Finite Group Databasebeta

← C139×#23900 #48018496

Subgroups — C139×#23900 #48018496

Order 35584.

3520 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3484×C139C211yesmaximal, characteristic, complemented
2C22×#120×C139C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C139C212yesmaximal, complemented
4#2846×C139C212yesmaximal, complemented
5#2021×C139C214yesmaximal, complemented
6#1898×C139C212yesmaximal, complemented
7#1889×C139C212yesmaximal, complemented
8#1781×C139C211yesmaximal, characteristic, complemented
9C26×C139C2211yescharacteristic, complemented
10C2×H(5,𝔽2)×C139C2211yescharacteristic, complemented
11C23×D4×C139—21no—
12C23×D4×C139C2211yescharacteristic
13#546×C139—24no—
14D42×C139—24no—
15#535×C139—21no—
16#534×C139—21no—
17#534×C139C2212yescomplemented
18#525×C139—21no—
19C2×#120×C139—21no—
20C2×#120×C139—21no—
21C2×#120×C139—21no—
22C2×#120×C139—28no—
23C2×#120×C139—24no—
24C2×#120×C139C2212yes—
25C2×#120×C139C2212yes—
26C2×#120×C139C2212yescomplemented
27C2×#120×C139C2214yescomplemented
28#518×C139C2211yescharacteristic, complemented
29C22×C22⋊C4×C139—21no—
30C22×C22⋊C4×C139C2211yescharacteristic, complemented
31B(4,𝔽2)×C139—28no—
32C2×#99×C139C2214yescomplemented
33C2×#99×C139C2212yescomplemented
34C2×#99×C139C2212yescomplemented
35#379×C139—24no—
36#379×C139C2214yescomplemented
37#379×C139C2212yescomplemented
38#342×C139C2214yescomplemented
39C25×C139—21no—
40C25×C139—21no—
41C25×C139—24no—
42C25×C139—24no—
43C25×C139—48no—
44C25×C139—42no—
45C25×C139D411yescharacteristic, complemented
46C25×C139C2312yes—
47C25×C139C2311yescharacteristic
48H(5,𝔽2)×C139—24no—
49H(5,𝔽2)×C139—42no—
50C2×#41×C139—21no—
51C2×#41×C139—22no—
52C22×D4×C139—28no—
53C22×D4×C139—22no—
54C22×D4×C139—22no—
55C22×D4×C139—21no—
56C22×D4×C139—24no—
57C22×D4×C139—22no—
58C22×D4×C139—22no—
59C22×D4×C139—24no—
60C22×D4×C139—24no—
61C22×D4×C139—42no—
62C22×D4×C139—48no—
63C22×D4×C139D411yescharacteristic, complemented
64C22×D4×C139D411yescharacteristic, complemented
65C22×D4×C139D414yescomplemented
66C22×D4×C139C2311yescharacteristic
67C22×D4×C139C2311yescharacteristic
68C22×D4×C139C2312yes—
69C23×C4×C139—21no—
70C23×C4×C139D411yescharacteristic, complemented
71#127×C139—22no—
72#124×C139—22no—
73#123×C139—22no—
74#123×C139—22no—
75#123×C139—22no—
76C22⋊Q8×C139—22no—
77#121×C139—22no—
78#121×C139—24no—
79#121×C139—24no—
80#121×C139—24no—
81#120×C139—28no—
82#120×C139—28no—
83#120×C139—24no—
84#120×C139—22no—
85#120×C139—22no—
86#120×C139—22no—
87#120×C139—22no—
88#120×C139—24no—
89#120×C139—24no—
90#120×C139—22no—
91#120×C139—24no—
92#120×C139—24no—
93#120×C139—28no—
94#120×C139—44no—
95#120×C139—416no—
96#120×C139D418yescomplemented
97C4×D4×C139—24no—
98C4×D4×C139—24no—
99#117×C139—21no—
100C2×C22⋊C4×C139—28no—
101C2×C22⋊C4×C139—22no—
102C2×C22⋊C4×C139—21no—
103C2×C22⋊C4×C139—21no—
104C2×C22⋊C4×C139—22no—
105C2×C22⋊C4×C139—22no—
106C2×C22⋊C4×C139—24no—
107C2×C22⋊C4×C139—24no—
108C2×C22⋊C4×C139—28no—
