Finite Group Databasebeta

← C127×#13822 #44577495

Subgroups — C127×#13822 #44577495

Order 32512.

1906 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#388×C127C212yesmaximal
2C2×C4×C4⋊C4×C127C211yesmaximal, characteristic, complemented
3C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
4C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
5C127×#1437C212yesmaximal
6C127×#1436C212yesmaximal, complemented
7C127×#1434C211yesmaximal, characteristic, complemented
8C127×#1434C211yesmaximal, characteristic, complemented
9C127×C22⋊#95C211yesmaximal, characteristic
10C4×#95×C127C212yesmaximal, complemented
11C4×#95×C127C211yesmaximal, characteristic, complemented
12C24×C4×C127C2211yescharacteristic
13C22×C4⋊C4×C127C2212yes—
14C22×C22⋊C4×C127C2211yescharacteristic
15C22×C22⋊C4×C127C2212yes—
16C22×C22⋊C4×C127C2212yes—
17C22×C22⋊C4×C127C2211yescharacteristic
18C22×C42×C127C2212yes—
19C22×C42×C127C2212yes—
20C22×C42×C127C2211yescharacteristic
21C22×C42×C127C2211yescharacteristic
22C22×C42×C127C2212yes—
23#388×C127C4116yescomplemented
24C4×C4⋊C4×C127—24no—
25C4×C22⋊C4×C127—24no—
26C4×C22⋊C4×C127C418yescomplemented
27C2×#95×C127C2211yescharacteristic
28C2×#95×C127C2212yes—
29C2×#95×C127C2212yes—
30C2×#95×C127C2212yes—
31C2×#95×C127C2211yescharacteristic
32C2×#95×C127C2211yescharacteristic
33C2×#95×C127C2212yes—
34C2×#95×C127C2211yescharacteristic
35C2×#95×C127C2211yescharacteristic
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C2×#95×C127C2211yescharacteristic
39C25×C127C2311yescharacteristic
40C23×C4×C127—22no—
41C23×C4×C127—24no—
42C23×C4×C127—22no—
43C23×C4×C127—42no—
44C23×C4×C127C2×C414yes—
45C23×C4×C127C2312yes—
46C23×C4×C127C2312yes—
47C23×C4×C127C2312yes—
48C23×C4×C127C2311yescharacteristic
49C23×C4×C127C2311yescharacteristic
50C23×C4×C127C2311yescharacteristic
51C23×C4×C127C2312yes—
52C23×C4×C127C2311yescharacteristic
53C23×C4×C127C2311yescharacteristic
54C23×C4×C127C2311yescharacteristic
55C2×C4⋊C4×C127—24no—
56C2×C4⋊C4×C127—24no—
57C2×C4⋊C4×C127C2×C418yescomplemented
58C2×C22⋊C4×C127—24no—
59C2×C22⋊C4×C127—22no—
60C2×C22⋊C4×C127—22no—
61C2×C22⋊C4×C127—24no—
62C2×C22⋊C4×C127—42no—
63C2×C22⋊C4×C127—42no—
64C2×C22⋊C4×C127C2×C414yes—
65C2×C22⋊C4×C127C2×C418yes—
66C2×C22⋊C4×C127C2×C418yes—
67C2×C22⋊C4×C127C2×C414yes—
68C2×C22⋊C4×C127C2×C418yes—
69C2×C42×C127—22no—
70C2×C42×C127—22no—
71C2×C42×C127—24no—
72C2×C42×C127—24no—
73C2×C42×C127—24no—
74C2×C42×C127—24no—
75C2×C42×C127—42no—
76C2×C42×C127—42no—
77C2×C42×C127—42no—
78C2×C42×C127—42no—
79C2×C42×C127—42no—
80C2×C42×C127C2×C414yes—
81C2×C42×C127C2×C414yes—
82C2×C42×C127C2×C418yescomplemented
83#95×C127—22no—
84#95×C127—22no—
85#95×C127—24no—
86#95×C127—24no—
87#95×C127—22no—
88#95×C127—24no—
89#95×C127—42no—
90#95×C127C2×C414yes—
91#95×C127C2×C414yes—
92#95×C127C2×C418yescomplemented
93#95×C127C2×C418yescomplemented
94#95×C127D414yes—
95C24×C127—21no—
96C24×C127—21no—
97C24×C127—21no—
98C24×C127—22no—
99C24×C127—22no—
100C24×C127—21no—
101C24×C127—21no—
