Finite Group Databasebeta

← C127×#13346 #44577019

Subgroups — C127×#13346 #44577019

Order 32512.

1022 conjugacy classes of subgroups; only the 98 normal subgroups are shown.

normal subgroups only

This group has 1022 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×B(4,𝔽2)×C127C211yesmaximal, characteristic, complemented
2C2×#453×C127C211yesmaximal, characteristic, complemented
3C127×#2669C211yesmaximal, characteristic, complemented
4C2×#353×C127C211yesmaximal, characteristic, complemented
5C2×AΣL(1,𝔽16)×C127C211yesmaximal, characteristic, complemented
6C127×#1790C211yesmaximal, characteristic, complemented
7C127×#1390C211yesmaximal, characteristic, complemented
8C2×H(5,𝔽2)×C127C2211yescharacteristic
9C2×AGL(1,ℤ/8)×C127—21no—
10C2×#127×C127C2211yescharacteristic
11C2×#121×C127—21no—
12C2×#120×C127—21no—
13C2×#120×C127—21no—
14C2×#120×C127C2211yescharacteristic
15B(4,𝔽2)×C127—22no—
16B(4,𝔽2)×C127—22no—
17#453×C127—22no—
18#453×C127—22no—
19C2×#104×C127—21no—
20C2×#100×C127C2211yescharacteristic
21C2×#99×C127—21no—
22C2×#99×C127—21no—
23C2×#99×C127C2211yescharacteristic
24C2×#99×C127C2211yescharacteristic
25#394×C127—21no—
26#392×C127—21no—
27#392×C127—21no—
28#388×C127—21no—
29#386×C127—21no—
30#386×C127C2211yescharacteristic
31#353×C127—22no—
32AΣL(1,𝔽16)×C127—22no—
33C25×C127D411yescharacteristic
34H(5,𝔽2)×C127—21no—
35H(5,𝔽2)×C127—21no—
36H(5,𝔽2)×C127—21no—
37H(5,𝔽2)×C127—42no—
38H(5,𝔽2)×C127D412yescomplemented
39C2×#41×C127—21no—
40C2×#41×C127—41no—
41C22×D4×C127—21no—
42C22×D4×C127—21no—
43C22×D4×C127—21no—
44C22×D4×C127—21no—
45C22×D4×C127—21no—
46C22×D4×C127—21no—
47C22×D4×C127—21no—
48C22×D4×C127—41no—
49C22×D4×C127—41no—
50C22×D4×C127D411yescharacteristic, complemented
51C22×D4×C127C2311yescharacteristic
52C23×C4×C127D411yescharacteristic, complemented
53AGL(1,ℤ/8)×C127—24no—
54AGL(1,ℤ/8)×C127—42no—
55C2×SD16×C127—41no—
56C2×D8×C127—41no—
57C2×M16×C127—21no—
58#127×C127—21no—
59#127×C127—21no—
60#127×C127—21no—
61#127×C127—21no—
62#121×C127—44no—
63#120×C127—24no—
64#120×C127—21no—
65#120×C127—21no—
66#120×C127—21no—
67#120×C127—21no—
68#120×C127—44no—
69#120×C127—42no—
70C2×C4⋊C4×C127—21no—
71C2×C22⋊C4×C127—21no—
72C2×C22⋊C4×C127—21no—
73C2×C22⋊C4×C127—21no—
74C2×C22⋊C4×C127—21no—
75C2×C22⋊C4×C127—21no—
76C2×C22⋊C4×C127—21no—
77C2×C22⋊C4×C127—21no—
78C2×C22⋊C4×C127—21no—
79C2×C22⋊C4×C127—41no—
80C2×C22⋊C4×C127—41no—
81C2×C22⋊C4×C127D411yescharacteristic
82C2×C22⋊C4×C127D411yescharacteristic, complemented
83C2×C42×C127D411yescharacteristic, complemented
84#104×C127—24no—
85#100×C127—21no—
86#100×C127D412yescomplemented
87#99×C127—24no—
88#99×C127—21no—
89#99×C127—21no—
90#99×C127—21no—
91#99×C127—42no—
92#99×C127D412yescomplemented
93#95×C127—21no—
94#95×C127—21no—
95#95×C127—41no—
96C24×C127—21no—
97C24×C127—21no—
98C24×C127—21no—
99C24×C127—21no—
