Finite Group Databasebeta

← C127×#15284 #44578957

Subgroups — C127×#15284 #44578957

Order 32512.

2834 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#399×C127C211yesmaximal, characteristic, complemented
2C2×#388×C127C212yesmaximal, complemented
3C2×#379×C127C211yesmaximal, characteristic
4C2×#379×C127C212yesmaximal
5C127×#1440C212yesmaximal, complemented
6C127×#1440C212yesmaximal, complemented
7C127×#1439C212yesmaximal, complemented
8C127×#1439C212yesmaximal, complemented
9C127×#1437C211yesmaximal, characteristic, complemented
10C26×C127C2211yescharacteristic
11C22×C4⋊C4×C127C2212yescomplemented
12C22×C4⋊C4×C127C2211yescharacteristic, complemented
13C22×C22⋊C4×C127C2211yescharacteristic
14C22×C22⋊C4×C127C2212yes—
15C22×C22⋊C4×C127C2212yes—
16C22×C22⋊C4×C127C2212yes—
17C22×C22⋊C4×C127C2212yes—
18C22×C22⋊C4×C127C2212yes—
19C22×C22⋊C4×C127C2212yes—
20C22×C22⋊C4×C127C2212yes—
21C22×C22⋊C4×C127C2212yes—
22C22×C22⋊C4×C127C2211yescharacteristic
23C22×C42×C127C2211yescharacteristic, complemented
24#399×C127—24no—
25#388×C127—28no—
26#379×C127—28no—
27#379×C127—24no—
28C2×#95×C127C2211yescharacteristic, complemented
29C2×#95×C127C2212yescomplemented
30C2×#95×C127C2212yescomplemented
31C2×#95×C127C2211yescharacteristic, complemented
32C2×#95×C127C2212yescomplemented
33C2×#95×C127C2212yescomplemented
34C2×#95×C127C2212yescomplemented
35C25×C127—24no—
36C25×C127—22no—
37C25×C127—24no—
38C25×C127—24no—
39C25×C127—24no—
40C25×C127—41no—
41C25×C127—41no—
42C25×C127—42no—
43C25×C127—42no—
44C25×C127C2312yes—
45C25×C127C2311yescharacteristic
46C23×C4×C127C2312yes—
47C23×C4×C127C2312yes—
48C23×C4×C127C2312yes—
49C23×C4×C127C2311yescharacteristic
50C23×C4×C127C2312yes—
51C23×C4×C127C2312yes—
52C23×C4×C127C2311yescharacteristic
53C2×C4⋊C4×C127—24no—
54C2×C4⋊C4×C127—24no—
55C2×C4⋊C4×C127—22no—
56C2×C4⋊C4×C127—42no—
57C2×C4⋊C4×C127—41no—
58C2×C4⋊C4×C127—41no—
59C2×C22⋊C4×C127—24no—
60C2×C22⋊C4×C127—24no—
61C2×C22⋊C4×C127—24no—
62C2×C22⋊C4×C127—22no—
63C2×C22⋊C4×C127—24no—
64C2×C22⋊C4×C127—24no—
65C2×C22⋊C4×C127—24no—
66C2×C22⋊C4×C127—24no—
67C2×C22⋊C4×C127—24no—
68C2×C22⋊C4×C127—24no—
69C2×C22⋊C4×C127—24no—
70C2×C22⋊C4×C127—24no—
71C2×C22⋊C4×C127—24no—
72C2×C22⋊C4×C127—24no—
73C2×C22⋊C4×C127—24no—
74C2×C22⋊C4×C127—24no—
75C2×C22⋊C4×C127—24no—
76C2×C22⋊C4×C127—41no—
77C2×C22⋊C4×C127—41no—
78C2×C22⋊C4×C127—42no—
79C2×C22⋊C4×C127—42no—
80C2×C22⋊C4×C127—42no—
81C2×C22⋊C4×C127—42no—
82C2×C22⋊C4×C127—42no—
83C2×C22⋊C4×C127—42no—
84C2×C22⋊C4×C127—42no—
85C2×C22⋊C4×C127—42no—
86C2×C22⋊C4×C127D418yes—
87C2×C22⋊C4×C127D414yes—
88C2×C42×C127—24no—
89C2×C42×C127—41no—
90#95×C127—24no—
91#95×C127—24no—
92#95×C127—22no—
93#95×C127—42no—
94#95×C127—41no—
95#95×C127—42no—
96#95×C127—42no—
97C24×C127—22no—
98C24×C127—22no—
99C24×C127—22no—
100C24×C127—22no—
101C24×C127—22no—
102C24×C127—22no—
103C24×C127—22no—
104C24×C127—22no—
105C24×C127—22no—
106C24×C127—21no—
107C24×C127—21no—
108C24×C127—22no—
