Finite Group Databasebeta

← C139×#24260 #48018856

Subgroups — C139×#24260 #48018856

Order 35584.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C139C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C139C212yesmaximal, complemented
3#2847×C139C212yesmaximal, complemented
4C4×#120×C139C211yesmaximal, characteristic, complemented
5#2044×C139C212yesmaximal, complemented
6#2021×C139C212yesmaximal, complemented
7#1964×C139C212yesmaximal, complemented
8#1799×C139C211yesmaximal, characteristic, complemented
9#1790×C139C212yesmaximal, complemented
10C2×H(5,𝔽2)×C139C2212yes—
11C24×C4×C139C2211yescharacteristic, complemented
12#547×C139—22no—
13#546×C139—24no—
14D42×C139—22no—
15#537×C139—21no—
16#534×C139—21no—
17#534×C139C2212yes—
18#532×C139—21no—
19C2×#121×C139—21no—
20C2×#121×C139—22no—
21C2×#121×C139C2212yes—
22C2×#120×C139C2211yescharacteristic
23C2×#120×C139C2214yescomplemented
24C2×C4×D4×C139—21no—
25C2×C4×D4×C139C2211yescharacteristic
26B(4,𝔽2)×C139—28no—
27C2×#99×C139C2212yes—
28C2×#99×C139C2214yescomplemented
29C2×#99×C139C2214yescomplemented
30#386×C139—21no—
31#386×C139—24no—
32#386×C139C2211yescharacteristic
33#386×C139C2214yescomplemented
34#385×C139—21no—
35#385×C139C2211yescharacteristic, complemented
36#380×C139—22no—
37#380×C139C2212yescomplemented
38#379×C139C2211yescharacteristic, complemented
39C4×C22⋊C4×C139—21no—
40C4×C22⋊C4×C139C2211yescharacteristic, complemented
41#342×C139C2212yescomplemented
42C25×C139C2311yescharacteristic
43H(5,𝔽2)×C139—24no—
44H(5,𝔽2)×C139—24no—
45H(5,𝔽2)×C139—44no—
46C2×#41×C139—22no—
47C2×#41×C139—24no—
48C22×D4×C139—21no—
49C22×D4×C139—22no—
50C22×D4×C139—24no—
51C22×D4×C139—21no—
52C22×D4×C139—24no—
53C22×D4×C139D412yescomplemented
54C22×D4×C139C2314yes—
55C22×D4×C139C2311yescharacteristic
56C23×C4×C139—21no—
57C23×C4×C139—22no—
58C23×C4×C139—21no—
59C23×C4×C139—22no—
60C23×C4×C139—44no—
61C23×C4×C139D411yescharacteristic, complemented
62C23×C4×C139C2311yescharacteristic
63C23×C4×C139C2311yescharacteristic
64C4⋊Q8×C139—21no—
65#127×C139—21no—
66#124×C139—22no—
67#123×C139—24no—
68#123×C139—24no—
69C22⋊Q8×C139—24no—
70#121×C139—22no—
71#121×C139—22no—
72#121×C139—24no—
73#121×C139—22no—
74#121×C139—22no—
75#121×C139—22no—
76#121×C139—22no—
77#121×C139—22no—
78#121×C139—22no—
79#121×C139—48no—
80#120×C139—24no—
81#120×C139—24no—
82#120×C139—22no—
83#120×C139—28no—
84#120×C139—44no—
85#120×C139D414yescomplemented
86C4×D4×C139—22no—
87C4×D4×C139—22no—
88C4×D4×C139—22no—
89C4×D4×C139—22no—
90C4×D4×C139—44no—
91C2×C4⋊C4×C139—21no—
92C2×C4⋊C4×C139—21no—
93C2×C4⋊C4×C139—22no—
94C2×C4⋊C4×C139D411yescharacteristic, complemented
95C2×C4⋊C4×C139D412yescomplemented
96C2×C22⋊C4×C139—22no—
97C2×C22⋊C4×C139—21no—
98C2×C22⋊C4×C139—21no—
99C2×C22⋊C4×C139—24no—
100C2×C22⋊C4×C139—21no—
101C2×C22⋊C4×C139—24no—
102C2×C22⋊C4×C139—21no—
103C2×C22⋊C4×C139D411yescharacteristic, complemented
104C2×C22⋊C4×C139D414yescomplemented
105C2×C22⋊C4×C139C2314yes—
106C2×C22⋊C4×C139C2311yescharacteristic
107C2×C22⋊C4×C139C2311yescharacteristic
108C2×C22⋊C4×C139C2311yescharacteristic
109C2×C42×C139—21no—
110C2×C42×C139D411yescharacteristic, complemented
111#99×C139—24no—
112#99×C139—28no—
