Finite Group Databasebeta

← C139×#24056 #48018652

Subgroups — C139×#24056 #48018652

Order 35584.

1820 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3484×C139C211yesmaximal, characteristic
2#2849×C139C212yesmaximal, complemented
3C2×#386×C139C211yesmaximal, characteristic, complemented
4#2044×C139C214yesmaximal, complemented
5#1898×C139C212yesmaximal, complemented
6#1867×C139C212yesmaximal, complemented
7#1790×C139C212yesmaximal, complemented
8#1781×C139C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C139C2211yescharacteristic
10C23×D4×C139C2211yescharacteristic
11C24×C4×C139C2211yescharacteristic, complemented
12#546×C139—22no—
13#546×C139—22no—
14D42×C139—22no—
15D42×C139—22no—
16#535×C139—21no—
17#534×C139—21no—
18#534×C139C2212yes—
19#525×C139—21no—
20C2×#123×C139—22no—
21C2×#120×C139—21no—
22C2×#120×C139C2212yes—
23#518×C139C2211yescharacteristic
24C22×C22⋊C4×C139—21no—
25C22×C22⋊C4×C139C2211yescharacteristic, complemented
26C2×#99×C139C2212yes—
27C2×#99×C139C2212yescomplemented
28C2×#99×C139C2214yescomplemented
29#386×C139—21no—
30#386×C139—21no—
31#386×C139—22no—
32#386×C139C2212yes—
33#386×C139C2212yescomplemented
34#386×C139C2214yescomplemented
35#385×C139—22no—
36#385×C139C2214yescomplemented
37#381×C139—22no—
38#379×C139C2212yescomplemented
39C2×#95×C139—21no—
40#342×C139C2214yescomplemented
41C25×C139D411yescharacteristic
42C25×C139C2311yescharacteristic
43H(5,𝔽2)×C139—24no—
44H(5,𝔽2)×C139—42no—
45C2×#41×C139—21no—
46C2×#41×C139—22no—
47C22×D4×C139—21no—
48C22×D4×C139—22no—
49C22×D4×C139—22no—
50C22×D4×C139—22no—
51C22×D4×C139—21no—
52C22×D4×C139—21no—
53C22×D4×C139—24no—
54C22×D4×C139—42no—
55C22×D4×C139D411yescharacteristic
56C22×D4×C139D411yescharacteristic
57C22×D4×C139D412yes—
58C22×D4×C139D412yes—
59C22×D4×C139C2312yes—
60C22×D4×C139C2311yescharacteristic
61C22×D4×C139C2311yescharacteristic
62C23×C4×C139—21no—
63C23×C4×C139—22no—
64C23×C4×C139—21no—
65C23×C4×C139—22no—
66C23×C4×C139—21no—
67C23×C4×C139—44no—
68C23×C4×C139D411yescharacteristic
69C23×C4×C139C2312yes—
70#127×C139—22no—
71#124×C139—22no—
72#123×C139—22no—
73#123×C139—22no—
74#123×C139—22no—
75#123×C139—48no—
76C22⋊Q8×C139—21no—
77C22⋊Q8×C139—21no—
78#121×C139—21no—
79#121×C139—21no—
80#121×C139—22no—
81#121×C139—22no—
82#121×C139—22no—
83#121×C139—22no—
84#121×C139—22no—
85#121×C139—22no—
86#120×C139—22no—
87#120×C139—22no—
88#120×C139—22no—
89#120×C139—22no—
90#120×C139—22no—
91#120×C139—22no—
92#120×C139—22no—
93#120×C139—22no—
94#120×C139—22no—
95C4×D4×C139—22no—
96C4×D4×C139—22no—
97C4×D4×C139—22no—
98C4×D4×C139—22no—
99#117×C139—21no—
100C2×C4⋊C4×C139—24no—
101C2×C22⋊C4×C139—21no—
102C2×C22⋊C4×C139—21no—
103C2×C22⋊C4×C139—21no—
104C2×C22⋊C4×C139—22no—
105C2×C22⋊C4×C139—22no—
106C2×C22⋊C4×C139—21no—
107C2×C22⋊C4×C139—22no—
108C2×C22⋊C4×C139—24no—
