Finite Group Databasebeta

← C139×#20160 #48014756

Subgroups — C139×#20160 #48014756

Order 35584.

764 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3397×C139C211yesmaximal, characteristic, complemented
2#3324×C139C211yesmaximal, characteristic, complemented
3D4×D8×C139C211yesmaximal, characteristic, complemented
4#3274×C139C211yesmaximal, characteristic, complemented
5#1721×C139C211yesmaximal, characteristic, complemented
6#1701×C139C211yesmaximal, characteristic, complemented
7#1688×C139C211yesmaximal, characteristic, complemented
8#1687×C139C211yesmaximal, characteristic, complemented
9#1665×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1628×C139C211yesmaximal, characteristic, complemented
12#1621×C139C211yesmaximal, characteristic, complemented
13#1619×C139C211yesmaximal, characteristic, complemented
14#1594×C139C211yesmaximal, characteristic, complemented
15#1582×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×D8×C139—21no—
18#556×C139C2211yescharacteristic, complemented
19#550×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#496×C139—21no—
23#493×C139C2211yescharacteristic
24#493×C139C2211yescharacteristic, complemented
25#493×C139C2211yescharacteristic, complemented
26#492×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#486×C139C2211yescharacteristic, complemented
29#482×C139—21no—
30#474×C139C2211yescharacteristic
31#469×C139—21no—
32#468×C139—21no—
33#466×C139—21no—
34#463×C139—21no—
35#461×C139C2211yescharacteristic, complemented
36#460×C139—21no—
37#460×C139C2211yescharacteristic, complemented
38#460×C139C2211yescharacteristic, complemented
39#459×C139C2211yescharacteristic
40#459×C139C2211yescharacteristic
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic, complemented
43#450×C139—21no—
44#449×C139—21no—
45#447×C139—21no—
46#447×C139—21no—
47#447×C139—21no—
48#446×C139C2211yescharacteristic, complemented
49#440×C139—21no—
50C4×SD16×C139C2211yescharacteristic
51C4×D8×C139C2211yescharacteristic
52#436×C139C2211yescharacteristic, complemented
53#436×C139C2211yescharacteristic, complemented
54C8×D4×C139C2211yescharacteristic
55#418×C139—21no—
56#334×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#331×C139C2211yescharacteristic, complemented
60#331×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic, complemented
62Q8⋊C8×C139C2211yescharacteristic, complemented
63D4⋊C8×C139C2211yescharacteristic
64D4⋊C8×C139C2211yescharacteristic, complemented
65D4⋊C8×C139C2211yescharacteristic, complemented
66#322×C139C2211yescharacteristic, complemented
67C2×#41×C139—21no—
68C22×D4×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71C22×D4×C139—21no—
72AGL(1,ℤ/8)×C139—44no—
73C2×SD16×C139—21no—
74C2×SD16×C139—21no—
75C2×SD16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×C139—21no—
78C2×SD16×C139D411yescharacteristic
79C2×D8×C139—21no—
80C2×D8×C139—21no—
81C2×D8×C139—21no—
82C2×D8×C139—21no—
83C2×D8×C139—21no—
84C2×D8×C139—21no—
85C2×D8×C139—21no—
86C2×D8×C139—21no—
87C2×D8×C139—41no—
88C2×D8×C139—44no—
89C2×D8×C139D411yescharacteristic
90C2×M16×C139—21no—
91C2×M16×C139—21no—
92C22×C8×C139—21no—
93C4⋊Q8×C139C2311yescharacteristic
94#127×C139—21no—
95#127×C139C2311yescharacteristic
96#127×C139C2311yescharacteristic
97#127×C139C2311yescharacteristic
98#126×C139—41no—
99#124×C139—21no—
100C22⋊Q8×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—21no—
105#121×C139—21no—
106#121×C139—41no—
107#120×C139—41no—
108#120×C139—41no—
109C4×Q8×C139—21no—
110C4×Q8×C139C2311yescharacteristic
111C4×D4×C139—21no—