109C24×C127—22no—
110C24×C127—22no—
111C24×C127—22no—
112C24×C127—22no—
113C24×C127—22no—
114C24×C127—22no—
115C24×C127—22no—
116C24×C127—28no—
117C24×C127—216no—
118C24×C127—44no—
119C24×C127—48no—
120C24×C127—48no—
121C24×C127—48no—
122C24×C127—48no—
123C24×C127—48no—
124C24×C127—48no—
125C24×C127—48no—
126C24×C127—48no—
127C24×C127—44no—
128C24×C127—44no—
129C24×C127—48no—
130C24×C127—48no—
131C24×C127—48no—
132C24×C127—48no—
133C24×C127—44no—
134C24×C127—44no—
135C24×C127—48no—
136C24×C127—44no—
137C24×C127C2×D414yes—
138C24×C127C2×D412yes—
139C24×C127#4114yes—
140C24×C127#4114yes—
141C24×C127#4114yes—
142C24×C127C2411yescharacteristic
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—22no—
153C22×C4×C127—21no—
154C22×C4×C127—22no—
155C22×C4×C127—22no—
156C22×C4×C127—22no—
157C22×C4×C127—21no—
158C22×C4×C127—22no—
159C22×C4×C127—21no—
160C22×C4×C127—21no—
161C22×C4×C127—22no—
162C22×C4×C127—22no—
163C22×C4×C127—22no—
164C22×C4×C127—22no—
165C22×C4×C127—22no—
166C22×C4×C127—22no—
167C22×C4×C127—22no—
168C22×C4×C127—22no—
169C22×C4×C127—22no—
170C22×C4×C127—22no—
171C22×C4×C127—22no—
172C22×C4×C127—22no—
173C22×C4×C127—22no—
174C22×C4×C127—22no—
175C22×C4×C127—22no—
176C22×C4×C127—22no—
177C22×C4×C127—22no—
178C22×C4×C127—22no—
179C22×C4×C127—22no—
180C22×C4×C127—22no—
181C22×C4×C127—22no—
182C22×C4×C127—22no—
183C22×C4×C127—22no—
184C22×C4×C127C2×D414yes—
185C22×C4×C127C2×D414yes—
186C22×C4×C127C2×D412yes—
187C22×C4×C127C2×D412yes—
188C4⋊C4×C127—48no—
189C4⋊C4×C127—44no—
190C22⋊C4×C127—216no—
191C22⋊C4×C127—44no—
192C22⋊C4×C127—48no—
193C22⋊C4×C127—48no—
194C22⋊C4×C127—48no—
195C22⋊C4×C127—48no—
196C22⋊C4×C127—48no—
197C22⋊C4×C127—48no—
198C22⋊C4×C127—48no—
199C22⋊C4×C127—44no—
200C42×C127—44no—
201C23×C127—22no—
202C23×C127—24no—
203C23×C127—24no—
204C23×C127—24no—
205C23×C127—24no—
206C23×C127—22no—
207C23×C127—24no—
208C23×C127—24no—
209C23×C127—24no—
210C23×C127—24no—
211C23×C127—24no—
212C23×C127—24no—
213C23×C127—24no—
214C23×C127—24no—
215C23×C127—24no—
216C23×C127—24no—
217C23×C127—24no—
218C23×C127—24no—
219C23×C127—24no—
220C23×C127—24no—
221C23×C127—24no—
222C23×C127—24no—
223C23×C127—24no—
224C23×C127—24no—
225C23×C127—24no—
226C23×C127—24no—
227C23×C127—24no—
228C23×C127—24no—
229C23×C127—416no—
230C23×C127—432no—
231C23×C127—432no—
232C23×C127—432no—
233C23×C127—432no—
234C23×C127—416no—
235C23×C127—432no—
236C23×C127—416no—
237C23×C127—432no—
238C23×C127—42no—
239C23×C127—42no—
240C23×C127—42no—
241C23×C127—42no—
242C23×C127—42no—
243C23×C127—42no—
244C23×C127—42no—
245C23×C127—42no—
246C23×C127—42no—
247C23×C127—42no—
248C23×C127—42no—
249C23×C127—42no—
250C23×C127—41no—
251C23×C127—42no—
252C23×C127—42no—
253C23×C127—42no—
254C23×C127—42no—
255C23×C127—42no—
256C23×C127—42no—
257C23×C127—42no—
258C23×C127—41no—
259C23×C127—42no—
260C23×C127—41no—
261C23×C127—42no—
262C23×C127—42no—
263C23×C127—41no—
264C23×C127#12318yes—
265C23×C127#12414yes—
