C4C22×C12712yes—
359C22×C4⋊C4C22×C12712yes—
360C22×C22⋊C4C22×C12712yes—
361C22×C22⋊C4C22×C12712yes—
362C22×C22⋊C4C22×C12711yescharacteristic
363C22×C22⋊C4C22×C12711yescharacteristic
364C22×C42C22×C12712yes—
365C22×C42C22×C12711yescharacteristic
366C22×C42C22×C12711yescharacteristic
367#393C4×C12718yescomplemented
368#385—28no—
369C4×C22⋊C4—24no—
370C2×#95C22×C12712yes—
371C2×#95C22×C12712yes—
372C2×#95C22×C12711yescharacteristic
373C2×#95C22×C12711yescharacteristic
374C2×#95C22×C12712yes—
375C2×#95C22×C12712yes—
376C2×#95C22×C12711yescharacteristic
377C2×#95C22×C12712yes—
378C2×#95C22×C12712yes—
379C2×#95C22×C12711yescharacteristic
380C2×#95C22×C12712yes—
381C25C23×C12711yescharacteristic
382C22×Q8—24no—
383C22×Q8—22no—
384C22×Q8—22no—
385C22×Q8—24no—
386C22×Q8C2×C4×C12714yescomplemented
387C23×C4—22no—
388C23×C4—22no—
389C23×C4—22no—
390C23×C4—24no—
391C23×C4—42no—
392C23×C4C23×C12712yes—
393C23×C4C23×C12712yes—
394C23×C4C23×C12711yescharacteristic
395C23×C4C23×C12712yes—
396C23×C4C23×C12711yescharacteristic
397C23×C4C23×C12711yescharacteristic
398C23×C4C23×C12712yes—
399C23×C4C23×C12711yescharacteristic
400C23×C4C23×C12711yescharacteristic
401C23×C4C23×C12711yescharacteristic
402C4×Q8—232no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—42no—
410C2×C4⋊C4D4×C12718yes—
411C2×C22⋊C4—22no—
412C2×C22⋊C4—22no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—42no—
420C2×C22⋊C4C2×C4×C12718yes—
421C2×C22⋊C4C2×C4×C12714yes—
422C2×C22⋊C4Q8×C12714yescomplemented
423C2×C42—24no—
424C2×C42—24no—
425C2×C42—24no—
426C2×C42—24no—
427C2×C42—22no—
428C2×C42—42no—
429C2×C42D4×C12714yes—
430#95—22no—
431#95—22no—
432#95—24no—
433#95—24no—
434#95—24no—
435#95—24no—
436#95—22no—
437#95—42no—
438#95—42no—
439#95C2×C4×C12714yescomplemented
440#95C2×C4×C12718yescomplemented
441C24—21no—
442C24—22no—
443C24—21no—
444C24—22no—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24C22×C4×C12712yes—
450C24C2×Q8×C12712yes—
451C24#41×C12712yes—
452C24C24×C12711yescharacteristic
453C2×Q8—28no—
454C2×Q8—28no—
455C2×Q8—216no—
456C2×Q8—28no—
457C2×Q8—216no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—28no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
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—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
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—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4C22×C4×C12714yes—
506C22×C4C22×C4×C12712yes—
507C22×C4C22×C4×C12714yes—
508C22×C4C22×C4×C12712yes—
509C22×C4C2×D4×C12714yes—
510C22×C4C2×D4×C12714yes—
511C22×C4C2×D4×C12712yes—
512C22×C4C2×D4×C12714yes—
513C22×C4C2×D4×C12712yes—
514C22×C4C2×D4×C12712yes—
515C22×C4C2×Q8×C12712yes—
516C22×C4C2×Q8×C12712yes—
517C22×C4#41×C12712yes—
518C22×C4#41×C12712yes—
519C22×C4#41×C12714yes—
520C22×C4#41×C12712yes—
521C4⋊C4—28no—
522C4⋊C4—216no—
523C4⋊C4—48no—
524C22⋊C4—28no—
525C22⋊C4—216no—
526C22⋊C4—28no—
527C22⋊C4—48no—
528C42—216no—
529C42—28no—
530C42—44no—
531C23—24no—
532C23—22no—
533C23—22no—
534C23—24no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—41no—
544C23—41no—