112C4×D4×C139C2311yescharacteristic
113C4×D4×C139C2311yescharacteristic
114C4×D4×C139C2311yescharacteristic
115#117×C139—21no—
116#107×C139—21no—
117#107×C139D411yescharacteristic
118#106×C139D411yescharacteristic
119C4⋊C8×C139—21no—
120C4⋊C8×C139C2311yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124#103×C139—21no—
125#103×C139D411yescharacteristic
126#102×C139—21no—
127#102×C139—21no—
128#102×C139—21no—
129#102×C139—21no—
130#102×C139—21no—
131#102×C139—21no—
132#102×C139—21no—
133#102×C139—21no—
134#102×C139—21no—
135#102×C139—41no—
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138#102×C139D411yescharacteristic
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142#97×C139—21no—
143C4×C8×C139C2311yescharacteristic
144C4×C8×C139C2311yescharacteristic
145C4×C8×C139C2311yescharacteristic
146C24×C139—41no—
147C24×C139—41no—
148#41×C139—42no—
149#41×C139—81no—
150C2×Q8×C139—21no—
151C2×Q8×C139C2×D411yescharacteristic
152C2×D4×C139—21no—
153C2×D4×C139—21no—
154C2×D4×C139—21no—
155C2×D4×C139—21no—
156C2×D4×C139—21no—
157C2×D4×C139—21no—
158C2×D4×C139—21no—
159C2×D4×C139—21no—
160C2×D4×C139—21no—
161C2×D4×C139—41no—
162C2×D4×C139—41no—
163C2×D4×C139—41no—
164C2×D4×C139—41no—
165C2×D4×C139—41no—
166C2×D4×C139—41no—
167C2×D4×C139—42no—
168C2×D4×C139—42no—
169C2×D4×C139—42no—
170C2×D4×C139—42no—
171C2×D4×C139—81no—
172C2×D4×C139—81no—
173C2×D4×C139—81no—
174C2×D4×C139—81no—
175C2×D4×C139C2×D411yescharacteristic
176C2×D4×C139C2×D411yescharacteristic
177C2×D4×C139C2×D411yescharacteristic
178C22×C4×C139—21no—
179C22×C4×C139—21no—
180C22×C4×C139—21no—
181C22×C4×C139—41no—
182SD16×C139—22no—
183SD16×C139—42no—
184SD16×C139—42no—
185SD16×C139—81no—
186SD16×C139—81no—
187SD16×C139—81no—
188D8×C139—22no—
189D8×C139—42no—
190D8×C139—42no—
191D8×C139—42no—
192D8×C139—42no—
193D8×C139—42no—
194D8×C139—81no—
195D8×C139—81no—
196D8×C139—81no—
197D8×C139—82no—
198M16×C139—42no—
199M16×C139—81no—
200C2×C8×C139—21no—
201C2×C8×C139—21no—
202C2×C8×C139—21no—
203C2×C8×C139—21no—
204C2×C8×C139—21no—
205C2×C8×C139—42no—
206C2×C8×C139C2×D411yescharacteristic
207C2×C8×C139C2×D411yescharacteristic
208C2×C8×C139C2×D411yescharacteristic
209C2×C8×C139C2×D411yescharacteristic
210C4⋊C4×C139—21no—
211C4⋊C4×C139—21no—
212C4⋊C4×C139—21no—
213C4⋊C4×C139—41no—
214C4⋊C4×C139C2×D411yescharacteristic
215C4⋊C4×C139C2×D411yescharacteristic
216C4⋊C4×C139C2×D411yescharacteristic
217C4⋊C4×C139C2×D411yescharacteristic
218C22⋊C4×C139—21no—
219C22⋊C4×C139—21no—
220C22⋊C4×C139—21no—
221C22⋊C4×C139—41no—
222C22⋊C4×C139—41no—
223C22⋊C4×C139—41no—
224C22⋊C4×C139—41no—
225C22⋊C4×C139—41no—
226C42×C139—21no—
227C42×C139—41no—
228C42×C139C2411yescharacteristic
229C23×C139—21no—
230C23×C139—21no—
231C23×C139—21no—
232C23×C139—41no—
233C23×C139—41no—
234C23×C139—41no—
235C23×C139—82no—
236C23×C139—82no—
237C23×C139—82no—
238C23×C139—82no—
239C23×C139—161no—
240C23×C139—161no—
241Q8×C139—21no—
242Q8×C139—21no—
243Q8×C139—41no—
244Q8×C139—41no—
245D4×C139—21no—
246D4×C139—21no—
247D4×C139—21no—
248D4×C139—21no—
249D4×C139—21no—
250D4×C139—41no—
251D4×C139—41no—
252D4×C139—41no—
253D4×C139—41no—
254D4×C139—41no—
255D4×C139—41no—
256D4×C139—41no—
257D4×C139—41no—
258D4×C139—41no—
259D4×C139—41no—
260D4×C139—41no—
261D4×C139—41no—
262D4×C139—81no—
263D4×C139—81no—
264D4×C139—81no—
265D4×C139—82no—
266D4×C139—82no—
267D4×C139—82no—
268D4×C139—82no—
269D4×C139—82no—
270D4×C139—161no—
271D4×C139AGL(1,ℤ/8)12yes—
272C2×C4×C139—21no—
273C2×C4×C139—21no—
274C2×C4×C139—21no—
275C2×C4×C139—21no—
276C2×C4×C139—21no—
277C2×C4×C139—41no—