100C24×C127—21no—
101C24×C127—21no—
102C24×C127—41no—
103C24×C127—41no—
104C24×C127—42no—
105C24×C127—81no—
106C24×C127C2×D411yescharacteristic
107C24×C127C2×D411yescharacteristic
108#41×C127—22no—
109#41×C127—22no—
110#41×C127—42no—
111#41×C127—41no—
112#41×C127—42no—
113#41×C127—42no—
114#41×C127—42no—
115#41×C127—41no—
116C2×Q8×C127—21no—
117C2×D4×C127—21no—
118C2×D4×C127—22no—
119C2×D4×C127—22no—
120C2×D4×C127—22no—
121C2×D4×C127—22no—
122C2×D4×C127—21no—
123C2×D4×C127—21no—
124C2×D4×C127—41no—
125C2×D4×C127—41no—
126C2×D4×C127—41no—
127C2×D4×C127—41no—
128C2×D4×C127—42no—
129C2×D4×C127—42no—
130C2×D4×C127—42no—
131C2×D4×C127—42no—
132C2×D4×C127—42no—
133C2×D4×C127—41no—
134C2×D4×C127—41no—
135C2×D4×C127—41no—
136C2×D4×C127—41no—
137C2×D4×C127—42no—
138C2×D4×C127—42no—
139C2×D4×C127—41no—
140C2×D4×C127—41no—
141C2×D4×C127—41no—
142C2×D4×C127—44no—
143C2×D4×C127—42no—
144C2×D4×C127—42no—
145C2×D4×C127—42no—
146C2×D4×C127—41no—
147C2×D4×C127—41no—
148C2×D4×C127—41no—
149C2×D4×C127—41no—
150C2×D4×C127—41no—
151C2×D4×C127—41no—
152C2×D4×C127—81no—
153C2×D4×C127—81no—
154C2×D4×C127—81no—
155C2×D4×C127—81no—
156C2×D4×C127—81no—
157C2×D4×C127—81no—
158C2×D4×C127—82no—
159C2×D4×C127—82no—
160C2×D4×C127C2×D411yescharacteristic
161C2×D4×C127C2×D411yescharacteristic
162C2×D4×C127C2×D411yescharacteristic
163C2×D4×C127#4111yescharacteristic
164C22×C4×C127—21no—
165C22×C4×C127—21no—
166C22×C4×C127—21no—
167C22×C4×C127—21no—
168C22×C4×C127—21no—
169C22×C4×C127—21no—
170C22×C4×C127—41no—
171C22×C4×C127—42no—
172C22×C4×C127—41no—
173C22×C4×C127—41no—
174C22×C4×C127—41no—
175C22×C4×C127C2×D411yescharacteristic
176SD16×C127—44no—
177D8×C127—44no—
178M16×C127—22no—
179M16×C127—41no—
180C2×C8×C127—41no—
181C4⋊C4×C127—42no—
182C22⋊C4×C127—24no—
183C22⋊C4×C127—21no—
184C22⋊C4×C127—22no—
185C22⋊C4×C127—21no—
186C22⋊C4×C127—42no—
187C22⋊C4×C127—42no—
188C22⋊C4×C127—42no—
189C22⋊C4×C127—44no—
190C22⋊C4×C127—41no—
191C22⋊C4×C127—41no—
192C22⋊C4×C127—41no—
193C22⋊C4×C127—41no—
194C22⋊C4×C127—41no—
195C22⋊C4×C127—41no—
196C22⋊C4×C127—81no—
197C22⋊C4×C127—82no—
198C42×C127—21no—
199C42×C127—21no—
200C23×C127—21no—
201C23×C127—21no—
202C23×C127—21no—
203C23×C127—21no—
204C23×C127—22no—
205C23×C127—22no—
206C23×C127—22no—
207C23×C127—41no—
208C23×C127—41no—
209C23×C127—41no—
210C23×C127—41no—
211C23×C127—41no—
212C23×C127—42no—
213C23×C127—41no—
214C23×C127—41no—
215C23×C127—41no—
216C23×C127—41no—
217C23×C127—41no—
218C23×C127—41no—
219C23×C127—41no—
220C23×C127—41no—
221C23×C127—42no—
222C23×C127—42no—
223C23×C127—41no—
224C23×C127—41no—
225C23×C127—41no—
226C23×C127—41no—
227C23×C127—41no—
228C23×C127—41no—
229C23×C127—41no—
230C23×C127—81no—
231C23×C127—82no—
232C23×C127—81no—
233C23×C127—82no—
234C23×C127—84no—
235C23×C127—81no—
236C23×C127—81no—
237C23×C127—81no—
238C23×C127—81no—
239C23×C127—81no—