113#99×C139—44no—
114#95×C139—21no—
115#95×C139—21no—
116#95×C139—21no—
117#95×C139—24no—
118#95×C139—22no—
119C24×C139—21no—
120C24×C139—22no—
121C24×C139—22no—
122C24×C139—21no—
123C24×C139—22no—
124C24×C139—42no—
125C24×C139—42no—
126C24×C139C2×D414yes—
127C24×C139C2×D411yescharacteristic
128C24×C139C2×D412yescomplemented
129C24×C139C2411yescharacteristic
130#41×C139—48no—
131#41×C139—48no—
132#41×C139—44no—
133#41×C139—44no—
134C2×Q8×C139—22no—
135C2×D4×C139—22no—
136C2×D4×C139—22no—
137C2×D4×C139—24no—
138C2×D4×C139—22no—
139C2×D4×C139—24no—
140C2×D4×C139—24no—
141C2×D4×C139—24no—
142C2×D4×C139—24no—
143C2×D4×C139—24no—
144C2×D4×C139—24no—
145C2×D4×C139—24no—
146C2×D4×C139—22no—
147C2×D4×C139—22no—
148C2×D4×C139—22no—
149C2×D4×C139—22no—
150C2×D4×C139—44no—
151C2×D4×C139—48no—
152C2×D4×C139—48no—
153C2×D4×C139—42no—
154C2×D4×C139—42no—
155C2×D4×C139—44no—
156C2×D4×C139—44no—
157C2×D4×C139—48no—
158C2×D4×C139—48no—
159C2×D4×C139—48no—
160C2×D4×C139—82no—
161C2×D4×C139C2×D412yes—
162C2×D4×C139#4112yes—
163C22×C4×C139—22no—
164C22×C4×C139—24no—
165C22×C4×C139—24no—
166C22×C4×C139—28no—
167C22×C4×C139—21no—
168C22×C4×C139—22no—
169C22×C4×C139—21no—
170C22×C4×C139—21no—
171C22×C4×C139—21no—
172C22×C4×C139—21no—
173C22×C4×C139—24no—
174C22×C4×C139—42no—
175C22×C4×C139—42no—
176C22×C4×C139—42no—
177C22×C4×C139—44no—
178C22×C4×C139—44no—
179C22×C4×C139—42no—
180C22×C4×C139—42no—
181C22×C4×C139—42no—
182C22×C4×C139—44no—
183C22×C4×C139—41no—
184C22×C4×C139—42no—
185C22×C4×C139—41no—
186C22×C4×C139C2×D414yes—
187C22×C4×C139C2×D411yescharacteristic
188C22×C4×C139C2×D412yes—
189C22×C4×C139C2×D411yescharacteristic
190C22×C4×C139C2×D411yescharacteristic
191C22×C4×C139C2×D411yescharacteristic
192C22×C4×C139C2×D412yes—
193C22×C4×C139C2×D411yescharacteristic
194C4⋊C4×C139—22no—
195C4⋊C4×C139—22no—
196C4⋊C4×C139—22no—
197C4⋊C4×C139—22no—
198C4⋊C4×C139—22no—
199C4⋊C4×C139—42no—
200C4⋊C4×C139—44no—
201C22⋊C4×C139—24no—
202C22⋊C4×C139—24no—
203C22⋊C4×C139—22no—
204C22⋊C4×C139—21no—
205C22⋊C4×C139—24no—
206C22⋊C4×C139—22no—
207C22⋊C4×C139—24no—
208C22⋊C4×C139—24no—
209C22⋊C4×C139—24no—
210C22⋊C4×C139—22no—
211C22⋊C4×C139—24no—
212C22⋊C4×C139—48no—
213C22⋊C4×C139—42no—
214C22⋊C4×C139—48no—
215C22⋊C4×C139—42no—
216C22⋊C4×C139—42no—
217C22⋊C4×C139C2×D412yescomplemented
218C42×C139—21no—
219C42×C139—21no—
220C42×C139—42no—
221C23×C139—22no—
222C23×C139—22no—
223C23×C139—24no—
224C23×C139—24no—
225C23×C139—21no—
226C23×C139—22no—
227C23×C139—24no—
228C23×C139—21no—
229C23×C139—24no—
230C23×C139—24no—
231C23×C139—24no—
232C23×C139—41no—
233C23×C139—44no—
234C23×C139—41no—
235C23×C139—41no—
236C23×C139—42no—
237C23×C139—41no—
238C23×C139—42no—
239C23×C139—44no—
240C23×C139—48no—
241C23×C139—41no—
242C23×C139—41no—
243C23×C139—44no—
244C23×C139—44no—
245C23×C139—44no—
246C23×C139—41no—
247C23×C139—41no—
248C23×C139—42no—
249C23×C139—82no—
250C23×C139—82no—
251C23×C139#12112yescomplemented
252C23×C139C22×D411yescharacteristic
253C23×C139C22×D412yes—
254C23×C139C22×D411yescharacteristic
255C23×C139C2×#4111yescharacteristic
256C23×C139H(5,𝔽2)12yes—
257Q8×C139—44no—
258D4×C139—24no—
259D4×C139—24no—
260D4×C139—44no—