278C2×C4×C139—41no—
279C2×C4×C139—41no—
280C2×C4×C139—41no—
281C2×C4×C139—41no—
282C2×C4×C139—41no—
283C2×C4×C139—41no—
284C2×C4×C139—82no—
285C2×C4×C139C22×D411yescharacteristic
286C2×C4×C139C22×D411yescharacteristic
287C2×C4×C139H(5,𝔽2)11yescharacteristic
288C8×C139—21no—
289C8×C139—21no—
290C8×C139—21no—
291C8×C139—41no—
292C8×C139—41no—
293C8×C139—41no—
294C8×C139—41no—
295C8×C139—41no—
296C8×C139AGL(1,ℤ/8)12yescomplemented
297C22×C139—22no—
298C22×C139—41no—
299C22×C139—41no—
300C22×C139—41no—
301C22×C139—41no—
302C22×C139—41no—
303C22×C139—41no—
304C22×C139—41no—
305C22×C139—41no—
306C22×C139—81no—
307C22×C139—81no—
308C22×C139—81no—
309C22×C139—81no—
310C22×C139—81no—
311C22×C139—81no—
312C22×C139—81no—
313C22×C139—81no—
314C22×C139—81no—
315C22×C139—164no—
316C22×C139—164no—
317C22×C139D4211yescharacteristic
318C4×C139—21no—
319C4×C139—41no—
320C4×C139—41no—
321C4×C139—41no—
322C4×C139—41no—
323C4×C139—41no—
324C4×C139—81no—
325C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
327C4×C139#57611yescharacteristic
328C4×C139#57611yescharacteristic
329C2×C139—42no—
330C2×C139—81no—
331C2×C139—81no—
332C2×C139—161no—
333C2×C139—161no—
334C2×C139—161no—
335C2×C139#326411yescharacteristic
336C2×C139#327411yescharacteristic
337C2×C139#328811yescharacteristic
338#20160C13911yesmaximal, characteristic, direct product factor, Sylow
339C139#2016011yescharacteristic, direct product factor, Sylow
340#3397C2×C13911yescharacteristic, complemented
341#3324C2×C13911yescharacteristic, complemented
342D4×D8C2×C13911yescharacteristic, complemented
343#3274C2×C13911yescharacteristic, complemented
344#1721C2×C13911yescharacteristic, complemented
345#1701C2×C13911yescharacteristic, complemented
346#1688C2×C13911yescharacteristic, complemented
347#1687C2×C13911yescharacteristic, complemented
348#1665C2×C13911yescharacteristic, complemented
349#1639C2×C13911yescharacteristic, complemented
350#1628C2×C13911yescharacteristic, complemented
351#1621C2×C13911yescharacteristic, complemented
352#1619C2×C13911yescharacteristic, complemented
353#1594C2×C13911yescharacteristic, complemented
354#1582C2×C13911yescharacteristic, complemented
355C2×AGL(1,ℤ/8)—21no—
356C22×D8—21no—
357#556C22×C13911yescharacteristic, complemented
358#550C22×C13911yescharacteristic, complemented
359D42C22×C13911yescharacteristic
360D42C22×C13911yescharacteristic
361#496—21no—
362#493C22×C13911yescharacteristic
363#493C22×C13911yescharacteristic, complemented
364#493C22×C13911yescharacteristic, complemented
365#492C22×C13911yescharacteristic, complemented
366#486C22×C13911yescharacteristic, complemented
367#486C22×C13911yescharacteristic, complemented
368#482—21no—
369#474C22×C13911yescharacteristic
370#469—21no—
371#468—21no—
372#466—21no—
373#463—21no—
374#461C22×C13911yescharacteristic, complemented
375#460—21no—
376#460C22×C13911yescharacteristic, complemented
377#460C22×C13911yescharacteristic, complemented
378#459C22×C13911yescharacteristic
379#459C22×C13911yescharacteristic
380#459C22×C13911yescharacteristic
381#459C22×C13911yescharacteristic, complemented
382#450—21no—
383#449—21no—
384#447—21no—
385#447—21no—
386#447—21no—
387#446C22×C13911yescharacteristic, complemented
388#440—21no—
389C4×SD16C22×C13911yescharacteristic
390C4×D8C22×C13911yescharacteristic
391#436C22×C13911yescharacteristic, complemented
392#436C22×C13911yescharacteristic, complemented
393C8×D4C22×C13911yescharacteristic
394#418—21no—
395#334C22×C13911yescharacteristic, complemented
396#334C22×C13911yescharacteristic, complemented
