Finite Group Databasebeta

← C2×C127×#1789 #44584277

Subgroups — C2×C127×#1789 #44584277

Order 32512.

4102 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#41×C127C211yesmaximal, characteristic
2C22×#104×C127C214yesmaximal, complemented
3C2×#407×C127C211yesmaximal, characteristic, complemented
4C2×C4×C22⋊C4×C127C211yesmaximal, characteristic, complemented
5C127×#1789C218yesmaximal, direct product factor
6C22×#41×C127—216no—
7C22×#41×C127—21no—
8C22×#41×C127—22no—
9C22×#41×C127—22no—
10C22×#41×C127—21no—
11C22×#41×C127C412yescomplemented
12C22×#41×C127C414yescomplemented
13C22×#41×C127C2212yes—
14C22×#41×C127C2214yes—
15C23×Q8×C127C411yescharacteristic, complemented
16C23×D4×C127—21no—
17C23×D4×C127C411yescharacteristic, complemented
18C24×C4×C127—21no—
19C24×C4×C127C2211yescharacteristic
20C22×M16×C127C2212yescomplemented
21C22×C22⋊C4×C127—21no—
22C22×C42×C127C2212yescomplemented
23C2×#104×C127—216no—
24C2×#104×C127C22116yescomplemented
25#407×C127—22no—
26#407×C127C2214yescomplemented
27C2×C22⋊C8×C127—21no—
28C2×C22⋊C8×C127—21no—
29C4×C22⋊C4×C127—22no—
30C4×C22⋊C4×C127C2214yescomplemented
31C2×#95×C127—21no—
32C25×C127—21no—
33C25×C127D411yescharacteristic
34C2×#41×C127—216no—
35C2×#41×C127—232no—
36C2×#41×C127—232no—
37C2×#41×C127—216no—
38C2×#41×C127—232no—
39C2×#41×C127—232no—
40C2×#41×C127—28no—
41C2×#41×C127—28no—
42C2×#41×C127—24no—
43C2×#41×C127—24no—
44C2×#41×C127—24no—
45C2×#41×C127—22no—
46C2×#41×C127—24no—
47C2×#41×C127—28no—
48C2×#41×C127—24no—
49C2×#41×C127—22no—
50C2×#41×C127C2×C414yes—
51C2×#41×C127C2×C418yescomplemented
52C2×#41×C127D4116yes—
53C2×#41×C127C2314yes—
54C22×Q8×C127—28no—
55C22×Q8×C127—21no—
56C22×Q8×C127—22no—
57C22×Q8×C127C2×C412yes—
58C22×Q8×C127C2×C414yescomplemented
59C22×D4×C127—216no—
60C22×D4×C127—22no—
61C22×D4×C127—24no—
62C22×D4×C127—22no—
63C22×D4×C127—24no—
64C22×D4×C127—28no—
65C22×D4×C127—22no—
66C22×D4×C127—21no—
67C22×D4×C127C2×C412yes—
68C22×D4×C127C2×C414yescomplemented
69C23×C4×C127—216no—
70C23×C4×C127—21no—
71C23×C4×C127—22no—
72C23×C4×C127—24no—
73C23×C4×C127—24no—
74C23×C4×C127—28no—
75C23×C4×C127—22no—
76C23×C4×C127—22no—
77C23×C4×C127C2×C411yescharacteristic
78C23×C4×C127C2×C412yes—
79C23×C4×C127C2×C411yescharacteristic
80C23×C4×C127D411yescharacteristic
81C23×C4×C127D412yes—
82C23×C4×C127D412yes—
83C23×C4×C127D411yescharacteristic
84C23×C4×C127D411yescharacteristic
85C23×C4×C127C2312yes—
86C23×C4×C127C2311yescharacteristic
87C2×M16×C127—22no—
88C2×M16×C127—28no—
89C2×M16×C127C2314yescomplemented
90C22×C8×C127—22no—
91C2×C22⋊C4×C127—28no—
92C2×C22⋊C4×C127—24no—
93C2×C42×C127—28no—
94C2×C42×C127—22no—
95C2×C42×C127C2314yescomplemented
96#104×C127—232no—
97C22⋊C8×C127—24no—
98C22⋊C8×C127—24no—
