Finite Group Databasebeta

← C127×#19771 #44583444

Subgroups — C127×#19771 #44583444

Order 32512.

736 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3325C211yesmaximal, characteristic, complemented
2C127×#3303C211yesmaximal, characteristic, complemented
3C127×#3294C211yesmaximal, characteristic, complemented
4D4×D8×C127C211yesmaximal, characteristic, complemented
5C127×#1717C211yesmaximal, characteristic, complemented
6C127×#1701C211yesmaximal, characteristic, complemented
7C127×#1683C211yesmaximal, characteristic, complemented
8C127×#1677C211yesmaximal, characteristic, complemented
9C127×#1667C211yesmaximal, characteristic, complemented
10C127×#1639C211yesmaximal, characteristic, complemented
11C127×#1629C211yesmaximal, characteristic, complemented
12C127×#1625C211yesmaximal, characteristic, complemented
13C127×#1624C211yesmaximal, characteristic, complemented
14C127×#1581C211yesmaximal, characteristic, complemented
15C127×#1580C211yesmaximal, characteristic, complemented
16C22×D8×C127—21no—
17#555×C127C2211yescharacteristic, complemented
18#547×C127C2211yescharacteristic, complemented
19D42×C127C2211yescharacteristic
20D42×C127C2211yescharacteristic
21#493×C127C2211yescharacteristic
22#492×C127C2211yescharacteristic, complemented
23#487×C127C2211yescharacteristic, complemented
24#486×C127C2211yescharacteristic, complemented
25#486×C127C2211yescharacteristic, complemented
26#486×C127C2211yescharacteristic, complemented
27#485×C127—21no—
28#482×C127—21no—
29#480×C127—21no—
30#476×C127C2211yescharacteristic
31#476×C127C2211yescharacteristic, complemented
32#474×C127C2211yescharacteristic
33#469×C127—21no—
34#466×C127—21no—
35#466×C127—21no—
36#465×C127—21no—
37#461×C127C2211yescharacteristic, complemented
38#459×C127C2211yescharacteristic
39#459×C127C2211yescharacteristic
40#459×C127C2211yescharacteristic, complemented
41#459×C127C2211yescharacteristic, complemented
42#449×C127—21no—
43#447×C127—21no—
44#447×C127—21no—
45#447×C127—21no—
46#447×C127—21no—
47C4×D8×C127C2211yescharacteristic
48C4×D8×C127C2211yescharacteristic
49#436×C127C2211yescharacteristic, complemented
50C8×D4×C127C2211yescharacteristic
51C8×D4×C127C2211yescharacteristic, complemented
52C8×D4×C127C2211yescharacteristic, complemented
53#418×C127—21no—
54#416×C127—21no—
55C2×#102×C127—21no—
56#335×C127C2211yescharacteristic, complemented
57#334×C127C2211yescharacteristic, complemented
58#333×C127C2211yescharacteristic, complemented
59#332×C127C2211yescharacteristic, complemented
60#331×C127C2211yescharacteristic, complemented
61#331×C127C2211yescharacteristic, complemented
62D4⋊C8×C127C2211yescharacteristic
63D4⋊C8×C127C2211yescharacteristic, complemented
64D4⋊C8×C127C2211yescharacteristic, complemented
65D4⋊C8×C127C2211yescharacteristic, complemented
66#322×C127C2211yescharacteristic, complemented
67C2×#41×C127—21no—
68C22×D4×C127—21no—
69C22×D4×C127—21no—
70C22×D4×C127—21no—
71C22×D4×C127—21no—
72C2×SD16×C127—21no—
73C2×SD16×C127—41no—
74C2×D8×C127—21no—
75C2×D8×C127—21no—
76C2×D8×C127—21no—
77C2×D8×C127—21no—
78C2×D8×C127—21no—
79C2×D8×C127—21no—
80C2×D8×C127—44no—
81C2×D8×C127D411yescharacteristic
82C2×D8×C127D411yescharacteristic
83C2×M16×C127—21no—
84C22×C8×C127—21no—
85C22×C8×C127—21no—
86C22×C8×C127—21no—
87C4⋊Q8×C127C2311yescharacteristic
88C4⋊Q8×C127C2311yescharacteristic
89#127×C127C2311yescharacteristic
90#127×C127C2311yescharacteristic
91#124×C127—41no—