397#332C22×C13911yescharacteristic, complemented
398#331C22×C13911yescharacteristic, complemented
399#331C22×C13911yescharacteristic, complemented
400#331C22×C13911yescharacteristic, complemented
401Q8⋊C8C22×C13911yescharacteristic, complemented
402D4⋊C8C22×C13911yescharacteristic
403D4⋊C8C22×C13911yescharacteristic, complemented
404D4⋊C8C22×C13911yescharacteristic, complemented
405#322C22×C13911yescharacteristic, complemented
406C2×#41—21no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—21no—
411AGL(1,ℤ/8)—44no—
412C2×SD16—21no—
413C2×SD16—21no—
414C2×SD16—21no—
415C2×SD16—21no—
416C2×SD16—21no—
417C2×SD16D4×C13911yescharacteristic
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—21no—
423C2×D8—21no—
424C2×D8—21no—
425C2×D8—21no—
426C2×D8—41no—
427C2×D8—44no—
428C2×D8D4×C13911yescharacteristic
429C2×M16—21no—
430C2×M16—21no—
431C22×C8—21no—
432C4⋊Q8C23×C13911yescharacteristic
433#127—21no—
434#127C23×C13911yescharacteristic
435#127C23×C13911yescharacteristic
436#127C23×C13911yescharacteristic
437#126—41no—
438#124—21no—
439C22⋊Q8—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#121—21no—
444#121—21no—
445#121—41no—
446#120—41no—
447#120—41no—
448C4×Q8—21no—
449C4×Q8C23×C13911yescharacteristic
450C4×D4—21no—
451C4×D4C23×C13911yescharacteristic
452C4×D4C23×C13911yescharacteristic
453C4×D4C23×C13911yescharacteristic
454#117—21no—
455#107—21no—
456#107D4×C13911yescharacteristic
457#106D4×C13911yescharacteristic
458C4⋊C8—21no—
459C4⋊C8C23×C13911yescharacteristic
460C4⋊C8C23×C13911yescharacteristic
461C4⋊C8C23×C13911yescharacteristic
462C4⋊C8C23×C13911yescharacteristic
463#103—21no—
464#103D4×C13911yescharacteristic
465#102—21no—
466#102—21no—
467#102—21no—
468#102—21no—
469#102—21no—
470#102—21no—
471#102—21no—
472#102—21no—
473#102—21no—
474#102—41no—
475#102D4×C13911yescharacteristic
476#102D4×C13911yescharacteristic
477#102D4×C13911yescharacteristic
478C22⋊C8—21no—
479C22⋊C8—21no—
480C22⋊C8—21no—
481#97—21no—
482C4×C8C23×C13911yescharacteristic
483C4×C8C23×C13911yescharacteristic
484C4×C8C23×C13911yescharacteristic
485C24—41no—
486C24—41no—
487#41—42no—
488#41—81no—
489C2×Q8—21no—
490C2×Q8C2×D4×C13911yescharacteristic
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4C2×D4×C13911yescharacteristic
515C2×D4C2×D4×C13911yescharacteristic
516C2×D4C2×D4×C13911yescharacteristic
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521SD16—22no—
522SD16—42no—
523SD16—42no—
524SD16—81no—
525SD16—81no—
526SD16—81no—
527D8—22no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—42no—
532D8—42no—
533D8—81no—
534D8—81no—
535D8—81no—
536D8—82no—
537M16—42no—
538M16—81no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—42no—
545C2×C8C2×D4×C13911yescharacteristic
546C2×C8C2×D4×C13911yescharacteristic
547C2×C8C2×D4×C13911yescharacteristic
548C2×C8C2×D4×C13911yescharacteristic
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—41no—
553C4⋊C4C2×D4×C13911yescharacteristic
554C4⋊C4C2×D4×C13911yescharacteristic
555C4⋊C4C2×D4×C13911yescharacteristic
556C4⋊C4C2×D4×C13911yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C42—21no—
566C42—41no—
567C42C24×C13911yescharacteristic
568C23—21no—
569C23—21no—
570C23—21no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—82no—
575C23—82no—
576C23—82no—
577C23—82no—
578C23—161no—
579C23—161no—
580Q8—21no—
581Q8—21no—
582Q8—41no—
583Q8—41no—
584D4—21no—
585D4—21no—
586D4—21no—
587D4—21no—
588D4—21no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—41no—
601D4—81no—
602D4—81no—
603D4—81no—
604D4—82no—
605D4—82no—
