Finite Group Databasebeta

← C127×#17086 #44580759

Subgroups — C127×#17086 #44580759

Order 32512.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#397×C127C211yesmaximal, characteristic, complemented
2C2×#394×C127C211yesmaximal, characteristic, complemented
3C2×#392×C127C211yesmaximal, characteristic, complemented
4C2×#392×C127C211yesmaximal, characteristic, complemented
5C2×#392×C127C211yesmaximal, characteristic, complemented
6C2×#392×C127C211yesmaximal, characteristic, complemented
7C127×#1443C211yesmaximal, characteristic, complemented
8C127×#1440C211yesmaximal, characteristic, complemented
9C127×#1440C211yesmaximal, characteristic, complemented
10C127×#1439C211yesmaximal, characteristic, complemented
11C127×#1438C211yesmaximal, characteristic, complemented
12C127×#1438C211yesmaximal, characteristic, complemented
13C127×#1438C211yesmaximal, characteristic, complemented
14C127×#1438C211yesmaximal, characteristic, complemented
15C127×#1438C211yesmaximal, characteristic, complemented
16C23×D4×C127C2211yescharacteristic
17C23×D4×C127C2211yescharacteristic
18C23×D4×C127C2211yescharacteristic
19C23×D4×C127C2211yescharacteristic
20C23×D4×C127C2211yescharacteristic
21C23×D4×C127C2211yescharacteristic
22C22×C4⋊C4×C127C2211yescharacteristic
23C22×C22⋊C4×C127C2211yescharacteristic
24C22×C22⋊C4×C127C2211yescharacteristic
25C22×C22⋊C4×C127C2211yescharacteristic
26C22×C22⋊C4×C127C2211yescharacteristic
27C22×C22⋊C4×C127C2211yescharacteristic
28C22×C22⋊C4×C127C2211yescharacteristic
29C22×C22⋊C4×C127C2211yescharacteristic
30C22×C22⋊C4×C127C2211yescharacteristic
31C22×C22⋊C4×C127C2211yescharacteristic
32C22×C22⋊C4×C127C2211yescharacteristic
33C22×C22⋊C4×C127C2211yescharacteristic
34C22×C22⋊C4×C127C2211yescharacteristic
35C22×C22⋊C4×C127C2211yescharacteristic
36C22×C22⋊C4×C127C2211yescharacteristic
37C22×C22⋊C4×C127C2211yescharacteristic
38C22×C22⋊C4×C127C2211yescharacteristic
39#397×C127—24no—
40#394×C127—24no—
41#392×C127—24no—
42#392×C127—24no—
43#392×C127—24no—
44#392×C127—24no—
45C2×#95×C127C2211yescharacteristic
46C2×#95×C127C2211yescharacteristic
47C2×#95×C127C2211yescharacteristic
48C2×#95×C127C2211yescharacteristic
49C2×#95×C127C2211yescharacteristic
50C2×#95×C127C2211yescharacteristic
51C2×#95×C127C2211yescharacteristic
52C2×#95×C127C2211yescharacteristic
53C2×#95×C127C2211yescharacteristic
54C2×#95×C127C2211yescharacteristic
55C2×#95×C127C2211yescharacteristic
56C2×#95×C127C2211yescharacteristic
57C25×C127C2311yescharacteristic
58C25×C127C2311yescharacteristic
59C25×C127C2311yescharacteristic
60C25×C127C2311yescharacteristic
61C22×D4×C127—22no—
62C22×D4×C127—22no—
63C22×D4×C127—22no—
64C22×D4×C127—22no—
65C22×D4×C127—22no—
66C22×D4×C127—22no—
67C22×D4×C127—22no—
68C22×D4×C127—22no—
69C22×D4×C127—22no—
70C22×D4×C127—22no—
71C22×D4×C127—22no—
72C22×D4×C127—22no—
73C22×D4×C127—22no—
74C22×D4×C127—22no—
75C22×D4×C127—22no—
76C22×D4×C127—41no—
77C22×D4×C127—41no—
78C22×D4×C127—41no—
79C22×D4×C127—41no—
80C22×D4×C127—41no—
81C22×D4×C127—41no—
82C22×D4×C127—41no—
83C22×D4×C127—41no—
84C22×D4×C127—41no—
85C22×D4×C127—41no—
86C22×D4×C127—41no—
87C22×D4×C127—41no—
88C22×D4×C127—41no—
89C22×D4×C127—41no—
90C22×D4×C127—41no—