109C2×C22⋊C4×C139—22no—
110C2×C22⋊C4×C139—42no—
111C2×C22⋊C4×C139—44no—
112C2×C22⋊C4×C139D412yes—
113C2×C22⋊C4×C139D412yes—
114C2×C22⋊C4×C139C2314yes—
115C2×C22⋊C4×C139C2312yes—
116C2×C22⋊C4×C139C2312yes—
117#99×C139—24no—
118#99×C139—42no—
119#99×C139—44no—
120#95×C139—22no—
121#95×C139—22no—
122#95×C139—24no—
123#95×C139—24no—
124C24×C139—22no—
125C24×C139—22no—
126C24×C139—21no—
127C24×C139—22no—
128C24×C139—21no—
129C24×C139—21no—
130C24×C139—42no—
131C24×C139—42no—
132C24×C139—41no—
133C24×C139—42no—
134C24×C139—42no—
135C24×C139C2×D411yescharacteristic
136C24×C139C2×D412yes—
137C24×C139C2×D412yes—
138C24×C139C2×D411yescharacteristic
139C24×C139C2×D412yes—
140C24×C139C2×D411yescharacteristic
141C24×C139C2×D411yescharacteristic
142C24×C139C2411yescharacteristic
143#41×C139—48no—
144#41×C139—42no—
145#41×C139—42no—
146C2×Q8×C139—21no—
147C2×D4×C139—22no—
148C2×D4×C139—22no—
149C2×D4×C139—22no—
150C2×D4×C139—21no—
151C2×D4×C139—22no—
152C2×D4×C139—22no—
153C2×D4×C139—22no—
154C2×D4×C139—22no—
155C2×D4×C139—22no—
156C2×D4×C139—22no—
157C2×D4×C139—22no—
158C2×D4×C139—22no—
159C2×D4×C139—22no—
160C2×D4×C139—24no—
161C2×D4×C139—22no—
162C2×D4×C139—24no—
163C2×D4×C139—22no—
164C2×D4×C139—22no—
165C2×D4×C139—22no—
166C2×D4×C139—22no—
167C2×D4×C139—22no—
168C2×D4×C139—41no—
169C2×D4×C139—41no—
170C2×D4×C139—48no—
171C2×D4×C139—48no—
172C2×D4×C139—48no—
173C2×D4×C139—42no—
174C2×D4×C139—42no—
175C2×D4×C139—44no—
176C2×D4×C139—44no—
177C2×D4×C139—82no—
178C2×D4×C139—82no—
179C2×D4×C139#4114yes—
180C22×C4×C139—21no—
181C22×C4×C139—24no—
182C22×C4×C139—22no—
183C22×C4×C139—28no—
184C22×C4×C139—21no—
185C22×C4×C139—21no—
186C22×C4×C139—22no—
187C22×C4×C139—24no—
188C22×C4×C139—21no—
189C22×C4×C139—21no—
190C22×C4×C139—22no—
191C22×C4×C139—24no—
192C22×C4×C139—22no—
193C22×C4×C139—44no—
194C22×C4×C139—41no—
195C22×C4×C139—44no—
196C22×C4×C139—48no—
197C22×C4×C139—42no—
198C22×C4×C139—44no—
199C22×C4×C139—42no—
200C22×C4×C139—41no—
201C22×C4×C139—41no—
202C22×C4×C139—42no—
203C22×C4×C139—42no—
204C22×C4×C139—42no—
205C22×C4×C139C2×D412yes—
206C22×C4×C139C2×D411yescharacteristic
207C22×C4×C139C2×D411yescharacteristic
208C22×C4×C139C2×D412yes—
209C22×C4×C139C2×D412yes—
210C4⋊C4×C139—21no—
211C4⋊C4×C139—21no—
212C4⋊C4×C139—22no—
213C4⋊C4×C139—22no—
214C4⋊C4×C139—48no—
215C22⋊C4×C139—22no—
216C22⋊C4×C139—22no—
217C22⋊C4×C139—22no—
218C22⋊C4×C139—22no—
219C22⋊C4×C139—22no—
220C22⋊C4×C139—22no—
221C22⋊C4×C139—22no—
222C22⋊C4×C139—22no—
223C22⋊C4×C139—22no—
224C22⋊C4×C139—22no—
225C22⋊C4×C139—22no—
226C22⋊C4×C139—24no—
227C22⋊C4×C139—24no—
228C22⋊C4×C139—24no—
229C22⋊C4×C139—44no—
230C22⋊C4×C139—44no—
231C22⋊C4×C139—48no—
232C22⋊C4×C139—44no—
233C22⋊C4×C139—42no—
234C22⋊C4×C139—44no—
235C42×C139—22no—
236C23×C139—21no—
237C23×C139—21no—
238C23×C139—22no—
239C23×C139—22no—
240C23×C139—21no—
