Finite Group Databasebeta

← C127×#14040 #44577713

Subgroups — C127×#14040 #44577713

Order 32512.

1862 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#385×C127C211yesmaximal, characteristic
2C2×C4×C22⋊C4×C127C211yesmaximal, characteristic
3C22×#95×C127C211yesmaximal, characteristic
4C127×#1445C212yesmaximal, complemented
5C127×#1443C212yesmaximal, complemented
6C127×#1436C212yesmaximal, complemented
7C127×#1434C212yesmaximal, complemented
8C127×C22⋊#95C211yesmaximal, characteristic
9C127×C22⋊#95C211yesmaximal, characteristic
10C127×C22⋊#95C211yesmaximal, characteristic
11C127×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C127C2211yescharacteristic
13C24×C4×C127C2211yescharacteristic
14C24×C4×C127C2211yescharacteristic
15C22×C4⋊C4×C127C2212yes—
16C22×C22⋊C4×C127C2211yescharacteristic
17C22×C22⋊C4×C127C2211yescharacteristic
18C22×C22⋊C4×C127C2211yescharacteristic
19C22×C22⋊C4×C127C2211yescharacteristic
20C22×C42×C127C2211yescharacteristic
21C22×C42×C127C2211yescharacteristic
22#385×C127C418yescomplemented
23C4×C22⋊C4×C127—24no—
24C2×#95×C127—24no—
25C2×#95×C127C2212yes—
26C2×#95×C127C2212yes—
27C2×#95×C127C2212yes—
28C2×#95×C127C2212yes—
29C2×#95×C127C2211yescharacteristic
30C2×#95×C127C2212yes—
31C2×#95×C127C2211yescharacteristic
32C2×#95×C127C2212yes—
33C2×#95×C127C2212yes—
34C2×#95×C127C2212yes—
35C2×#95×C127C2212yes—
36C2×#95×C127C2212yes—
37C2×#95×C127C2212yes—
38C25×C127C2311yescharacteristic
39C23×C4×C127—22no—
40C23×C4×C127—22no—
41C23×C4×C127—22no—
42C23×C4×C127—22no—
43C23×C4×C127—22no—
44C23×C4×C127—24no—
45C23×C4×C127—24no—
46C23×C4×C127—22no—
47C23×C4×C127—22no—
48C23×C4×C127—42no—
49C23×C4×C127—42no—
50C23×C4×C127—42no—
51C23×C4×C127—42no—
52C23×C4×C127C2×C414yes—
53C23×C4×C127D414yes—
54C23×C4×C127C2312yes—
55C23×C4×C127C2311yescharacteristic
56C23×C4×C127C2311yescharacteristic
57C23×C4×C127C2312yes—
58C23×C4×C127C2312yes—
59C23×C4×C127C2311yescharacteristic
60C23×C4×C127C2311yescharacteristic
61C23×C4×C127C2311yescharacteristic
62C23×C4×C127C2312yes—
63C23×C4×C127C2311yescharacteristic
64C2×C4⋊C4×C127—42no—
65C2×C4⋊C4×C127—42no—
66C2×C4⋊C4×C127C2×C418yescomplemented
67C2×C22⋊C4×C127—22no—
68C2×C22⋊C4×C127—22no—
69C2×C22⋊C4×C127—22no—
70C2×C22⋊C4×C127—22no—
71C2×C22⋊C4×C127—22no—
72C2×C22⋊C4×C127—22no—
73C2×C22⋊C4×C127—22no—
74C2×C22⋊C4×C127—22no—
75C2×C22⋊C4×C127—22no—
76C2×C22⋊C4×C127C2×C414yes—
77C2×C22⋊C4×C127C2×C414yes—
78C2×C22⋊C4×C127Q814yes—
79C2×C42×C127—22no—
80C2×C42×C127—22no—
81C2×C42×C127—24no—
82C2×C42×C127—42no—
83#95×C127—24no—
84#95×C127—24no—
85#95×C127—22no—
86#95×C127—22no—
87#95×C127—24no—
88#95×C127—24no—
89#95×C127—24no—
90#95×C127—42no—
91#95×C127—42no—
92#95×C127—42no—
93#95×C127—42no—
94#95×C127—42no—
95#95×C127C2×C418yescomplemented
96C24×C127—22no—
97C24×C127—22no—
98C24×C127—22no—
