Finite Group Databasebeta

← C127×#20980 #44584653

Subgroups — C127×#20980 #44584653

Order 32512.

1830 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C127×#3449C211yesmaximal, characteristic
2C2×C4×#41×C127C211yesmaximal, characteristic, complemented
3C2×#421×C127C211yesmaximal, characteristic, complemented
4C22×#104×C127C211yesmaximal, characteristic, complemented
5C127×#2879C211yesmaximal, characteristic, complemented
6C127×#1897C214yesmaximal, complemented
7C127×#1896C214yesmaximal, complemented
8C127×#1733C211yesmaximal, characteristic, complemented
9C2×#339×C127C211yesmaximal, characteristic, complemented
10C22×#41×C127C2211yescharacteristic
11C22×#41×C127C2211yescharacteristic
12C22×M16×C127C2211yescharacteristic
13C22×M16×C127C2211yescharacteristic
14#537×C127C414yescomplemented
15#536×C127—21no—
16#536×C127C412yescomplemented
17#535×C127—21no—
18#535×C127C412yescomplemented
19#534×C127—22no—
20#532×C127—22no—
21#525×C127—22no—
22#525×C127C2214yes—
23C4×#41×C127—24no—
24C4×#41×C127—24no—
25C2×C4×Q8×C127—21no—
26C2×C4×D4×C127—21no—
27C2×C4×D4×C127—22no—
28C2×#117×C127C2211yescharacteristic
29C2×#117×C127C2211yescharacteristic
30C2×#117×C127C2212yescomplemented
31C22×C42×C127C2211yescharacteristic
32C22×C42×C127C2212yescomplemented
33#421×C127—24no—
34C2×#104×C127—24no—
35C2×#104×C127C2212yes—
36C2×#104×C127C2212yes—
37C2×#104×C127C2214yes—
38#408×C127—22no—
39#408×C127—22no—
40#407×C127C2214yescomplemented
41#339×C127C2212yescomplemented
42#339×C127C2214yescomplemented
43#339×C127C2212yescomplemented
44C2×#41×C127—22no—
45C2×#41×C127—22no—
46C2×#41×C127—21no—
47C2×#41×C127—21no—
48C2×#41×C127—22no—
49C2×#41×C127—22no—
50C2×#41×C127—22no—
51C2×#41×C127—22no—
52C2×#41×C127—22no—
53C2×#41×C127—22no—
54C2×#41×C127C2×C412yes—
55C2×#41×C127C2×C412yes—
56C2×#41×C127C2×C412yescomplemented
57C2×#41×C127D412yes—
58C2×#41×C127D412yes—
59C2×#41×C127C2312yes—
60C22×Q8×C127C2×C411yescharacteristic, complemented
61C22×Q8×C127D411yescharacteristic
62C22×D4×C127—21no—
63C22×D4×C127C2×C411yescharacteristic, complemented
64C22×D4×C127D412yes—
65C22×D4×C127D411yescharacteristic
66C23×C4×C127—21no—
67C23×C4×C127—22no—
68C23×C4×C127—21no—
69C23×C4×C127C2312yes—
70C23×C4×C127C2311yescharacteristic
71C2×M16×C127—21no—
72C2×M16×C127—21no—
73C2×M16×C127—22no—
74C2×M16×C127—22no—
75C2×M16×C127—22no—
76C2×M16×C127—22no—
77C2×M16×C127C2312yes—
78C2×M16×C127C2312yes—
79C22×C8×C127—21no—
80C22×C8×C127—21no—
81C4⋊Q8×C127—22no—
82#127×C127—22no—
83#124×C127—22no—
84#124×C127—22no—
85#123×C127—24no—
86#123×C127—24no—
87C22⋊Q8×C127—24no—
88C22⋊Q8×C127C2×C418yescomplemented
89#121×C127—24no—
90#121×C127—28no—
91#121×C127C2×C418yescomplemented
92#120×C127—24no—
93#120×C127—24no—
94C4×Q8×C127—28no—
95C4×D4×C127—216no—
96C4×D4×C127—28no—
97C4×D4×C127—28no—
98#117×C127—22no—
99#117×C127—21no—
100#117×C127—21no—
101#117×C127—24no—
