Finite Group Databasebeta

← C139×#20024 #48014620

Subgroups — C139×#20024 #48014620

Order 35584.

768 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3366×C139C211yesmaximal, characteristic, complemented
2#3295×C139C211yesmaximal, characteristic, complemented
3D4×D8×C139C211yesmaximal, characteristic, complemented
4#3274×C139C211yesmaximal, characteristic, complemented
5#1721×C139C211yesmaximal, characteristic, complemented
6#1697×C139C211yesmaximal, characteristic, complemented
7#1688×C139C211yesmaximal, characteristic, complemented
8#1677×C139C211yesmaximal, characteristic, complemented
9#1667×C139C211yesmaximal, characteristic, complemented
10#1629×C139C211yesmaximal, characteristic, complemented
11#1622×C139C211yesmaximal, characteristic, complemented
12#1621×C139C211yesmaximal, characteristic, complemented
13#1619×C139C211yesmaximal, characteristic, complemented
14#1586×C139C211yesmaximal, characteristic, complemented
15#1585×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×D8×C139—21no—
18#554×C139C2211yescharacteristic, complemented
19#550×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#493×C139C2211yescharacteristic
23#493×C139C2211yescharacteristic, complemented
24#493×C139C2211yescharacteristic, complemented
25#492×C139C2211yescharacteristic, complemented
26#490×C139—21no—
27#486×C139C2211yescharacteristic, complemented
28#486×C139C2211yescharacteristic, complemented
29#481×C139—21no—
30#478×C139—21no—
31#476×C139C2211yescharacteristic
32#476×C139C2211yescharacteristic, complemented
33#469×C139—21no—
34#466×C139—21no—
35#465×C139—21no—
36#460×C139C2211yescharacteristic, complemented
37#460×C139C2211yescharacteristic, complemented
38#459×C139—21no—
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#442×C139—21no—
50C4×SD16×C139C2211yescharacteristic
51C4×D8×C139C2211yescharacteristic
52#436×C139C2211yescharacteristic, complemented
53C8×D4×C139C2211yescharacteristic
54C8×D4×C139C2211yescharacteristic, complemented
55C2×#102×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#333×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—41no—
76C2×SD16×C139D411yescharacteristic
77C2×D8×C139—21no—
78C2×D8×C139—21no—
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—41no—
86C2×D8×C139—44no—
87C2×D8×C139D411yescharacteristic
88C2×M16×C139—21no—
89C22×C8×C139—21no—
90C22×C8×C139—21no—
91C4⋊Q8×C139C2311yescharacteristic
92#127×C139—21no—
93#127×C139C2311yescharacteristic
94#127×C139C2311yescharacteristic
95#127×C139C2311yescharacteristic
96#125×C139—21no—
97C22⋊Q8×C139—21no—
98C22⋊Q8×C139—41no—
99#121×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—41no—
105#120×C139—41no—
106#120×C139—41no—
107C4×Q8×C139C2311yescharacteristic
108C4×D4×C139—21no—
109C4×D4×C139—21no—
110C4×D4×C139C2311yescharacteristic
111C4×D4×C139C2311yescharacteristic
112C4×D4×C139C2311yescharacteristic
113C2×C4⋊C4×C139—21no—
114#107×C139D411yescharacteristic
115#106×C139—21no—
116#106×C139—21no—
117#106×C139D411yescharacteristic
118C4⋊C8×C139—21no—
119C4⋊C8×C139C2311yescharacteristic
120C4⋊C8×C139C2311yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123#103×C139D411yescharacteristic
124#102×C139—21no—
125#102×C139—21no—
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—21no—
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—
182C22×C4×C139—41no—
183SD16×C139—22no—
184SD16×C139—42no—
185SD16×C139—82no—
186SD16×C139—81no—
187D8×C139—22no—
188D8×C139—42no—
189D8×C139—42no—
190D8×C139—42no—
191D8×C139—42no—
192D8×C139—42no—
193D8×C139—42no—
194D8×C139—81no—
195D8×C139—81no—
196D8×C139—82no—
197M16×C139—42no—
198C2×C8×C139—21no—
199C2×C8×C139—21no—
200C2×C8×C139—21no—
201C2×C8×C139—21no—
202C2×C8×C139—21no—
203C2×C8×C139—42no—
204C2×C8×C139—81no—
205C2×C8×C139C2×D411yescharacteristic
206C2×C8×C139C2×D411yescharacteristic
207C2×C8×C139C2×D411yescharacteristic
208C2×C8×C139C2×D411yescharacteristic
209C4⋊C4×C139—21no—
210C4⋊C4×C139—21no—
211C4⋊C4×C139—21no—
212C4⋊C4×C139—41no—
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—
225C42×C139—21no—
226C42×C139C2411yescharacteristic