102C24×C127—22no—
103C24×C127—21no—
104C24×C127C22×C414yes—
105C24×C127C22×C412yes—
106C24×C127C2411yescharacteristic
107C22×C4×C127—21no—
108C22×C4×C127—21no—
109C22×C4×C127—21no—
110C22×C4×C127—21no—
111C22×C4×C127—21no—
112C22×C4×C127—22no—
113C22×C4×C127—22no—
114C22×C4×C127—22no—
115C22×C4×C127—22no—
116C22×C4×C127—21no—
117C22×C4×C127—22no—
118C22×C4×C127—21no—
119C22×C4×C127—22no—
120C22×C4×C127—22no—
121C22×C4×C127—21no—
122C22×C4×C127—22no—
123C22×C4×C127—22no—
124C22×C4×C127—21no—
125C22×C4×C127—21no—
126C22×C4×C127—22no—
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—22no—
136C22×C4×C127—22no—
137C22×C4×C127—21no—
138C22×C4×C127—21no—
139C22×C4×C127—22no—
140C22×C4×C127—22no—
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—28no—
149C22×C4×C127—28no—
150C22×C4×C127—44no—
151C22×C4×C127—48no—
152C22×C4×C127—48no—
153C22×C4×C127C22×C412yes—
154C22×C4×C127C22×C414yes—
155C22×C4×C127C22×C414yes—
156C22×C4×C127C22×C414yes—
157C22×C4×C127C22×C412yes—
158C22×C4×C127C22×C412yes—
159C22×C4×C127C22×C414yes—
160C22×C4×C127C22×C414yes—
161C22×C4×C127C22×C412yes—
162C22×C4×C127C22×C412yes—
163C22×C4×C127C22×C412yes—
164C22×C4×C127C22×C414yes—
165C22×C4×C127C2×D412yes—
166C22×C4×C127C2×D414yes—
167C22×C4×C127#4112yes—
168C22×C4×C127#4114yes—
169C22×C4×C127#4112yes—
170C22×C4×C127#4112yes—
171C22×C4×C127#4114yes—
172C4⋊C4×C127—216no—
173C22⋊C4×C127—28no—
174C22⋊C4×C127—216no—
175C22⋊C4×C127—48no—
176C22⋊C4×C127C42116yescomplemented
177C42×C127—28no—
178C42×C127—44no—
179C42×C127—48no—
180C42×C127—48no—
181C42×C127—48no—
182C23×C127—22no—
183C23×C127—22no—
184C23×C127—24no—
185C23×C127—22no—
186C23×C127—24no—
187C23×C127—24no—
188C23×C127—22no—
189C23×C127—24no—
190C23×C127—24no—
191C23×C127—22no—
192C23×C127—22no—
193C23×C127—24no—
194C23×C127—42no—
195C23×C127—41no—
196C23×C127—41no—
197C23×C127—42no—
198C23×C127—41no—
199C23×C127—42no—
200C23×C127—41no—
201C23×C127—42no—
202C23×C127—42no—
203C23×C127—42no—
204C23×C127C2×C4214yes—
205C23×C127C23×C411yescharacteristic
206C23×C127C23×C412yes—
207C23×C127C22×D411yescharacteristic
208C23×C127C2×#4112yes—
209C23×C127C2×#4111yescharacteristic
210C23×C127C2×#4111yescharacteristic
211C23×C127C2×#4111yescharacteristic
212C23×C127C2×#4112yes—
213C23×C127H(5,𝔽2)12yes—
214C23×C127H(5,𝔽2)11yescharacteristic
215C23×C1272−1+411yescharacteristic
216C2×C4×C127—22no—
217C2×C4×C127—22no—
218C2×C4×C127—22no—
219C2×C4×C127—24no—
220C2×C4×C127—22no—
221C2×C4×C127—24no—
222C2×C4×C127—22no—
223C2×C4×C127—24no—
224C2×C4×C127—22no—
225C2×C4×C127—24no—
226C2×C4×C127—22no—
227C2×C4×C127—24no—
228C2×C4×C127—22no—
229C2×C4×C127—22no—
230C2×C4×C127—22no—
231C2×C4×C127—24no—
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—24no—
239C2×C4×C127—24no—
240C2×C4×C127—22no—
241C2×C4×C127—22no—
242C2×C4×C127—24no—
243C2×C4×C127—24no—
244C2×C4×C127—22no—
245C2×C4×C127—24no—
246C2×C4×C127—24no—
247C2×C4×C127—22no—
248C2×C4×C127—24no—
249C2×C4×C127—24no—
250C2×C4×C127—24no—
251C2×C4×C127—24no—