99#95×C127—24no—
100C24×C127—28no—
101C24×C127—24no—
102C24×C127—22no—
103C24×C127—24no—
104C24×C127—24no—
105C24×C127—42no—
106C24×C127—44no—
107C24×C127—44no—
108C24×C127C22⋊C411yescharacteristic
109C24×C127C22⋊C412yes—
110C24×C127C22⋊C411yescharacteristic
111C24×C127C2×D412yes—
112C24×C127C2×D411yescharacteristic
113#41×C127—232no—
114#41×C127—232no—
115#41×C127—232no—
116#41×C127—232no—
117#41×C127—232no—
118#41×C127—216no—
119#41×C127—216no—
120#41×C127—28no—
121#41×C127—216no—
122#41×C127—216no—
123#41×C127—28no—
124#41×C127C22⋊C4116yescomplemented
125#41×C127C2×D4116yes—
126C2×Q8×C127—216no—
127C2×Q8×C127—28no—
128C2×Q8×C127—216no—
129C2×Q8×C127—22no—
130C2×Q8×C127—24no—
131C2×Q8×C127—24no—
132C2×Q8×C127C22⋊C418yescomplemented
133C2×Q8×C127C22×C414yes—
134C2×D4×C127—232no—
135C2×D4×C127—232no—
136C2×D4×C127—216no—
137C2×D4×C127—28no—
138C2×D4×C127—216no—
139C2×D4×C127—24no—
140C2×D4×C127—28no—
141C2×D4×C127—216no—
142C2×D4×C127—24no—
143C2×D4×C127—216no—
144C2×D4×C127—24no—
145C2×D4×C127—22no—
146C2×D4×C127—24no—
147C2×D4×C127C22⋊C418yescomplemented
148C2×D4×C127C22×C414yes—
149C22×C4×C127—28no—
150C22×C4×C127—232no—
151C22×C4×C127—232no—
152C22×C4×C127—216no—
153C22×C4×C127—22no—
154C22×C4×C127—24no—
155C22×C4×C127—24no—
156C22×C4×C127—24no—
157C22×C4×C127—28no—
158C22×C4×C127—24no—
159C22×C4×C127—24no—
160C22×C4×C127—28no—
161C22×C4×C127—24no—
162C22×C4×C127—216no—
163C22×C4×C127—28no—
164C22×C4×C127—24no—
165C22×C4×C127—28no—
166C22×C4×C127—24no—
167C22×C4×C127—28no—
168C22×C4×C127—28no—
169C22×C4×C127—24no—
170C22×C4×C127—44no—
171C22×C4×C127—44no—
172C22×C4×C127C22⋊C411yescharacteristic
173C22×C4×C127C22⋊C412yes—
174C22×C4×C127C22⋊C411yescharacteristic
175C22×C4×C127C22⋊C412yes—
176C22×C4×C127C22⋊C412yes—
177C22×C4×C127C22⋊C412yes—
178C22×C4×C127C22⋊C412yes—
179C22×C4×C127C22×C412yes—
180C22×C4×C127C22×C412yes—
181C22×C4×C127C22×C411yescharacteristic
182C22×C4×C127C22×C411yescharacteristic
183C22×C4×C127C2×D412yes—
184C22×C4×C127C2×D412yes—
185C22×C4×C127C2×D412yes—
186C22×C4×C127C2×D411yescharacteristic
187C22×C4×C127C2×D418yes—
188C22×C4×C127C2×D411yescharacteristic
189C22×C4×C127C2×D411yescharacteristic
190C22×C4×C127C2411yescharacteristic
191M16×C127—28no—
192M16×C127—44no—
193C2×C8×C127—24no—
194C2×C8×C127—44no—
195C22⋊C4×C127—216no—
196C42×C127—28no—
197C42×C127—44no—
198C23×C127—22no—
199C23×C127—22no—
200C23×C127—22no—
201C23×C127—22no—
202C23×C127—216no—
203C23×C127—24no—
204C23×C127—24no—
205C23×C127—24no—
206C23×C127—22no—
207C23×C127—28no—
208C23×C127—22no—
209C23×C127—24no—
210C23×C127—24no—
211C23×C127—22no—
212C23×C127—42no—
213C23×C127—42no—
214C23×C127—416no—
215C23×C127—48no—
216C23×C127—432no—
217C23×C127—44no—
218C23×C127—48no—