227C23×C139—21no—
228C23×C139—21no—
229C23×C139—21no—
230C23×C139—41no—
231C23×C139—41no—
232C23×C139—41no—
233C23×C139—82no—
234C23×C139—82no—
235C23×C139—82no—
236C23×C139—82no—
237C23×C139—161no—
238C23×C139—161no—
239Q8×C139—21no—
240Q8×C139—21no—
241Q8×C139—81no—
242D4×C139—21no—
243D4×C139—21no—
244D4×C139—21no—
245D4×C139—21no—
246D4×C139—41no—
247D4×C139—41no—
248D4×C139—41no—
249D4×C139—41no—
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—81no—
259D4×C139—81no—
260D4×C139—81no—
261D4×C139—82no—
262D4×C139—82no—
263D4×C139—82no—
264D4×C139—82no—
265D4×C139—82no—
266D4×C139—161no—
267D4×C139AGL(1,ℤ/8)12yes—
268D4×C139AGL(1,ℤ/8)12yescomplemented
269C2×C4×C139—21no—
270C2×C4×C139—21no—
271C2×C4×C139—21no—
272C2×C4×C139—21no—
273C2×C4×C139—21no—
274C2×C4×C139—41no—
275C2×C4×C139—41no—
276C2×C4×C139—41no—
277C2×C4×C139—41no—
278C2×C4×C139—41no—
279C2×C4×C139—41no—
280C2×C4×C139—41no—
281C2×C4×C139—82no—
282C2×C4×C139—161no—
283C2×C4×C139C22×D411yescharacteristic
284C2×C4×C139C22×D411yescharacteristic
285C2×C4×C139H(5,𝔽2)11yescharacteristic
286C8×C139—22no—
287C8×C139—21no—
288C8×C139—21no—
289C8×C139—21no—
290C8×C139—21no—
291C8×C139—41no—
292C8×C139—41no—
293C8×C139—41no—
294C8×C139—41no—
295C22×C139—22no—
296C22×C139—22no—
297C22×C139—41no—
298C22×C139—41no—
299C22×C139—41no—
300C22×C139—41no—
301C22×C139—41no—
302C22×C139—41no—
303C22×C139—41no—
304C22×C139—81no—
305C22×C139—81no—
306C22×C139—81no—
307C22×C139—81no—
308C22×C139—81no—
309C22×C139—81no—
310C22×C139—81no—
311C22×C139—81no—
312C22×C139—81no—
313C22×C139—164no—
314C22×C139—164no—
315C22×C139D4211yescharacteristic
316C4×C139—21no—
317C4×C139—41no—
318C4×C139—41no—
319C4×C139—41no—
320C4×C139—41no—
321C4×C139—41no—
322C4×C139—81no—
323C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
324C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
325C4×C139#57611yescharacteristic
326C4×C139#57711yescharacteristic
327C2×C139—42no—
328C2×C139—42no—
329C2×C139—81no—
330C2×C139—161no—
331C2×C139—161no—
332C2×C139—161no—
333C2×C139#326411yescharacteristic
334C2×C139#326511yescharacteristic
335C2×C139#329211yescharacteristic
336#20024C13911yesmaximal, characteristic, direct product factor, Sylow
337C139#2002411yescharacteristic, direct product factor, Sylow
338#3366C2×C13911yescharacteristic, complemented
339#3295C2×C13911yescharacteristic, complemented
340D4×D8C2×C13911yescharacteristic, complemented
341#3274C2×C13911yescharacteristic, complemented
342#1721C2×C13911yescharacteristic, complemented
343#1697C2×C13911yescharacteristic, complemented
344#1688C2×C13911yescharacteristic, complemented
345#1677C2×C13911yescharacteristic, complemented
346#1667C2×C13911yescharacteristic, complemented
347#1629C2×C13911yescharacteristic, complemented
348#1622C2×C13911yescharacteristic, complemented
349#1621C2×C13911yescharacteristic, complemented
350#1619C2×C13911yescharacteristic, complemented
351#1586C2×C13911yescharacteristic, complemented
352#1585C2×C13911yescharacteristic, complemented
353C2×AGL(1,ℤ/8)—21no—
354C22×D8—21no—
355#554C22×C13911yescharacteristic, complemented
356#550C22×C13911yescharacteristic, complemented
357D42C22×C13911yescharacteristic
358D42C22×C13911yescharacteristic
359#493C22×C13911yescharacteristic
360#493C22×C13911yescharacteristic, complemented
361#493C22×C13911yescharacteristic, complemented
362#492C22×C13911yescharacteristic, complemented
363#490—21no—
364#486C22×C13911yescharacteristic, complemented
365#486C22×C13911yescharacteristic, complemented
366#481—21no—
367#478—21no—
368#476C22×C13911yescharacteristic
369#476C22×C13911yescharacteristic, complemented
370#469—21no—
371#466—21no—
372#465—21no—
373#460C22×C13911yescharacteristic, complemented
374#460C22×C13911yescharacteristic, complemented
375#459—21no—
376#459C22×C13911yescharacteristic
377#459C22×C13911yescharacteristic
378#459C22×C13911yescharacteristic
379#459C22×C13911yescharacteristic, complemented
380#450—21no—
381#449—21no—
382#447—21no—
383#447—21no—
384#447—21no—
385#446C22×C13911yescharacteristic, complemented
386#442—21no—
387C4×SD16C22×C13911yescharacteristic