545C23—42no—
546C23—41no—
547C23—41no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23C4×Q8×C12714yescomplemented
554C23C23×C4×C12711yescharacteristic
555C23C22×D4×C12711yescharacteristic
556C23C22×D4×C12712yes—
557C23C22×Q8×C12711yescharacteristic
558C23C2×#41×C12711yescharacteristic
559C23C2×#41×C12712yes—
560C23C2×#41×C12711yescharacteristic
561C23C2×#41×C12711yescharacteristic
562C23C2×#41×C12711yescharacteristic
563C23H(5,𝔽2)×C12712yes—
564C232−1+4×C12712yes—
565Q8—232no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—416no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4C4×D4×C12714yes—
622C2×C4C4×D4×C12718yes—
623C2×C4#120×C12714yes—
624C2×C4C22⋊Q8×C12714yes—
625C22—28no—
626C22—24no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—44no—
631C22—42no—
632C22—42no—
633C22—44no—
634C22—44no—
635C22—42no—
636C22C2×C4×D4×C12711yescharacteristic
637C22C2×C4×D4×C12712yes—
638C22C2×C4×Q8×C12711yescharacteristic
639C22C4×#41×C12711yescharacteristic
640C22#520×C12712yes—
641C22C2×#120×C12711yescharacteristic
642C22C2×C22⋊Q8×C12711yescharacteristic
643C22#525×C12711yescharacteristic
644C22#525×C12711yescharacteristic
645C22#525×C12712yes—
646C22#529×C12711yescharacteristic
647C22#533×C12711yescharacteristic
648C22#535×C12711yescharacteristic
649C22#536×C12711yescharacteristic
650C22#542×C12712yes—
651C22#546×C12712yes—
652C22#546×C12712yes—
653C22#548×C12712yes—
654C22D4×Q8×C12712yes—
655C22#552×C12712yes—
656C22#554×C12712yes—
657C22#556×C12712yes—
658C22#559×C12712yes—
659C4—24no—
660C4—24no—
661C4—28no—
662C4—24no—
663C4—42no—
664C4—42no—
665C4—44no—
666C4—42no—
667C4—44no—
668C4—82no—
669C2—44no—
670C2C4×#120×C12711yescharacteristic
671C2C4×C22⋊Q8×C12711yescharacteristic
672C2C127×#232611yescharacteristic
673C2C127×#236012yes—
674C2C127×#236712yes—
675C2C127×#240411yescharacteristic
676C2C127×#240911yescharacteristic
677C2C127×#245812yes—
678C2C127×#246512yes—
679C2C127×#258011yescharacteristic
680C2C127×#259911yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutatorC23C23×C4×C127
Frattini, cosocleC24C24×C127
prime radicalC25×C127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×Q8×C127C2semidirect
5. C127×#1446C2semidirect
6. C127×#1444C2semidirect
9. C127×#1436C2semidirect
10. C127×#1436C2semidirect
11. C127×#1434C2semidirect
26. #393×C127C4semidirect
45. C22×Q8×C127C2×C4semidirect
81. C2×C22⋊C4×C127Q8semidirect
98. #95×C127C2×C4semidirect
99. #95×C127C2×C4semidirect
212. C23×C127C4×Q8semidirect
328. #14172C127direct (N × H)
341. C22×C4×Q8C2×C127semidirect
345. #1446C2×C127semidirect
346. #1444C2×C127semidirect
349. #1436C2×C127semidirect
350. #1436C2×C127semidirect
351. #1434C2×C127semidirect
352. C127#14172direct (N × H)
367. #393C4×C127semidirect
386. C22×Q8C2×C4×C127semidirect
422. C2×C22⋊C4Q8×C127semidirect
439. #95C2×C4×C127semidirect
440. #95C2×C4×C127semidirect
553. C23C4×Q8×C127semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Q8×C1272
C2×#393×C1272
C2×#385×C1272
C2×C4×C22⋊C4×C1272
C127×#14462
C127×#14442
C127×#14392
C127×#14372
C127×#14362
C127×#14342
#14172127