241C23×C139—21no—
242C23×C139—21no—
243C23×C139—24no—
244C23×C139—24no—
245C23×C139—24no—
246C23×C139—24no—
247C23×C139—21no—
248C23×C139—21no—
249C23×C139—22no—
250C23×C139—21no—
251C23×C139—21no—
252C23×C139—24no—
253C23×C139—42no—
254C23×C139—41no—
255C23×C139—41no—
256C23×C139—42no—
257C23×C139—41no—
258C23×C139—41no—
259C23×C139—42no—
260C23×C139—42no—
261C23×C139—48no—
262C23×C139—48no—
263C23×C139—41no—
264C23×C139—41no—
265C23×C139—41no—
266C23×C139—41no—
267C23×C139—48no—
268C23×C139—42no—
269C23×C139—42no—
270C23×C139—42no—
271C23×C139—42no—
272C23×C139—42no—
273C23×C139—81no—
274C23×C139—81no—
275C23×C139—84no—
276C23×C139—81no—
277C23×C139—81no—
278C23×C139#12012yes—
279C23×C139#12011yescharacteristic
280C23×C139#12011yescharacteristic
281C23×C139#12312yescomplemented
282C23×C139C22×D411yescharacteristic
283C23×C139C22×D412yes—
284C23×C139C2×#4112yes—
285C23×C139H(5,𝔽2)12yes—
286Q8×C139—42no—
287D4×C139—28no—
288D4×C139—44no—
289D4×C139—42no—
290D4×C139—44no—
291D4×C139—44no—
292D4×C139—42no—
293D4×C139—42no—
294D4×C139—44no—
295D4×C139—44no—
296D4×C139—44no—
297D4×C139—44no—
298D4×C139—82no—
299D4×C139—82no—
300D4×C139—82no—
301D4×C139—82no—
302C2×C4×C139—21no—
303C2×C4×C139—21no—
304C2×C4×C139—24no—
305C2×C4×C139—28no—
306C2×C4×C139—22no—
307C2×C4×C139—22no—
308C2×C4×C139—22no—
309C2×C4×C139—21no—
310C2×C4×C139—21no—
311C2×C4×C139—21no—
312C2×C4×C139—24no—
313C2×C4×C139—42no—
314C2×C4×C139—42no—
315C2×C4×C139—44no—
316C2×C4×C139—44no—
317C2×C4×C139—42no—
318C2×C4×C139—44no—
319C2×C4×C139—48no—
320C2×C4×C139—42no—
321C2×C4×C139—42no—
322C2×C4×C139—44no—
323C2×C4×C139—42no—
324C2×C4×C139—42no—
325C2×C4×C139—44no—
326C2×C4×C139—42no—
327C2×C4×C139—44no—
328C2×C4×C139—42no—
329C2×C4×C139—42no—
330C2×C4×C139—44no—
331C2×C4×C139—81no—
332C2×C4×C139—81no—
333C2×C4×C139—84no—
334C2×C4×C139#12312yescomplemented
335C22×C139—24no—
336C22×C139—24no—
337C22×C139—21no—
338C22×C139—21no—
339C22×C139—22no—
340C22×C139—21no—
341C22×C139—21no—
342C22×C139—22no—
343C22×C139—21no—
344C22×C139—21no—
345C22×C139—22no—
346C22×C139—22no—
347C22×C139—22no—
348C22×C139—22no—
349C22×C139—42no—
350C22×C139—42no—
351C22×C139—48no—
352C22×C139—48no—
353C22×C139—42no—
354C22×C139—42no—
355C22×C139—42no—
356C22×C139—42no—
357C22×C139—41no—
358C22×C139—41no—
359C22×C139—42no—
360C22×C139—41no—
361C22×C139—42no—
362C22×C139—41no—
363C22×C139—42no—
364C22×C139—41no—
365C22×C139—81no—
366C22×C139—84no—
367C22×C139—84no—
368C22×C139—84no—
369C22×C139—81no—
370C22×C139—162no—
371C22×C139B(4,𝔽2)12yes—
372C22×C139#45812yes—
373C22×C139C2×#12011yescharacteristic
374C22×C139C2×#12311yescharacteristic
375C22×C139#53411yescharacteristic
376C22×C139#54614yes—
377C4×C139—22no—
378C4×C139—41no—
379C4×C139—42no—
380C4×C139—44no—
381C4×C139—42no—
382C4×C139—42no—
383C4×C139—84no—