91C22×D4×C127—41no—
92C22×D4×C127—41no—
93C22×D4×C127—41no—
94C22×D4×C127—41no—
95C22×D4×C127—41no—
96C22×D4×C127—41no—
97C22×D4×C127—41no—
98C22×D4×C127—41no—
99C22×D4×C127—41no—
100C22×D4×C127—41no—
101C22×D4×C127—41no—
102C22×D4×C127D414yescomplemented
103C23×C4×C127C2311yescharacteristic
104C23×C4×C127C2311yescharacteristic
105C23×C4×C127C2311yescharacteristic
106C23×C4×C127C2311yescharacteristic
107C23×C4×C127C2311yescharacteristic
108C23×C4×C127C2311yescharacteristic
109C23×C4×C127C2311yescharacteristic
110C23×C4×C127C2311yescharacteristic
111C23×C4×C127C2311yescharacteristic
112C23×C4×C127C2311yescharacteristic
113C23×C4×C127C2311yescharacteristic
114C2×C4⋊C4×C127—22no—
115C2×C4⋊C4×C127—22no—
116C2×C4⋊C4×C127—41no—
117C2×C22⋊C4×C127—22no—
118C2×C22⋊C4×C127—22no—
119C2×C22⋊C4×C127—22no—
120C2×C22⋊C4×C127—22no—
121C2×C22⋊C4×C127—22no—
122C2×C22⋊C4×C127—22no—
123C2×C22⋊C4×C127—22no—
124C2×C22⋊C4×C127—22no—
125C2×C22⋊C4×C127—22no—
126C2×C22⋊C4×C127—22no—
127C2×C22⋊C4×C127—22no—
128C2×C22⋊C4×C127—22no—
129C2×C22⋊C4×C127—22no—
130C2×C22⋊C4×C127—22no—
131C2×C22⋊C4×C127—22no—
132C2×C22⋊C4×C127—22no—
133C2×C22⋊C4×C127—22no—
134C2×C22⋊C4×C127—22no—
135C2×C22⋊C4×C127—22no—
136C2×C22⋊C4×C127—41no—
137C2×C22⋊C4×C127—41no—
138C2×C22⋊C4×C127—41no—
139C2×C22⋊C4×C127—41no—
140C2×C22⋊C4×C127—41no—
141C2×C22⋊C4×C127—41no—
142C2×C22⋊C4×C127—41no—
143C2×C22⋊C4×C127—41no—
144C2×C22⋊C4×C127—41no—
145C2×C22⋊C4×C127—41no—
146C2×C22⋊C4×C127—41no—
147C2×C22⋊C4×C127—41no—
148C2×C22⋊C4×C127—41no—
149C2×C22⋊C4×C127—41no—
150C2×C22⋊C4×C127—41no—
151C2×C22⋊C4×C127—41no—
152C2×C22⋊C4×C127—41no—
153C2×C22⋊C4×C127—41no—
154C2×C22⋊C4×C127—41no—
155C2×C22⋊C4×C127—41no—
156C2×C22⋊C4×C127—41no—
157C2×C22⋊C4×C127—41no—
158C2×C22⋊C4×C127—41no—
159C2×C22⋊C4×C127—41no—
160C2×C22⋊C4×C127—41no—
161C2×C22⋊C4×C127—41no—
162C2×C22⋊C4×C127—41no—
163C2×C22⋊C4×C127—41no—
164C2×C22⋊C4×C127D414yescomplemented
165#95×C127—22no—
166#95×C127—22no—
167#95×C127—22no—
168#95×C127—22no—
169#95×C127—22no—
170#95×C127—22no—
171#95×C127—41no—
172#95×C127—41no—
173#95×C127—41no—
174#95×C127—41no—
175#95×C127—41no—
176#95×C127D414yescomplemented
177C24×C127—21no—
178C24×C127—21no—
179C24×C127—21no—
180C24×C127—21no—
181C24×C127—21no—
182C24×C127—21no—
183C24×C127—21no—
184C24×C127—21no—
185C24×C127—21no—
186C24×C127—21no—
187C24×C127—21no—
188C24×C127—21no—
189C24×C127—21no—
190C24×C127—21no—
191C24×C127—21no—
192C24×C127—21no—
193C24×C127—21no—
194C24×C127—21no—
195C24×C127—21no—
196C24×C127—21no—
197C24×C127—21no—
198C24×C127—21no—
199C24×C127—21no—
200C24×C127—21no—
201C24×C127—21no—
202C24×C127—21no—
203C24×C127—21no—
204C24×C127—21no—
205C24×C127—21no—
206C24×C127—21no—
207C24×C127—21no—
208C24×C127—21no—
209C24×C127—21no—
210C24×C127—21no—
211C24×C127—21no—
212C24×C127—21no—
213C24×C127—21no—
214C24×C127—21no—
215C24×C127—21no—
216C24×C127—21no—
217C24×C127—21no—
218C24×C127—21no—
219C24×C127—21no—
220C24×C127—21no—
221C24×C127—21no—
222C24×C127—21no—
223C24×C127—21no—
224C24×C127—21no—
225C24×C127—21no—
226C24×C127—21no—
227C24×C127—21no—
228C24×C127—21no—
229C24×C127—21no—
230C24×C127—21no—
231C24×C127—21no—
232C24×C127—21no—
233C24×C127C2×D412yes—