109C2×C22⋊C4×C139—24no—
110C2×C22⋊C4×C139D414yescomplemented
111C2×C22⋊C4×C139C2314yes—
112C2×C22⋊C4×C139C2312yes—
113C2×C22⋊C4×C139C2312yes—
114#99×C139—24no—
115#99×C139—28no—
116#99×C139—42no—
117C24×C139—24no—
118C24×C139—28no—
119C24×C139—24no—
120C24×C139—22no—
121C24×C139—22no—
122C24×C139—22no—
123C24×C139—24no—
124C24×C139—216no—
125C24×C139—21no—
126C24×C139—22no—
127C24×C139—22no—
128C24×C139—24no—
129C24×C139—22no—
130C24×C139—48no—
131C24×C139—44no—
132C24×C139—41no—
133C24×C139—416no—
134C24×C139—42no—
135C24×C139—44no—
136C24×C139—416no—
137C24×C139—48no—
138C24×C139—432no—
139C24×C139—42no—
140C24×C139—48no—
141C24×C139—44no—
142C24×C139—432no—
143C24×C139—42no—
144C24×C139—42no—
145C24×C139C2×D411yescharacteristic
146C24×C139C2×D414yes—
147C24×C139C2×D411yescharacteristic
148C24×C139C2×D411yescharacteristic
149C24×C139C2×D411yescharacteristic
150C24×C139C2×D414yescomplemented
151C24×C139C2×D412yescomplemented
152C24×C139C2411yescharacteristic
153#41×C139—48no—
154#41×C139—42no—
155#41×C139—42no—
156C2×Q8×C139—21no—
157C2×D4×C139—22no—
158C2×D4×C139—22no—
159C2×D4×C139—28no—
160C2×D4×C139—22no—
161C2×D4×C139—21no—
162C2×D4×C139—24no—
163C2×D4×C139—22no—
164C2×D4×C139—22no—
165C2×D4×C139—22no—
166C2×D4×C139—28no—
167C2×D4×C139—24no—
168C2×D4×C139—22no—
169C2×D4×C139—22no—
170C2×D4×C139—22no—
171C2×D4×C139—22no—
172C2×D4×C139—22no—
173C2×D4×C139—24no—
174C2×D4×C139—24no—
175C2×D4×C139—24no—
176C2×D4×C139—22no—
177C2×D4×C139—41no—
178C2×D4×C139—41no—
179C2×D4×C139—416no—
180C2×D4×C139—48no—
181C2×D4×C139—48no—
182C2×D4×C139—48no—
183C2×D4×C139—432no—
184C2×D4×C139—42no—
185C2×D4×C139—42no—
186C2×D4×C139—48no—
187C2×D4×C139—48no—
188C2×D4×C139—416no—
189C2×D4×C139—84no—
190C2×D4×C139C2×D414yes—
191C22×C4×C139—24no—
192C22×C4×C139—21no—
193C22×C4×C139—22no—
194C22×C4×C139—22no—
195C22×C4×C139—22no—
196C22×C4×C139—22no—
197C22×C4×C139—22no—
198C22×C4×C139—24no—
199C22×C4×C139—41no—
200C22×C4×C139—44no—
201C22×C4×C139C2×D411yescharacteristic
202C22×C4×C139C2×D411yescharacteristic
203C22×C4×C139C2×D412yescomplemented
204C22×C4×C139C2×D414yescomplemented
205C4⋊C4×C139—22no—
206C4⋊C4×C139—24no—
207C22⋊C4×C139—28no—
208C22⋊C4×C139—24no—
209C22⋊C4×C139—22no—
210C22⋊C4×C139—24no—
211C22⋊C4×C139—24no—
212C22⋊C4×C139—24no—
213C22⋊C4×C139—24no—
214C22⋊C4×C139—22no—
215C22⋊C4×C139—22no—
216C22⋊C4×C139—22no—
217C22⋊C4×C139—28no—
218C22⋊C4×C139—24no—
219C22⋊C4×C139—24no—
220C22⋊C4×C139—48no—
221C22⋊C4×C139—416no—
222C22⋊C4×C139—48no—
223C22⋊C4×C139C2×D414yescomplemented
224C42×C139—22no—
225C23×C139—21no—
226C23×C139—21no—
227C23×C139—24no—
228C23×C139—216no—
229C23×C139—216no—
230C23×C139—28no—
231C23×C139—21no—
232C23×C139—24no—
233C23×C139—21no—
234C23×C139—21no—
235C23×C139—28no—
236C23×C139—28no—
237C23×C139—28no—
238C23×C139—21no—
239C23×C139—21no—
240C23×C139—21no—
241C23×C139—22no—
242C23×C139—21no—
243C23×C139—24no—
244C23×C139—44no—
245C23×C139—42no—
246C23×C139—48no—
247C23×C139—42no—