384C4×C139—82no—
385C2×C139—21no—
386C2×C139—24no—
387C2×C139—21no—
388C2×C139—22no—
389C2×C139—22no—
390C2×C139—42no—
391C2×C139—42no—
392C2×C139—81no—
393C2×C139—82no—
394C2×C139#240511yescharacteristic
395C2×C139C2×B(4,𝔽2)11yescharacteristic
396C2×C139C2×#45811yescharacteristic
397#24056C13911yesmaximal, characteristic, direct product factor, Sylow
398C139#2405611yescharacteristic, direct product factor, Sylow
399#3484C2×C13911yescharacteristic
400#2849C2×C13912yescomplemented
401C2×#386C2×C13911yescharacteristic, complemented
402#2044C2×C13914yescomplemented
403#1898C2×C13912yescomplemented
404#1867C2×C13912yescomplemented
405#1790C2×C13912yescomplemented
406#1781C2×C13911yescharacteristic, complemented
407C2×H(5,𝔽2)C22×C13911yescharacteristic
408C23×D4C22×C13911yescharacteristic
409C24×C4C22×C13911yescharacteristic, complemented
410#546—22no—
411#546—22no—
412D42—22no—
413D42—22no—
414#535—21no—
415#534—21no—
416#534C22×C13912yes—
417#525—21no—
418C2×#123—22no—
419C2×#120—21no—
420C2×#120C22×C13912yes—
421#518C22×C13911yescharacteristic
422C22×C22⋊C4—21no—
423C22×C22⋊C4C22×C13911yescharacteristic, complemented
424C2×#99C22×C13912yes—
425C2×#99C22×C13914yescomplemented
426C2×#99C22×C13912yescomplemented
427#386—22no—
428#386—21no—
429#386—21no—
430#386C22×C13912yes—
431#386C22×C13914yescomplemented
432#386C22×C13912yescomplemented
433#385—22no—
434#385C22×C13914yescomplemented
435#381—22no—
436#379C22×C13912yescomplemented
437C2×#95—21no—
438#342C22×C13914yescomplemented
439C25D4×C13911yescharacteristic
440C25C23×C13911yescharacteristic
441H(5,𝔽2)—24no—
442H(5,𝔽2)—42no—
443C2×#41—21no—
444C2×#41—22no—
445C22×D4—21no—
446C22×D4—22no—
447C22×D4—22no—
448C22×D4—22no—
449C22×D4—21no—
450C22×D4—21no—
451C22×D4—24no—
452C22×D4—42no—
453C22×D4D4×C13911yescharacteristic
454C22×D4D4×C13911yescharacteristic
455C22×D4D4×C13912yes—
456C22×D4D4×C13912yes—
457C22×D4C23×C13912yes—
458C22×D4C23×C13911yescharacteristic
459C22×D4C23×C13911yescharacteristic
460C23×C4—21no—
461C23×C4—22no—
462C23×C4—21no—
463C23×C4—22no—
464C23×C4—21no—
465C23×C4—44no—
466C23×C4D4×C13911yescharacteristic
467C23×C4C23×C13912yes—
468#127—22no—
469#124—22no—
470#123—22no—
471#123—22no—
472#123—22no—
473#123—48no—
474C22⋊Q8—21no—
475C22⋊Q8—21no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—22no—
481#121—22no—
482#121—22no—
483#121—22no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—22no—
488#120—22no—
489#120—22no—
490#120—22no—
491#120—22no—
492#120—22no—
493C4×D4—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—22no—
497#117—21no—
498C2×C4⋊C4—24no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—21no—
501C2×C22⋊C4—21no—
502C2×C22⋊C4—22no—
503C2×C22⋊C4—22no—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—22no—
506C2×C22⋊C4—24no—
507C2×C22⋊C4—22no—
508C2×C22⋊C4—42no—