102#117×C127—24no—
103#117×C127C2×C412yescomplemented
104#117×C127D414yescomplemented
105#117×C127C2312yes—
106C2×C4⋊C4×C127—21no—
107C2×C4⋊C4×C127—22no—
108C2×C4⋊C4×C127C2×C412yescomplemented
109C2×C22⋊C4×C127—21no—
110C2×C22⋊C4×C127—21no—
111C2×C22⋊C4×C127—22no—
112C2×C42×C127—21no—
113C2×C42×C127—22no—
114C2×C42×C127—22no—
115C2×C42×C127—21no—
116C2×C42×C127—24no—
117C2×C42×C127—24no—
118C2×C42×C127D414yescomplemented
119C2×C42×C127C2311yescharacteristic
120C2×C42×C127C2311yescharacteristic
121C2×C42×C127C2312yes—
122#104×C127—24no—
123#104×C127—24no—
124#104×C127—28no—
125C22⋊C8×C127—28no—
126C24×C127—21no—
127C24×C127C2×D412yes—
128C24×C127C2×D411yescharacteristic
129#41×C127—24no—
130#41×C127—24no—
131#41×C127—24no—
132#41×C127—24no—
133#41×C127—24no—
134#41×C127—24no—
135#41×C127—24no—
136#41×C127—24no—
137#41×C127—24no—
138#41×C127—24no—
139#41×C127—22no—
140#41×C127—22no—
141#41×C127—22no—
142#41×C127—22no—
143#41×C127—42no—
144#41×C127—42no—
145#41×C127—42no—
146#41×C127—42no—
147C2×Q8×C127—21no—
148C2×Q8×C127—22no—
149C2×Q8×C127—22no—
150C2×Q8×C127—22no—
151C2×Q8×C127—22no—
152C2×Q8×C127C22⋊C412yes—
153C2×Q8×C127C22⋊C412yes—
154C2×Q8×C127C22×C412yes—
155C2×D4×C127—24no—
156C2×D4×C127—24no—
157C2×D4×C127—22no—
158C2×D4×C127—22no—
159C2×D4×C127—28no—
160C2×D4×C127—21no—
161C2×D4×C127—22no—
162C2×D4×C127—22no—
163C2×D4×C127—22no—
164C2×D4×C127—22no—
165C2×D4×C127—42no—
166C2×D4×C127—42no—
167C2×D4×C127C22⋊C414yes—
168C2×D4×C127C22⋊C414yes—
169C2×D4×C127C22⋊C412yes—
170C2×D4×C127C22⋊C412yes—
171C2×D4×C127C22×C412yes—
172C22×C4×C127—21no—
173C22×C4×C127—22no—
174C22×C4×C127—22no—
175C22×C4×C127—22no—
176C22×C4×C127—22no—
177C22×C4×C127—28no—
178C22×C4×C127—21no—
179C22×C4×C127—24no—
180C22×C4×C127—21no—
181C22×C4×C127—22no—
182C22×C4×C127—22no—
183C22×C4×C127—22no—
184C22×C4×C127—22no—
185C22×C4×C127—44no—
186C22×C4×C127—48no—
187C22×C4×C127—42no—
188C22×C4×C127—42no—
189C22×C4×C127C22×C414yes—
190C22×C4×C127C22×C411yescharacteristic
191C22×C4×C127C22×C411yescharacteristic
192C22×C4×C127C2×D412yes—
193C22×C4×C127C2×D414yes—
194C22×C4×C127C2×D411yescharacteristic
195C22×C4×C127C2×D411yescharacteristic
196C22×C4×C127C2×D411yescharacteristic
197C22×C4×C127C2×D412yes—
198C22×C4×C127C2×D412yes—
199C22×C4×C127#4112yes—
200C22×C4×C127#4112yes—
201C22×C4×C127C2411yescharacteristic
202M16×C127—22no—
203M16×C127—22no—
204M16×C127—22no—
205M16×C127—22no—
206M16×C127—42no—
207M16×C127—42no—
208C2×C8×C127—22no—
209C2×C8×C127—22no—
210C2×C8×C127—42no—
211C2×C8×C127—42no—
212C4⋊C4×C127—28no—
213C4⋊C4×C127—22no—
214C4⋊C4×C127—28no—
215C4⋊C4×C127—24no—
216C4⋊C4×C127C22×C414yes—
217C22⋊C4×C127—28no—
218C22⋊C4×C127—22no—
219C22⋊C4×C127—28no—
220C22⋊C4×C127—24no—
221C22⋊C4×C127—22no—
222C22⋊C4×C127—28no—
223C42×C127—28no—
224C42×C127—22no—
225C42×C127—24no—
226C42×C127—21no—
227C42×C127—21no—
228C42×C127—22no—