266C23×C127C22×D412yes—
267C23×C127C22×D411yescharacteristic
268C23×C127C2×#4112yes—
269C23×C127C2×#4112yes—
270C23×C127C2×#4112yes—
271C23×C127H(5,𝔽2)11yescharacteristic
272C23×C127H(5,𝔽2)11yescharacteristic
273C23×C127H(5,𝔽2)12yes—
274C23×C127H(5,𝔽2)12yes—
275C2×C4×C127—24no—
276C2×C4×C127—24no—
277C2×C4×C127—22no—
278C2×C4×C127—22no—
279C2×C4×C127—24no—
280C2×C4×C127—24no—
281C2×C4×C127—24no—
282C2×C4×C127—24no—
283C2×C4×C127—24no—
284C2×C4×C127—24no—
285C2×C4×C127—42no—
286C2×C4×C127—42no—
287C2×C4×C127—42no—
288C2×C4×C127—42no—
289C2×C4×C127—42no—
290C2×C4×C127—42no—
291C2×C4×C127—41no—
292C2×C4×C127—42no—
293C2×C4×C127—42no—
294C2×C4×C127—42no—
295C2×C4×C127—42no—
296C2×C4×C127—41no—
297C2×C4×C127—41no—
298C2×C4×C127—41no—
299C2×C4×C127—42no—
300C2×C4×C127—42no—
301C2×C4×C127—42no—
302C2×C4×C127—42no—
303C2×C4×C127—42no—
304C2×C4×C127—42no—
305C2×C4×C127—42no—
306C2×C4×C127—42no—
307C2×C4×C127—42no—
308C2×C4×C127—42no—
309C2×C4×C127—42no—
310C2×C4×C127—42no—
311C2×C4×C127—42no—
312C2×C4×C127—42no—
313C2×C4×C127—42no—
314C2×C4×C127—42no—
315C2×C4×C127—42no—
316C2×C4×C127—42no—
317C2×C4×C127—42no—
318C2×C4×C127—42no—
319C2×C4×C127—42no—
320C22×C127—24no—
321C22×C127—28no—
322C22×C127—28no—
323C22×C127—28no—
324C22×C127—28no—
325C22×C127—464no—
326C22×C127—44no—
327C22×C127—42no—
328C22×C127—44no—
329C22×C127—44no—
330C22×C127—44no—
331C22×C127—44no—
332C22×C127—44no—
333C22×C127—44no—
334C22×C127—44no—
335C22×C127—44no—
336C22×C127—42no—
337C22×C127—44no—
338C22×C127—44no—
339C22×C127—44no—
340C22×C127—44no—
341C22×C127—44no—
342C22×C127—44no—
343C22×C127—44no—
344C22×C127—44no—
345C22×C127C2×#12312yes—
346C22×C127#52511yescharacteristic
347C22×C127#52512yes—
348C22×C127C2×#12411yescharacteristic
349C22×C127#53411yescharacteristic
350C22×C127#53512yes—
351C22×C127#53812yes—
352C22×C127#53812yes—
353C22×C127#53812yes—
354C22×C127D4211yescharacteristic
355C22×C127D4212yes—
356C22×C127#54612yes—
357C22×C127#54612yes—
358C22×C127#54612yes—
359C22×C127#55112yes—
360C22×C127#55112yes—
361C22×C127#55112yes—
362C22×C127#55111yescharacteristic
363C22×C127#55112yes—
364C22×C127#56011yescharacteristic
365C22×C127#56011yescharacteristic
366C4×C127—42no—
367C4×C127—44no—
368C4×C127—44no—
369C4×C127—42no—
370C4×C127—82no—
371C4×C127—82no—
372C4×C127—82no—
373#15284C12711yesmaximal, characteristic, direct product factor, Sylow
374C2×C127—44no—
375C2×C127—48no—
376C2×C127#241812yes—
377C2×C127#241812yes—
378C2×C127#247212yes—
379C2×C127#248212yes—
380C2×C127#256111yescharacteristic
381C2×C127#266911yescharacteristic
382C2×C127#268512yes—
383C2×C127#269711yescharacteristic
384C2×C127#273512yes—
385C2×#399C2×C12711yescharacteristic, complemented
386C2×#388C2×C12712yescomplemented
387C2×#379C2×C12711yescharacteristic
388C2×#379C2×C12712yes—
389#1440C2×C12712yescomplemented
390#1440C2×C12712yescomplemented
391#1439C2×C12712yescomplemented
392#1439C2×C12712yescomplemented
393#1437C2×C12711yescharacteristic, complemented