234C24×C127C2×D412yes—
235C24×C127C2×D412yes—
236C24×C127#4112yes—
237C24×C127C2411yescharacteristic
238C2×D4×C127—44no—
239C2×D4×C127—44no—
240C2×D4×C127—44no—
241C2×D4×C127—44no—
242C2×D4×C127—44no—
243C2×D4×C127—44no—
244C2×D4×C127—44no—
245C2×D4×C127—44no—
246C2×D4×C127—44no—
247C2×D4×C127—44no—
248C2×D4×C127—44no—
249C2×D4×C127—44no—
250C2×D4×C127—44no—
251C2×D4×C127—44no—
252C2×D4×C127—44no—
253C2×D4×C127—44no—
254C2×D4×C127—44no—
255C2×D4×C127—44no—
256C2×D4×C127—44no—
257C2×D4×C127—44no—
258C2×D4×C127—44no—
259C2×D4×C127—44no—
260C2×D4×C127—44no—
261C2×D4×C127—44no—
262C2×D4×C127—44no—
263C2×D4×C127—44no—
264C2×D4×C127—44no—
265C2×D4×C127—44no—
266C2×D4×C127—44no—
267C2×D4×C127—44no—
268C2×D4×C127—44no—
269C2×D4×C127—44no—
270C2×D4×C127—44no—
271C2×D4×C127—44no—
272C2×D4×C127—44no—
273C2×D4×C127—44no—
274C2×D4×C127—44no—
275C2×D4×C127—44no—
276C2×D4×C127—44no—
277C2×D4×C127—44no—
278C2×D4×C127—44no—
279C2×D4×C127—44no—
280C22×C4×C127—21no—
281C22×C4×C127—21no—
282C22×C4×C127—21no—
283C22×C4×C127—21no—
284C22×C4×C127—21no—
285C22×C4×C127—21no—
286C22×C4×C127—21no—
287C22×C4×C127—21no—
288C22×C4×C127—21no—
289C22×C4×C127—21no—
290C22×C4×C127—21no—
291C22×C4×C127—21no—
292C22×C4×C127—21no—
293C22×C4×C127—21no—
294C22×C4×C127—21no—
295C22×C4×C127—21no—
296C22×C4×C127—21no—
297C22×C4×C127—21no—
298C22×C4×C127—21no—
299C22×C4×C127—21no—
300C22×C4×C127—21no—
301C22×C4×C127—21no—
302C22×C4×C127—21no—
303C22×C4×C127—21no—
304C22×C4×C127—21no—
305C22×C4×C127—21no—
306C22×C4×C127—21no—
307C22×C4×C127—21no—
308C22×C4×C127—21no—
309C22×C4×C127—21no—
310C22×C4×C127—21no—
311C22×C4×C127—21no—
312C22×C4×C127—21no—
313C22×C4×C127—21no—
314C22×C4×C127—21no—
315C22×C4×C127—21no—
316C22×C4×C127—21no—
317C22×C4×C127—21no—
318C22×C4×C127—21no—
319C22×C4×C127—21no—
320C22×C4×C127—21no—
321C22×C4×C127—21no—
322C22×C4×C127—21no—
323C22×C4×C127—21no—
324C22×C4×C127—21no—
325C22×C4×C127—21no—
326C22×C4×C127—21no—
327C22×C4×C127—21no—
328C22×C4×C127—21no—
329C22×C4×C127—21no—
330C22×C4×C127—21no—
331C22×C4×C127—21no—
332C22×C4×C127—21no—
333C22×C4×C127—21no—
334C22×C4×C127—21no—
335C22×C4×C127—21no—
336C22×C4×C127—21no—
337C22×C4×C127—21no—
338C22×C4×C127—21no—
339C22×C4×C127—21no—
340C22×C4×C127—21no—
341C22×C4×C127—21no—
342C22×C4×C127—21no—
343C22×C4×C127—21no—
344C22×C4×C127—21no—
345C22×C4×C127—21no—
346C22×C4×C127—21no—
347C22×C4×C127—21no—
348C22×C4×C127—21no—
349C22×C4×C127—21no—
350C22×C4×C127C2×D412yes—
351C22×C4×C127C2×D412yes—
352C22×C4×C127C2×D412yes—
353C22×C4×C127C2×D412yes—
354C22×C4×C127C2×D412yes—
355C22×C4×C127C2×D412yes—
356C22×C4×C127#4112yes—
357C4⋊C4×C127—44no—
358C22⋊C4×C127—44no—
359C22⋊C4×C127—44no—
360C22⋊C4×C127—44no—
361C22⋊C4×C127—44no—
362C22⋊C4×C127—44no—
363C22⋊C4×C127—44no—
364C22⋊C4×C127—44no—
365C22⋊C4×C127—44no—
366C22⋊C4×C127—44no—
367C22⋊C4×C127—44no—
368C22⋊C4×C127—44no—
369C22⋊C4×C127—44no—
370C22⋊C4×C127—44no—
371C22⋊C4×C127—44no—
372C22⋊C4×C127—44no—
373C22⋊C4×C127—44no—
374C23×C127—22no—
375C23×C127—22no—
376C23×C127—22no—
377C23×C127—22no—
378C23×C127—22no—
379C23×C127—22no—
380C23×C127—22no—
381C23×C127—22no—
382C23×C127—22no—
383C23×C127—22no—
384C23×C127—22no—
385C23×C127—22no—
386C23×C127—22no—
