Finite Group Databasebeta

← C127×#14230 #44577903

Subgroups — C127×#14230 #44577903

Order 32512.

1822 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#399×C127C211yesmaximal, characteristic
2C2×#389×C127C211yesmaximal, characteristic, complemented
3C2×#387×C127C212yesmaximal, complemented
4C2×#385×C127C212yesmaximal
5C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
6C127×#1445C211yesmaximal, characteristic, complemented
7C127×#1444C211yesmaximal, characteristic, complemented
8C127×#1439C211yesmaximal, characteristic
9C127×#1437C212yesmaximal
10C127×C4⋊#95C212yesmaximal, complemented
11C4×#95×C127C211yesmaximal, characteristic, complemented
12C24×C4×C127C2211yescharacteristic
13C22×C4⋊C4×C127C2212yes—
14C22×C4⋊C4×C127C2212yes—
15C22×C4⋊C4×C127C2212yes—
16C22×C4⋊C4×C127C2211yescharacteristic
17C22×C4⋊C4×C127C2211yescharacteristic
18C22×C22⋊C4×C127C2212yes—
19C22×C22⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2211yescharacteristic
21C22×C22⋊C4×C127C2211yescharacteristic
22C22×C42×C127C2211yescharacteristic
23C22×C42×C127C2212yes—
24C22×C42×C127C2211yescharacteristic
25#399×C127C418yescomplemented
26#389×C127—24no—
27#387×C127—28no—
28#385×C127—28no—
29C4×C22⋊C4×C127—24no—
30C2×#95×C127C2211yescharacteristic
31C2×#95×C127C2211yescharacteristic
32C2×#95×C127C2212yes—
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2212yes—
36C2×#95×C127C2212yes—
37C2×#95×C127C2211yescharacteristic
38C2×#95×C127C2211yescharacteristic
39C2×#95×C127C2212yes—
40C25×C127C2311yescharacteristic
41C23×C4×C127—22no—
42C23×C4×C127—22no—
43C23×C4×C127—22no—
44C23×C4×C127—24no—
45C23×C4×C127—42no—
46C23×C4×C127C2312yes—
47C23×C4×C127C2311yescharacteristic
48C23×C4×C127C2312yes—
49C23×C4×C127C2312yes—
50C23×C4×C127C2311yescharacteristic
51C23×C4×C127C2311yescharacteristic
52C23×C4×C127C2312yes—
53C23×C4×C127C2311yescharacteristic
54C23×C4×C127C2311yescharacteristic
55C23×C4×C127C2311yescharacteristic
56C2×C4⋊C4×C127—24no—
57C2×C4⋊C4×C127—22no—
58C2×C4⋊C4×C127—22no—
59C2×C4⋊C4×C127—24no—
60C2×C4⋊C4×C127—24no—
61C2×C4⋊C4×C127—24no—
62C2×C4⋊C4×C127—24no—
63C2×C4⋊C4×C127—22no—
64C2×C4⋊C4×C127—24no—
65C2×C4⋊C4×C127—24no—
66C2×C4⋊C4×C127—42no—
67C2×C4⋊C4×C127—42no—
68C2×C4⋊C4×C127C2×C418yescomplemented
69C2×C4⋊C4×C127C2×C414yescomplemented
70C2×C22⋊C4×C127—22no—
71C2×C22⋊C4×C127—22no—
72C2×C22⋊C4×C127—24no—
73C2×C22⋊C4×C127—22no—
74C2×C22⋊C4×C127—24no—
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×C127Q814yes—
82C2×C42×C127—22no—
83C2×C42×C127—24no—
84C2×C42×C127—24no—
85C2×C42×C127—24no—
86C2×C42×C127—42no—
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—24no—
96#95×C127—22no—
97#95×C127C2×C414yescomplemented
98#95×C127D418yes—
99C24×C127—21no—
100C24×C127—22no—
101C24×C127—21no—
102C24×C127—22no—
103C24×C127—21no—
104C24×C127—21no—
105C24×C127—22no—
106C24×C127—22no—
107C24×C127C22×C412yes—
108C24×C127C2×Q812yes—