219C23×C127—44no—
220C23×C127#10414yescomplemented
221C23×C127C2×C22⋊C412yes—
222C23×C127C2×C22⋊C411yescharacteristic
223C23×C127C2×C22⋊C412yes—
224C23×C127C2×C22⋊C411yescharacteristic
225C23×C127#12014yes—
226C23×C127C22×D411yescharacteristic
227Q8×C127—216no—
228Q8×C127—24no—
229Q8×C127—28no—
230Q8×C127C2×C22⋊C418yescomplemented
231D4×C127—232no—
232D4×C127—216no—
233D4×C127—216no—
234D4×C127—216no—
235D4×C127—24no—
236D4×C127—28no—
237D4×C127C2×C22⋊C418yescomplemented
238C2×C4×C127—216no—
239C2×C4×C127—232no—
240C2×C4×C127—24no—
241C2×C4×C127—24no—
242C2×C4×C127—22no—
243C2×C4×C127—28no—
244C2×C4×C127—22no—
245C2×C4×C127—24no—
246C2×C4×C127—24no—
247C2×C4×C127—24no—
248C2×C4×C127—24no—
249C2×C4×C127—216no—
250C2×C4×C127—24no—
251C2×C4×C127—24no—
252C2×C4×C127—216no—
253C2×C4×C127—24no—
254C2×C4×C127—24no—
255C2×C4×C127—24no—
256C2×C4×C127—28no—
257C2×C4×C127—44no—
258C2×C4×C127—416no—
259C2×C4×C127—44no—
260C2×C4×C127C2×C22⋊C412yes—
261C2×C4×C127C2×C22⋊C412yes—
262C2×C4×C127C2×C22⋊C414yes—
263C2×C4×C127C2×C22⋊C414yes—
264C2×C4×C127C2×C22⋊C411yescharacteristic
265C2×C4×C127C2×C22⋊C411yescharacteristic
266C2×C4×C127#12014yes—
267C2×C4×C127#12014yes—
268C2×C4×C127#12014yes—
269C2×C4×C127C23×C411yescharacteristic
270C2×C4×C127C22×D414yes—
271C2×C4×C127C22×D411yescharacteristic
272C8×C127—44no—
273C22×C127—21no—
274C22×C127—21no—
275C22×C127—21no—
276C22×C127—22no—
277C22×C127—21no—
278C22×C127—22no—
279C22×C127—28no—
280C22×C127—28no—
281C22×C127—22no—
282C22×C127—22no—
283C22×C127—22no—
284C22×C127—28no—
285C22×C127—48no—
286C22×C127—48no—
287C22×C127—432no—
288C22×C127—44no—
289C22×C127—44no—
290C22×C127—44no—
291C22×C127—416no—
292C22×C127#37912yes—
293C22×C127#37912yes—
294C22×C127C2×#10412yes—
295C22×C127C2×#10414yescomplemented
296C22×C127#42112yes—
297C22×C127C22×C22⋊C411yescharacteristic
298C22×C127C2×#12012yes—
299C4×C127—22no—
300C4×C127—28no—
301C4×C127—22no—
302C4×C127—48no—
303C4×C127#37912yes—
304C4×C127#37912yes—
305C4×C127C22×C22⋊C412yes—
306C4×C127C2×#12012yes—
307C2×#1789C12711yesmaximal, characteristic, direct product factor, Sylow
308C2×C127—22no—
309C2×C127—24no—
310C2×C127—22no—
311C2×C127—42no—
312C2×C127—48no—
313C2×C127#178914yesdirect product factor
314C2×C127C2×#37911yescharacteristic
315C2×C127C22×#10411yescharacteristic
316C2×C127C2×#42111yescharacteristic
317C23×#41C2×C12711yescharacteristic
318C22×#104C2×C12714yescomplemented
319C2×#407C2×C12711yescharacteristic, complemented
320C2×C4×C22⋊C4C2×C12711yescharacteristic, complemented
321#1789C2×C12718yesdirect product factor
322C127C2×#178911yescharacteristic, direct product factor, Sylow
323C22×#41—216no—
324C22×#41—21no—
325C22×#41—22no—
326C22×#41—21no—
327C22×#41—22no—