387C23×C127—22no—
388C23×C127—22no—
389C23×C127—22no—
390C23×C127—22no—
391C23×C127—22no—
392C23×C127—22no—
393C23×C127—22no—
394C23×C127—22no—
395C23×C127—22no—
396C23×C127—22no—
397C23×C127—22no—
398C23×C127—22no—
399C23×C127—22no—
400C23×C127—22no—
401C23×C127—22no—
402C23×C127—41no—
403C23×C127—41no—
404C23×C127—41no—
405C23×C127—41no—
406C23×C127—41no—
407C23×C127—41no—
408C23×C127—41no—
409C23×C127—41no—
410C23×C127—41no—
411C23×C127—41no—
412C23×C127—41no—
413C23×C127—41no—
414C23×C127—41no—
415C23×C127—41no—
416C23×C127—41no—
417C23×C127—41no—
418C23×C127—41no—
419C23×C127—41no—
420C23×C127—41no—
421C23×C127—41no—
422C23×C127—41no—
423C23×C127—41no—
424C23×C127—41no—
425C23×C127—41no—
426C23×C127—41no—
427C23×C127—41no—
428C23×C127—41no—
429C23×C127—41no—
430C23×C127—41no—
431C23×C127—41no—
432C23×C127—41no—
433C23×C127—41no—
434C23×C127—41no—
435C23×C127—41no—
436C23×C127—41no—
437C23×C127—41no—
438C23×C127—41no—
439C23×C127—41no—
440C23×C127—41no—
441C23×C127—41no—
442C23×C127—41no—
443C23×C127—41no—
444C23×C127—41no—
445C23×C127—41no—
446C23×C127—41no—
447C23×C127—41no—
448C23×C127—41no—
449C23×C127—41no—
450C23×C127—41no—
451C23×C127—41no—
452C23×C127—41no—
453C23×C127—41no—
454C23×C127—41no—
455C23×C127—41no—
456C23×C127—41no—
457C23×C127—41no—
458C23×C127—41no—
459C23×C127—41no—
460C23×C127—41no—
461C23×C127—41no—
462C23×C127—41no—
463C23×C127—41no—
464C23×C127—41no—
465C23×C127—41no—
466C23×C127—41no—
467C23×C127—41no—
468C23×C127—41no—
469C23×C127—41no—
470C23×C127—41no—
471C23×C127—41no—
472C23×C127—41no—
473C23×C127—41no—
474C23×C127—41no—
475C23×C127—41no—
476C23×C127—41no—
477C23×C127—41no—
478C23×C127—41no—
479C23×C127—41no—
480C23×C127—41no—
481C23×C127—41no—
482C23×C127—41no—
483C23×C127—41no—
484C23×C127—41no—
485C23×C127—41no—
486C23×C127—41no—
487C23×C127—41no—
488C23×C127—41no—
489C23×C127—41no—
490C23×C127—41no—
491C23×C127—41no—
492C23×C127—41no—
493C23×C127—41no—
494C23×C127—41no—
495C23×C127—41no—
496C23×C127—41no—
497C23×C127—41no—
498C23×C127—41no—
499C23×C127—41no—
500C23×C127—41no—
501C23×C127—41no—
502C23×C127—41no—
503C23×C127—41no—
504C23×C127—41no—
505C23×C127—41no—
506C23×C127—41no—
507C23×C127—41no—
508C23×C127—41no—
509C23×C127—41no—
510C23×C127—41no—
511C23×C127—41no—
512C23×C127—41no—
513C23×C127—41no—
514C23×C127C22×D411yescharacteristic
515C23×C127C22×D411yescharacteristic
516C23×C127C22×D411yescharacteristic
517C23×C127C2×#4111yescharacteristic
518C23×C127C2×#4111yescharacteristic
519C23×C127H(5,𝔽2)11yescharacteristic
520C23×C127H(5,𝔽2)11yescharacteristic
521C23×C127H(5,𝔽2)11yescharacteristic
522C23×C127H(5,𝔽2)11yescharacteristic
523C23×C127H(5,𝔽2)11yescharacteristic
524C23×C127H(5,𝔽2)11yescharacteristic
525C23×C127H(5,𝔽2)11yescharacteristic
526C23×C127H(5,𝔽2)11yescharacteristic
527C23×C127H(5,𝔽2)11yescharacteristic
528C23×C127H(5,𝔽2)11yescharacteristic
529D4×C127—416no—
530D4×C127—416no—
531D4×C127—416no—
532D4×C127—416no—
533D4×C127—416no—
534D4×C127—416no—
535C2×C4×C127—22no—
536C2×C4×C127—22no—
537C2×C4×C127—22no—
538C2×C4×C127—22no—
539C2×C4×C127—22no—
540C2×C4×C127—22no—
541C2×C4×C127—22no—
542C2×C4×C127—22no—
543C2×C4×C127—22no—
544C2×C4×C127—22no—
545C2×C4×C127—22no—