109C24×C127#4112yes—
110C24×C127C2411yescharacteristic
111C22×C4×C127—22no—
112C22×C4×C127—22no—
113C22×C4×C127—22no—
114C22×C4×C127—21no—
115C22×C4×C127—21no—
116C22×C4×C127—22no—
117C22×C4×C127—22no—
118C22×C4×C127—22no—
119C22×C4×C127—22no—
120C22×C4×C127—22no—
121C22×C4×C127—22no—
122C22×C4×C127—28no—
123C22×C4×C127—22no—
124C22×C4×C127—21no—
125C22×C4×C127—21no—
126C22×C4×C127—21no—
127C22×C4×C127—22no—
128C22×C4×C127—22no—
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—21no—
136C22×C4×C127—22no—
137C22×C4×C127—21no—
138C22×C4×C127—22no—
139C22×C4×C127—22no—
140C22×C4×C127—22no—
141C22×C4×C127—22no—
142C22×C4×C127—21no—
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—22no—
150C22×C4×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—22no—
153C22×C4×C127—22no—
154C22×C4×C127—48no—
155C22×C4×C127—48no—
156C22×C4×C127—44no—
157C22×C4×C127—44no—
158C22×C4×C127C22×C412yes—
159C22×C4×C127C22×C414yes—
160C22×C4×C127C22×C414yes—
161C22×C4×C127C22×C412yes—
162C22×C4×C127C2×D414yes—
163C22×C4×C127C2×D414yes—
164C22×C4×C127C2×D412yes—
165C22×C4×C127C2×D412yes—
166C22×C4×C127C2×D414yes—
167C22×C4×C127C2×D412yes—
168C22×C4×C127C2×Q812yes—
169C22×C4×C127C2×Q812yes—
170C22×C4×C127#4112yes—
171C22×C4×C127#4112yes—
172C22×C4×C127#4114yes—
173C22×C4×C127#4112yes—
174C4⋊C4×C127—216no—
175C4⋊C4×C127—28no—
176C4⋊C4×C127—48no—
177C4⋊C4×C127—44no—
178C4⋊C4×C127—48no—
179C22⋊C4×C127—28no—
180C22⋊C4×C127—216no—
181C22⋊C4×C127—28no—
182C22⋊C4×C127—48no—
183C42×C127—44no—
184C42×C127—48no—
185C42×C127—44no—
186C23×C127—24no—
187C23×C127—22no—
188C23×C127—22no—
189C23×C127—24no—
190C23×C127—22no—
191C23×C127—22no—
192C23×C127—22no—
193C23×C127—22no—
194C23×C127—24no—
195C23×C127—24no—
196C23×C127—24no—
197C23×C127—24no—
198C23×C127—41no—
199C23×C127—41no—
200C23×C127—42no—
201C23×C127—41no—
202C23×C127—41no—
203C23×C127—42no—
204C23×C127—42no—
205C23×C127—42no—
206C23×C127—42no—
207C23×C127—42no—
208C23×C127C4×Q814yes—
209C23×C127C23×C411yescharacteristic
210C23×C127C22×D411yescharacteristic
211C23×C127C22×D412yes—
212C23×C127C22×Q811yescharacteristic
213C23×C127C2×#4111yescharacteristic
214C23×C127C2×#4112yes—
215C23×C127C2×#4111yescharacteristic
216C23×C127C2×#4111yescharacteristic
217C23×C127C2×#4111yescharacteristic
218C23×C127H(5,𝔽2)12yes—
219C23×C1272−1+412yes—
220C2×C4×C127—24no—
221C2×C4×C127—24no—
222C2×C4×C127—24no—
223C2×C4×C127—22no—
224C2×C4×C127—22no—
225C2×C4×C127—22no—
226C2×C4×C127—22no—
227C2×C4×C127—22no—
228C2×C4×C127—22no—
229C2×C4×C127—24no—
230C2×C4×C127—24no—
231C2×C4×C127—24no—
232C2×C4×C127—24no—
233C2×C4×C127—24no—
234C2×C4×C127—24no—
235C2×C4×C127—24no—
236C2×C4×C127—24no—
237C2×C4×C127—24no—
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—22no—
245C2×C4×C127—24no—
246C2×C4×C127—24no—
247C2×C4×C127—24no—
248C2×C4×C127—24no—
249C2×C4×C127—24no—
250C2×C4×C127—416no—
251C2×C4×C127—42no—