328C22×#41C4×C12712yescomplemented
329C22×#41C4×C12714yescomplemented
330C22×#41C22×C12712yes—
331C22×#41C22×C12714yes—
332C23×Q8C4×C12711yescharacteristic, complemented
333C23×D4—21no—
334C23×D4C4×C12711yescharacteristic, complemented
335C24×C4—21no—
336C24×C4C22×C12711yescharacteristic
337C22×M16C22×C12712yescomplemented
338C22×C22⋊C4—21no—
339C22×C42C22×C12712yescomplemented
340C2×#104—216no—
341C2×#104C22×C127116yescomplemented
342#407—22no—
343#407C22×C12714yescomplemented
344C2×C22⋊C8—21no—
345C2×C22⋊C8—21no—
346C4×C22⋊C4—22no—
347C4×C22⋊C4C22×C12714yescomplemented
348C2×#95—21no—
349C25—21no—
350C25D4×C12711yescharacteristic
351C2×#41—216no—
352C2×#41—232no—
353C2×#41—232no—
354C2×#41—216no—
355C2×#41—232no—
356C2×#41—232no—
357C2×#41—28no—
358C2×#41—28no—
359C2×#41—24no—
360C2×#41—24no—
361C2×#41—24no—
362C2×#41—22no—
363C2×#41—24no—
364C2×#41—28no—
365C2×#41—24no—
366C2×#41—22no—
367C2×#41C2×C4×C12714yes—
368C2×#41C2×C4×C12718yescomplemented
369C2×#41D4×C127116yes—
370C2×#41C23×C12714yes—
371C22×Q8—28no—
372C22×Q8—21no—
373C22×Q8—22no—
374C22×Q8C2×C4×C12712yes—
375C22×Q8C2×C4×C12714yescomplemented
376C22×D4—216no—
377C22×D4—22no—
378C22×D4—24no—
379C22×D4—22no—
380C22×D4—24no—
381C22×D4—28no—
382C22×D4—22no—
383C22×D4—21no—
384C22×D4C2×C4×C12712yes—
385C22×D4C2×C4×C12714yescomplemented
386C23×C4—216no—
387C23×C4—21no—
388C23×C4—22no—
389C23×C4—24no—
390C23×C4—24no—
391C23×C4—22no—
392C23×C4—28no—
393C23×C4—22no—
394C23×C4C2×C4×C12711yescharacteristic
395C23×C4C2×C4×C12712yes—
396C23×C4C2×C4×C12711yescharacteristic
397C23×C4D4×C12711yescharacteristic
398C23×C4D4×C12712yes—
399C23×C4D4×C12711yescharacteristic
400C23×C4D4×C12711yescharacteristic
401C23×C4D4×C12712yes—
402C23×C4C23×C12712yes—
403C23×C4C23×C12711yescharacteristic
404C2×M16—22no—
405C2×M16—28no—
406C2×M16C23×C12714yescomplemented
407C22×C8—22no—
408C2×C22⋊C4—28no—
409C2×C22⋊C4—24no—
410C2×C42—28no—
411C2×C42—22no—
412C2×C42C23×C12714yescomplemented
413#104—232no—
414C22⋊C8—24no—
415C22⋊C8—24no—
416#95—24no—
417C24—28no—
418C24—24no—
419C24—22no—
420C24—24no—
421C24—24no—
422C24—42no—
423C24—44no—
424C24—44no—
425C24C22⋊C4×C12711yescharacteristic
426C24C22⋊C4×C12712yes—
427C24C22⋊C4×C12711yescharacteristic
428C24C2×D4×C12712yes—
429C24C2×D4×C12711yescharacteristic
430#41—232no—
431#41—232no—
432#41—232no—
433#41—232no—
434#41—232no—
435#41—216no—
436#41—216no—
437#41—28no—
438#41—216no—
439#41—216no—
440#41—28no—
441#41C22⋊C4×C127116yescomplemented
442#41C2×D4×C127116yes—
443C2×Q8—216no—
444C2×Q8—28no—
445C2×Q8—216no—
446C2×Q8—22no—
447C2×Q8—24no—
448C2×Q8—24no—
449C2×Q8C22⋊C4×C12718yescomplemented
450C2×Q8C22×C4×C12714yes—
451C2×D4—232no—
452C2×D4—232no—
453C2×D4—216no—
454C2×D4—28no—
455C2×D4—216no—