248C23×C139—44no—
249C23×C139—48no—
250C23×C139—48no—
251C23×C139—48no—
252C23×C139—416no—
253C23×C139—48no—
254C23×C139—48no—
255C23×C139—44no—
256C23×C139—48no—
257C23×C139—48no—
258C23×C139—416no—
259C23×C139—416no—
260C23×C139—464no—
261C23×C139—48no—
262C23×C139—416no—
263C23×C139—42no—
264C23×C139—42no—
265C23×C139—48no—
266C23×C139—42no—
267C23×C139—44no—
268C23×C139—464no—
269C23×C139—416no—
270C23×C139—42no—
271C23×C139—42no—
272C23×C139—44no—
273C23×C139—48no—
274C23×C139—44no—
275C23×C139—82no—
276C23×C139—84no—
277C23×C139—82no—
278C23×C139#12012yes—
279C23×C139#12012yes—
280C23×C139#12012yescomplemented
281C23×C139C22×D411yescharacteristic
282C23×C139C22×D412yes—
283C23×C139C22×D412yes—
284C23×C139H(5,𝔽2)12yes—
285Q8×C139—42no—
286D4×C139—28no—
287D4×C139—44no—
288D4×C139—42no—
289D4×C139—44no—
290D4×C139—416no—
291D4×C139—416no—
292D4×C139—44no—
293D4×C139—42no—
294D4×C139—42no—
295D4×C139—44no—
296D4×C139—44no—
297D4×C139—48no—
298D4×C139—84no—
299D4×C139—84no—
300D4×C139—816no—
301C2×C4×C139—21no—
302C2×C4×C139—21no—
303C2×C4×C139—21no—
304C2×C4×C139—24no—
305C2×C4×C139—24no—
306C2×C4×C139—22no—
307C2×C4×C139—21no—
308C2×C4×C139—21no—
309C2×C4×C139—24no—
310C2×C4×C139—44no—
311C2×C4×C139—44no—
312C2×C4×C139—48no—
313C2×C4×C139—44no—
314C2×C4×C139—42no—
315C2×C4×C139—44no—
316C2×C4×C139—48no—
317C2×C4×C139—44no—
318C2×C4×C139—82no—
319C2×C4×C139#12012yescomplemented
320C22×C139—24no—
321C22×C139—24no—
322C22×C139—22no—
323C22×C139—24no—
324C22×C139—22no—
325C22×C139—22no—
326C22×C139—28no—
327C22×C139—216no—
328C22×C139—22no—
329C22×C139—22no—
330C22×C139—24no—
331C22×C139—42no—
332C22×C139—42no—
333C22×C139—416no—
334C22×C139—42no—
335C22×C139—42no—
336C22×C139—44no—
337C22×C139—416no—
338C22×C139—48no—
339C22×C139—48no—
340C22×C139—42no—
341C22×C139—432no—
342C22×C139—42no—
343C22×C139—432no—
344C22×C139—44no—
345C22×C139—42no—
346C22×C139—48no—
347C22×C139—42no—
348C22×C139—41no—
349C22×C139—44no—
350C22×C139—42no—
351C22×C139—81no—
352C22×C139—88no—
353C22×C139—84no—
354C22×C139—81no—
355C22×C139—162no—
356C22×C139B(4,𝔽2)14yescomplemented
357C22×C139C2×#12011yescharacteristic
358C22×C139C2×#12011yescharacteristic
359C22×C139#53411yescharacteristic
360C22×C139D4214yes—
361C4×C139—22no—
362C4×C139—44no—
363C4×C139—41no—
364C4×C139—42no—
365C4×C139—44no—
366C4×C139—84no—
367C2×C139—21no—
368C2×C139—24no—
369C2×C139—21no—
370C2×C139—24no—
371C2×C139—48no—
372C2×C139—42no—
373C2×C139—42no—
374C2×C139—81no—
375C2×C139—82no—
376C2×C139#240311yescharacteristic
377C2×C139C2×B(4,𝔽2)12yes—
378#23900C13911yesmaximal, characteristic, direct product factor, Sylow
379C139#2390011yescharacteristic, direct product factor, Sylow
380#3484C2×C13911yescharacteristic, complemented
381C22×#120C2×C13911yescharacteristic, complemented
382C2×B(4,𝔽2)C2×C13912yescomplemented
383#2846C2×C13912yescomplemented
384#2021C2×C13914yescomplemented
385#1898C2×C13912yescomplemented
386#1889C2×C13912yescomplemented