546C2×C4×C127—22no—
547C2×C4×C127—22no—
548C2×C4×C127—22no—
549C2×C4×C127—22no—
550C2×C4×C127—22no—
551C2×C4×C127—22no—
552C2×C4×C127—22no—
553C2×C4×C127—22no—
554C2×C4×C127—22no—
555C2×C4×C127—22no—
556C2×C4×C127—41no—
557C2×C4×C127—41no—
558C2×C4×C127—41no—
559C2×C4×C127—41no—
560C2×C4×C127—41no—
561C2×C4×C127—41no—
562C2×C4×C127—41no—
563C2×C4×C127—41no—
564C2×C4×C127—41no—
565C2×C4×C127—41no—
566C2×C4×C127—41no—
567C2×C4×C127—41no—
568C2×C4×C127—41no—
569C2×C4×C127—41no—
570C2×C4×C127—41no—
571C2×C4×C127—41no—
572C2×C4×C127—41no—
573C2×C4×C127—41no—
574C2×C4×C127—41no—
575C2×C4×C127—41no—
576C2×C4×C127—41no—
577C2×C4×C127—41no—
578C2×C4×C127—41no—
579C2×C4×C127—41no—
580C2×C4×C127—41no—
581C2×C4×C127—41no—
582C2×C4×C127—41no—
583C2×C4×C127—41no—
584C2×C4×C127—41no—
585C2×C4×C127—41no—
586C2×C4×C127—41no—
587C2×C4×C127—41no—
588C2×C4×C127—41no—
589C2×C4×C127—41no—
590C2×C4×C127—41no—
591C2×C4×C127—41no—
592C2×C4×C127—41no—
593C2×C4×C127—41no—
594C2×C4×C127—41no—
595C2×C4×C127—41no—
596C2×C4×C127—41no—
597C2×C4×C127—41no—
598C2×C4×C127—41no—
599C2×C4×C127—41no—
600C2×C4×C127—41no—
601C2×C4×C127—41no—
602C2×C4×C127—41no—
603C2×C4×C127—41no—
604C2×C4×C127—41no—
605C2×C4×C127—41no—
606C2×C4×C127—41no—
607C2×C4×C127—41no—
608C2×C4×C127—41no—
609C2×C4×C127—41no—
610C2×C4×C127—41no—
611C2×C4×C127—41no—
612C22×C127—42no—
613C22×C127—42no—
614C22×C127—42no—
615C22×C127—42no—
616C22×C127—42no—
617C22×C127—42no—
618C22×C127—42no—
619C22×C127—42no—
620C22×C127—42no—
621C22×C127—42no—
622C22×C127—42no—
623C22×C127—42no—
624C22×C127—42no—
625C22×C127—42no—
626C22×C127—42no—
627C22×C127—42no—
628C22×C127—42no—
629C22×C127—42no—
630C22×C127—42no—
631C22×C127—42no—
632C22×C127—42no—
633C22×C127—42no—
634C22×C127—42no—
635C22×C127—42no—
636C22×C127—42no—
637C22×C127—42no—
638C22×C127—42no—
639C22×C127—42no—
640C22×C127—81no—
641C22×C127—81no—
642C22×C127—81no—
643C22×C127—81no—
644C22×C127—81no—
645C22×C127—81no—
646C22×C127—81no—
647C22×C127—81no—
648C22×C127—81no—
649C22×C127—81no—
650C22×C127—81no—
651C22×C127—81no—
652C22×C127—81no—
653C22×C127—81no—
654C22×C127—81no—
655C22×C127—81no—
656C22×C127—81no—
657C22×C127—81no—
658C22×C127—81no—
659C22×C127—81no—
660C22×C127—81no—
661C22×C127—81no—
662C22×C127—81no—
663C22×C127—81no—
664C22×C127—81no—
665C22×C127—81no—
666C22×C127—81no—
667C22×C127—81no—
668C22×C127—81no—
669C22×C127—81no—
670C22×C127—81no—
671C22×C127—81no—
672C22×C127#53411yescharacteristic
673C22×C127#53411yescharacteristic
674C22×C127#53411yescharacteristic
675C22×C127#53411yescharacteristic
676C22×C127#53511yescharacteristic
677C22×C127#53511yescharacteristic
678C22×C127#53511yescharacteristic
679C22×C127#53511yescharacteristic
680C22×C127#53511yescharacteristic
681C22×C127#53811yescharacteristic
682C22×C127#53811yescharacteristic
683C22×C127#53811yescharacteristic
684C22×C127#53811yescharacteristic
685C22×C127#54011yescharacteristic
686C22×C127#54011yescharacteristic
687C22×C127D4211yescharacteristic
688C22×C127D4211yescharacteristic
689C22×C127D4211yescharacteristic
690C22×C127#54611yescharacteristic
691C22×C127#54611yescharacteristic
692C22×C127#54611yescharacteristic
693C22×C127#54611yescharacteristic