456C2×D4—24no—
457C2×D4—28no—
458C2×D4—216no—
459C2×D4—24no—
460C2×D4—216no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—24no—
464C2×D4C22⋊C4×C12718yescomplemented
465C2×D4C22×C4×C12714yes—
466C22×C4—28no—
467C22×C4—232no—
468C22×C4—232no—
469C22×C4—216no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—28no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—28no—
478C22×C4—24no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—24no—
482C22×C4—28no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—24no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4C22⋊C4×C12711yescharacteristic
490C22×C4C22⋊C4×C12712yes—
491C22×C4C22⋊C4×C12711yescharacteristic
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×C12711yescharacteristic
499C22×C4C22×C4×C12711yescharacteristic
500C22×C4C2×D4×C12712yes—
501C22×C4C2×D4×C12712yes—
502C22×C4C2×D4×C12712yes—
503C22×C4C2×D4×C12711yescharacteristic
504C22×C4C2×D4×C12718yes—
505C22×C4C2×D4×C12711yescharacteristic
506C22×C4C2×D4×C12711yescharacteristic
507C22×C4C24×C12711yescharacteristic
508M16—28no—
509M16—44no—
510C2×C8—24no—
511C2×C8—44no—
512C22⋊C4—216no—
513C42—28no—
514C42—44no—
515C23—22no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—216no—
520C23—24no—
521C23—24no—
522C23—24no—
523C23—22no—
524C23—28no—
525C23—22no—
526C23—24no—
527C23—24no—
528C23—22no—
529C23—42no—
530C23—42no—
531C23—416no—
532C23—48no—
533C23—432no—
534C23—44no—
535C23—48no—
536C23—44no—
537C23#104×C12714yescomplemented
538C23C2×C22⋊C4×C12712yes—
539C23C2×C22⋊C4×C12711yescharacteristic
540C23C2×C22⋊C4×C12712yes—
541C23C2×C22⋊C4×C12711yescharacteristic
542C23#120×C12714yes—
543C23C22×D4×C12711yescharacteristic
544Q8—216no—
545Q8—24no—
546Q8—28no—
547Q8C2×C22⋊C4×C12718yescomplemented
548D4—232no—
549D4—216no—
550D4—216no—
551D4—216no—
552D4—24no—
553D4—28no—
554D4C2×C22⋊C4×C12718yescomplemented
555C2×C4—216no—
556C2×C4—232no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—22no—
560C2×C4—28no—
561C2×C4—22no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—216no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—216no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—28no—
574C2×C4—44no—
575C2×C4—416no—
576C2×C4—44no—
577C2×C4C2×C22⋊C4×C12712yes—
578C2×C4C2×C22⋊C4×C12712yes—
579C2×C4C2×C22⋊C4×C12714yes—
580C2×C4C2×C22⋊C4×C12714yes—
581C2×C4C2×C22⋊C4×C12711yescharacteristic
582C2×C4C2×C22⋊C4×C12711yescharacteristic
583C2×C4#120×C12714yes—
584C2×C4#120×C12714yes—
585C2×C4#120×C12714yes—
586C2×C4C23×C4×C12711yescharacteristic
587C2×C4C22×D4×C12714yes—
588C2×C4C22×D4×C12711yescharacteristic
589C8—44no—
590C22—21no—
591C22—21no—
592C22—21no—
593C22—22no—
594C22—21no—
595C22—22no—
596C22—28no—
