Finite Group Databasebeta

← C127×#18256 #44581929

Subgroups — C127×#18256 #44581929

Order 32512.

1440 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3536C211yesmaximal, characteristic, complemented
2C127×#3003C211yesmaximal, characteristic, complemented
3C2×#450×C127C211yesmaximal, characteristic, complemented
4C127×#2433C211yesmaximal, characteristic, complemented
5C127×#1600C214yesmaximal, complemented
6C127×#1596C214yesmaximal, complemented
7C127×#1508C211yesmaximal, characteristic, complemented
8C127×#1501C211yesmaximal, characteristic, complemented
9C127×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C127C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C127—21no—
12C22×SD16×C127—21no—
13#562×C127—22no—
14#554×C127—21no—
15#548×C127—21no—
16#547×C127—21no—
17#546×C127—22no—
18#546×C127—21no—
19#543×C127C2212yescomplemented
20#542×C127—21no—
21#539×C127—21no—
22#538×C127C2212yescomplemented
23#537×C127—21no—
24#537×C127—21no—
25C2×#127×C127—21no—
26#525×C127C2211yescharacteristic
27C2×C22⋊Q8×C127C2211yescharacteristic
28C2×#121×C127C2211yescharacteristic
29C2×#120×C127—22no—
30#450×C127—22no—
31#450×C127—21no—
32#450×C127C2212yes—
33#450×C127C2214yes—
34#447×C127—21no—
35#447×C127C2212yes—
36#418×C127—21no—
37C2×#102×C127—21no—
38#407×C127C2211yescharacteristic
39C2×C22⋊C8×C127C2211yescharacteristic
40#392×C127C2214yes—
41#390×C127—21no—
42C4×C22⋊C4×C127C2211yescharacteristic
43#328×C127C2212yescomplemented
44#328×C127C2214yescomplemented
45#327×C127C2212yescomplemented
46#323×C127C2214yescomplemented
47C25×C127—21no—
48C2×#41×C127—22no—
49C2×#41×C127—21no—
50C2×#41×C127D411yescharacteristic, complemented
51C22×Q8×C127D411yescharacteristic, complemented
52C22×D4×C127—24no—
53C22×D4×C127—21no—
54C22×D4×C127—21no—
55C22×D4×C127—21no—
56C22×D4×C127—21no—
57C22×D4×C127—21no—
58C22×D4×C127—44no—
59C22×D4×C127D412yes—
60C22×D4×C127D411yescharacteristic
61C22×D4×C127C2312yes—
62C23×C4×C127C2311yescharacteristic
63AGL(1,ℤ/8)×C127—44no—
64C2×SD16×C127—24no—
65C2×SD16×C127—22no—
66C2×SD16×C127—44no—
67C2×D8×C127—22no—
68C2×M16×C127—21no—
69C22×C8×C127—21no—
70C4⋊Q8×C127—21no—
71#127×C127—44no—
72#126×C127—22no—
73#125×C127—22no—
74#124×C127—21no—
75#124×C127—22no—
76#124×C127—22no—
77#123×C127—22no—
78#123×C127—22no—
79#123×C127—22no—
80#123×C127—21no—
81#123×C127—22no—
82C22⋊Q8×C127—21no—
83C22⋊Q8×C127—22no—
84C22⋊Q8×C127—22no—
85C22⋊Q8×C127—22no—
86C22⋊Q8×C127—21no—
87C22⋊Q8×C127—21no—
88C22⋊Q8×C127—22no—
89C22⋊Q8×C127—22no—
90C22⋊Q8×C127—22no—
91C22⋊Q8×C127D412yescomplemented
92C22⋊Q8×C127D411yescharacteristic, complemented
93C22⋊Q8×C127C2312yes—
94C22⋊Q8×C127C2311yescharacteristic
95#121×C127—21no—
96#121×C127—22no—
97#121×C127—22no—
98#121×C127—22no—
99#121×C127—22no—
100#121×C127—22no—
101#121×C127—21no—
102#121×C127—21no—
103#121×C127—21no—
104#121×C127—21no—
105#121×C127D411yescharacteristic, complemented
106#121×C127C2311yescharacteristic
107#120×C127—21no—
108#120×C127—22no—
109#120×C127—48no—
110C4×Q8×C127—21no—
111C4×D4×C127—22no—
112C4×D4×C127—21no—
113C4×D4×C127—21no—
114C4×D4×C127—21no—
115C4×D4×C127—22no—
116#117×C127D411yescharacteristic, complemented