229C42×C127—22no—
230C42×C127C2×D412yes—
231C42×C127C2×D414yes—
232C42×C127C2×D412yes—
233C23×C127—22no—
234C23×C127—22no—
235C23×C127—22no—
236C23×C127—42no—
237C23×C127—44no—
238C23×C127—42no—
239C23×C127—82no—
240C23×C127C2×C22⋊C414yes—
241C23×C127C2×C22⋊C411yescharacteristic
242C23×C127C2×C22⋊C411yescharacteristic
243C23×C127#12012yes—
244C23×C127#12312yes—
245C23×C127C22×D411yescharacteristic
246Q8×C127—24no—
247Q8×C127—24no—
248Q8×C127—22no—
249Q8×C127—22no—
250Q8×C127—42no—
251D4×C127—28no—
252D4×C127—28no—
253D4×C127—22no—
254D4×C127—22no—
255D4×C127—24no—
256D4×C127—24no—
257D4×C127—42no—
258D4×C127—42no—
259D4×C127—44no—
260D4×C127—42no—
261D4×C127—88no—
262C2×C4×C127—24no—
263C2×C4×C127—22no—
264C2×C4×C127—22no—
265C2×C4×C127—22no—
266C2×C4×C127—24no—
267C2×C4×C127—24no—
268C2×C4×C127—24no—
269C2×C4×C127—24no—
270C2×C4×C127—24no—
271C2×C4×C127—22no—
272C2×C4×C127—24no—
273C2×C4×C127—22no—
274C2×C4×C127—48no—
275C2×C4×C127—416no—
276C2×C4×C127—42no—
277C2×C4×C127—44no—
278C2×C4×C127—42no—
279C2×C4×C127—42no—
280C2×C4×C127—42no—
281C2×C4×C127—44no—
282C2×C4×C127—82no—
283C2×C4×C127C2×C22⋊C414yes—
284C2×C4×C127C2×C22⋊C411yescharacteristic
285C2×C4×C127C2×C22⋊C411yescharacteristic
286C2×C4×C127C4×D412yes—
287C2×C4×C127C4×D412yes—
288C2×C4×C127C4×D412yes—
289C2×C4×C127C4×D412yes—
290C2×C4×C127#12012yes—
291C2×C4×C127#12112yes—
292C2×C4×C127#12112yes—
293C2×C4×C127#12112yes—
294C2×C4×C127#12112yes—
295C2×C4×C127#12312yes—
296C2×C4×C127C23×C411yescharacteristic
297C2×C4×C127C22×D411yescharacteristic
298C2×C4×C127C22×D411yescharacteristic
299C2×C4×C127C22×D411yescharacteristic
300C2×C4×C127C2×#4111yescharacteristic
301C2×C4×C127C2×#4111yescharacteristic
302C8×C127—42no—
303C8×C127—42no—
304C22×C127—22no—
305C22×C127—22no—
306C22×C127—22no—
307C22×C127—28no—
308C22×C127—24no—
309C22×C127—42no—
310C22×C127—42no—
311C22×C127—44no—
312C22×C127—44no—
313C22×C127—44no—
314C22×C127—42no—
315C22×C127—84no—
316C22×C127#38612yes—
317C22×C127#38612yes—
318C22×C127C22×C22⋊C411yescharacteristic
319C22×C127C2×#12011yescharacteristic
320C22×C127C2×#12311yescharacteristic
321C4×C127—24no—
322C4×C127—24no—
323C4×C127—44no—
324C4×C127—42no—
325C4×C127—44no—
326C4×C127—42no—
327C4×C127#38612yes—
328C4×C127#38612yes—
329C4×C127C2×C4×D411yescharacteristic
330C4×C127C2×C4×D411yescharacteristic
331C4×C127C2×#12111yescharacteristic
332C4×C127C2×#12111yescharacteristic
333#20980C12711yesmaximal, characteristic, direct product factor, Sylow
334C2×C127—21no—
335C2×C127—21no—
336C2×C127—22no—
337C2×C127—22no—
338C2×C127—44no—
339C2×C127—82no—
340C2×C127C2×#38611yescharacteristic
341C2×C127#290112yes—
342#3449C2×C12711yescharacteristic
343C2×C4×#41C2×C12711yescharacteristic, complemented
344C2×#421C2×C12711yescharacteristic, complemented
345C22×#104C2×C12711yescharacteristic, complemented
346#2879C2×C12711yescharacteristic, complemented