261D4×C139—48no—
262D4×C139—48no—
263D4×C139—44no—
264D4×C139—44no—
265D4×C139—44no—
266D4×C139—44no—
267D4×C139—44no—
268D4×C139—82no—
269D4×C139—82no—
270D4×C139—82no—
271D4×C139—816no—
272C2×C4×C139—21no—
273C2×C4×C139—21no—
274C2×C4×C139—22no—
275C2×C4×C139—24no—
276C2×C4×C139—24no—
277C2×C4×C139—22no—
278C2×C4×C139—21no—
279C2×C4×C139—21no—
280C2×C4×C139—24no—
281C2×C4×C139—22no—
282C2×C4×C139—24no—
283C2×C4×C139—24no—
284C2×C4×C139—42no—
285C2×C4×C139—41no—
286C2×C4×C139—44no—
287C2×C4×C139—48no—
288C2×C4×C139—48no—
289C2×C4×C139—41no—
290C2×C4×C139—41no—
291C2×C4×C139—42no—
292C2×C4×C139—41no—
293C2×C4×C139—44no—
294C2×C4×C139—41no—
295C2×C4×C139—44no—
296C2×C4×C139—42no—
297C2×C4×C139—41no—
298C2×C4×C139—41no—
299C2×C4×C139—41no—
300C2×C4×C139—44no—
301C2×C4×C139—41no—
302C2×C4×C139—44no—
303C2×C4×C139—41no—
304C2×C4×C139—44no—
305C2×C4×C139—81no—
306C2×C4×C139#12011yescharacteristic
307C2×C4×C139#12012yes—
308C2×C4×C139#12011yescharacteristic
309C2×C4×C139#12112yescomplemented
310C22×C139—21no—
311C22×C139—22no—
312C22×C139—21no—
313C22×C139—22no—
314C22×C139—24no—
315C22×C139—28no—
316C22×C139—22no—
317C22×C139—41no—
318C22×C139—41no—
319C22×C139—42no—
320C22×C139—42no—
321C22×C139—42no—
322C22×C139—44no—
323C22×C139—42no—
324C22×C139—42no—
325C22×C139—44no—
326C22×C139—44no—
327C22×C139—42no—
328C22×C139—42no—
329C22×C139—41no—
330C22×C139—42no—
331C22×C139—41no—
332C22×C139—44no—
333C22×C139—44no—
334C22×C139—44no—
335C22×C139—81no—
336C22×C139—84no—
337C22×C139—84no—
338C22×C139—164no—
339C22×C139C2×#12011yescharacteristic
340C22×C139C2×#12111yescharacteristic
341C22×C139#53511yescharacteristic
342C22×C139D4212yes—
343C22×C139#54612yes—
344C4×C139—22no—
345C4×C139—21no—
346C4×C139—22no—
347C4×C139—42no—
348C4×C139—44no—
349C4×C139—42no—
350C4×C139—41no—
351C4×C139—41no—
352C4×C139—81no—
353C4×C139—84no—
354C4×C139B(4,𝔽2)12yescomplemented
355C2×C139—21no—
356C2×C139—22no—
357C2×C139—21no—
358C2×C139—22no—
359C2×C139—44no—
360C2×C139—42no—
361C2×C139—84no—
362C2×C139#240811yescharacteristic
363C2×C139C2×B(4,𝔽2)11yescharacteristic
364C2×C139#302511yescharacteristic
365#24260C13911yesmaximal, characteristic, direct product factor, Sylow
366C139#2426011yescharacteristic, direct product factor, Sylow
367#3496C2×C13911yescharacteristic, complemented
368C2×B(4,𝔽2)C2×C13912yescomplemented
369#2847C2×C13912yescomplemented
370C4×#120C2×C13911yescharacteristic, complemented
371#2044C2×C13912yescomplemented
372#2021C2×C13912yescomplemented
373#1964C2×C13912yescomplemented
374#1799C2×C13911yescharacteristic, complemented
375#1790C2×C13912yescomplemented
376C2×H(5,𝔽2)C22×C13912yes—
377C24×C4C22×C13911yescharacteristic, complemented
378#547—22no—
379#546—24no—
380D42—22no—
381#537—21no—
382#534—21no—
383#534C22×C13912yes—
384#532—21no—
385C2×#121—21no—
386C2×#121—22no—
387C2×#121C22×C13912yes—
388C2×#120C22×C13911yescharacteristic
389C2×#120C22×C13914yescomplemented
390C2×C4×D4—21no—
391C2×C4×D4C22×C13911yescharacteristic
392B(4,𝔽2)—28no—
393C2×#99C22×C13912yes—
394C2×#99C22×C13914yescomplemented
395C2×#99C22×C13914yescomplemented
396#386—24no—
397#386—21no—
398#386C22×C13911yescharacteristic