387#1781C2×C13911yescharacteristic, complemented
388C26C22×C13911yescharacteristic, complemented
389C2×H(5,𝔽2)C22×C13911yescharacteristic, complemented
390C23×D4—21no—
391C23×D4C22×C13911yescharacteristic
392#546—24no—
393D42—24no—
394#535—21no—
395#534—21no—
396#534C22×C13912yescomplemented
397#525—21no—
398C2×#120—21no—
399C2×#120—21no—
400C2×#120—21no—
401C2×#120—28no—
402C2×#120—24no—
403C2×#120C22×C13912yes—
404C2×#120C22×C13912yes—
405C2×#120C22×C13912yescomplemented
406C2×#120C22×C13914yescomplemented
407#518C22×C13911yescharacteristic, complemented
408C22×C22⋊C4—21no—
409C22×C22⋊C4C22×C13911yescharacteristic, complemented
410B(4,𝔽2)—28no—
411C2×#99C22×C13912yescomplemented
412C2×#99C22×C13914yescomplemented
413C2×#99C22×C13912yescomplemented
414#379—24no—
415#379C22×C13914yescomplemented
416#379C22×C13912yescomplemented
417#342C22×C13914yescomplemented
418C25—21no—
419C25—21no—
420C25—24no—
421C25—24no—
422C25—48no—
423C25—42no—
424C25D4×C13911yescharacteristic, complemented
425C25C23×C13912yes—
426C25C23×C13911yescharacteristic
427H(5,𝔽2)—24no—
428H(5,𝔽2)—42no—
429C2×#41—21no—
430C2×#41—22no—
431C22×D4—28no—
432C22×D4—22no—
433C22×D4—22no—
434C22×D4—21no—
435C22×D4—24no—
436C22×D4—22no—
437C22×D4—22no—
438C22×D4—24no—
439C22×D4—24no—
440C22×D4—42no—
441C22×D4—48no—
442C22×D4D4×C13911yescharacteristic, complemented
443C22×D4D4×C13911yescharacteristic, complemented
444C22×D4D4×C13914yescomplemented
445C22×D4C23×C13911yescharacteristic
446C22×D4C23×C13911yescharacteristic
447C22×D4C23×C13912yes—
448C23×C4—21no—
449C23×C4D4×C13911yescharacteristic, complemented
450#127—22no—
451#124—22no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8—22no—
456#121—22no—
457#121—24no—
458#121—24no—
459#121—24no—
460#120—28no—
461#120—28no—
462#120—24no—
463#120—22no—
464#120—22no—
465#120—22no—
466#120—22no—
467#120—24no—
468#120—24no—
469#120—22no—
470#120—24no—
471#120—24no—
472#120—28no—
473#120—44no—
474#120—416no—
475#120D4×C13918yescomplemented
476C4×D4—24no—
477C4×D4—24no—
478#117—21no—
479C2×C22⋊C4—28no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—24no—
486C2×C22⋊C4—24no—
487C2×C22⋊C4—28no—
488C2×C22⋊C4—24no—
489C2×C22⋊C4D4×C13914yescomplemented
490C2×C22⋊C4C23×C13914yes—
491C2×C22⋊C4C23×C13912yes—
492C2×C22⋊C4C23×C13912yes—
493#99—24no—
494#99—28no—
495#99—42no—
496C24—24no—
497C24—28no—
498C24—24no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—24no—
503C24—216no—
504C24—21no—
505C24—22no—
506C24—22no—
507C24—24no—
508C24—22no—
509C24—44no—
510C24—48no—
511C24—41no—
512C24—416no—
513C24—44no—
514C24—42no—
515C24—416no—
516C24—48no—
517C24—432no—
518C24—48no—
519C24—42no—
520C24—44no—
521C24—432no—
522C24—42no—
523C24—42no—
524C24C2×D4×C13911yescharacteristic
525C24C2×D4×C13914yes—
526C24C2×D4×C13911yescharacteristic
527C24C2×D4×C13911yescharacteristic
528C24C2×D4×C13911yescharacteristic
529C24C2×D4×C13914yescomplemented
530C24C2×D4×C13912yescomplemented
531C24C24×C13911yescharacteristic