252C2×C4×C127—24no—
253C2×C4×C127—22no—
254C2×C4×C127—24no—
255C2×C4×C127—24no—
256C2×C4×C127—416no—
257C2×C4×C127—42no—
258C2×C4×C127—42no—
259C2×C4×C127—42no—
260C2×C4×C127—42no—
261C2×C4×C127—42no—
262C2×C4×C127—42no—
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×C127C2×C4214yes—
272C2×C4×C127C2×C4214yes—
273C2×C4×C127#11714yes—
274C2×C4×C127#11714yes—
275C2×C4×C127C4×D414yes—
276C2×C4×C127C4×D418yes—
277C22×C127—24no—
278C22×C127—24no—
279C22×C127—24no—
280C22×C127—42no—
281C22×C127—42no—
282C22×C127—42no—
283C22×C127—42no—
284C22×C127—44no—
285C22×C127—44no—
286C22×C127—44no—
287C22×C127—44no—
288C22×C127C22×C4211yescharacteristic
289C22×C127C2×#11711yescharacteristic
290C22×C127C2×#11711yescharacteristic
291C22×C127C2×C4×D411yescharacteristic
292C22×C127C2×C4×D412yes—
293C22×C127C4×#4111yescharacteristic
294C22×C127C4×#4112yes—
295C22×C127C4×#4112yes—
296C22×C127C4×#4112yes—
297C22×C127#51811yescharacteristic
298C22×C127#51812yes—
299C22×C127#52011yescharacteristic
300C22×C127#52012yes—
301C22×C127#54612yes—
302C22×C127#54611yescharacteristic
303C22×C127#54811yescharacteristic
304C22×C127#55112yes—
305C22×C127#55211yescharacteristic
306C22×C127#55312yes—
307C22×C127#55311yescharacteristic
308C22×C127#55312yes—
309C22×C127#55612yes—
310C22×C127#55912yes—
311C4×C127—24no—
312C4×C127—24no—
313C4×C127—24no—
314C4×C127—28no—
315C4×C127—24no—
316C4×C127—24no—
317C4×C127—42no—
318C4×C127—44no—
319C4×C127—44no—
320C4×C127—44no—
321#13822C12711yesmaximal, characteristic, direct product factor, Sylow
322C2×C127—44no—
323C2×C127C4×#11711yescharacteristic
324C2×C127C42×D411yescharacteristic
325C2×C127#227511yescharacteristic
326C2×C127#234211yescharacteristic
327C2×C127#234711yescharacteristic
328C2×C127#235211yescharacteristic
329C2×C127#235711yescharacteristic
330C2×C127#236412yes—
331C2×C127#236712yes—
332C2×C127#237312yes—
333C2×C127#237412yes—
334C2×#388C2×C12712yes—
335C2×C4×C4⋊C4C2×C12711yescharacteristic, complemented
336C2×C4×C22⋊C4C2×C12711yescharacteristic
337C2×C4×C22⋊C4C2×C12711yescharacteristic
338#1437C2×C12712yes—
339#1436C2×C12712yescomplemented
340#1434C2×C12711yescharacteristic, complemented
341#1434C2×C12711yescharacteristic, complemented
342C22⋊#95C2×C12711yescharacteristic
343C4×#95C2×C12711yescharacteristic, complemented
344C4×#95C2×C12712yescomplemented
345C127#1382211yescharacteristic, direct product factor, Sylow
346C24×C4C22×C12711yescharacteristic
347C22×C4⋊C4C22×C12712yes—
348C22×C22⋊C4C22×C12711yescharacteristic
349C22×C22⋊C4C22×C12712yes—
350C22×C22⋊C4C22×C12712yes—
351C22×C22⋊C4C22×C12711yescharacteristic
352C22×C42C22×C12712yes—
353C22×C42C22×C12712yes—
354C22×C42C22×C12711yescharacteristic
355C22×C42C22×C12711yescharacteristic
356C22×C42C22×C12712yes—
357#388C4×C127116yescomplemented
358C4×C4⋊C4—24no—
359C4×C22⋊C4—24no—
360C4×C22⋊C4C4×C12718yescomplemented
361C2×#95C22×C12711yescharacteristic
362C2×#95C22×C12712yes—
363C2×#95C22×C12712yes—
364C2×#95C22×C12712yes—