92#123×C127—41no—
93C22⋊Q8×C127—21no—
94#121×C127—21no—
95#121×C127—21no—
96#121×C127—21no—
97#121×C127—21no—
98#121×C127—21no—
99#121×C127—21no—
100#121×C127—21no—
101#120×C127—41no—
102#120×C127—41no—
103C4×D4×C127C2311yescharacteristic
104C4×D4×C127C2311yescharacteristic
105C4×D4×C127C2311yescharacteristic
106C4×D4×C127C2311yescharacteristic
107#117×C127—21no—
108#117×C127—21no—
109C2×C4⋊C4×C127—21no—
110#107×C127—21no—
111#107×C127D411yescharacteristic
112#107×C127D411yescharacteristic
113#106×C127—21no—
114#106×C127—21no—
115C4⋊C8×C127C2311yescharacteristic
116C4⋊C8×C127C2311yescharacteristic
117C4⋊C8×C127C2311yescharacteristic
118C4⋊C8×C127C2311yescharacteristic
119#103×C127—21no—
120#103×C127—21no—
121#103×C127—21no—
122#102×C127—21no—
123#102×C127—21no—
124#102×C127—21no—
125#102×C127—21no—
126#102×C127—21no—
127#102×C127—21no—
128#102×C127—21no—
129#102×C127—21no—
130#102×C127—21no—
131#102×C127—21no—
132#102×C127—21no—
133#102×C127—41no—
134#102×C127D411yescharacteristic
135#102×C127D411yescharacteristic
136#102×C127D411yescharacteristic
137#102×C127D411yescharacteristic
138C22⋊C8×C127—21no—
139C22⋊C8×C127—21no—
140C22⋊C8×C127—21no—
141C22⋊C8×C127—21no—
142C4×C8×C127C2311yescharacteristic
143C4×C8×C127C2311yescharacteristic
144C4×C8×C127C2311yescharacteristic
145C24×C127—41no—
146C24×C127—41no—
147#41×C127—42no—
148#41×C127—81no—
149C2×Q8×C127—21no—
150C2×Q8×C127—21no—
151C2×D4×C127—21no—
152C2×D4×C127—21no—
153C2×D4×C127—21no—
154C2×D4×C127—21no—
155C2×D4×C127—21no—
156C2×D4×C127—21no—
157C2×D4×C127—41no—
158C2×D4×C127—41no—
159C2×D4×C127—41no—
160C2×D4×C127—41no—
161C2×D4×C127—42no—
162C2×D4×C127—42no—
163C2×D4×C127—42no—
164C2×D4×C127—42no—
165C2×D4×C127—41no—
166C2×D4×C127—41no—
167C2×D4×C127—81no—
168C2×D4×C127—81no—
169C2×D4×C127—81no—
170C2×D4×C127—81no—
171C2×D4×C127C2×D411yescharacteristic
172C2×D4×C127C2×D411yescharacteristic
173C2×D4×C127C2×D411yescharacteristic
174C2×D4×C127C2×D411yescharacteristic
175C22×C4×C127—21no—
176C22×C4×C127—21no—
177C22×C4×C127—21no—
178C22×C4×C127—21no—
179C22×C4×C127—41no—
180SD16×C127—81no—
181SD16×C127—82no—
182D8×C127—22no—
183D8×C127—22no—
184D8×C127—42no—
185D8×C127—42no—
186D8×C127—42no—
187D8×C127—81no—
188D8×C127—81no—
189D8×C127—81no—
190M16×C127—81no—
191C2×C8×C127—21no—
192C2×C8×C127—21no—
193C2×C8×C127—21no—
194C2×C8×C127—21no—
195C2×C8×C127—21no—
196C2×C8×C127—42no—
197C2×C8×C127—81no—
198C2×C8×C127—81no—
199C2×C8×C127C2×D411yescharacteristic
200C2×C8×C127C2×D411yescharacteristic
201C2×C8×C127C2×D411yescharacteristic
202C2×C8×C127C2×D411yescharacteristic
203C4⋊C4×C127—21no—
204C4⋊C4×C127—21no—
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127—41no—
208C4⋊C4×C127C2×D411yescharacteristic
209C4⋊C4×C127C2×D411yescharacteristic
210C4⋊C4×C127C2×D411yescharacteristic
211C4⋊C4×C127C2×D411yescharacteristic
212C22⋊C4×C127—21no—
213C22⋊C4×C127—21no—
214C22⋊C4×C127—21no—
215C22⋊C4×C127—21no—
216C22⋊C4×C127—41no—
217C22⋊C4×C127—41no—
218C22⋊C4×C127—41no—
219C22⋊C4×C127—41no—
220C22⋊C4×C127—41no—
221C42×C127—41no—
222C42×C127C2411yescharacteristic
223C23×C127—21no—
224C23×C127—21no—
225C23×C127—21no—
226C23×C127—21no—
227C23×C127—41no—
228C23×C127—41no—
229C23×C127—82no—
230C23×C127—82no—
231C23×C127—82no—
232C23×C127—82no—
233C23×C127—161no—
234C23×C127—161no—
235Q8×C127—41no—
236Q8×C127—41no—
237Q8×C127—81no—
238D4×C127—21no—
239D4×C127—21no—
240D4×C127—21no—
241D4×C127—21no—
242D4×C127—21no—