394C127#1528411yescharacteristic, direct product factor, Sylow
395C26C22×C12711yescharacteristic
396C22×C4⋊C4C22×C12712yescomplemented
397C22×C4⋊C4C22×C12711yescharacteristic, complemented
398C22×C22⋊C4C22×C12711yescharacteristic
399C22×C22⋊C4C22×C12712yes—
400C22×C22⋊C4C22×C12712yes—
401C22×C22⋊C4C22×C12712yes—
402C22×C22⋊C4C22×C12712yes—
403C22×C22⋊C4C22×C12712yes—
404C22×C22⋊C4C22×C12712yes—
405C22×C22⋊C4C22×C12712yes—
406C22×C22⋊C4C22×C12712yes—
407C22×C22⋊C4C22×C12711yescharacteristic
408C22×C42C22×C12711yescharacteristic, complemented
409#399—24no—
410#388—28no—
411#379—28no—
412#379—24no—
413C2×#95C22×C12711yescharacteristic, complemented
414C2×#95C22×C12712yescomplemented
415C2×#95C22×C12712yescomplemented
416C2×#95C22×C12711yescharacteristic, complemented
417C2×#95C22×C12712yescomplemented
418C2×#95C22×C12712yescomplemented
419C2×#95C22×C12712yescomplemented
420C25—24no—
421C25—22no—
422C25—24no—
423C25—24no—
424C25—24no—
425C25—41no—
426C25—41no—
427C25—42no—
428C25—42no—
429C25C23×C12712yes—
430C25C23×C12711yescharacteristic
431C23×C4C23×C12712yes—
432C23×C4C23×C12712yes—
433C23×C4C23×C12712yes—
434C23×C4C23×C12711yescharacteristic
435C23×C4C23×C12712yes—
436C23×C4C23×C12711yescharacteristic
437C23×C4C23×C12712yes—
438C2×C4⋊C4—24no—
439C2×C4⋊C4—24no—
440C2×C4⋊C4—22no—
441C2×C4⋊C4—42no—
442C2×C4⋊C4—41no—
443C2×C4⋊C4—41no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—24no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—41no—
462C2×C22⋊C4—41no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—42no—
465C2×C22⋊C4—42no—
466C2×C22⋊C4—42no—
467C2×C22⋊C4—42no—
468C2×C22⋊C4—42no—
469C2×C22⋊C4—42no—
470C2×C22⋊C4—42no—
471C2×C22⋊C4D4×C12718yes—
472C2×C22⋊C4D4×C12714yes—
473C2×C42—24no—
474C2×C42—41no—
475#95—24no—
476#95—24no—
477#95—22no—
478#95—42no—
479#95—41no—
480#95—42no—
481#95—42no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—216no—
502C24—28no—
503C24—44no—
504C24—48no—
505C24—48no—
506C24—48no—
507C24—48no—
508C24—48no—
509C24—48no—
510C24—48no—
511C24—48no—
512C24—44no—
513C24—44no—
514C24—48no—
515C24—48no—
516C24—48no—
517C24—48no—
518C24—44no—
519C24—44no—
520C24—48no—
521C24—44no—
522C24C2×D4×C12714yes—
523C24C2×D4×C12712yes—
524C24#41×C12714yes—
525C24#41×C12714yes—
526C24#41×C12714yes—
527C24C24×C12711yescharacteristic
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4C2×D4×C12714yes—
570C22×C4C2×D4×C12714yes—
571C22×C4C2×D4×C12712yes—
572C22×C4C2×D4×C12712yes—
573C4⋊C4—48no—
574C4⋊C4—44no—
575C22⋊C4—216no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C42—44no—
586C23—24no—
587C23—22no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—24no—
610C23—24no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—432no—
615C23—432no—
616C23—432no—
617C23—432no—
618C23—416no—
619C23—416no—
620C23—432no—
621C23—416no—
622C23—432no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—41no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—41no—