252C2×C4×C127—41no—
253C2×C4×C127—41no—
254C2×C4×C127—42no—
255C2×C4×C127—41no—
256C2×C4×C127—41no—
257C2×C4×C127—42no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—42no—
261C2×C4×C127—41no—
262C2×C4×C127—41no—
263C2×C4×C127—42no—
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×C127C4×D414yes—
276C2×C4×C127C4×D418yes—
277C2×C4×C127C22⋊Q814yes—
278C2×C4×C127#12714yes—
279C22×C127—28no—
280C22×C127—24no—
281C22×C127—42no—
282C22×C127—42no—
283C22×C127—42no—
284C22×C127—42no—
285C22×C127—44no—
286C22×C127—42no—
287C22×C127—42no—
288C22×C127—44no—
289C22×C127—44no—
290C22×C127C2×C4×D411yescharacteristic
291C22×C127C2×C4×D412yes—
292C22×C127C2×C4×Q811yescharacteristic
293C22×C127C4×#4111yescharacteristic
294C22×C127#52012yes—
295C22×C127C2×C22⋊Q811yescharacteristic
296C22×C127#52511yescharacteristic
297C22×C127#52911yescharacteristic
298C22×C127C2×#12711yescharacteristic
299C22×C127#53211yescharacteristic
300C22×C127#53212yes—
301C22×C127#53311yescharacteristic
302C22×C127#53411yescharacteristic
303C22×C127#53611yescharacteristic
304C22×C127#53912yes—
305C22×C127#54612yes—
306C22×C127#54612yes—
307C22×C127#54712yes—
308C22×C127D4×Q812yes—
309C22×C127#55112yes—
310C22×C127#55212yes—
311C22×C127#55212yes—
312C22×C127#55412yes—
313C4×C127—24no—
314C4×C127—24no—
315C4×C127—28no—
316C4×C127—24no—
317C4×C127—42no—
318C4×C127—44no—
319C4×C127—42no—
320C4×C127—42no—
321C4×C127—44no—
322C4×C127—82no—
323#14230C12711yesmaximal, characteristic, direct product factor, Sylow
324C2×C127—44no—
325C2×C127C4×C22⋊Q811yescharacteristic
326C2×C127C4×#12711yescharacteristic
327C2×C127#232211yescharacteristic
328C2×C127#235912yes—
329C2×C127#236012yes—
330C2×C127#253911yescharacteristic
331C2×C127#254211yescharacteristic
332C2×C127#255312yes—
333C2×C127#255612yes—
334C2×C127#256411yescharacteristic
335C2×C127#261111yescharacteristic
336C2×#399C2×C12711yescharacteristic
337C2×#389C2×C12711yescharacteristic, complemented
338C2×#387C2×C12712yescomplemented
339C2×#385C2×C12712yes—
340C2×C4×C22⋊C4C2×C12711yescharacteristic
341#1445C2×C12711yescharacteristic, complemented
342#1444C2×C12711yescharacteristic, complemented
343#1439C2×C12711yescharacteristic
344#1437C2×C12712yes—
345C4⋊#95C2×C12712yescomplemented
346C4×#95C2×C12711yescharacteristic, complemented
347C127#1423011yescharacteristic, direct product factor, Sylow
348C24×C4C22×C12711yescharacteristic
349C22×C4⋊C4C22×C12712yes—
350C22×C4⋊C4C22×C12712yes—
351C22×C4⋊C4C22×C12712yes—
352C22×C4⋊C4C22×C12711yescharacteristic
353C22×C4⋊C4C22×C12711yescharacteristic
354C22×C22⋊C4C22×C12712yes—
355C22×C22⋊C4C22×C12712yes—
356C22×C22⋊C4C22×C12711yescharacteristic
357C22×C22⋊C4C22×C12711yescharacteristic
358C22×C42C22×C12711yescharacteristic
359C22×C42C22×C12712yes—
360C22×C42C22×C12711yescharacteristic
361#399C4×C12718yescomplemented
362#389—24no—
363#387—28no—
364#385—28no—
365C4×C22⋊C4—24no—