243D4×C127—21no—
244D4×C127—41no—
245D4×C127—41no—
246D4×C127—41no—
247D4×C127—41no—
248D4×C127—41no—
249D4×C127—41no—
250D4×C127—41no—
251D4×C127—41no—
252D4×C127—81no—
253D4×C127—81no—
254D4×C127—82no—
255D4×C127—82no—
256D4×C127—82no—
257D4×C127—82no—
258D4×C127—82no—
259D4×C127—161no—
260D4×C127#13512yes—
261D4×C127AGL(1,ℤ/8)12yes—
262C2×C4×C127—21no—
263C2×C4×C127—21no—
264C2×C4×C127—21no—
265C2×C4×C127—21no—
266C2×C4×C127—41no—
267C2×C4×C127—41no—
268C2×C4×C127—41no—
269C2×C4×C127—41no—
270C2×C4×C127—41no—
271C2×C4×C127—41no—
272C2×C4×C127—41no—
273C2×C4×C127—41no—
274C2×C4×C127—41no—
275C2×C4×C127—41no—
276C2×C4×C127—82no—
277C2×C4×C127C22×D411yescharacteristic
278C2×C4×C127C22×D411yescharacteristic
279C2×C4×C127H(5,𝔽2)11yescharacteristic
280C8×C127—21no—
281C8×C127—21no—
282C8×C127—21no—
283C8×C127—21no—
284C8×C127—41no—
285C8×C127—41no—
286C8×C127—41no—
287C8×C127—41no—
288C8×C127—41no—
289C22×C127—22no—
290C22×C127—22no—
291C22×C127—41no—
292C22×C127—41no—
293C22×C127—41no—
294C22×C127—41no—
295C22×C127—41no—
296C22×C127—41no—
297C22×C127—41no—
298C22×C127—41no—
299C22×C127—41no—
300C22×C127—41no—
301C22×C127—81no—
302C22×C127—81no—
303C22×C127—81no—
304C22×C127—81no—
305C22×C127—81no—
306C22×C127—81no—
307C22×C127—164no—
308C22×C127—164no—
309C22×C127D4211yescharacteristic
310C4×C127—21no—
311C4×C127—41no—
312C4×C127—41no—
313C4×C127—41no—
314C4×C127—41no—
315C4×C127—81no—
316C4×C127—81no—
317C4×C127C2×#13511yescharacteristic
318C4×C127C2×AGL(1,ℤ/8)11yescharacteristic
319C4×C127#57611yescharacteristic
320C4×C127#57611yescharacteristic
321#19771C12711yesmaximal, characteristic, direct product factor, Sylow
322C2×C127—42no—
323C2×C127—42no—
324C2×C127—81no—
325C2×C127—81no—
326C2×C127—161no—
327C2×C127—161no—
328C2×C127#326411yescharacteristic
329C2×C127#328011yescharacteristic
330C2×C127#328811yescharacteristic
331#3325C2×C12711yescharacteristic, complemented
332#3303C2×C12711yescharacteristic, complemented
333#3294C2×C12711yescharacteristic, complemented
334D4×D8C2×C12711yescharacteristic, complemented
335#1717C2×C12711yescharacteristic, complemented
336#1701C2×C12711yescharacteristic, complemented
337#1683C2×C12711yescharacteristic, complemented
338#1677C2×C12711yescharacteristic, complemented
339#1667C2×C12711yescharacteristic, complemented
340#1639C2×C12711yescharacteristic, complemented
341#1629C2×C12711yescharacteristic, complemented
342#1625C2×C12711yescharacteristic, complemented
343#1624C2×C12711yescharacteristic, complemented
344#1581C2×C12711yescharacteristic, complemented
345#1580C2×C12711yescharacteristic, complemented
346C127#1977111yescharacteristic, direct product factor, Sylow
347C22×D8—21no—
348#555C22×C12711yescharacteristic, complemented
349#547C22×C12711yescharacteristic, complemented
350D42C22×C12711yescharacteristic
351D42C22×C12711yescharacteristic
352#493C22×C12711yescharacteristic
353#492C22×C12711yescharacteristic, complemented
354#487C22×C12711yescharacteristic, complemented
355#486C22×C12711yescharacteristic, complemented
356#486C22×C12711yescharacteristic, complemented
357#486C22×C12711yescharacteristic, complemented
358#485—21no—
359#482—21no—
360#480—21no—
361#476C22×C12711yescharacteristic
362#476C22×C12711yescharacteristic, complemented
363#474C22×C12711yescharacteristic
364#469—21no—
365#466—21no—
366#466—21no—
367#465—21no—
368#461C22×C12711yescharacteristic, complemented
369#459C22×C12711yescharacteristic