509C2×C22⋊C4—44no—
510C2×C22⋊C4D4×C13912yes—
511C2×C22⋊C4D4×C13912yes—
512C2×C22⋊C4C23×C13912yes—
513C2×C22⋊C4C23×C13914yes—
514C2×C22⋊C4C23×C13912yes—
515#99—24no—
516#99—42no—
517#99—44no—
518#95—22no—
519#95—22no—
520#95—24no—
521#95—24no—
522C24—22no—
523C24—22no—
524C24—21no—
525C24—22no—
526C24—21no—
527C24—21no—
528C24—42no—
529C24—42no—
530C24—41no—
531C24—42no—
532C24—42no—
533C24C2×D4×C13911yescharacteristic
534C24C2×D4×C13912yes—
535C24C2×D4×C13912yes—
536C24C2×D4×C13911yescharacteristic
537C24C2×D4×C13912yes—
538C24C2×D4×C13911yescharacteristic
539C24C2×D4×C13911yescharacteristic
540C24C24×C13911yescharacteristic
541#41—48no—
542#41—42no—
543#41—42no—
544C2×Q8—21no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—24no—
559C2×D4—22no—
560C2×D4—24no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—41no—
567C2×D4—41no—
568C2×D4—48no—
569C2×D4—48no—
570C2×D4—48no—
571C2×D4—42no—
572C2×D4—42no—
573C2×D4—44no—
574C2×D4—44no—
575C2×D4—82no—
576C2×D4—82no—
577C2×D4#41×C13914yes—
578C22×C4—21no—
579C22×C4—24no—
580C22×C4—22no—
581C22×C4—28no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—22no—
585C22×C4—24no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—22no—
589C22×C4—24no—
590C22×C4—22no—
591C22×C4—44no—
592C22×C4—41no—
593C22×C4—44no—
594C22×C4—48no—
595C22×C4—42no—
596C22×C4—44no—
597C22×C4—42no—
598C22×C4—41no—
599C22×C4—41no—
600C22×C4—42no—
601C22×C4—42no—
602C22×C4—42no—
603C22×C4C2×D4×C13912yes—
604C22×C4C2×D4×C13911yescharacteristic
605C22×C4C2×D4×C13911yescharacteristic
606C22×C4C2×D4×C13912yes—
607C22×C4C2×D4×C13912yes—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—48no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—24no—
625C22⋊C4—24no—
626C22⋊C4—24no—
627C22⋊C4—44no—
628C22⋊C4—44no—
629C22⋊C4—48no—
630C22⋊C4—44no—
631C22⋊C4—42no—
632C22⋊C4—44no—
633C42—22no—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—21no—
638C23—24no—
639C23—24no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—24no—
644C23—24no—
645C23—21no—
646C23—21no—
647C23—22no—
648C23—21no—
649C23—21no—
650C23—24no—
651C23—42no—
652C23—41no—
653C23—41no—
654C23—42no—
655C23—41no—
656C23—41no—
657C23—42no—
658C23—42no—
659C23—48no—
660C23—48no—
661C23—41no—
662C23—41no—
663C23—41no—
664C23—41no—
665C23—48no—
666C23—42no—
667C23—42no—
668C23—42no—
669C23—42no—
670C23—42no—
671C23—81no—
672C23—81no—
673C23—84no—
674C23—81no—
675C23—81no—
676C23#120×C13912yes—
677C23#120×C13911yescharacteristic
678C23#120×C13911yescharacteristic
679C23#123×C13912yescomplemented
680C23C22×D4×C13911yescharacteristic
681C23C22×D4×C13912yes—
682C23C2×#41×C13912yes—
683C23H(5,𝔽2)×C13912yes—
684Q8—42no—
685D4—28no—
686D4—44no—
687D4—42no—
688D4—44no—
689D4—44no—
690D4—44no—
691D4—44no—
692D4—42no—
693D4—42no—
694D4—44no—
695D4—44no—
696D4—82no—
697D4—82no—