366C2×#95C22×C12711yescharacteristic
367C2×#95C22×C12711yescharacteristic
368C2×#95C22×C12712yes—
369C2×#95C22×C12712yes—
370C2×#95C22×C12712yes—
371C2×#95C22×C12712yes—
372C2×#95C22×C12712yes—
373C2×#95C22×C12711yescharacteristic
374C2×#95C22×C12711yescharacteristic
375C2×#95C22×C12712yes—
376C25C23×C12711yescharacteristic
377C23×C4—22no—
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—24no—
381C23×C4—42no—
382C23×C4C23×C12712yes—
383C23×C4C23×C12712yes—
384C23×C4C23×C12711yescharacteristic
385C23×C4C23×C12712yes—
386C23×C4C23×C12711yescharacteristic
387C23×C4C23×C12711yescharacteristic
388C23×C4C23×C12712yes—
389C23×C4C23×C12711yescharacteristic
390C23×C4C23×C12711yescharacteristic
391C23×C4C23×C12711yescharacteristic
392C2×C4⋊C4—24no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—24no—
396C2×C4⋊C4—24no—
397C2×C4⋊C4—24no—
398C2×C4⋊C4—24no—
399C2×C4⋊C4—22no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—42no—
403C2×C4⋊C4—42no—
404C2×C4⋊C4C2×C4×C12718yescomplemented
405C2×C4⋊C4C2×C4×C12714yescomplemented
406C2×C22⋊C4—22no—
407C2×C22⋊C4—22no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—22no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4—22no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—42no—
415C2×C22⋊C4C2×C4×C12718yes—
416C2×C22⋊C4C2×C4×C12714yes—
417C2×C22⋊C4Q8×C12714yes—
418C2×C42—22no—
419C2×C42—24no—
420C2×C42—24no—
421C2×C42—24no—
422C2×C42—42no—
423C2×C42—42no—
424C2×C42D4×C12714yes—
425#95—22no—
426#95—22no—
427#95—24no—
428#95—24no—
429#95—24no—
430#95—24no—
431#95—24no—
432#95—22no—
433#95C2×C4×C12714yescomplemented
434#95D4×C12718yes—
435C24—21no—
436C24—22no—
437C24—21no—
438C24—22no—
439C24—21no—
440C24—21no—
441C24—22no—
442C24—22no—
443C24C22×C4×C12712yes—
444C24C2×Q8×C12712yes—
445C24#41×C12712yes—
446C24C24×C12711yescharacteristic
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—28no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
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—48no—
491C22×C4—48no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4C22×C4×C12714yes—
495C22×C4C22×C4×C12712yes—
496C22×C4C22×C4×C12714yes—
497C22×C4C22×C4×C12712yes—
498C22×C4C2×D4×C12714yes—
499C22×C4C2×D4×C12714yes—
500C22×C4C2×D4×C12712yes—
501C22×C4C2×D4×C12712yes—
502C22×C4C2×D4×C12714yes—
503C22×C4C2×D4×C12712yes—
504C22×C4C2×Q8×C12712yes—
505C22×C4C2×Q8×C12712yes—
506C22×C4#41×C12712yes—
507C22×C4#41×C12712yes—
508C22×C4#41×C12714yes—
509C22×C4#41×C12712yes—
510C4⋊C4—216no—
511C4⋊C4—28no—
512C4⋊C4—48no—
513C4⋊C4—44no—
514C4⋊C4—48no—
515C22⋊C4—28no—
516C22⋊C4—216no—
517C22⋊C4—28no—
518C22⋊C4—48no—
519C42—44no—
520C42—48no—
521C42—44no—
522C23—24no—
523C23—22no—
524C23—22no—
525C23—24no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—22no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—41no—
535C23—41no—
536C23—42no—
537C23—41no—