370#459C22×C12711yescharacteristic
371#459C22×C12711yescharacteristic, complemented
372#459C22×C12711yescharacteristic, complemented
373#449—21no—
374#447—21no—
375#447—21no—
376#447—21no—
377#447—21no—
378C4×D8C22×C12711yescharacteristic
379C4×D8C22×C12711yescharacteristic
380#436C22×C12711yescharacteristic, complemented
381C8×D4C22×C12711yescharacteristic
382C8×D4C22×C12711yescharacteristic, complemented
383C8×D4C22×C12711yescharacteristic, complemented
384#418—21no—
385#416—21no—
386C2×#102—21no—
387#335C22×C12711yescharacteristic, complemented
388#334C22×C12711yescharacteristic, complemented
389#333C22×C12711yescharacteristic, complemented
390#332C22×C12711yescharacteristic, complemented
391#331C22×C12711yescharacteristic, complemented
392#331C22×C12711yescharacteristic, complemented
393D4⋊C8C22×C12711yescharacteristic
394D4⋊C8C22×C12711yescharacteristic, complemented
395D4⋊C8C22×C12711yescharacteristic, complemented
396D4⋊C8C22×C12711yescharacteristic, complemented
397#322C22×C12711yescharacteristic, complemented
398C2×#41—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C2×SD16—21no—
404C2×SD16—41no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—44no—
412C2×D8D4×C12711yescharacteristic
413C2×D8D4×C12711yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8C23×C12711yescharacteristic
419C4⋊Q8C23×C12711yescharacteristic
420#127C23×C12711yescharacteristic
421#127C23×C12711yescharacteristic
422#124—41no—
423#123—41no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#120—41no—
433#120—41no—
434C4×D4C23×C12711yescharacteristic
435C4×D4C23×C12711yescharacteristic
436C4×D4C23×C12711yescharacteristic
437C4×D4C23×C12711yescharacteristic
438#117—21no—
439#117—21no—
440C2×C4⋊C4—21no—
441#107—21no—
442#107D4×C12711yescharacteristic
443#107D4×C12711yescharacteristic
444#106—21no—
445#106—21no—
446C4⋊C8C23×C12711yescharacteristic
447C4⋊C8C23×C12711yescharacteristic
448C4⋊C8C23×C12711yescharacteristic
449C4⋊C8C23×C12711yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C12711yescharacteristic
466#102D4×C12711yescharacteristic
467#102D4×C12711yescharacteristic
468#102D4×C12711yescharacteristic
469C22⋊C8—21no—
470C22⋊C8—21no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C4×C8C23×C12711yescharacteristic
474C4×C8C23×C12711yescharacteristic
475C4×C8C23×C12711yescharacteristic
476C24—41no—
477C24—41no—
478#41—42no—
479#41—81no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×D4×C12711yescharacteristic
503C2×D4C2×D4×C12711yescharacteristic
504C2×D4C2×D4×C12711yescharacteristic
505C2×D4C2×D4×C12711yescharacteristic
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511SD16—81no—
512SD16—82no—
513D8—22no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520D8—81no—
521M16—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—81no—
530C2×C8C2×D4×C12711yescharacteristic
531C2×C8C2×D4×C12711yescharacteristic
532C2×C8C2×D4×C12711yescharacteristic
533C2×C8C2×D4×C12711yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C12711yescharacteristic
540C4⋊C4C2×D4×C12711yescharacteristic
541C4⋊C4C2×D4×C12711yescharacteristic
542C4⋊C4C2×D4×C12711yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—41no—
553C42C24×C12711yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—82no—
561C23—82no—
562C23—82no—
563C23—82no—
564C23—161no—
565C23—161no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4#135×C12712yes—