99C24×C127—22no—
100C24×C127C22×C412yes—
101C24×C127C2×D412yes—
102C24×C127C2×Q812yes—
103C24×C127#4112yes—
104C24×C127#4112yes—
105C24×C127#4112yes—
106C24×C127#4112yes—
107C24×C127C2411yescharacteristic
108C22×C4×C127—21no—
109C22×C4×C127—21no—
110C22×C4×C127—22no—
111C22×C4×C127—28no—
112C22×C4×C127—28no—
113C22×C4×C127—28no—
114C22×C4×C127—22no—
115C22×C4×C127—22no—
116C22×C4×C127—21no—
117C22×C4×C127—21no—
118C22×C4×C127—21no—
119C22×C4×C127—21no—
120C22×C4×C127—22no—
121C22×C4×C127—22no—
122C22×C4×C127—22no—
123C22×C4×C127—22no—
124C22×C4×C127—22no—
125C22×C4×C127—22no—
126C22×C4×C127—22no—
127C22×C4×C127—22no—
128C22×C4×C127—21no—
129C22×C4×C127—21no—
130C22×C4×C127—21no—
131C22×C4×C127—21no—
132C22×C4×C127—22no—
133C22×C4×C127—21no—
134C22×C4×C127—21no—
135C22×C4×C127—22no—
136C22×C4×C127—22no—
137C22×C4×C127—22no—
138C22×C4×C127—22no—
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—22no—
149C22×C4×C127—22no—
150C22×C4×C127—22no—
151C22×C4×C127—22no—
152C22×C4×C127—28no—
153C22×C4×C127—22no—
154C22×C4×C127—22no—
155C22×C4×C127—22no—
156C22×C4×C127—22no—
157C22×C4×C127—22no—
158C22×C4×C127—22no—
159C22×C4×C127—22no—
160C22×C4×C127—48no—
161C22×C4×C127—44no—
162C22×C4×C127—48no—
163C22×C4×C127—48no—
164C22×C4×C127—48no—
165C22×C4×C127—48no—
166C22×C4×C127—44no—
167C22×C4×C127—44no—
168C22×C4×C127—44no—
169C22×C4×C127—48no—
170C22×C4×C127—44no—
171C22×C4×C127C22×C412yes—
172C22×C4×C127C22×C414yes—
173C22×C4×C127C22×C414yes—
174C22×C4×C127C22×C412yes—
175C22×C4×C127C2×D412yes—
176C22×C4×C127C2×D412yes—
177C22×C4×C127C2×Q812yes—
178C22×C4×C127C2×Q812yes—
179C22×C4×C127#4114yes—
180C22×C4×C127#4114yes—
181C4⋊C4×C127—48no—
182C22⋊C4×C127—28no—
183C22⋊C4×C127—28no—
184C22⋊C4×C127—28no—
185C22⋊C4×C127—44no—
186C42×C127—44no—
187C42×C127—44no—
188C23×C127—24no—
189C23×C127—24no—
190C23×C127—22no—
191C23×C127—22no—
192C23×C127—24no—
193C23×C127—22no—
194C23×C127—22no—
195C23×C127—24no—
196C23×C127—24no—
197C23×C127—24no—
198C23×C127—24no—
199C23×C127—24no—
200C23×C127—24no—
201C23×C127—24no—
202C23×C127—24no—
203C23×C127—24no—
204C23×C127#11714yes—
205C23×C127C4×D414yes—
206C23×C127C4×Q814yes—
207C23×C127C22⋊Q814yes—
208C23×C127#12314yes—
209C23×C127#12514yes—
210C23×C127#12614yes—
211C23×C127C23×C411yescharacteristic
212C23×C127C22×D411yescharacteristic
213C23×C127C22×Q811yescharacteristic
214C23×C127C2×#4111yescharacteristic
215C23×C127C2×#4111yescharacteristic
216C23×C127C2×#4111yescharacteristic
217C23×C127C2×#4111yescharacteristic
218C23×C127C2×#4112yes—
219C23×C127C2×#4112yes—
220C23×C127H(5,𝔽2)12yes—
221C23×C127H(5,𝔽2)12yes—
222C2×C4×C127—22no—
223C2×C4×C127—22no—
224C2×C4×C127—24no—
225C2×C4×C127—24no—
226C2×C4×C127—24no—
227C2×C4×C127—22no—
228C2×C4×C127—22no—
229C2×C4×C127—24no—
230C2×C4×C127—24no—
231C2×C4×C127—24no—
