Finite Group Databasebeta

← C127×#16802 #44580475

Subgroups — C127×#16802 #44580475

Order 32512.

1598 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#400×C127C211yesmaximal, characteristic, complemented
2C2×#394×C127C211yesmaximal, characteristic
3C2×#390×C127C211yesmaximal, characteristic
4C2×#387×C127C211yesmaximal, characteristic, complemented
5C127×#1445C211yesmaximal, characteristic, complemented
6C127×#1440C212yesmaximal, complemented
7C127×#1439C212yesmaximal, complemented
8C127×#1439C212yesmaximal, complemented
9C127×#1439C212yesmaximal, complemented
10C127×#1438C211yesmaximal, characteristic
11C127×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×D4×C127C2211yescharacteristic
13C22×C4⋊C4×C127C2211yescharacteristic
14C22×C4⋊C4×C127C2211yescharacteristic
15C22×C4⋊C4×C127C2212yes—
16C22×C4⋊C4×C127C2211yescharacteristic
17C22×C22⋊C4×C127C2212yes—
18C22×C22⋊C4×C127C2212yes—
19C22×C22⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2212yes—
22C22×C22⋊C4×C127C2212yes—
23C22×C42×C127C2211yescharacteristic
24#400×C127—24no—
25#394×C127—24no—
26#390×C127—24no—
27#387×C127—24no—
28C2×#95×C127C2211yescharacteristic
29C2×#95×C127C2211yescharacteristic
30C2×#95×C127C2212yes—
31C2×#95×C127C2212yes—
32C2×#95×C127C2211yescharacteristic
33C2×#95×C127C2211yescharacteristic
34C2×#95×C127C2211yescharacteristic
35C2×#95×C127C2211yescharacteristic
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C2×#95×C127C2212yes—
39C25×C127C2312yes—
40C22×D4×C127—24no—
41C22×D4×C127—22no—
42C22×D4×C127—22no—
43C22×D4×C127—22no—
44C22×D4×C127—42no—
45C23×C4×C127C2312yes—
46C23×C4×C127C2312yes—
47C23×C4×C127C2311yescharacteristic
48C23×C4×C127C2312yes—
49C23×C4×C127C2311yescharacteristic
50C23×C4×C127C2311yescharacteristic
51C23×C4×C127C2311yescharacteristic
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2311yescharacteristic
54C23×C4×C127C2311yescharacteristic
55C2×C4⋊C4×C127—22no—
56C2×C4⋊C4×C127—22no—
57C2×C4⋊C4×C127—22no—
58C2×C4⋊C4×C127—22no—
59C2×C4⋊C4×C127—22no—
60C2×C4⋊C4×C127—24no—
61C2×C4⋊C4×C127—22no—
62C2×C4⋊C4×C127—42no—
63C2×C4⋊C4×C127—42no—
64C2×C4⋊C4×C127—42no—
65C2×C4⋊C4×C127D414yes—
66C2×C22⋊C4×C127—24no—
67C2×C22⋊C4×C127—24no—
68C2×C22⋊C4×C127—24no—
69C2×C22⋊C4×C127—24no—
70C2×C22⋊C4×C127—24no—
71C2×C22⋊C4×C127—24no—
72C2×C22⋊C4×C127—24no—
73C2×C22⋊C4×C127—24no—
74C2×C22⋊C4×C127—42no—
75C2×C22⋊C4×C127—42no—
76C2×C22⋊C4×C127—42no—
77C2×C22⋊C4×C127—42no—
78C2×C22⋊C4×C127—42no—
79C2×C22⋊C4×C127—42no—
80C2×C22⋊C4×C127—42no—
81C2×C22⋊C4×C127—42no—
82C2×C22⋊C4×C127—42no—
83C2×C22⋊C4×C127—42no—
84C2×C42×C127—42no—
85C2×C42×C127D414yes—
86#95×C127—22no—
87#95×C127—22no—
88#95×C127—22no—
89#95×C127—22no—
90#95×C127—22no—
91#95×C127—22no—
92#95×C127—24no—
93#95×C127—24no—
94#95×C127—42no—
95#95×C127—42no—
96#95×C127—42no—
97C24×C127—22no—
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×C127—22no—
111C24×C127#4114yes—
112C24×C127C2411yescharacteristic
113C2×D4×C127—28no—
114C2×D4×C127—48no—
115C2×D4×C127—48no—
116C2×D4×C127—44no—
117C2×D4×C127—44no—
118C22×C4×C127—22no—
119C22×C4×C127—22no—
120C22×C4×C127—22no—
121C22×C4×C127—21no—
122C22×C4×C127—21no—
123C22×C4×C127—21no—
124C22×C4×C127—21no—
125C22×C4×C127—22no—