365C2×#95C22×C12711yescharacteristic
366C2×#95C22×C12711yescharacteristic
367C2×#95C22×C12712yes—
368C2×#95C22×C12711yescharacteristic
369C2×#95C22×C12711yescharacteristic
370C2×#95C22×C12712yes—
371C2×#95C22×C12712yes—
372C2×#95C22×C12711yescharacteristic
373C25C23×C12711yescharacteristic
374C23×C4—22no—
375C23×C4—24no—
376C23×C4—22no—
377C23×C4—42no—
378C23×C4C2×C4×C12714yes—
379C23×C4C23×C12712yes—
380C23×C4C23×C12712yes—
381C23×C4C23×C12712yes—
382C23×C4C23×C12711yescharacteristic
383C23×C4C23×C12711yescharacteristic
384C23×C4C23×C12711yescharacteristic
385C23×C4C23×C12712yes—
386C23×C4C23×C12711yescharacteristic
387C23×C4C23×C12711yescharacteristic
388C23×C4C23×C12711yescharacteristic
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4C2×C4×C12718yescomplemented
392C2×C22⋊C4—24no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—24no—
396C2×C22⋊C4—42no—
397C2×C22⋊C4—42no—
398C2×C22⋊C4C2×C4×C12714yes—
399C2×C22⋊C4C2×C4×C12718yes—
400C2×C22⋊C4C2×C4×C12718yes—
401C2×C22⋊C4C2×C4×C12714yes—
402C2×C22⋊C4C2×C4×C12718yes—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—24no—
406C2×C42—24no—
407C2×C42—24no—
408C2×C42—24no—
409C2×C42—42no—
410C2×C42—42no—
411C2×C42—42no—
412C2×C42—42no—
413C2×C42—42no—
414C2×C42C2×C4×C12714yes—
415C2×C42C2×C4×C12714yes—
416C2×C42C2×C4×C12718yescomplemented
417#95—22no—
418#95—22no—
419#95—24no—
420#95—24no—
421#95—22no—
422#95—24no—
423#95—42no—
424#95C2×C4×C12714yes—
425#95C2×C4×C12714yes—
426#95C2×C4×C12718yescomplemented
427#95C2×C4×C12718yescomplemented
428#95D4×C12714yes—
429C24—21no—
430C24—21no—
431C24—21no—
432C24—22no—
433C24—22no—
434C24—21no—
435C24—21no—
436C24—22no—
437C24—21no—
438C24C22×C4×C12714yes—
439C24C22×C4×C12712yes—
440C24C24×C12711yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
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—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—44no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4C22×C4×C12712yes—
488C22×C4C22×C4×C12714yes—
489C22×C4C22×C4×C12714yes—
490C22×C4C22×C4×C12714yes—
491C22×C4C22×C4×C12712yes—
492C22×C4C22×C4×C12712yes—
493C22×C4C22×C4×C12714yes—
494C22×C4C22×C4×C12714yes—
495C22×C4C22×C4×C12712yes—
496C22×C4C22×C4×C12712yes—
497C22×C4C22×C4×C12712yes—
498C22×C4C22×C4×C12714yes—
499C22×C4C2×D4×C12712yes—
500C22×C4C2×D4×C12714yes—
501C22×C4#41×C12712yes—
502C22×C4#41×C12714yes—
503C22×C4#41×C12712yes—
504C22×C4#41×C12712yes—
505C22×C4#41×C12714yes—
506C4⋊C4—216no—
507C22⋊C4—28no—
508C22⋊C4—216no—
509C22⋊C4—48no—
510C22⋊C4C42×C127116yescomplemented
511C42—28no—
512C42—44no—
513C42—48no—
514C42—48no—
515C42—48no—
516C23—22no—
517C23—22no—
518C23—24no—
519C23—22no—
520C23—24no—
521C23—24no—
522C23—22no—
523C23—24no—
524C23—24no—
525C23—22no—
526C23—22no—
527C23—24no—
528C23—42no—
529C23—41no—
530C23—41no—
531C23—42no—
532C23—41no—
533C23—42no—
534C23—41no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23C2×C42×C12714yes—
539C23C23×C4×C12711yescharacteristic
540C23C23×C4×C12712yes—