698D4—82no—
699D4—82no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—24no—
703C2×C4—28no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—22no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—24no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—48no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—44no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—44no—
729C2×C4—81no—
730C2×C4—81no—
731C2×C4—84no—
732C2×C4#123×C13912yescomplemented
733C22—24no—
734C22—24no—
735C22—22no—
736C22—21no—
737C22—21no—
738C22—22no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—42no—
748C22—42no—
749C22—48no—
750C22—48no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—41no—
756C22—41no—
757C22—42no—
758C22—41no—
759C22—42no—
760C22—41no—
761C22—42no—
762C22—41no—
763C22—81no—
764C22—84no—
765C22—84no—
766C22—81no—
767C22—84no—
768C22—162no—
769C22B(4,𝔽2)×C13912yes—
770C22#458×C13912yes—
771C22C2×#120×C13911yescharacteristic
772C22C2×#123×C13911yescharacteristic
773C22#534×C13911yescharacteristic
774C22#546×C13914yes—
775C4—22no—
776C4—44no—
777C4—42no—
778C4—42no—
779C4—41no—
780C4—42no—
781C4—82no—
782C4—84no—
783C2—21no—
784C2—24no—
785C2—21no—
786C2—22no—
787C2—22no—
788C2—42no—
789C2—42no—
790C2—81no—
791C2—82no—
792C2#2405×C13911yescharacteristic
793C2C2×B(4,𝔽2)×C13911yescharacteristic
794C2C2×#458×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC24C24×C139
prime radical#3484×C139C2
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C25×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2849×C139C2semidirect
3. C2×#386×C139C2semidirect
4. #2044×C139C2semidirect
5. #1898×C139C2semidirect
6. #1867×C139C2semidirect
7. #1790×C139C2semidirect
8. #1781×C139C2semidirect
11. C24×C4×C139C22semidirect
25. C22×C22⋊C4×C139C22semidirect
27. C2×#99×C139C22semidirect
28. C2×#99×C139C22semidirect
33. #386×C139C22semidirect
34. #386×C139C22semidirect
36. #385×C139C22semidirect
38. #379×C139C22semidirect
40. #342×C139C22semidirect
281. C23×C139#123semidirect
334. C2×C4×C139#123semidirect
397. #24056C139direct (N × H)
398. C139#24056direct (N × H)
400. #2849C2×C139semidirect
401. C2×#386C2×C139semidirect
402. #2044C2×C139semidirect
403. #1898C2×C139semidirect
404. #1867C2×C139semidirect
405. #1790C2×C139semidirect
406. #1781C2×C139semidirect
409. C24×C4C22×C139semidirect
423. C22×C22⋊C4C22×C139semidirect
425. C2×#99C22×C139semidirect
426. C2×#99C22×C139semidirect
431. #386C22×C139semidirect
432. #386C22×C139semidirect
434. #385C22×C139semidirect
436. #379C22×C139semidirect
438. #342C22×C139semidirect
679. C23#123×C139semidirect
732. C2×C4#123×C139semidirect

Maximal subgroups

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

subgroupindex
#3484×C1392
#2849×C1392
C2×#386×C1392
#2044×C1392
#1898×C1392
#1867×C1392
#1790×C1392
#1781×C1392
#24056139