126C22×C4×C127—21no—
127C22×C4×C127—21no—
128C22×C4×C127—21no—
129C22×C4×C127—22no—
130C22×C4×C127—21no—
131C22×C4×C127—21no—
132C22×C4×C127—22no—
133C22×C4×C127—22no—
134C22×C4×C127—21no—
135C22×C4×C127—21no—
136C22×C4×C127—21no—
137C22×C4×C127—21no—
138C22×C4×C127—22no—
139C22×C4×C127—22no—
140C22×C4×C127—21no—
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—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—21no—
159C22×C4×C127—21no—
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—21no—
167C22×C4×C127—21no—
168C22×C4×C127C2×D412yes—
169C22×C4×C127C2×D412yes—
170C22×C4×C127C2×D412yes—
171C22×C4×C127C2×D412yes—
172C22×C4×C127C2×D412yes—
173C22×C4×C127C2×D412yes—
174C22×C4×C127#4112yes—
175C22×C4×C127#4114yes—
176C4⋊C4×C127—28no—
177C4⋊C4×C127—48no—
178C4⋊C4×C127—44no—
179C4⋊C4×C127—44no—
180C22⋊C4×C127—48no—
181C22⋊C4×C127—48no—
182C22⋊C4×C127—48no—
183C22⋊C4×C127—48no—
184C22⋊C4×C127—48no—
185C22⋊C4×C127—48no—
186C42×C127—44no—
187C23×C127—24no—
188C23×C127—24no—
189C23×C127—24no—
190C23×C127—24no—
191C23×C127—24no—
192C23×C127—24no—
193C23×C127—24no—
194C23×C127—42no—
195C23×C127—42no—
196C23×C127—42no—
197C23×C127—42no—
198C23×C127—42no—
199C23×C127—42no—
200C23×C127—42no—
201C23×C127—42no—
202C23×C127—42no—
203C23×C127—42no—
204C23×C127—42no—
205C23×C127—42no—
206C23×C127—42no—
207C23×C127—42no—
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×C127C22×D411yescharacteristic
223C23×C127C22×D411yescharacteristic
224C23×C127C2×#4111yescharacteristic
225C23×C127C2×#4112yes—
226C23×C127C2×#4112yes—
227C23×C127H(5,𝔽2)12yes—
228C23×C127H(5,𝔽2)11yescharacteristic
229C23×C127H(5,𝔽2)11yescharacteristic
230C23×C127H(5,𝔽2)12yes—
231C23×C1272−1+411yescharacteristic
232C23×C1272−1+411yescharacteristic
233D4×C127—416no—
234C2×C4×C127—22no—
235C2×C4×C127—22no—
236C2×C4×C127—22no—
237C2×C4×C127—22no—
238C2×C4×C127—24no—
239C2×C4×C127—24no—
240C2×C4×C127—24no—
241C2×C4×C127—24no—
242C2×C4×C127—22no—
243C2×C4×C127—22no—
244C2×C4×C127—22no—
245C2×C4×C127—22no—
246C2×C4×C127—22no—
247C2×C4×C127—22no—
248C2×C4×C127—22no—
249C2×C4×C127—24no—
250C2×C4×C127—41no—
251C2×C4×C127—41no—
252C2×C4×C127—41no—
253C2×C4×C127—41no—
254C2×C4×C127—41no—
255C2×C4×C127—41no—
256C2×C4×C127—42no—
257C2×C4×C127—42no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—41no—
261C2×C4×C127—42no—
262C2×C4×C127—41no—
263C2×C4×C127—42no—
264C2×C4×C127—42no—
265C2×C4×C127—41no—
266C2×C4×C127—42no—
267C2×C4×C127—41no—
268C2×C4×C127—41no—
269C2×C4×C127—41no—
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×C127—42no—
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—42no—
289C2×C4×C127—42no—
290C2×C4×C127#12114yes—
291C2×C4×C127#12414yes—
292C22×C127—44no—
293C22×C127—44no—
294C22×C127—44no—
295C22×C127—44no—
296C22×C127—44no—
297C22×C127—44no—
298C22×C127—44no—
299C22×C127—82no—
300C22×C127—82no—
301C22×C127—82no—
302C22×C127—82no—
303C22×C127—82no—
304C22×C127—82no—
305C22×C127—82no—
306C22×C127—82no—
307C22×C127C2×#12111yescharacteristic
308C22×C127#52511yescharacteristic
309C22×C127C2×#12411yescharacteristic
310C22×C127#53411yescharacteristic
311C22×C127#53511yescharacteristic
312C22×C127#53511yescharacteristic
313C22×C127#53611yescharacteristic