644C23—42no—
645C23—41no—
646C23—42no—
647C23—42no—
648C23—41no—
649C23#123×C12718yes—
650C23#124×C12714yes—
651C23C22×D4×C12712yes—
652C23C22×D4×C12711yescharacteristic
653C23C2×#41×C12712yes—
654C23C2×#41×C12712yes—
655C23C2×#41×C12712yes—
656C23H(5,𝔽2)×C12711yescharacteristic
657C23H(5,𝔽2)×C12711yescharacteristic
658C23H(5,𝔽2)×C12712yes—
659C23H(5,𝔽2)×C12712yes—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C22—28no—
706C22—28no—
707C22—28no—
708C22—28no—
709C22—24no—
710C22—464no—
711C22—42no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22C2×#123×C12712yes—
731C22#525×C12711yescharacteristic
732C22#525×C12712yes—
733C22C2×#124×C12711yescharacteristic
734C22#534×C12711yescharacteristic
735C22#535×C12712yes—
736C22#538×C12712yes—
737C22#538×C12712yes—
738C22#538×C12712yes—
739C22D42×C12711yescharacteristic
740C22D42×C12712yes—
741C22#546×C12712yes—
742C22#546×C12712yes—
743C22#546×C12712yes—
744C22#551×C12712yes—
745C22#551×C12712yes—
746C22#551×C12712yes—
747C22#551×C12711yescharacteristic
748C22#551×C12712yes—
749C22#560×C12711yescharacteristic
750C22#560×C12711yescharacteristic
751C4—42no—
752C4—44no—
753C4—44no—
754C4—42no—
755C4—82no—
756C4—82no—
757C4—82no—
758C2—48no—
759C2—44no—
760C2C127×#241812yes—
761C2C127×#241812yes—
762C2C127×#247212yes—
763C2C127×#248212yes—
764C2C127×#256111yescharacteristic
765C2C127×#266911yescharacteristic
766C2C127×#268512yes—
767C2C127×#269711yescharacteristic
768C2C127×#273512yes—
subgroupG/H
center, socleC24×C127C24
commutator, Frattini, cosocleC24C24×C127
prime radicalC26×C127C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C127 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#399×C127C2semidirect
2. C2×#388×C127C2semidirect
5. C127×#1440C2semidirect
6. C127×#1440C2semidirect
7. C127×#1439C2semidirect
8. C127×#1439C2semidirect
9. C127×#1437C2semidirect
11. C22×C4⋊C4×C127C22semidirect
12. C22×C4⋊C4×C127C22semidirect
23. C22×C42×C127C22semidirect
28. C2×#95×C127C22semidirect
29. C2×#95×C127C22semidirect
30. C2×#95×C127C22semidirect
31. C2×#95×C127C22semidirect
32. C2×#95×C127C22semidirect
33. C2×#95×C127C22semidirect
34. C2×#95×C127C22semidirect
373. #15284C127direct (N × H)
385. C2×#399C2×C127semidirect
386. C2×#388C2×C127semidirect
389. #1440C2×C127semidirect
390. #1440C2×C127semidirect
391. #1439C2×C127semidirect
392. #1439C2×C127semidirect
393. #1437C2×C127semidirect
394. C127#15284direct (N × H)
396. C22×C4⋊C4C22×C127semidirect
397. C22×C4⋊C4C22×C127semidirect
408. C22×C42C22×C127semidirect
413. C2×#95C22×C127semidirect
414. C2×#95C22×C127semidirect
415. C2×#95C22×C127semidirect
416. C2×#95C22×C127semidirect
417. C2×#95C22×C127semidirect
418. C2×#95C22×C127semidirect
419. C2×#95C22×C127semidirect

Maximal subgroups

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

subgroupindex
C2×#399×C1272
C2×#388×C1272
C2×#379×C1272
C127×#14402
C127×#14392
C127×#14372
#15284127