347#1897C2×C12714yescomplemented
348#1896C2×C12714yescomplemented
349#1733C2×C12711yescharacteristic, complemented
350C2×#339C2×C12711yescharacteristic, complemented
351C127#2098011yescharacteristic, direct product factor, Sylow
352C22×#41C22×C12711yescharacteristic
353C22×#41C22×C12711yescharacteristic
354C22×M16C22×C12711yescharacteristic
355C22×M16C22×C12711yescharacteristic
356#537C4×C12714yescomplemented
357#536—21no—
358#536C4×C12712yescomplemented
359#535—21no—
360#535C4×C12712yescomplemented
361#534—22no—
362#532—22no—
363#525—22no—
364#525C22×C12714yes—
365C4×#41—24no—
366C4×#41—24no—
367C2×C4×Q8—21no—
368C2×C4×D4—21no—
369C2×C4×D4—22no—
370C2×#117C22×C12711yescharacteristic
371C2×#117C22×C12711yescharacteristic
372C2×#117C22×C12712yescomplemented
373C22×C42C22×C12711yescharacteristic
374C22×C42C22×C12712yescomplemented
375#421—24no—
376C2×#104—24no—
377C2×#104C22×C12712yes—
378C2×#104C22×C12712yes—
379C2×#104C22×C12714yes—
380#408—22no—
381#408—22no—
382#407C22×C12714yescomplemented
383#339C22×C12712yescomplemented
384#339C22×C12714yescomplemented
385#339C22×C12712yescomplemented
386C2×#41—22no—
387C2×#41—22no—
388C2×#41—21no—
389C2×#41—21no—
390C2×#41—22no—
391C2×#41—22no—
392C2×#41—22no—
393C2×#41—22no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41C2×C4×C12712yes—
397C2×#41C2×C4×C12712yes—
398C2×#41C2×C4×C12712yescomplemented
399C2×#41D4×C12712yes—
400C2×#41D4×C12712yes—
401C2×#41C23×C12712yes—
402C22×Q8C2×C4×C12711yescharacteristic, complemented
403C22×Q8D4×C12711yescharacteristic
404C22×D4—21no—
405C22×D4C2×C4×C12711yescharacteristic, complemented
406C22×D4D4×C12712yes—
407C22×D4D4×C12711yescharacteristic
408C23×C4—21no—
409C23×C4—22no—
410C23×C4—21no—
411C23×C4C23×C12712yes—
412C23×C4C23×C12711yescharacteristic
413C2×M16—21no—
414C2×M16—21no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16C23×C12712yes—
420C2×M16C23×C12712yes—
421C22×C8—21no—
422C22×C8—21no—
423C4⋊Q8—22no—
424#127—22no—
425#124—22no—
426#124—22no—
427#123—24no—
428#123—24no—
429C22⋊Q8—24no—
430C22⋊Q8C2×C4×C12718yescomplemented
431#121—24no—
432#121—28no—
433#121C2×C4×C12718yescomplemented
434#120—24no—
435#120—24no—
436C4×Q8—28no—
437C4×D4—216no—
438C4×D4—28no—
439C4×D4—28no—
440#117—22no—
441#117—21no—
442#117—21no—
443#117—24no—
444#117—24no—
445#117C2×C4×C12712yescomplemented
446#117D4×C12714yescomplemented
447#117C23×C12712yes—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4C2×C4×C12712yescomplemented
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—22no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—22no—
457C2×C42—22no—
458C2×C42—24no—
459C2×C42—24no—
460C2×C42D4×C12714yescomplemented
461C2×C42C23×C12712yes—
462C2×C42C23×C12711yescharacteristic
463C2×C42C23×C12711yescharacteristic
464#104—24no—
465#104—24no—
466#104—28no—
467C22⋊C8—28no—
468C24—21no—
469C24C2×D4×C12712yes—