117C2×C4⋊C4×C127—21no—
118C2×C4⋊C4×C127—21no—
119C2×C4⋊C4×C127D411yescharacteristic
120C2×C4⋊C4×C127D411yescharacteristic, complemented
121C2×C22⋊C4×C127—21no—
122C2×C22⋊C4×C127—21no—
123C2×C22⋊C4×C127—22no—
124C2×C22⋊C4×C127—24no—
125C2×C22⋊C4×C127C2312yes—
126C2×C42×C127—21no—
127#102×C127—24no—
128#102×C127—22no—
129#102×C127—22no—
130C22⋊C8×C127—21no—
131C22⋊C8×C127—21no—
132C22⋊C8×C127C2312yes—
133C22⋊C8×C127C2312yes—
134#95×C127C2312yes—
135C24×C127—22no—
136C24×C127—44no—
137C24×C127—44no—
138C24×C127—41no—
139C24×C127—41no—
140C24×C127—82no—
141C24×C127C2×D411yescharacteristic
142C24×C127C2×D412yes—
143#41×C127—42no—
144#41×C127—84no—
145#41×C127—82no—
146C2×Q8×C127—22no—
147C2×Q8×C127—21no—
148C2×Q8×C127—42no—
149C2×Q8×C127C2×D411yescharacteristic
150C2×Q8×C127C2×D412yes—
151C2×D4×C127—24no—
152C2×D4×C127—24no—
153C2×D4×C127—24no—
154C2×D4×C127—21no—
155C2×D4×C127—22no—
156C2×D4×C127—21no—
157C2×D4×C127—22no—
158C2×D4×C127—22no—
159C2×D4×C127—21no—
160C2×D4×C127—22no—
161C2×D4×C127—21no—
162C2×D4×C127—21no—
163C2×D4×C127—22no—
164C2×D4×C127—22no—
165C2×D4×C127—42no—
166C2×D4×C127—42no—
167C2×D4×C127—42no—
168C2×D4×C127—42no—
169C2×D4×C127—48no—
170C2×D4×C127—44no—
171C2×D4×C127—44no—
172C2×D4×C127—44no—
173C2×D4×C127—44no—
174C2×D4×C127—48no—
175C2×D4×C127—41no—
176C2×D4×C127—41no—
177C2×D4×C127—84no—
178C2×D4×C127C2×D411yescharacteristic
179C22×C4×C127—21no—
180C22×C4×C127—22no—
181C22×C4×C127—22no—
182C22×C4×C127—22no—
183C22×C4×C127—22no—
184C22×C4×C127—21no—
185C22×C4×C127—21no—
186C22×C4×C127—42no—
187C22×C4×C127C2×D411yescharacteristic
188C22×C4×C127C2×D411yescharacteristic
189C22×C4×C127C2×D411yescharacteristic
190C22×C4×C127C2×D412yes—
191C22×C4×C127C2×D411yescharacteristic
192C22×C4×C127C2×D411yescharacteristic
193C22×C4×C127C2411yescharacteristic
194SD16×C127—48no—
195SD16×C127—44no—
196D8×C127—44no—
197M16×C127—42no—
198C2×C8×C127—22no—
199C2×C8×C127—22no—
200C2×C8×C127—42no—
201C4⋊C4×C127—22no—
202C4⋊C4×C127—22no—
203C4⋊C4×C127—22no—
204C4⋊C4×C127—22no—
205C4⋊C4×C127—21no—
206C4⋊C4×C127—21no—
207C4⋊C4×C127—22no—
208C4⋊C4×C127—21no—
209C4⋊C4×C127—21no—
210C4⋊C4×C127—22no—
211C4⋊C4×C127—21no—
212C4⋊C4×C127C2×D412yes—
213C4⋊C4×C127C2×D411yescharacteristic
214C4⋊C4×C127C2×D411yescharacteristic
215C22⋊C4×C127—24no—
216C22⋊C4×C127—22no—
217C22⋊C4×C127—22no—
218C22⋊C4×C127—22no—
219C22⋊C4×C127—22no—
220C22⋊C4×C127—22no—
221C22⋊C4×C127—22no—
222C22⋊C4×C127—21no—
223C22⋊C4×C127—21no—
224C22⋊C4×C127—22no—
225C22⋊C4×C127—21no—
226C22⋊C4×C127—21no—
227C22⋊C4×C127—22no—
228C22⋊C4×C127—22no—
229C22⋊C4×C127—21no—
230C22⋊C4×C127—48no—
231C42×C127—22no—
232C42×C127—21no—
233C42×C127—42no—
234C23×C127—22no—
235C23×C127—22no—
236C23×C127—24no—
237C23×C127—22no—
238C23×C127—21no—
239C23×C127—24no—
240C23×C127—41no—
241C23×C127—44no—
242C23×C127—44no—
243C23×C127—44no—
244C23×C127—42no—
245C23×C127—42no—
246C23×C127—42no—
247C23×C127—42no—
248C23×C127—44no—
249C23×C127—82no—
250C23×C127—82no—
251C23×C127—82no—
252C23×C127—816no—
253C23×C127—82no—
254C23×C127#12011yescharacteristic
255C23×C127#12011yescharacteristic
256C23×C127C22×D411yescharacteristic
257Q8×C127—42no—
258Q8×C127—41no—
259Q8×C127—42no—