532#41—48no—
533#41—42no—
534#41—42no—
535C2×Q8—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—28no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—24no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—28no—
546C2×D4—24no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—24no—
553C2×D4—24no—
554C2×D4—24no—
555C2×D4—22no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4—416no—
559C2×D4—48no—
560C2×D4—48no—
561C2×D4—48no—
562C2×D4—432no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—48no—
566C2×D4—48no—
567C2×D4—416no—
568C2×D4—84no—
569C2×D4C2×D4×C13914yes—
570C22×C4—24no—
571C22×C4—21no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—41no—
579C22×C4—44no—
580C22×C4C2×D4×C13911yescharacteristic
581C22×C4C2×D4×C13911yescharacteristic
582C22×C4C2×D4×C13912yescomplemented
583C22×C4C2×D4×C13914yescomplemented
584C4⋊C4—22no—
585C4⋊C4—24no—
586C22⋊C4—28no—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—28no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—48no—
600C22⋊C4—416no—
601C22⋊C4—48no—
602C22⋊C4C2×D4×C13914yescomplemented
603C42—22no—
604C23—24no—
605C23—21no—
606C23—21no—
607C23—216no—
608C23—216no—
609C23—28no—
610C23—28no—
611C23—21no—
612C23—24no—
613C23—21no—
614C23—21no—
615C23—28no—
616C23—28no—
617C23—21no—
618C23—21no—
619C23—22no—
620C23—21no—
621C23—21no—
622C23—24no—
623C23—44no—
624C23—42no—
625C23—48no—
626C23—42no—
627C23—44no—
628C23—48no—
629C23—48no—
630C23—48no—
631C23—416no—
632C23—48no—
633C23—44no—
634C23—48no—
635C23—48no—
636C23—48no—
637C23—416no—
638C23—416no—
639C23—464no—
640C23—416no—
641C23—48no—
642C23—42no—
643C23—42no—
644C23—48no—
645C23—42no—
646C23—44no—
647C23—464no—
648C23—416no—
649C23—48no—
650C23—42no—
651C23—42no—
652C23—44no—
653C23—44no—
654C23—82no—
655C23—84no—
656C23—82no—
657C23#120×C13912yes—
658C23#120×C13912yes—
659C23#120×C13912yescomplemented
660C23C22×D4×C13911yescharacteristic
661C23C22×D4×C13912yes—
662C23C22×D4×C13912yes—
663C23H(5,𝔽2)×C13912yes—
664Q8—42no—
665D4—28no—
666D4—44no—
667D4—42no—
668D4—44no—
669D4—416no—
670D4—416no—
671D4—44no—
672D4—48no—
673D4—42no—
674D4—42no—
675D4—44no—
676D4—44no—
677D4—84no—
678D4—84no—
679D4—816no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—24no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—24no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—48no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—48no—
696C2×C4—44no—
697C2×C4—82no—
698C2×C4#120×C13912yescomplemented
699C22—24no—
700C22—24no—
701C22—24no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—28no—
706C22—216no—
707C22—24no—
708C22—22no—
709C22—22no—
710C22—42no—
711C22—42no—
712C22—416no—
713C22—42no—
714C22—42no—
715C22—44no—
716C22—416no—
717C22—48no—
718C22—432no—
719C22—48no—
720C22—42no—
721C22—42no—
722C22—432no—
723C22—42no—
724C22—48no—
725C22—44no—
726C22—44no—
727C22—42no—
728C22—42no—
729C22—41no—
730C22—81no—
731C22—88no—
732C22—84no—
733C22—81no—