232C2×C4×C127—24no—
233C2×C4×C127—24no—
234C2×C4×C127—24no—
235C2×C4×C127—24no—
236C2×C4×C127—22no—
237C2×C4×C127—22no—
238C2×C4×C127—22no—
239C2×C4×C127—22no—
240C2×C4×C127—24no—
241C2×C4×C127—22no—
242C2×C4×C127—24no—
243C2×C4×C127—24no—
244C2×C4×C127—24no—
245C2×C4×C127—24no—
246C2×C4×C127—416no—
247C2×C4×C127—416no—
248C2×C4×C127—416no—
249C2×C4×C127—41no—
250C2×C4×C127—41no—
251C2×C4×C127—42no—
252C2×C4×C127—41no—
253C2×C4×C127—41no—
254C2×C4×C127—42no—
255C2×C4×C127—41no—
256C2×C4×C127—41no—
257C2×C4×C127—42no—
258C2×C4×C127—41no—
259C2×C4×C127—41no—
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×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#12314yes—
283C22×C127—24no—
284C22×C127—24no—
285C22×C127—28no—
286C22×C127—28no—
287C22×C127—24no—
288C22×C127—24no—
289C22×C127—24no—
290C22×C127—28no—
291C22×C127—28no—
292C22×C127—24no—
293C22×C127#38718yes—
294C22×C127C2×#11711yescharacteristic
295C22×C127C2×C4×D411yescharacteristic
296C22×C127C2×C4×Q811yescharacteristic
297C22×C127C4×#4112yes—
298C22×C127#51812yes—
299C22×C127C2×C22⋊Q811yescharacteristic
300C22×C127C2×#12311yescharacteristic
301C22×C127C2×#12311yescharacteristic
302C22×C127#52511yescharacteristic
303C22×C127C2×#12511yescharacteristic
304C22×C127C2×#12611yescharacteristic
305C22×C127#52912yes—
306C22×C127#53411yescharacteristic
307C22×C127#53511yescharacteristic
308C22×C127#53812yes—
309C22×C127#55112yes—
310C22×C127#55112yes—
311C22×C127#55112yes—
312C22×C127#55112yes—
313C22×C127#55312yes—
314C22×C127#55312yes—
315C22×C127#55412yes—
316C22×C127#55412yes—
317C4×C127—24no—
318C4×C127—42no—
319C4×C127—44no—
320C4×C127—42no—
321C4×C127—44no—
322C4×C127—44no—
323C4×C127—42no—
324C4×C127—42no—
325C4×C127—42no—
326C4×C127—82no—
327#14040C12711yesmaximal, characteristic, direct product factor, Sylow
328C2×C127—28no—
329C2×C127C2×#38711yescharacteristic
330C2×C127C4×#12311yescharacteristic
331C2×C127#232111yescharacteristic
332C2×C127#235312yes—
333C2×C127#236812yes—
334C2×C127#248211yescharacteristic
335C2×C127#248311yescharacteristic
336C2×C127#248711yescharacteristic
337C2×C127#250512yes—
338C2×C127#251012yes—
339C2×C127#257911yescharacteristic
340C2×#385C2×C12711yescharacteristic
341C2×C4×C22⋊C4C2×C12711yescharacteristic
342C22×#95C2×C12711yescharacteristic
343#1445C2×C12712yescomplemented
344#1443C2×C12712yescomplemented
345#1436C2×C12712yescomplemented
346#1434C2×C12712yescomplemented
347C22⋊#95C2×C12711yescharacteristic
348C22⋊#95C2×C12711yescharacteristic
349C22⋊#95C2×C12711yescharacteristic
350C22⋊#95C2×C12711yescharacteristic
351C127#1404011yescharacteristic, direct product factor, Sylow
352C24×C4C22×C12711yescharacteristic
353C24×C4C22×C12711yescharacteristic
354C24×C4C22×C12711yescharacteristic
355C22×C4⋊C4C22×C12712yes—
356C22×C22⋊C4C22×C12711yescharacteristic