694C22×C127#54611yescharacteristic
695C22×C127#55011yescharacteristic
696C22×C127#55311yescharacteristic
697C22×C127#56011yescharacteristic
698C22×C127#56011yescharacteristic
699C22×C127#56011yescharacteristic
700C22×C127#56011yescharacteristic
701C22×C127#56011yescharacteristic
702C22×C127#56011yescharacteristic
703C22×C127#56011yescharacteristic
704C22×C127#56011yescharacteristic
705C22×C127#56011yescharacteristic
706C22×C127H(3,𝔽4)11yescharacteristic
707C4×C127—42no—
708C4×C127—42no—
709C4×C127—42no—
710C4×C127—42no—
711C4×C127—42no—
712C4×C127—42no—
713C4×C127—42no—
714C4×C127—81no—
715C4×C127—81no—
716C4×C127—81no—
717C4×C127—81no—
718#17086C12711yesmaximal, characteristic, direct product factor, Sylow
719C2×C127—82no—
720C2×C127—82no—
721C2×C127—82no—
722C2×C127—82no—
723C2×C127#266811yescharacteristic
724C2×C127#266911yescharacteristic
725C2×C127#267011yescharacteristic
726C2×C127#267311yescharacteristic
727C2×C127#267311yescharacteristic
728C2×C127#267811yescharacteristic
729C2×C127#267811yescharacteristic
730C2×C127#268811yescharacteristic
731C2×C127#270311yescharacteristic
732C2×C127#271411yescharacteristic
733C2×C127#281211yescharacteristic
734C2×C127#281511yescharacteristic
735C2×C127#281811yescharacteristic
736C2×C127#282511yescharacteristic
737C2×C127#282811yescharacteristic
738C2×#397C2×C12711yescharacteristic, complemented
739C2×#394C2×C12711yescharacteristic, complemented
740C2×#392C2×C12711yescharacteristic, complemented
741C2×#392C2×C12711yescharacteristic, complemented
742C2×#392C2×C12711yescharacteristic, complemented
743C2×#392C2×C12711yescharacteristic, complemented
744#1443C2×C12711yescharacteristic, complemented
745#1440C2×C12711yescharacteristic, complemented
746#1440C2×C12711yescharacteristic, complemented
747#1439C2×C12711yescharacteristic, complemented
748#1438C2×C12711yescharacteristic, complemented
749#1438C2×C12711yescharacteristic, complemented
750#1438C2×C12711yescharacteristic, complemented
751#1438C2×C12711yescharacteristic, complemented
752#1438C2×C12711yescharacteristic, complemented
753C127#1708611yescharacteristic, direct product factor, Sylow
754C23×D4C22×C12711yescharacteristic
755C23×D4C22×C12711yescharacteristic
756C23×D4C22×C12711yescharacteristic
757C23×D4C22×C12711yescharacteristic
758C23×D4C22×C12711yescharacteristic
759C23×D4C22×C12711yescharacteristic
760C22×C4⋊C4C22×C12711yescharacteristic
761C22×C22⋊C4C22×C12711yescharacteristic
762C22×C22⋊C4C22×C12711yescharacteristic
763C22×C22⋊C4C22×C12711yescharacteristic
764C22×C22⋊C4C22×C12711yescharacteristic
765C22×C22⋊C4C22×C12711yescharacteristic
766C22×C22⋊C4C22×C12711yescharacteristic
767C22×C22⋊C4C22×C12711yescharacteristic
768C22×C22⋊C4C22×C12711yescharacteristic
769C22×C22⋊C4C22×C12711yescharacteristic
770C22×C22⋊C4C22×C12711yescharacteristic
771C22×C22⋊C4C22×C12711yescharacteristic
772C22×C22⋊C4C22×C12711yescharacteristic
773C22×C22⋊C4C22×C12711yescharacteristic
774C22×C22⋊C4C22×C12711yescharacteristic
775C22×C22⋊C4C22×C12711yescharacteristic
776C22×C22⋊C4C22×C12711yescharacteristic
777#397—24no—
778#394—24no—
779#392—24no—
780#392—24no—
781#392—24no—
782#392—24no—
783C2×#95C22×C12711yescharacteristic