606D4—82no—
607D4—82no—
608D4—82no—
609D4—161no—
610D4AGL(1,ℤ/8)×C13912yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—82no—
624C2×C4C22×D4×C13911yescharacteristic
625C2×C4C22×D4×C13911yescharacteristic
626C2×C4H(5,𝔽2)×C13911yescharacteristic
627C8—21no—
628C8—21no—
629C8—21no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C8AGL(1,ℤ/8)×C13912yescomplemented
636C22—22no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—164no—
655C22—164no—
656C22D42×C13911yescharacteristic
657C4—21no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—81no—
664C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
665C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
666C4#576×C13911yescharacteristic
667C4#576×C13911yescharacteristic
668C2—42no—
669C2—81no—
670C2—81no—
671C2—161no—
672C2—161no—
673C2—161no—
674C2#3264×C13911yescharacteristic
675C2#3274×C13911yescharacteristic
676C2#3288×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC42C24×C139
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C42×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3397×C139C2semidirect
2. #3324×C139C2semidirect
3. D4×D8×C139C2semidirect
4. #3274×C139C2semidirect
5. #1721×C139C2semidirect
6. #1701×C139C2semidirect
7. #1688×C139C2semidirect
8. #1687×C139C2semidirect
9. #1665×C139C2semidirect
10. #1639×C139C2semidirect
11. #1628×C139C2semidirect
12. #1621×C139C2semidirect
13. #1619×C139C2semidirect
14. #1594×C139C2semidirect
15. #1582×C139C2semidirect
18. #556×C139C22semidirect
19. #550×C139C22semidirect
24. #493×C139C22semidirect
25. #493×C139C22semidirect
26. #492×C139C22semidirect
27. #486×C139C22semidirect
28. #486×C139C22semidirect
35. #461×C139C22semidirect
37. #460×C139C22semidirect
38. #460×C139C22semidirect
42. #459×C139C22semidirect
48. #446×C139C22semidirect
52. #436×C139C22semidirect
53. #436×C139C22semidirect
56. #334×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #331×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
62. Q8⋊C8×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
296. C8×C139AGL(1,ℤ/8)semidirect
338. #20160C139direct (N × H)
339. C139#20160direct (N × H)
340. #3397C2×C139semidirect
341. #3324C2×C139semidirect
342. D4×D8C2×C139semidirect
343. #3274C2×C139semidirect
344. #1721C2×C139semidirect
345. #1701C2×C139semidirect
346. #1688C2×C139semidirect
347. #1687C2×C139semidirect
348. #1665C2×C139semidirect
349. #1639C2×C139semidirect
350. #1628C2×C139semidirect
351. #1621C2×C139semidirect
352. #1619C2×C139semidirect
353. #1594C2×C139semidirect
354. #1582C2×C139semidirect
357. #556C22×C139semidirect
358. #550C22×C139semidirect
363. #493C22×C139semidirect
364. #493C22×C139semidirect
365. #492C22×C139semidirect
366. #486C22×C139semidirect
367. #486C22×C139semidirect
374. #461C22×C139semidirect
376. #460C22×C139semidirect
377. #460C22×C139semidirect
381. #459C22×C139semidirect
387. #446C22×C139semidirect
391. #436C22×C139semidirect
392. #436C22×C139semidirect
395. #334C22×C139semidirect
396. #334C22×C139semidirect
397. #332C22×C139semidirect
398. #331C22×C139semidirect
399. #331C22×C139semidirect
400. #331C22×C139semidirect
401. Q8⋊C8C22×C139semidirect
403. D4⋊C8C22×C139semidirect
404. D4⋊C8C22×C139semidirect
405. #322C22×C139semidirect
635. C8AGL(1,ℤ/8)×C139semidirect

Maximal subgroups

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

subgroupindex
#3397×C1392
#3324×C1392
D4×D8×C1392
#3274×C1392
#1721×C1392
#1701×C1392
#1688×C1392
#1687×C1392
#1665×C1392
#1639×C1392
#1628×C1392
#1621×C1392
#1619×C1392
#1594×C1392
#1582×C1392
#20160139