240C23×C127#12011yescharacteristic
241C23×C127#12011yescharacteristic
242C23×C127#12111yescharacteristic
243C23×C127#12111yescharacteristic
244C23×C127#12711yescharacteristic
245Q8×C127—22no—
246Q8×C127—41no—
247D4×C127—22no—
248D4×C127—41no—
249D4×C127—41no—
250D4×C127—41no—
251D4×C127—41no—
252D4×C127—41no—
253D4×C127—42no—
254D4×C127—42no—
255D4×C127—42no—
256D4×C127—42no—
257D4×C127—42no—
258D4×C127—42no—
259D4×C127—42no—
260D4×C127—81no—
261D4×C127—82no—
262D4×C127—82no—
263D4×C127—82no—
264D4×C127—82no—
265D4×C127—84no—
266D4×C127—82no—
267D4×C127—82no—
268D4×C127—84no—
269D4×C127—88no—
270C2×C4×C127—21no—
271C2×C4×C127—21no—
272C2×C4×C127—22no—
273C2×C4×C127—22no—
274C2×C4×C127—22no—
275C2×C4×C127—22no—
276C2×C4×C127—42no—
277C2×C4×C127—42no—
278C2×C4×C127—41no—
279C2×C4×C127—41no—
280C2×C4×C127—41no—
281C2×C4×C127—41no—
282C2×C4×C127—41no—
283C2×C4×C127—41no—
284C2×C4×C127—41no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—41no—
288C2×C4×C127—41no—
289C2×C4×C127—41no—
290C2×C4×C127—41no—
291C2×C4×C127—41no—
292C2×C4×C127—41no—
293C2×C4×C127—81no—
294C2×C4×C127—81no—
295C2×C4×C127—81no—
296C2×C4×C127—81no—
297C2×C4×C127—81no—
298C2×C4×C127—81no—
299C2×C4×C127#12011yescharacteristic
300C2×C4×C127#12111yescharacteristic
301C8×C127—42no—
302C22×C127—21no—
303C22×C127—21no—
304C22×C127—21no—
305C22×C127—21no—
306C22×C127—21no—
307C22×C127—21no—
308C22×C127—41no—
309C22×C127—41no—
310C22×C127—41no—
311C22×C127—41no—
312C22×C127—42no—
313C22×C127—42no—
314C22×C127—41no—
315C22×C127—41no—
316C22×C127—41no—
317C22×C127—41no—
318C22×C127—44no—
319C22×C127—42no—
320C22×C127—42no—
321C22×C127—81no—
322C22×C127—81no—
323C22×C127—81no—
324C22×C127—81no—
325C22×C127—81no—
326C22×C127—81no—
327C22×C127—81no—
328C22×C127—81no—
329C22×C127—82no—
330C22×C127—82no—
331C22×C127—82no—
332C22×C127—82no—
333C22×C127—82no—
334C22×C127—81no—
335C22×C127—81no—
336C22×C127—81no—
337C22×C127—81no—
338C22×C127—81no—
339C22×C127—81no—
340C22×C127—81no—
341C22×C127—161no—
342C22×C127—161no—
343C22×C127#39211yescharacteristic
344C22×C127B(4,𝔽2)11yescharacteristic
345C22×C127B(4,𝔽2)11yescharacteristic
346C4×C127—21no—
347C4×C127—21no—
348C4×C127—42no—
349C4×C127—42no—
350C4×C127—42no—
351C4×C127—81no—
352C4×C127—81no—
353C4×C127—82no—
354C4×C127—161no—
355#13346C12711yesmaximal, characteristic, direct product factor, Sylow
356C2×C127—21no—
357C2×C127—21no—
358C2×C127—41no—
359C2×C127—41no—
360C2×C127—41no—
361C2×C127—41no—
362C2×C127—82no—
363C2×C127—82no—
364C2×C127—161no—
365C2×C127#202111yescharacteristic
366C2×C127#219611yescharacteristic
367C2×C127#220011yescharacteristic
368C2×B(4,𝔽2)C2×C12711yescharacteristic, complemented
369C2×#453C2×C12711yescharacteristic, complemented
370#2669C2×C12711yescharacteristic, complemented
371C2×#353C2×C12711yescharacteristic, complemented