470C24C2×D4×C12711yescharacteristic
471#41—24no—
472#41—24no—
473#41—24no—
474#41—24no—
475#41—24no—
476#41—24no—
477#41—24no—
478#41—24no—
479#41—24no—
480#41—24no—
481#41—22no—
482#41—22no—
483#41—22no—
484#41—22no—
485#41—42no—
486#41—42no—
487#41—42no—
488#41—42no—
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8C22⋊C4×C12712yes—
495C2×Q8C22⋊C4×C12712yes—
496C2×Q8C22×C4×C12712yes—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—28no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4C22⋊C4×C12714yes—
510C2×D4C22⋊C4×C12714yes—
511C2×D4C22⋊C4×C12712yes—
512C2×D4C22⋊C4×C12712yes—
513C2×D4C22×C4×C12712yes—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—28no—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—44no—
528C22×C4—48no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4C22×C4×C12714yes—
532C22×C4C22×C4×C12711yescharacteristic
533C22×C4C22×C4×C12711yescharacteristic
534C22×C4C2×D4×C12712yes—
535C22×C4C2×D4×C12714yes—
536C22×C4C2×D4×C12711yescharacteristic
537C22×C4C2×D4×C12711yescharacteristic
538C22×C4C2×D4×C12711yescharacteristic
539C22×C4C2×D4×C12712yes—
540C22×C4C2×D4×C12712yes—
541C22×C4#41×C12712yes—
542C22×C4#41×C12712yes—
543C22×C4C24×C12711yescharacteristic
544M16—22no—
545M16—22no—
546M16—22no—
547M16—22no—
548M16—42no—
549M16—42no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—42no—
553C2×C8—42no—
554C4⋊C4—28no—
555C4⋊C4—22no—
556C4⋊C4—28no—
557C4⋊C4—24no—
558C4⋊C4C22×C4×C12714yes—
559C22⋊C4—28no—
560C22⋊C4—22no—
561C22⋊C4—28no—
562C22⋊C4—24no—
563C22⋊C4—22no—
564C22⋊C4—28no—
565C42—28no—
566C42—22no—
567C42—24no—
568C42—21no—
569C42—21no—
570C42—22no—
571C42—22no—
572C42C2×D4×C12712yes—
573C42C2×D4×C12714yes—
574C42C2×D4×C12712yes—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—42no—
579C23—44no—
580C23—42no—
581C23—82no—
582C23C2×C22⋊C4×C12714yes—
583C23C2×C22⋊C4×C12711yescharacteristic
584C23C2×C22⋊C4×C12711yescharacteristic
585C23#120×C12712yes—
586C23#123×C12712yes—
587C23C22×D4×C12711yescharacteristic
588Q8—24no—
589Q8—24no—
590Q8—22no—
591Q8—22no—
592Q8—42no—
593D4—28no—
594D4—28no—
595D4—22no—
596D4—22no—
597D4—24no—
598D4—24no—
599D4—42no—
600D4—42no—
601D4—44no—
602D4—42no—
603D4—88no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—48no—
617C2×C4—416no—
618C2×C4—42no—
619C2×C4—44no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—82no—
625C2×C4C2×C22⋊C4×C12714yes—
626C2×C4C2×C22⋊C4×C12711yescharacteristic
627C2×C4C2×C22⋊C4×C12711yescharacteristic
628C2×C4C4×D4×C12712yes—
629C2×C4C4×D4×C12712yes—
630C2×C4C4×D4×C12712yes—
631C2×C4C4×D4×C12712yes—
632C2×C4#120×C12712yes—
633C2×C4#121×C12712yes—
634C2×C4#121×C12712yes—
635C2×C4#121×C12712yes—
636C2×C4#121×C12712yes—
637C2×C4#123×C12712yes—
638C2×C4C23×C4×C12711yescharacteristic
639C2×C4C22×D4×C12711yescharacteristic
640C2×C4C22×D4×C12711yescharacteristic
641C2×C4C22×D4×C12711yescharacteristic