399#386C22×C13914yescomplemented
400#385—21no—
401#385C22×C13911yescharacteristic, complemented
402#380—22no—
403#380C22×C13912yescomplemented
404#379C22×C13911yescharacteristic, complemented
405C4×C22⋊C4—21no—
406C4×C22⋊C4C22×C13911yescharacteristic, complemented
407#342C22×C13912yescomplemented
408C25C23×C13911yescharacteristic
409H(5,𝔽2)—24no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)—44no—
412C2×#41—22no—
413C2×#41—24no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4—24no—
417C22×D4—21no—
418C22×D4—24no—
419C22×D4D4×C13912yescomplemented
420C22×D4C23×C13914yes—
421C22×D4C23×C13911yescharacteristic
422C23×C4—21no—
423C23×C4—22no—
424C23×C4—21no—
425C23×C4—22no—
426C23×C4—44no—
427C23×C4D4×C13911yescharacteristic, complemented
428C23×C4C23×C13911yescharacteristic
429C23×C4C23×C13911yescharacteristic
430C4⋊Q8—21no—
431#127—21no—
432#124—22no—
433#123—24no—
434#123—24no—
435C22⋊Q8—24no—
436#121—22no—
437#121—22no—
438#121—24no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—48no—
446#120—24no—
447#120—24no—
448#120—22no—
449#120—28no—
450#120—44no—
451#120D4×C13914yescomplemented
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—44no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4D4×C13911yescharacteristic, complemented
461C2×C4⋊C4D4×C13912yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—24no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4D4×C13911yescharacteristic, complemented
470C2×C22⋊C4D4×C13914yescomplemented
471C2×C22⋊C4C23×C13914yes—
472C2×C22⋊C4C23×C13911yescharacteristic
473C2×C22⋊C4C23×C13911yescharacteristic
474C2×C22⋊C4C23×C13911yescharacteristic
475C2×C42—21no—
476C2×C42D4×C13911yescharacteristic, complemented
477#99—24no—
478#99—28no—
479#99—44no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—24no—
484#95—22no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—21no—
489C24—22no—
490C24—42no—
491C24—42no—
492C24C2×D4×C13914yes—
493C24C2×D4×C13911yescharacteristic
494C24C2×D4×C13912yescomplemented
495C24C24×C13911yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—48no—
525C2×D4—48no—
526C2×D4—82no—
527C2×D4C2×D4×C13912yes—
528C2×D4#41×C13912yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—41no—
550C22×C4—42no—
551C22×C4—41no—
552C22×C4C2×D4×C13914yes—
553C22×C4C2×D4×C13911yescharacteristic
554C22×C4C2×D4×C13912yes—
555C22×C4C2×D4×C13911yescharacteristic
556C22×C4C2×D4×C13911yescharacteristic
557C22×C4C2×D4×C13911yescharacteristic
558C22×C4C2×D4×C13912yes—
559C22×C4C2×D4×C13911yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—24no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—42no—
580C22⋊C4—48no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4C2×D4×C13912yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—41no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—44no—
606C23—48no—
607C23—41no—
608C23—41no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23#121×C13912yescomplemented
618C23C22×D4×C13911yescharacteristic
619C23C22×D4×C13912yes—
620C23C22×D4×C13911yescharacteristic
621C23C2×#41×C13911yescharacteristic
622C23H(5,𝔽2)×C13912yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—44no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—816no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—81no—