784C2×#95C22×C12711yescharacteristic
785C2×#95C22×C12711yescharacteristic
786C2×#95C22×C12711yescharacteristic
787C2×#95C22×C12711yescharacteristic
788C2×#95C22×C12711yescharacteristic
789C2×#95C22×C12711yescharacteristic
790C2×#95C22×C12711yescharacteristic
791C2×#95C22×C12711yescharacteristic
792C2×#95C22×C12711yescharacteristic
793C2×#95C22×C12711yescharacteristic
794C2×#95C22×C12711yescharacteristic
795C25C23×C12711yescharacteristic
796C25C23×C12711yescharacteristic
797C25C23×C12711yescharacteristic
798C25C23×C12711yescharacteristic
799C22×D4—22no—
800C22×D4—22no—
801C22×D4—22no—
802C22×D4—22no—
803C22×D4—22no—
804C22×D4—22no—
805C22×D4—22no—
806C22×D4—22no—
807C22×D4—22no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—41no—
815C22×D4—41no—
816C22×D4—41no—
817C22×D4—41no—
818C22×D4—41no—
819C22×D4—41no—
820C22×D4—41no—
821C22×D4—41no—
822C22×D4—41no—
823C22×D4—41no—
824C22×D4—41no—
825C22×D4—41no—
826C22×D4—41no—
827C22×D4—41no—
828C22×D4—41no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4D4×C12714yescomplemented
841C23×C4C23×C12711yescharacteristic
842C23×C4C23×C12711yescharacteristic
843C23×C4C23×C12711yescharacteristic
844C23×C4C23×C12711yescharacteristic
845C23×C4C23×C12711yescharacteristic
846C23×C4C23×C12711yescharacteristic
847C23×C4C23×C12711yescharacteristic
848C23×C4C23×C12711yescharacteristic
849C23×C4C23×C12711yescharacteristic
850C23×C4C23×C12711yescharacteristic
851C23×C4C23×C12711yescharacteristic
852C2×C4⋊C4—22no—
853C2×C4⋊C4—22no—
854C2×C4⋊C4—41no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4D4×C12714yescomplemented
903#95—22no—
904#95—22no—
905#95—22no—
906#95—22no—
907#95—22no—
908#95—22no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95D4×C12714yescomplemented
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24C2×D4×C12712yes—
972C24C2×D4×C12712yes—
973C24C2×D4×C12712yes—
974C24#41×C12712yes—
975C24C24×C12711yescharacteristic
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4C2×D4×C12712yes—
1089C22×C4C2×D4×C12712yes—
1090C22×C4C2×D4×C12712yes—
1091C22×C4C2×D4×C12712yes—
1092C22×C4C2×D4×C12712yes—
1093C22×C4C2×D4×C12712yes—
1094C22×C4#41×C12712yes—
1095C4⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23C22×D4×C12711yescharacteristic
1253C23C22×D4×C12711yescharacteristic
1254C23C22×D4×C12711yescharacteristic
1255C23C2×#41×C12711yescharacteristic
1256C23C2×#41×C12711yescharacteristic
1257C23H(5,𝔽2)×C12711yescharacteristic
1258C23H(5,𝔽2)×C12711yescharacteristic
1259C23H(5,𝔽2)×C12711yescharacteristic
1260C23H(5,𝔽2)×C12711yescharacteristic
1261C23H(5,𝔽2)×C12711yescharacteristic
1262C23H(5,𝔽2)×C12711yescharacteristic
1263C23H(5,𝔽2)×C12711yescharacteristic
1264C23H(5,𝔽2)×C12711yescharacteristic
1265C23H(5,𝔽2)×C12711yescharacteristic
1266C23H(5,𝔽2)×C12711yescharacteristic
1267D4—416no—
1268D4—416no—
1269D4—416no—
1270D4—416no—
1271D4—416no—
1272D4—416no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C22—42no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—42no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—42no—
1364C22—42no—
1365C22—42no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22#534×C12711yescharacteristic
1411C22#534×C12711yescharacteristic