260Q8×C127—82no—
261D4×C127—24no—
262D4×C127—24no—
263D4×C127—41no—
264D4×C127—42no—
265D4×C127—42no—
266D4×C127—44no—
267D4×C127—42no—
268D4×C127—44no—
269D4×C127—42no—
270D4×C127—44no—
271D4×C127—42no—
272D4×C127—81no—
273D4×C127—82no—
274D4×C127—81no—
275D4×C127—82no—
276D4×C127—82no—
277D4×C127—816no—
278C2×C4×C127—22no—
279C2×C4×C127—22no—
280C2×C4×C127—22no—
281C2×C4×C127—24no—
282C2×C4×C127—21no—
283C2×C4×C127—22no—
284C2×C4×C127—21no—
285C2×C4×C127—22no—
286C2×C4×C127—21no—
287C2×C4×C127—22no—
288C2×C4×C127—41no—
289C2×C4×C127—41no—
290C2×C4×C127—41no—
291C2×C4×C127—42no—
292C2×C4×C127—42no—
293C2×C4×C127—42no—
294C2×C4×C127—42no—
295C2×C4×C127—42no—
296C2×C4×C127—81no—
297C2×C4×C127—82no—
298C2×C4×C127—82no—
299C2×C4×C127—82no—
300C2×C4×C127#12011yescharacteristic
301C2×C4×C127#12011yescharacteristic
302C2×C4×C127C22×D411yescharacteristic
303C2×C4×C127C22×D411yescharacteristic
304C8×C127—42no—
305C8×C127—42no—
306C22×C127—21no—
307C22×C127—21no—
308C22×C127—21no—
309C22×C127—21no—
310C22×C127—21no—
311C22×C127—21no—
312C22×C127—21no—
313C22×C127—44no—
314C22×C127—48no—
315C22×C127—41no—
316C22×C127—42no—
317C22×C127—41no—
318C22×C127—42no—
319C22×C127—41no—
320C22×C127—42no—
321C22×C127—44no—
322C22×C127—84no—
323C22×C127—84no—
324C22×C127—88no—
325C22×C127—88no—
326C22×C127—82no—
327C22×C127—82no—
328C22×C127#45312yes—
329C22×C127C2×#12011yescharacteristic
330C22×C127#57712yes—
331C4×C127—21no—
332C4×C127—21no—
333C4×C127—21no—
334C4×C127—44no—
335C4×C127—41no—
336C4×C127—42no—
337C4×C127—42no—
338C4×C127—41no—
339C4×C127—41no—
340C4×C127—42no—
341C4×C127B(4,𝔽2)12yes—
342#18256C12711yesmaximal, characteristic, direct product factor, Sylow
343C2×C127—22no—
344C2×C127—22no—
345C2×C127—41no—
346C2×C127—81no—
347C2×C127—82no—
348C2×C127—84no—
349C2×C127#301011yescharacteristic
350C2×C127C2×#45311yescharacteristic
351C2×C127C2×B(4,𝔽2)11yescharacteristic
352#3536C2×C12711yescharacteristic, complemented
353#3003C2×C12711yescharacteristic, complemented
354C2×#450C2×C12711yescharacteristic, complemented
355#2433C2×C12711yescharacteristic, complemented
356#1600C2×C12714yescomplemented
357#1596C2×C12714yescomplemented
358#1508C2×C12711yescharacteristic, complemented
359#1501C2×C12711yescharacteristic, complemented
360#1471C2×C12711yescharacteristic, complemented
361C127#1825611yescharacteristic, direct product factor, Sylow
362C23×D4C22×C12711yescharacteristic
363C2×AGL(1,ℤ/8)—21no—
364C22×SD16—21no—
365#562—22no—
366#554—21no—
367#548—21no—
368#547—21no—
369#546—22no—
370#546—21no—
371#543C22×C12712yescomplemented
372#542—21no—
373#539—21no—
374#538C22×C12712yescomplemented
375#537—21no—
376#537—21no—
377C2×#127—21no—
378#525C22×C12711yescharacteristic
379C2×C22⋊Q8C22×C12711yescharacteristic
380C2×#121C22×C12711yescharacteristic
381C2×#120—22no—
382#450—22no—
383#450—21no—
384#450C22×C12712yes—
385#450C22×C12714yes—
386#447—21no—
387#447C22×C12712yes—
388#418—21no—
389C2×#102—21no—
390#407C22×C12711yescharacteristic
391C2×C22⋊C8C22×C12711yescharacteristic
392#392C22×C12714yes—
393#390—21no—
394C4×C22⋊C4C22×C12711yescharacteristic
395#328C22×C12712yescomplemented
396#328C22×C12714yescomplemented