314C22×C127#53711yescharacteristic
315C22×C127#53711yescharacteristic
316C22×C127#53812yes—
317C22×C127#53812yes—
318C22×C127#53912yes—
319C22×C127#53912yes—
320C22×C127#54211yescharacteristic
321C22×C127#54211yescharacteristic
322C22×C127#54612yes—
323C22×C127#55012yes—
324C22×C127#55112yes—
325C22×C127#55212yes—
326C22×C127#55312yes—
327C22×C127#55912yes—
328C22×C127#56012yes—
329C22×C127#56212yes—
330C4×C127—24no—
331C4×C127—24no—
332C4×C127—42no—
333C4×C127—42no—
334C4×C127—42no—
335C4×C127—81no—
336C4×C127—82no—
337C4×C127—82no—
338C4×C127—82no—
339C4×C127—81no—
340#16802C12711yesmaximal, characteristic, direct product factor, Sylow
341C2×C127—84no—
342C2×C127#253411yescharacteristic
343C2×C127#254811yescharacteristic
344C2×C127#256211yescharacteristic
345C2×C127#262011yescharacteristic
346C2×C127#263611yescharacteristic
347C2×C127#263911yescharacteristic
348C2×C127#269412yes—
349C2×C127#271412yes—
350C2×C127#275112yes—
351C2×C127#279612yes—
352C2×C127#281311yescharacteristic
353C2×#400C2×C12711yescharacteristic, complemented
354C2×#394C2×C12711yescharacteristic
355C2×#390C2×C12711yescharacteristic
356C2×#387C2×C12711yescharacteristic, complemented
357#1445C2×C12711yescharacteristic, complemented
358#1440C2×C12712yescomplemented
359#1439C2×C12712yescomplemented
360#1439C2×C12712yescomplemented
361#1439C2×C12712yescomplemented
362#1438C2×C12711yescharacteristic
363C4⋊#95C2×C12711yescharacteristic, complemented
364C127#1680211yescharacteristic, direct product factor, Sylow
365C23×D4C22×C12711yescharacteristic
366C22×C4⋊C4C22×C12711yescharacteristic
367C22×C4⋊C4C22×C12711yescharacteristic
368C22×C4⋊C4C22×C12712yes—
369C22×C4⋊C4C22×C12711yescharacteristic
370C22×C22⋊C4C22×C12712yes—
371C22×C22⋊C4C22×C12712yes—
372C22×C22⋊C4C22×C12712yes—
373C22×C22⋊C4C22×C12712yes—
374C22×C22⋊C4C22×C12712yes—
375C22×C22⋊C4C22×C12712yes—
376C22×C42C22×C12711yescharacteristic
377#400—24no—
378#394—24no—
379#390—24no—
380#387—24no—
381C2×#95C22×C12711yescharacteristic
382C2×#95C22×C12711yescharacteristic
383C2×#95C22×C12712yes—
384C2×#95C22×C12712yes—
385C2×#95C22×C12711yescharacteristic
386C2×#95C22×C12711yescharacteristic
387C2×#95C22×C12711yescharacteristic
388C2×#95C22×C12711yescharacteristic
389C2×#95C22×C12712yes—
390C2×#95C22×C12712yes—
391C2×#95C22×C12712yes—
392C25C23×C12712yes—
393C22×D4—24no—
394C22×D4—22no—
395C22×D4—22no—
396C22×D4—22no—
397C22×D4—42no—
398C23×C4C23×C12712yes—
399C23×C4C23×C12712yes—
400C23×C4C23×C12711yescharacteristic
401C23×C4C23×C12712yes—
402C23×C4C23×C12711yescharacteristic
403C23×C4C23×C12711yescharacteristic
404C23×C4C23×C12711yescharacteristic
405C23×C4C23×C12711yescharacteristic
406C23×C4C23×C12711yescharacteristic
407C23×C4C23×C12711yescharacteristic
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—24no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—42no—
416C2×C4⋊C4—42no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4D4×C12714yes—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—42no—
428C2×C22⋊C4—42no—
429C2×C22⋊C4—42no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4—42no—
432C2×C22⋊C4—42no—
433C2×C22⋊C4—42no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C42—42no—