357C22×C22⋊C4C22×C12711yescharacteristic
358C22×C22⋊C4C22×C12711yescharacteristic
359C22×C22⋊C4C22×C12711yescharacteristic
360C22×C42C22×C12711yescharacteristic
361C22×C42C22×C12711yescharacteristic
362#385C4×C12718yescomplemented
363C4×C22⋊C4—24no—
364C2×#95—24no—
365C2×#95C22×C12712yes—
366C2×#95C22×C12712yes—
367C2×#95C22×C12712yes—
368C2×#95C22×C12712yes—
369C2×#95C22×C12711yescharacteristic
370C2×#95C22×C12712yes—
371C2×#95C22×C12711yescharacteristic
372C2×#95C22×C12712yes—
373C2×#95C22×C12712yes—
374C2×#95C22×C12712yes—
375C2×#95C22×C12712yes—
376C2×#95C22×C12712yes—
377C2×#95C22×C12712yes—
378C25C23×C12711yescharacteristic
379C23×C4—22no—
380C23×C4—22no—
381C23×C4—22no—
382C23×C4—22no—
383C23×C4—22no—
384C23×C4—24no—
385C23×C4—24no—
386C23×C4—22no—
387C23×C4—22no—
388C23×C4—42no—
389C23×C4—42no—
390C23×C4—42no—
391C23×C4—42no—
392C23×C4C2×C4×C12714yes—
393C23×C4D4×C12714yes—
394C23×C4C23×C12712yes—
395C23×C4C23×C12711yescharacteristic
396C23×C4C23×C12712yes—
397C23×C4C23×C12711yescharacteristic
398C23×C4C23×C12712yes—
399C23×C4C23×C12711yescharacteristic
400C23×C4C23×C12711yescharacteristic
401C23×C4C23×C12711yescharacteristic
402C23×C4C23×C12712yes—
403C23×C4C23×C12711yescharacteristic
404C2×C4⋊C4—42no—
405C2×C4⋊C4—42no—
406C2×C4⋊C4C2×C4×C12718yescomplemented
407C2×C22⋊C4—22no—
408C2×C22⋊C4—22no—
409C2×C22⋊C4—22no—
410C2×C22⋊C4—22no—
411C2×C22⋊C4—22no—
412C2×C22⋊C4—22no—
413C2×C22⋊C4—22no—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4C2×C4×C12714yes—
417C2×C22⋊C4C2×C4×C12714yes—
418C2×C22⋊C4Q8×C12714yes—
419C2×C42—22no—
420C2×C42—22no—
421C2×C42—24no—
422C2×C42—42no—
423#95—24no—
424#95—24no—
425#95—22no—
426#95—22no—
427#95—24no—
428#95—24no—
429#95—24no—
430#95—42no—
431#95—42no—
432#95—42no—
433#95—42no—
434#95—42no—
435#95C2×C4×C12718yescomplemented
436C24—22no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24C22×C4×C12712yes—
441C24C2×D4×C12712yes—
442C24C2×Q8×C12712yes—
443C24#41×C12712yes—
444C24#41×C12712yes—
445C24#41×C12712yes—
446C24#41×C12712yes—
447C24C24×C12711yescharacteristic
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—28no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
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—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—28no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4C22×C4×C12712yes—
512C22×C4C22×C4×C12714yes—
513C22×C4C22×C4×C12714yes—
514C22×C4C22×C4×C12712yes—
515C22×C4C2×D4×C12712yes—
516C22×C4C2×D4×C12712yes—
517C22×C4C2×Q8×C12712yes—
518C22×C4C2×Q8×C12712yes—
519C22×C4#41×C12714yes—
520C22×C4#41×C12714yes—
521C4⋊C4—48no—
522C22⋊C4—28no—
523C22⋊C4—28no—
524C22⋊C4—28no—
525C22⋊C4—44no—
526C42—44no—
527C42—44no—
528C23—24no—
529C23—24no—
530C23—22no—
531C23—22no—
532C23—24no—
533C23—22no—