372C2×AΣL(1,𝔽16)C2×C12711yescharacteristic, complemented
373#1790C2×C12711yescharacteristic, complemented
374#1390C2×C12711yescharacteristic, complemented
375C127#1334611yescharacteristic, direct product factor, Sylow
376C2×H(5,𝔽2)C22×C12711yescharacteristic
377C2×AGL(1,ℤ/8)—21no—
378C2×#127C22×C12711yescharacteristic
379C2×#121—21no—
380C2×#120—21no—
381C2×#120—21no—
382C2×#120C22×C12711yescharacteristic
383B(4,𝔽2)—22no—
384B(4,𝔽2)—22no—
385#453—22no—
386#453—22no—
387C2×#104—21no—
388C2×#100C22×C12711yescharacteristic
389C2×#99—21no—
390C2×#99—21no—
391C2×#99C22×C12711yescharacteristic
392C2×#99C22×C12711yescharacteristic
393#394—21no—
394#392—21no—
395#392—21no—
396#388—21no—
397#386—21no—
398#386C22×C12711yescharacteristic
399#353—22no—
400AΣL(1,𝔽16)—22no—
401C25D4×C12711yescharacteristic
402H(5,𝔽2)—21no—
403H(5,𝔽2)—21no—
404H(5,𝔽2)—21no—
405H(5,𝔽2)—42no—
406H(5,𝔽2)D4×C12712yescomplemented
407C2×#41—21no—
408C2×#41—41no—
409C22×D4—21no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—41no—
417C22×D4—41no—
418C22×D4D4×C12711yescharacteristic, complemented
419C22×D4C23×C12711yescharacteristic
420C23×C4D4×C12711yescharacteristic, complemented
421AGL(1,ℤ/8)—24no—
422AGL(1,ℤ/8)—42no—
423C2×SD16—41no—
424C2×D8—41no—
425C2×M16—21no—
426#127—21no—
427#127—21no—
428#127—21no—
429#127—21no—
430#121—44no—
431#120—24no—
432#120—21no—
433#120—21no—
434#120—21no—
435#120—21no—
436#120—44no—
437#120—42no—
438C2×C4⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—41no—
448C2×C22⋊C4—41no—
449C2×C22⋊C4D4×C12711yescharacteristic
450C2×C22⋊C4D4×C12711yescharacteristic, complemented
451C2×C42D4×C12711yescharacteristic, complemented
452#104—24no—
453#100—21no—
454#100D4×C12712yescomplemented
455#99—24no—
456#99—21no—
457#99—21no—
458#99—21no—
459#99—42no—
460#99D4×C12712yescomplemented
461#95—21no—
462#95—21no—
463#95—41no—
464C24—21no—
465C24—21no—
466C24—21no—
467C24—21no—
468C24—21no—
469C24—21no—
470C24—41no—
471C24—41no—
472C24—42no—
473C24—81no—
474C24C2×D4×C12711yescharacteristic
475C24C2×D4×C12711yescharacteristic
476#41—22no—
477#41—22no—
478#41—42no—
479#41—41no—
480#41—42no—
481#41—42no—
482#41—42no—
483#41—41no—
484C2×Q8—21no—
485C2×D4—21no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—41no—
508C2×D4—41no—
509C2×D4—41no—
510C2×D4—44no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4—81no—
525C2×D4—81no—
526C2×D4—82no—
527C2×D4—82no—
528C2×D4C2×D4×C12711yescharacteristic
529C2×D4C2×D4×C12711yescharacteristic
530C2×D4C2×D4×C12711yescharacteristic
531C2×D4#41×C12711yescharacteristic
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—41no—
539C22×C4—42no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4C2×D4×C12711yescharacteristic
544SD16—44no—
545D8—44no—
546M16—22no—
547M16—41no—
548C2×C8—41no—
549C4⋊C4—42no—
550C22⋊C4—24no—
551C22⋊C4—21no—
552C22⋊C4—22no—