642C2×C4C2×#41×C12711yescharacteristic
643C2×C4C2×#41×C12711yescharacteristic
644C8—42no—
645C8—42no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—28no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—44no—
654C22—44no—
655C22—44no—
656C22—42no—
657C22—84no—
658C22#386×C12712yes—
659C22#386×C12712yes—
660C22C22×C22⋊C4×C12711yescharacteristic
661C22C2×#120×C12711yescharacteristic
662C22C2×#123×C12711yescharacteristic
663C4—24no—
664C4—24no—
665C4—44no—
666C4—42no—
667C4—44no—
668C4—42no—
669C4#386×C12712yes—
670C4#386×C12712yes—
671C4C2×C4×D4×C12711yescharacteristic
672C4C2×C4×D4×C12711yescharacteristic
673C4C2×#121×C12711yescharacteristic
674C4C2×#121×C12711yescharacteristic
675C2—21no—
676C2—21no—
677C2—22no—
678C2—22no—
679C2—44no—
680C2—82no—
681C2C2×#386×C12711yescharacteristic
682C2C127×#290112yes—
subgroupG/H
centerC2×C4×C127C22×D4
commutatorC2×C4C23×C4×C127
Frattini, cosocleC22×C4C24×C127
socleC22×C127C22×C22⋊C4
prime radicalC127×#3449C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C127 ◁ C22×#41×C127 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×#41×C127C2semidirect
3. C2×#421×C127C2semidirect
4. C22×#104×C127C2semidirect
5. C127×#2879C2semidirect
6. C127×#1897C2semidirect
7. C127×#1896C2semidirect
8. C127×#1733C2semidirect
9. C2×#339×C127C2semidirect
14. #537×C127C4semidirect
16. #536×C127C4semidirect
18. #535×C127C4semidirect
30. C2×#117×C127C22semidirect
32. C22×C42×C127C22semidirect
40. #407×C127C22semidirect
41. #339×C127C22semidirect
42. #339×C127C22semidirect
43. #339×C127C22semidirect
56. C2×#41×C127C2×C4semidirect
60. C22×Q8×C127C2×C4semidirect
63. C22×D4×C127C2×C4semidirect
88. C22⋊Q8×C127C2×C4semidirect
91. #121×C127C2×C4semidirect
103. #117×C127C2×C4semidirect
104. #117×C127D4semidirect
108. C2×C4⋊C4×C127C2×C4semidirect
118. C2×C42×C127D4semidirect
333. #20980C127direct (N × H)
343. C2×C4×#41C2×C127semidirect
344. C2×#421C2×C127semidirect
345. C22×#104C2×C127semidirect
346. #2879C2×C127semidirect
347. #1897C2×C127semidirect
348. #1896C2×C127semidirect
349. #1733C2×C127semidirect
350. C2×#339C2×C127semidirect
351. C127#20980direct (N × H)
356. #537C4×C127semidirect
358. #536C4×C127semidirect
360. #535C4×C127semidirect
372. C2×#117C22×C127semidirect
374. C22×C42C22×C127semidirect
382. #407C22×C127semidirect
383. #339C22×C127semidirect
384. #339C22×C127semidirect
385. #339C22×C127semidirect
398. C2×#41C2×C4×C127semidirect
402. C22×Q8C2×C4×C127semidirect
405. C22×D4C2×C4×C127semidirect
430. C22⋊Q8C2×C4×C127semidirect
433. #121C2×C4×C127semidirect
445. #117C2×C4×C127semidirect
446. #117D4×C127semidirect
450. C2×C4⋊C4C2×C4×C127semidirect
460. C2×C42D4×C127semidirect

Maximal subgroups

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

subgroupindex
C127×#34492
C2×C4×#41×C1272
C2×#421×C1272
C22×#104×C1272
C127×#28792
C127×#18972
C127×#18962
C127×#17332
C2×#339×C1272
#20980127