397#327C22×C12712yescomplemented
398#323C22×C12714yescomplemented
399C25—21no—
400C2×#41—22no—
401C2×#41—21no—
402C2×#41D4×C12711yescharacteristic, complemented
403C22×Q8D4×C12711yescharacteristic, complemented
404C22×D4—24no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—44no—
411C22×D4D4×C12712yes—
412C22×D4D4×C12711yescharacteristic
413C22×D4C23×C12712yes—
414C23×C4C23×C12711yescharacteristic
415AGL(1,ℤ/8)—44no—
416C2×SD16—24no—
417C2×SD16—22no—
418C2×SD16—44no—
419C2×D8—22no—
420C2×M16—21no—
421C22×C8—21no—
422C4⋊Q8—21no—
423#127—44no—
424#126—22no—
425#125—22no—
426#124—21no—
427#124—22no—
428#124—22no—
429#123—22no—
430#123—22no—
431#123—22no—
432#123—21no—
433#123—22no—
434C22⋊Q8—21no—
435C22⋊Q8—22no—
436C22⋊Q8—22no—
437C22⋊Q8—22no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—22no—
441C22⋊Q8—22no—
442C22⋊Q8—22no—
443C22⋊Q8D4×C12712yescomplemented
444C22⋊Q8D4×C12711yescharacteristic, complemented
445C22⋊Q8C23×C12712yes—
446C22⋊Q8C23×C12711yescharacteristic
447#121—21no—
448#121—22no—
449#121—22no—
450#121—22no—
451#121—22no—
452#121—22no—
453#121—21no—
454#121—21no—
455#121—21no—
456#121—21no—
457#121D4×C12711yescharacteristic, complemented
458#121C23×C12711yescharacteristic
459#120—21no—
460#120—22no—
461#120—48no—
462C4×Q8—21no—
463C4×D4—22no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—22no—
468#117D4×C12711yescharacteristic, complemented
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4D4×C12711yescharacteristic
472C2×C4⋊C4D4×C12711yescharacteristic, complemented
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—22no—
476C2×C22⋊C4—24no—
477C2×C22⋊C4C23×C12712yes—
478C2×C42—21no—
479#102—24no—
480#102—22no—
481#102—22no—
482C22⋊C8—21no—
483C22⋊C8—21no—
484C22⋊C8C23×C12712yes—
485C22⋊C8C23×C12712yes—
486#95C23×C12712yes—
487C24—22no—
488C24—44no—
489C24—44no—
490C24—41no—
491C24—41no—
492C24—82no—
493C24C2×D4×C12711yescharacteristic
494C24C2×D4×C12712yes—
495#41—42no—
496#41—84no—
497#41—82no—
498C2×Q8—22no—
499C2×Q8—21no—
500C2×Q8—42no—
501C2×Q8C2×D4×C12711yescharacteristic
502C2×Q8C2×D4×C12712yes—
503C2×D4—24no—
504C2×D4—24no—
505C2×D4—24no—
506C2×D4—21no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—48no—
522C2×D4—44no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—48no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—84no—
530C2×D4C2×D4×C12711yescharacteristic
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—42no—
539C22×C4C2×D4×C12711yescharacteristic
540C22×C4C2×D4×C12711yescharacteristic
541C22×C4C2×D4×C12711yescharacteristic
542C22×C4C2×D4×C12712yes—
543C22×C4C2×D4×C12711yescharacteristic
544C22×C4C2×D4×C12711yescharacteristic
545C22×C4C24×C12711yescharacteristic
546SD16—48no—
547SD16—44no—
548D8—44no—
549M16—42no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—42no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4C2×D4×C12712yes—
565C4⋊C4C2×D4×C12711yescharacteristic
566C4⋊C4C2×D4×C12711yescharacteristic
567C22⋊C4—24no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—21no—
575C22⋊C4—21no—
576C22⋊C4—22no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—48no—
583C42—22no—
584C42—21no—
585C42—42no—