534C23—22no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23#117×C12714yes—
545C23C4×D4×C12714yes—
546C23C4×Q8×C12714yes—
547C23C22⋊Q8×C12714yes—
548C23#123×C12714yes—
549C23#125×C12714yes—
550C23#126×C12714yes—
551C23C23×C4×C12711yescharacteristic
552C23C22×D4×C12711yescharacteristic
553C23C22×Q8×C12711yescharacteristic
554C23C2×#41×C12711yescharacteristic
555C23C2×#41×C12711yescharacteristic
556C23C2×#41×C12711yescharacteristic
557C23C2×#41×C12711yescharacteristic
558C23C2×#41×C12712yes—
559C23C2×#41×C12712yes—
560C23H(5,𝔽2)×C12712yes—
561C23H(5,𝔽2)×C12712yes—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—416no—
587C2×C4—416no—
588C2×C4—416no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4#123×C12714yes—
623C22—24no—
624C22—24no—
625C22—28no—
626C22—28no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—28no—
631C22—28no—
632C22—24no—
633C22#387×C12718yes—
634C22C2×#117×C12711yescharacteristic
635C22C2×C4×D4×C12711yescharacteristic
636C22C2×C4×Q8×C12711yescharacteristic
637C22C4×#41×C12712yes—
638C22#518×C12712yes—
639C22C2×C22⋊Q8×C12711yescharacteristic
640C22C2×#123×C12711yescharacteristic
641C22C2×#123×C12711yescharacteristic
642C22#525×C12711yescharacteristic
643C22C2×#125×C12711yescharacteristic
644C22C2×#126×C12711yescharacteristic
645C22#529×C12712yes—
646C22#534×C12711yescharacteristic
647C22#535×C12711yescharacteristic
648C22#538×C12712yes—
649C22#551×C12712yes—
650C22#551×C12712yes—
651C22#551×C12712yes—
652C22#551×C12712yes—
653C22#553×C12712yes—
654C22#553×C12712yes—
655C22#554×C12712yes—
656C22#554×C12712yes—
657C4—24no—
658C4—44no—
659C4—42no—
660C4—42no—
661C4—44no—
662C4—44no—
663C4—42no—
664C4—42no—
665C4—42no—
666C4—82no—
667C2—28no—
668C2C2×#387×C12711yescharacteristic
669C2C4×#123×C12711yescharacteristic
670C2C127×#232111yescharacteristic
671C2C127×#235312yes—
672C2C127×#236812yes—
673C2C127×#248211yescharacteristic
674C2C127×#248311yescharacteristic
675C2C127×#248711yescharacteristic
676C2C127×#250512yes—
677C2C127×#251012yes—
678C2C127×#257911yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutatorC23C23×C4×C127
Frattini, cosocleC24C24×C127
prime radicalC25×C127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
4. C127×#1445C2semidirect
5. C127×#1443C2semidirect
6. C127×#1436C2semidirect
7. C127×#1434C2semidirect
22. #385×C127C4semidirect
66. C2×C4⋊C4×C127C2×C4semidirect
95. #95×C127C2×C4semidirect
327. #14040C127direct (N × H)
343. #1445C2×C127semidirect
344. #1443C2×C127semidirect
345. #1436C2×C127semidirect
346. #1434C2×C127semidirect
351. C127#14040direct (N × H)
362. #385C4×C127semidirect
406. C2×C4⋊C4C2×C4×C127semidirect
435. #95C2×C4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#385×C1272
C2×C4×C22⋊C4×C1272
C22×#95×C1272
C127×#14452
C127×#14432
C127×#14362
C127×#14342
C127×C22⋊#952
#14040127