1412C22#534×C12711yescharacteristic
1413C22#534×C12711yescharacteristic
1414C22#535×C12711yescharacteristic
1415C22#535×C12711yescharacteristic
1416C22#535×C12711yescharacteristic
1417C22#535×C12711yescharacteristic
1418C22#535×C12711yescharacteristic
1419C22#538×C12711yescharacteristic
1420C22#538×C12711yescharacteristic
1421C22#538×C12711yescharacteristic
1422C22#538×C12711yescharacteristic
1423C22#540×C12711yescharacteristic
1424C22#540×C12711yescharacteristic
1425C22D42×C12711yescharacteristic
1426C22D42×C12711yescharacteristic
1427C22D42×C12711yescharacteristic
1428C22#546×C12711yescharacteristic
1429C22#546×C12711yescharacteristic
1430C22#546×C12711yescharacteristic
1431C22#546×C12711yescharacteristic
1432C22#546×C12711yescharacteristic
1433C22#550×C12711yescharacteristic
1434C22#553×C12711yescharacteristic
1435C22#560×C12711yescharacteristic
1436C22#560×C12711yescharacteristic
1437C22#560×C12711yescharacteristic
1438C22#560×C12711yescharacteristic
1439C22#560×C12711yescharacteristic
1440C22#560×C12711yescharacteristic
1441C22#560×C12711yescharacteristic
1442C22#560×C12711yescharacteristic
1443C22#560×C12711yescharacteristic
1444C22H(3,𝔽4)×C12711yescharacteristic
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C2—82no—
1457C2—82no—
1458C2—82no—
1459C2—82no—
1460C2C127×#266811yescharacteristic
1461C2C127×#266911yescharacteristic
1462C2C127×#267011yescharacteristic
1463C2C127×#267311yescharacteristic
1464C2C127×#267311yescharacteristic
1465C2C127×#267811yescharacteristic
1466C2C127×#267811yescharacteristic
1467C2C127×#268811yescharacteristic
1468C2C127×#270311yescharacteristic
1469C2C127×#271411yescharacteristic
1470C2C127×#281211yescharacteristic
1471C2C127×#281511yescharacteristic
1472C2C127×#281811yescharacteristic
1473C2C127×#282511yescharacteristic
1474C2C127×#282811yescharacteristic
subgroupG/H
center, socleC24×C127C24
commutator, Frattini, cosocleC24C24×C127
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#397×C127C2semidirect
2. C2×#394×C127C2semidirect
3. C2×#392×C127C2semidirect
4. C2×#392×C127C2semidirect
5. C2×#392×C127C2semidirect
6. C2×#392×C127C2semidirect
7. C127×#1443C2semidirect
8. C127×#1440C2semidirect
9. C127×#1440C2semidirect
10. C127×#1439C2semidirect
11. C127×#1438C2semidirect
12. C127×#1438C2semidirect
13. C127×#1438C2semidirect
14. C127×#1438C2semidirect
15. C127×#1438C2semidirect
102. C22×D4×C127D4semidirect
164. C2×C22⋊C4×C127D4semidirect
176. #95×C127D4semidirect
718. #17086C127direct (N × H)
738. C2×#397C2×C127semidirect
739. C2×#394C2×C127semidirect
740. C2×#392C2×C127semidirect
741. C2×#392C2×C127semidirect
742. C2×#392C2×C127semidirect
743. C2×#392C2×C127semidirect
744. #1443C2×C127semidirect
745. #1440C2×C127semidirect
746. #1440C2×C127semidirect
747. #1439C2×C127semidirect
748. #1438C2×C127semidirect
749. #1438C2×C127semidirect
750. #1438C2×C127semidirect
751. #1438C2×C127semidirect
752. #1438C2×C127semidirect
753. C127#17086direct (N × H)
840. C22×D4D4×C127semidirect
902. C2×C22⋊C4D4×C127semidirect
914. #95D4×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#397×C1272
C2×#394×C1272
C2×#392×C1272
C127×#14432
C127×#14402
C127×#14392
C127×#14382
#17086127