592D4AGL(1,ℤ/8)×C12712yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—82no—
608C2×C4C22×D4×C12711yescharacteristic
609C2×C4C22×D4×C12711yescharacteristic
610C2×C4H(5,𝔽2)×C12711yescharacteristic
611C8—21no—
612C8—21no—
613C8—21no—
614C8—21no—
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C8—41no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—164no—
639C22—164no—
640C22D42×C12711yescharacteristic
641C4—21no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4C2×#135×C12711yescharacteristic
649C4C2×AGL(1,ℤ/8)×C12711yescharacteristic
650C4#576×C12711yescharacteristic
651C4#576×C12711yescharacteristic
652C2—42no—
653C2—42no—
654C2—81no—
655C2—81no—
656C2—161no—
657C2—161no—
658C2C127×#326411yescharacteristic
659C2C127×#328011yescharacteristic
660C2C127×#328811yescharacteristic
subgroupG/H
center, socleC22×C127D42
commutator, Frattini, cosocleC42C24×C127
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C127 ◁ C42×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C127×#3325C2semidirect
2. C127×#3303C2semidirect
3. C127×#3294C2semidirect
4. D4×D8×C127C2semidirect
5. C127×#1717C2semidirect
6. C127×#1701C2semidirect
7. C127×#1683C2semidirect
8. C127×#1677C2semidirect
9. C127×#1667C2semidirect
10. C127×#1639C2semidirect
11. C127×#1629C2semidirect
12. C127×#1625C2semidirect
13. C127×#1624C2semidirect
14. C127×#1581C2semidirect
15. C127×#1580C2semidirect
17. #555×C127C22semidirect
18. #547×C127C22semidirect
22. #492×C127C22semidirect
23. #487×C127C22semidirect
24. #486×C127C22semidirect
25. #486×C127C22semidirect
26. #486×C127C22semidirect
31. #476×C127C22semidirect
37. #461×C127C22semidirect
40. #459×C127C22semidirect
41. #459×C127C22semidirect
49. #436×C127C22semidirect
51. C8×D4×C127C22semidirect
52. C8×D4×C127C22semidirect
56. #335×C127C22semidirect
57. #334×C127C22semidirect
58. #333×C127C22semidirect
59. #332×C127C22semidirect
60. #331×C127C22semidirect
61. #331×C127C22semidirect
63. D4⋊C8×C127C22semidirect
64. D4⋊C8×C127C22semidirect
65. D4⋊C8×C127C22semidirect
66. #322×C127C22semidirect
321. #19771C127direct (N × H)
331. #3325C2×C127semidirect
332. #3303C2×C127semidirect
333. #3294C2×C127semidirect
334. D4×D8C2×C127semidirect
335. #1717C2×C127semidirect
336. #1701C2×C127semidirect
337. #1683C2×C127semidirect
338. #1677C2×C127semidirect
339. #1667C2×C127semidirect
340. #1639C2×C127semidirect
341. #1629C2×C127semidirect
342. #1625C2×C127semidirect
343. #1624C2×C127semidirect
344. #1581C2×C127semidirect
345. #1580C2×C127semidirect
346. C127#19771direct (N × H)
348. #555C22×C127semidirect
349. #547C22×C127semidirect
353. #492C22×C127semidirect
354. #487C22×C127semidirect
355. #486C22×C127semidirect
356. #486C22×C127semidirect
357. #486C22×C127semidirect
362. #476C22×C127semidirect
368. #461C22×C127semidirect
371. #459C22×C127semidirect
372. #459C22×C127semidirect
380. #436C22×C127semidirect
382. C8×D4C22×C127semidirect
383. C8×D4C22×C127semidirect
387. #335C22×C127semidirect
388. #334C22×C127semidirect
389. #333C22×C127semidirect
390. #332C22×C127semidirect
391. #331C22×C127semidirect
392. #331C22×C127semidirect
394. D4⋊C8C22×C127semidirect
395. D4⋊C8C22×C127semidirect
396. D4⋊C8C22×C127semidirect
397. #322C22×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#33252
C127×#33032
C127×#32942
D4×D8×C1272
C127×#17172
C127×#17012
C127×#16832
C127×#16772
C127×#16672
C127×#16392
C127×#16292
C127×#16252
C127×#16242
C127×#15812
C127×#15802
#19771127