438C2×C42D4×C12714yes—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—24no—
446#95—24no—
447#95—42no—
448#95—42no—
449#95—42no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24#41×C12714yes—
465C24C24×C12711yescharacteristic
466C2×D4—28no—
467C2×D4—48no—
468C2×D4—48no—
469C2×D4—44no—
470C2×D4—44no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4C2×D4×C12712yes—
522C22×C4C2×D4×C12712yes—
523C22×C4C2×D4×C12712yes—
524C22×C4C2×D4×C12712yes—
525C22×C4C2×D4×C12712yes—
526C22×C4C2×D4×C12712yes—
527C22×C4#41×C12712yes—
528C22×C4#41×C12714yes—
529C4⋊C4—28no—
530C4⋊C4—48no—
531C4⋊C4—44no—
532C4⋊C4—44no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C22⋊C4—48no—
539C42—44no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
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—
572C23—42no—
573C23—42no—
574C23—42no—
575C23C22×D4×C12711yescharacteristic
576C23C22×D4×C12711yescharacteristic
577C23C2×#41×C12711yescharacteristic
578C23C2×#41×C12712yes—
579C23C2×#41×C12712yes—
580C23H(5,𝔽2)×C12712yes—
581C23H(5,𝔽2)×C12711yescharacteristic
582C23H(5,𝔽2)×C12711yescharacteristic
583C23H(5,𝔽2)×C12712yes—
584C232−1+4×C12711yescharacteristic
585C232−1+4×C12711yescharacteristic
586D4—416no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4#121×C12714yes—
644C2×C4#124×C12714yes—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22C2×#121×C12711yescharacteristic
661C22#525×C12711yescharacteristic
662C22C2×#124×C12711yescharacteristic
663C22#534×C12711yescharacteristic
664C22#535×C12711yescharacteristic
665C22#535×C12711yescharacteristic
666C22#536×C12711yescharacteristic
667C22#537×C12711yescharacteristic
668C22#537×C12711yescharacteristic
669C22#538×C12712yes—
670C22#538×C12712yes—
671C22#539×C12712yes—
672C22#539×C12712yes—
673C22#542×C12711yescharacteristic
674C22#542×C12711yescharacteristic
675C22#546×C12712yes—
676C22#550×C12712yes—
677C22#551×C12712yes—
678C22#552×C12712yes—
679C22#553×C12712yes—
680C22#559×C12712yes—
681C22#560×C12712yes—
682C22#562×C12712yes—
683C4—24no—
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—81no—
689C4—82no—
690C4—82no—
691C4—82no—
692C4—81no—
693C2—84no—
694C2C127×#253411yescharacteristic
695C2C127×#254811yescharacteristic
696C2C127×#256211yescharacteristic
697C2C127×#262011yescharacteristic
698C2C127×#263611yescharacteristic
699C2C127×#263911yescharacteristic
700C2C127×#269412yes—
701C2C127×#271412yes—
702C2C127×#275112yes—
703C2C127×#279612yes—
704C2C127×#281311yescharacteristic
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. C2×#400×C127C2semidirect
4. C2×#387×C127C2semidirect
5. C127×#1445C2semidirect
6. C127×#1440C2semidirect
7. C127×#1439C2semidirect
8. C127×#1439C2semidirect
9. C127×#1439C2semidirect
11. C127×C4⋊#95C2semidirect
340. #16802C127direct (N × H)
353. C2×#400C2×C127semidirect
356. C2×#387C2×C127semidirect
357. #1445C2×C127semidirect
358. #1440C2×C127semidirect
359. #1439C2×C127semidirect
360. #1439C2×C127semidirect
361. #1439C2×C127semidirect
363. C4⋊#95C2×C127semidirect
364. C127#16802direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#400×C1272
C2×#394×C1272
C2×#390×C1272
C2×#387×C1272
C127×#14452
C127×#14402
C127×#14392
C127×#14382
C127×C4⋊#952
#16802127