734C22—162no—
735C22B(4,𝔽2)×C13914yescomplemented
736C22C2×#120×C13911yescharacteristic
737C22C2×#120×C13911yescharacteristic
738C22#534×C13911yescharacteristic
739C22D42×C13914yes—
740C4—22no—
741C4—44no—
742C4—44no—
743C4—41no—
744C4—42no—
745C4—84no—
746C2—21no—
747C2—24no—
748C2—24no—
749C2—21no—
750C2—48no—
751C2—42no—
752C2—42no—
753C2—81no—
754C2—82no—
755C2#2403×C13911yescharacteristic
756C2C2×B(4,𝔽2)×C13912yes—
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC24C24×C139
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C25×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3484×C139C2semidirect
2. C22×#120×C139C2semidirect
3. C2×B(4,𝔽2)×C139C2semidirect
4. #2846×C139C2semidirect
5. #2021×C139C2semidirect
6. #1898×C139C2semidirect
7. #1889×C139C2semidirect
8. #1781×C139C2semidirect
9. C26×C139C22semidirect
10. C2×H(5,𝔽2)×C139C22semidirect
17. #534×C139C22semidirect
26. C2×#120×C139C22semidirect
27. C2×#120×C139C22semidirect
28. #518×C139C22semidirect
30. C22×C22⋊C4×C139C22semidirect
32. C2×#99×C139C22semidirect
33. C2×#99×C139C22semidirect
34. C2×#99×C139C22semidirect
36. #379×C139C22semidirect
37. #379×C139C22semidirect
38. #342×C139C22semidirect
45. C25×C139D4semidirect
63. C22×D4×C139D4semidirect
64. C22×D4×C139D4semidirect
65. C22×D4×C139D4semidirect
70. C23×C4×C139D4semidirect
96. #120×C139D4semidirect
110. C2×C22⋊C4×C139D4semidirect
150. C24×C139C2×D4semidirect
151. C24×C139C2×D4semidirect
203. C22×C4×C139C2×D4semidirect
204. C22×C4×C139C2×D4semidirect
223. C22⋊C4×C139C2×D4semidirect
280. C23×C139#120semidirect
319. C2×C4×C139#120semidirect
356. C22×C139B(4,𝔽2)semidirect
378. #23900C139direct (N × H)
379. C139#23900direct (N × H)
380. #3484C2×C139semidirect
381. C22×#120C2×C139semidirect
382. C2×B(4,𝔽2)C2×C139semidirect
383. #2846C2×C139semidirect
384. #2021C2×C139semidirect
385. #1898C2×C139semidirect
386. #1889C2×C139semidirect
387. #1781C2×C139semidirect
388. C26C22×C139semidirect
389. C2×H(5,𝔽2)C22×C139semidirect
396. #534C22×C139semidirect
405. C2×#120C22×C139semidirect
406. C2×#120C22×C139semidirect
407. #518C22×C139semidirect
409. C22×C22⋊C4C22×C139semidirect
411. C2×#99C22×C139semidirect
412. C2×#99C22×C139semidirect
413. C2×#99C22×C139semidirect
415. #379C22×C139semidirect
416. #379C22×C139semidirect
417. #342C22×C139semidirect
424. C25D4×C139semidirect
442. C22×D4D4×C139semidirect
443. C22×D4D4×C139semidirect
444. C22×D4D4×C139semidirect
449. C23×C4D4×C139semidirect
475. #120D4×C139semidirect
489. C2×C22⋊C4D4×C139semidirect
529. C24C2×D4×C139semidirect
530. C24C2×D4×C139semidirect
582. C22×C4C2×D4×C139semidirect
583. C22×C4C2×D4×C139semidirect
602. C22⋊C4C2×D4×C139semidirect
659. C23#120×C139semidirect
698. C2×C4#120×C139semidirect
735. C22B(4,𝔽2)×C139semidirect

Maximal subgroups

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

subgroupindex
#3484×C1392
C22×#120×C1392
C2×B(4,𝔽2)×C1392
#2846×C1392
#2021×C1392
#1898×C1392
#1889×C1392
#1781×C1392
#23900139