538C23—41no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23C4×Q8×C12714yes—
545C23C23×C4×C12711yescharacteristic
546C23C22×D4×C12711yescharacteristic
547C23C22×D4×C12712yes—
548C23C22×Q8×C12711yescharacteristic
549C23C2×#41×C12711yescharacteristic
550C23C2×#41×C12712yes—
551C23C2×#41×C12711yescharacteristic
552C23C2×#41×C12711yescharacteristic
553C23C2×#41×C12711yescharacteristic
554C23H(5,𝔽2)×C12712yes—
555C232−1+4×C12712yes—
556C2×C4—24no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—416no—
587C2×C4—42no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—42no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4C4×D4×C12714yes—
612C2×C4C4×D4×C12718yes—
613C2×C4C22⋊Q8×C12714yes—
614C2×C4#127×C12714yes—
615C22—28no—
616C22—24no—
617C22—42no—
618C22—42no—
619C22—44no—
620C22—42no—
621C22—42no—
622C22—44no—
623C22—44no—
624C22—42no—
625C22—42no—
626C22C2×C4×D4×C12711yescharacteristic
627C22C2×C4×D4×C12712yes—
628C22C2×C4×Q8×C12711yescharacteristic
629C22C4×#41×C12711yescharacteristic
630C22#520×C12712yes—
631C22C2×C22⋊Q8×C12711yescharacteristic
632C22#525×C12711yescharacteristic
633C22#529×C12711yescharacteristic
634C22C2×#127×C12711yescharacteristic
635C22#532×C12711yescharacteristic
636C22#532×C12712yes—
637C22#533×C12711yescharacteristic
638C22#534×C12711yescharacteristic
639C22#536×C12711yescharacteristic
640C22#539×C12712yes—
641C22#546×C12712yes—
642C22#546×C12712yes—
643C22#547×C12712yes—
644C22D4×Q8×C12712yes—
645C22#551×C12712yes—
646C22#552×C12712yes—
647C22#552×C12712yes—
648C22#554×C12712yes—
649C4—24no—
650C4—28no—
651C4—24no—
652C4—24no—
653C4—42no—
654C4—42no—
655C4—44no—
656C4—42no—
657C4—44no—
658C4—82no—
659C2—44no—
660C2C4×C22⋊Q8×C12711yescharacteristic
661C2C4×#127×C12711yescharacteristic
662C2C127×#232211yescharacteristic
663C2C127×#235912yes—
664C2C127×#236012yes—
665C2C127×#253911yescharacteristic
666C2C127×#254211yescharacteristic
667C2C127×#255312yes—
668C2C127×#255612yes—
669C2C127×#256411yescharacteristic
670C2C127×#261111yescharacteristic
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
2. C2×#389×C127C2semidirect
3. C2×#387×C127C2semidirect
6. C127×#1445C2semidirect
7. C127×#1444C2semidirect
10. C127×C4⋊#95C2semidirect
11. C4×#95×C127C2semidirect
25. #399×C127C4semidirect
68. C2×C4⋊C4×C127C2×C4semidirect
69. C2×C4⋊C4×C127C2×C4semidirect
97. #95×C127C2×C4semidirect
323. #14230C127direct (N × H)
337. C2×#389C2×C127semidirect
338. C2×#387C2×C127semidirect
341. #1445C2×C127semidirect
342. #1444C2×C127semidirect
345. C4⋊#95C2×C127semidirect
346. C4×#95C2×C127semidirect
347. C127#14230direct (N × H)
361. #399C4×C127semidirect
404. C2×C4⋊C4C2×C4×C127semidirect
405. C2×C4⋊C4C2×C4×C127semidirect
433. #95C2×C4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#399×C1272
C2×#389×C1272
C2×#387×C1272
C2×#385×C1272
C2×C4×C22⋊C4×C1272
C127×#14452
C127×#14442
C127×#14392
C127×#14372
C127×C4⋊#952
C4×#95×C1272
#14230127