597C22—28no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—28no—
602C22—48no—
603C22—48no—
604C22—432no—
605C22—44no—
606C22—44no—
607C22—44no—
608C22—416no—
609C22#379×C12712yes—
610C22#379×C12712yes—
611C22C2×#104×C12712yes—
612C22C2×#104×C12714yescomplemented
613C22#421×C12712yes—
614C22C22×C22⋊C4×C12711yescharacteristic
615C22C2×#120×C12712yes—
616C4—22no—
617C4—28no—
618C4—22no—
619C4—48no—
620C4#379×C12712yes—
621C4#379×C12712yes—
622C4C22×C22⋊C4×C12712yes—
623C4C2×#120×C12712yes—
624C2—22no—
625C2—24no—
626C2—22no—
627C2—42no—
628C2—48no—
629C2C127×#178914yesdirect product factor
630C2C2×#379×C12711yescharacteristic
631C2C22×#104×C12711yescharacteristic
632C2C2×#421×C12711yescharacteristic
subgroupG/H
centerC22×C4×C127C2×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
socleC23×C127C2×C22⋊C4
prime radicalC23×#41×C127C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4×C127 ◁ C24×C4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×#104×C127C2semidirect
3. C2×#407×C127C2semidirect
4. C2×C4×C22⋊C4×C127C2semidirect
5. C127×#1789C2direct (N × H)
11. C22×#41×C127C4semidirect
12. C22×#41×C127C4semidirect
15. C23×Q8×C127C4semidirect
17. C23×D4×C127C4semidirect
20. C22×M16×C127C22semidirect
22. C22×C42×C127C22semidirect
24. C2×#104×C127C22semidirect
26. #407×C127C22semidirect
30. C4×C22⋊C4×C127C22semidirect
51. C2×#41×C127C2×C4semidirect
58. C22×Q8×C127C2×C4semidirect
68. C22×D4×C127C2×C4semidirect
89. C2×M16×C127C23semidirect
95. C2×C42×C127C23semidirect
124. #41×C127C22⋊C4semidirect
132. C2×Q8×C127C22⋊C4semidirect
147. C2×D4×C127C22⋊C4semidirect
220. C23×C127#104semidirect
230. Q8×C127C2×C22⋊C4semidirect
237. D4×C127C2×C22⋊C4semidirect
295. C22×C127C2×#104semidirect
307. C2×#1789C127direct (N × H)
313. C2×C127#1789direct (N × H)
318. C22×#104C2×C127semidirect
319. C2×#407C2×C127semidirect
320. C2×C4×C22⋊C4C2×C127semidirect
321. #1789C2×C127direct (N × H)
322. C127C2×#1789direct (N × H)
328. C22×#41C4×C127semidirect
329. C22×#41C4×C127semidirect
332. C23×Q8C4×C127semidirect
334. C23×D4C4×C127semidirect
337. C22×M16C22×C127semidirect
339. C22×C42C22×C127semidirect
341. C2×#104C22×C127semidirect
343. #407C22×C127semidirect
347. C4×C22⋊C4C22×C127semidirect
368. C2×#41C2×C4×C127semidirect
375. C22×Q8C2×C4×C127semidirect
385. C22×D4C2×C4×C127semidirect
406. C2×M16C23×C127semidirect
412. C2×C42C23×C127semidirect
441. #41C22⋊C4×C127semidirect
449. C2×Q8C22⋊C4×C127semidirect
464. C2×D4C22⋊C4×C127semidirect
537. C23#104×C127semidirect
547. Q8C2×C22⋊C4×C127semidirect
554. D4C2×C22⋊C4×C127semidirect
612. C22C2×#104×C127semidirect
629. C2C127×#1789direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#41×C1272
C22×#104×C1272
C2×#407×C1272
C2×C4×C22⋊C4×C1272
C127×#17892
C2×#1789127