586C23—22no—
587C23—22no—
588C23—24no—
589C23—22no—
590C23—21no—
591C23—24no—
592C23—41no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—44no—
601C23—82no—
602C23—82no—
603C23—82no—
604C23—816no—
605C23—82no—
606C23#120×C12711yescharacteristic
607C23#120×C12711yescharacteristic
608C23C22×D4×C12711yescharacteristic
609Q8—42no—
610Q8—41no—
611Q8—42no—
612Q8—82no—
613D4—24no—
614D4—24no—
615D4—41no—
616D4—42no—
617D4—42no—
618D4—44no—
619D4—42no—
620D4—44no—
621D4—42no—
622D4—44no—
623D4—42no—
624D4—81no—
625D4—82no—
626D4—81no—
627D4—82no—
628D4—82no—
629D4—816no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—81no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4—82no—
652C2×C4#120×C12711yescharacteristic
653C2×C4#120×C12711yescharacteristic
654C2×C4C22×D4×C12711yescharacteristic
655C2×C4C22×D4×C12711yescharacteristic
656C8—42no—
657C8—42no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—44no—
666C22—48no—
667C22—41no—
668C22—42no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—42no—
673C22—44no—
674C22—84no—
675C22—84no—
676C22—88no—
677C22—88no—
678C22—82no—
679C22—82no—
680C22#453×C12712yes—
681C22C2×#120×C12711yescharacteristic
682C22#577×C12712yes—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—44no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—42no—
693C4B(4,𝔽2)×C12712yes—
694C2—22no—
695C2—22no—
696C2—41no—
697C2—84no—
698C2—82no—
699C2—81no—
700C2C127×#301011yescharacteristic
701C2C2×#453×C12711yescharacteristic
702C2C2×B(4,𝔽2)×C12711yescharacteristic
subgroupG/H
center, socleC22×C127C2×#120
commutator, Frattini, cosocleC22×C4C24×C127
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C127 ◁ C23×C4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C127×#3536C2semidirect
2. C127×#3003C2semidirect
3. C2×#450×C127C2semidirect
4. C127×#2433C2semidirect
5. C127×#1600C2semidirect
6. C127×#1596C2semidirect
7. C127×#1508C2semidirect
8. C127×#1501C2semidirect
9. C127×#1471C2semidirect
19. #543×C127C22semidirect
22. #538×C127C22semidirect
43. #328×C127C22semidirect
44. #328×C127C22semidirect
45. #327×C127C22semidirect
46. #323×C127C22semidirect
50. C2×#41×C127D4semidirect
51. C22×Q8×C127D4semidirect
91. C22⋊Q8×C127D4semidirect
92. C22⋊Q8×C127D4semidirect
105. #121×C127D4semidirect
116. #117×C127D4semidirect
120. C2×C4⋊C4×C127D4semidirect
342. #18256C127direct (N × H)
352. #3536C2×C127semidirect
353. #3003C2×C127semidirect
354. C2×#450C2×C127semidirect
355. #2433C2×C127semidirect
356. #1600C2×C127semidirect
357. #1596C2×C127semidirect
358. #1508C2×C127semidirect
359. #1501C2×C127semidirect
360. #1471C2×C127semidirect
361. C127#18256direct (N × H)
371. #543C22×C127semidirect
374. #538C22×C127semidirect
395. #328C22×C127semidirect
396. #328C22×C127semidirect
397. #327C22×C127semidirect
398. #323C22×C127semidirect
402. C2×#41D4×C127semidirect
403. C22×Q8D4×C127semidirect
443. C22⋊Q8D4×C127semidirect
444. C22⋊Q8D4×C127semidirect
457. #121D4×C127semidirect
468. #117D4×C127semidirect
472. C2×C4⋊C4D4×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#35362
C127×#30032
C2×#450×C1272
C127×#24332
C127×#16002
C127×#15962
C127×#15082
C127×#15012
C127×#14712
#18256127