672C2×C4#120×C13911yescharacteristic
673C2×C4#120×C13912yes—
674C2×C4#120×C13911yescharacteristic
675C2×C4#121×C13912yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—41no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—81no—
702C22—84no—
703C22—84no—
704C22—164no—
705C22C2×#120×C13911yescharacteristic
706C22C2×#121×C13911yescharacteristic
707C22#535×C13911yescharacteristic
708C22D42×C13912yes—
709C22#546×C13912yes—
710C4—21no—
711C4—22no—
712C4—22no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—41no—
717C4—44no—
718C4—84no—
719C4—81no—
720C4B(4,𝔽2)×C13912yescomplemented
721C2—21no—
722C2—22no—
723C2—21no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—84no—
728C2#2408×C13911yescharacteristic
729C2C2×B(4,𝔽2)×C13911yescharacteristic
730C2#3025×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC24C24×C139
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C23×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C139C2semidirect
2. C2×B(4,𝔽2)×C139C2semidirect
3. #2847×C139C2semidirect
4. C4×#120×C139C2semidirect
5. #2044×C139C2semidirect
6. #2021×C139C2semidirect
7. #1964×C139C2semidirect
8. #1799×C139C2semidirect
9. #1790×C139C2semidirect
11. C24×C4×C139C22semidirect
23. C2×#120×C139C22semidirect
28. C2×#99×C139C22semidirect
29. C2×#99×C139C22semidirect
33. #386×C139C22semidirect
35. #385×C139C22semidirect
37. #380×C139C22semidirect
38. #379×C139C22semidirect
40. C4×C22⋊C4×C139C22semidirect
41. #342×C139C22semidirect
53. C22×D4×C139D4semidirect
61. C23×C4×C139D4semidirect
85. #120×C139D4semidirect
94. C2×C4⋊C4×C139D4semidirect
95. C2×C4⋊C4×C139D4semidirect
103. C2×C22⋊C4×C139D4semidirect
104. C2×C22⋊C4×C139D4semidirect
110. C2×C42×C139D4semidirect
128. C24×C139C2×D4semidirect
217. C22⋊C4×C139C2×D4semidirect
251. C23×C139#121semidirect
309. C2×C4×C139#121semidirect
354. C4×C139B(4,𝔽2)semidirect
365. #24260C139direct (N × H)
366. C139#24260direct (N × H)
367. #3496C2×C139semidirect
368. C2×B(4,𝔽2)C2×C139semidirect
369. #2847C2×C139semidirect
370. C4×#120C2×C139semidirect
371. #2044C2×C139semidirect
372. #2021C2×C139semidirect
373. #1964C2×C139semidirect
374. #1799C2×C139semidirect
375. #1790C2×C139semidirect
377. C24×C4C22×C139semidirect
389. C2×#120C22×C139semidirect
394. C2×#99C22×C139semidirect
395. C2×#99C22×C139semidirect
399. #386C22×C139semidirect
401. #385C22×C139semidirect
403. #380C22×C139semidirect
404. #379C22×C139semidirect
406. C4×C22⋊C4C22×C139semidirect
407. #342C22×C139semidirect
419. C22×D4D4×C139semidirect
427. C23×C4D4×C139semidirect
451. #120D4×C139semidirect
460. C2×C4⋊C4D4×C139semidirect
461. C2×C4⋊C4D4×C139semidirect
469. C2×C22⋊C4D4×C139semidirect
470. C2×C22⋊C4D4×C139semidirect
476. C2×C42D4×C139semidirect
494. C24C2×D4×C139semidirect
583. C22⋊C4C2×D4×C139semidirect
617. C23#121×C139semidirect
675. C2×C4#121×C139semidirect
720. C4B(4,𝔽2)×C139semidirect

Maximal subgroups

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

subgroupindex
#3496×C1392
C2×B(4,𝔽2)×C1392
#2847×C1392
C4×#120×C1392
#2044×C1392
#2021×C1392
#1964×C1392
#1799×C1392
#1790×C1392
#24260139