541C23C22×D4×C12711yescharacteristic
542C23C2×#41×C12712yes—
543C23C2×#41×C12711yescharacteristic
544C23C2×#41×C12711yescharacteristic
545C23C2×#41×C12711yescharacteristic
546C23C2×#41×C12712yes—
547C23H(5,𝔽2)×C12712yes—
548C23H(5,𝔽2)×C12711yescharacteristic
549C232−1+4×C12711yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—22no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—416no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4C2×C42×C12714yes—
606C2×C4C2×C42×C12714yes—
607C2×C4#117×C12714yes—
608C2×C4#117×C12714yes—
609C2×C4C4×D4×C12714yes—
610C2×C4C4×D4×C12718yes—
611C22—24no—
612C22—24no—
613C22—24no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—44no—
622C22C22×C42×C12711yescharacteristic
623C22C2×#117×C12711yescharacteristic
624C22C2×#117×C12711yescharacteristic
625C22C2×C4×D4×C12711yescharacteristic
626C22C2×C4×D4×C12712yes—
627C22C4×#41×C12711yescharacteristic
628C22C4×#41×C12712yes—
629C22C4×#41×C12712yes—
630C22C4×#41×C12712yes—
631C22#518×C12711yescharacteristic
632C22#518×C12712yes—
633C22#520×C12711yescharacteristic
634C22#520×C12712yes—
635C22#546×C12712yes—
636C22#546×C12711yescharacteristic
637C22#548×C12711yescharacteristic
638C22#551×C12712yes—
639C22#552×C12711yescharacteristic
640C22#553×C12712yes—
641C22#553×C12711yescharacteristic
642C22#553×C12712yes—
643C22#556×C12712yes—
644C22#559×C12712yes—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—28no—
649C4—24no—
650C4—24no—
651C4—42no—
652C4—44no—
653C4—44no—
654C4—44no—
655C2—44no—
656C2C4×#117×C12711yescharacteristic
657C2C42×D4×C12711yescharacteristic
658C2C127×#227511yescharacteristic
659C2C127×#234211yescharacteristic
660C2C127×#234711yescharacteristic
661C2C127×#235211yescharacteristic
662C2C127×#235711yescharacteristic
663C2C127×#236412yes—
664C2C127×#236712yes—
665C2C127×#237312yes—
666C2C127×#237412yes—
subgroupG/H
center, socleC24×C127C24
commutatorC22C22×C42×C127
Frattini, cosocleC24C24×C127
prime radicalC25×C127C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×C4⋊C4×C127C2semidirect
6. C127×#1436C2semidirect
7. C127×#1434C2semidirect
8. C127×#1434C2semidirect
10. C4×#95×C127C2semidirect
11. C4×#95×C127C2semidirect
23. #388×C127C4semidirect
26. C4×C22⋊C4×C127C4semidirect
57. C2×C4⋊C4×C127C2×C4semidirect
82. C2×C42×C127C2×C4semidirect
92. #95×C127C2×C4semidirect
93. #95×C127C2×C4semidirect
176. C22⋊C4×C127C42semidirect
321. #13822C127direct (N × H)
335. C2×C4×C4⋊C4C2×C127semidirect
339. #1436C2×C127semidirect
340. #1434C2×C127semidirect
341. #1434C2×C127semidirect
343. C4×#95C2×C127semidirect
344. C4×#95C2×C127semidirect
345. C127#13822direct (N × H)
357. #388C4×C127semidirect
360. C4×C22⋊C4C4×C127semidirect
391. C2×C4⋊C4C2×C4×C127semidirect
416. C2×C42C2×C4×C127semidirect
426. #95C2×C4×C127semidirect
427. #95C2×C4×C127semidirect
510. C22⋊C4C42×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#388×C1272
C2×C4×C4⋊C4×C1272
C2×C4×C22⋊C4×C1272
C127×#14372
C127×#14362
C127×#14342
C127×C22⋊#952
C4×#95×C1272
#13822127