553C22⋊C4—21no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—44no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—81no—
565C22⋊C4—82no—
566C42—21no—
567C42—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—42no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—81no—
599C23—82no—
600C23—81no—
601C23—82no—
602C23—84no—
603C23—81no—
604C23—81no—
605C23—81no—
606C23—81no—
607C23—81no—
608C23#120×C12711yescharacteristic
609C23#120×C12711yescharacteristic
610C23#121×C12711yescharacteristic
611C23#121×C12711yescharacteristic
612C23#127×C12711yescharacteristic
613Q8—22no—
614Q8—41no—
615D4—22no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—81no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—84no—
634D4—82no—
635D4—82no—
636D4—84no—
637D4—88no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—81no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4#120×C12711yescharacteristic
668C2×C4#121×C12711yescharacteristic
669C8—42no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—44no—
687C22—42no—
688C22—42no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—82no—
701C22—82no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—161no—
710C22—161no—
711C22#392×C12711yescharacteristic
712C22B(4,𝔽2)×C12711yescharacteristic
713C22B(4,𝔽2)×C12711yescharacteristic
714C4—21no—
715C4—21no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—82no—
722C4—161no—
723C2—21no—
724C2—21no—
725C2—41no—
726C2—41no—
727C2—41no—
728C2—41no—
729C2—82no—
730C2—82no—
731C2—161no—
732C2C127×#202111yescharacteristic
733C2C127×#219611yescharacteristic
734C2C127×#220011yescharacteristic
subgroupG/H
center, socleC22×C127B(4,𝔽2)
commutator, Frattini, cosocleC22×D4C23×C127
LCSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C127 ◁ C23×C127 ◁ C22×D4×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×B(4,𝔽2)×C127C2semidirect
2. C2×#453×C127C2semidirect
3. C127×#2669C2semidirect
4. C2×#353×C127C2semidirect
5. C2×AΣL(1,𝔽16)×C127C2semidirect
6. C127×#1790C2semidirect
7. C127×#1390C2semidirect
38. H(5,𝔽2)×C127D4semidirect
50. C22×D4×C127D4semidirect
52. C23×C4×C127D4semidirect
82. C2×C22⋊C4×C127D4semidirect
83. C2×C42×C127D4semidirect
86. #100×C127D4semidirect
92. #99×C127D4semidirect
355. #13346C127direct (N × H)
368. C2×B(4,𝔽2)C2×C127semidirect
369. C2×#453C2×C127semidirect
370. #2669C2×C127semidirect
371. C2×#353C2×C127semidirect
372. C2×AΣL(1,𝔽16)C2×C127semidirect
373. #1790C2×C127semidirect
374. #1390C2×C127semidirect
375. C127#13346direct (N × H)
406. H(5,𝔽2)D4×C127semidirect
418. C22×D4D4×C127semidirect
420. C23×C4D4×C127semidirect
450. C2×C22⋊C4D4×C127semidirect
451. C2×C42D4×C127semidirect
454. #100D4×C127semidirect
460. #99D4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×B(4,𝔽2)×C1272
C2×#453×C1272
C127×#26692
C2×#353×C1272
C2×AΣL(1,𝔽16)×C1272
C127×#17902
C127×#13902
#13346127