388C4×D8C22×C13911yescharacteristic
389#436C22×C13911yescharacteristic, complemented
390C8×D4C22×C13911yescharacteristic
391C8×D4C22×C13911yescharacteristic, complemented
392C2×#102—21no—
393#335C22×C13911yescharacteristic, complemented
394#334C22×C13911yescharacteristic, complemented
395#333C22×C13911yescharacteristic, complemented
396#331C22×C13911yescharacteristic, complemented
397#331C22×C13911yescharacteristic, complemented
398#331C22×C13911yescharacteristic, complemented
399Q8⋊C8C22×C13911yescharacteristic, complemented
400D4⋊C8C22×C13911yescharacteristic
401D4⋊C8C22×C13911yescharacteristic, complemented
402D4⋊C8C22×C13911yescharacteristic, complemented
403#322C22×C13911yescharacteristic, complemented
404C2×#41—21no—
405C22×D4—21no—
406C22×D4—21no—
407C22×D4—21no—
408C22×D4—21no—
409AGL(1,ℤ/8)—44no—
410C2×SD16—21no—
411C2×SD16—21no—
412C2×SD16—41no—
413C2×SD16D4×C13911yescharacteristic
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—21no—
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—41no—
423C2×D8—44no—
424C2×D8D4×C13911yescharacteristic
425C2×M16—21no—
426C22×C8—21no—
427C22×C8—21no—
428C4⋊Q8C23×C13911yescharacteristic
429#127—21no—
430#127C23×C13911yescharacteristic
431#127C23×C13911yescharacteristic
432#127C23×C13911yescharacteristic
433#125—21no—
434C22⋊Q8—21no—
435C22⋊Q8—41no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—41no—
442#120—41no—
443#120—41no—
444C4×Q8C23×C13911yescharacteristic
445C4×D4—21no—
446C4×D4—21no—
447C4×D4C23×C13911yescharacteristic
448C4×D4C23×C13911yescharacteristic
449C4×D4C23×C13911yescharacteristic
450C2×C4⋊C4—21no—
451#107D4×C13911yescharacteristic
452#106—21no—
453#106—21no—
454#106D4×C13911yescharacteristic
455C4⋊C8—21no—
456C4⋊C8C23×C13911yescharacteristic
457C4⋊C8C23×C13911yescharacteristic
458C4⋊C8C23×C13911yescharacteristic
459C4⋊C8C23×C13911yescharacteristic
460#103D4×C13911yescharacteristic
461#102—21no—
462#102—21no—
463#102—21no—
464#102—21no—
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#102D4×C13911yescharacteristic
474#102D4×C13911yescharacteristic
475#102D4×C13911yescharacteristic
476C22⋊C8—21no—
477C22⋊C8—21no—
478C22⋊C8—21no—
479#97—21no—
480C4×C8C23×C13911yescharacteristic
481C4×C8C23×C13911yescharacteristic
482C4×C8C23×C13911yescharacteristic
483C24—41no—
484C24—41no—
485#41—42no—
486#41—81no—
487C2×Q8—21no—
488C2×Q8C2×D4×C13911yescharacteristic
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×D4×C13911yescharacteristic
513C2×D4C2×D4×C13911yescharacteristic
514C2×D4C2×D4×C13911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—41no—
519C22×C4—41no—
520SD16—22no—
521SD16—42no—
522SD16—82no—
523SD16—81no—
524D8—22no—
525D8—42no—
526D8—42no—
527D8—42no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—81no—
532D8—81no—
533D8—82no—
534M16—42no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—42no—
541C2×C8—81no—
542C2×C8C2×D4×C13911yescharacteristic
543C2×C8C2×D4×C13911yescharacteristic
544C2×C8C2×D4×C13911yescharacteristic
545C2×C8C2×D4×C13911yescharacteristic
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4C2×D4×C13911yescharacteristic
552C4⋊C4C2×D4×C13911yescharacteristic
553C4⋊C4C2×D4×C13911yescharacteristic
554C4⋊C4C2×D4×C13911yescharacteristic
555C22⋊C4—21no—
556C22⋊C4—21no—
557C22⋊C4—21no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—41no—
562C42—21no—
563C42C24×C13911yescharacteristic
564C23—21no—
565C23—21no—
566C23—21no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—82no—
571C23—82no—
572C23—82no—
573C23—82no—
574C23—161no—
575C23—161no—
576Q8—21no—
577Q8—21no—
578Q8—81no—
579D4—21no—
580D4—21no—
581D4—21no—
582D4—21no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—81no—
596D4—81no—
597D4—81no—
598D4—82no—
599D4—82no—
600D4—82no—
601D4—82no—
602D4—82no—
603D4—161no—
604D4AGL(1,ℤ/8)×C13912yes—
605D4AGL(1,ℤ/8)×C13912yescomplemented
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—82no—
619C2×C4—161no—
620C2×C4C22×D4×C13911yescharacteristic
621C2×C4C22×D4×C13911yescharacteristic
622C2×C4H(5,𝔽2)×C13911yescharacteristic
623C8—22no—
624C8—21no—
625C8—21no—
626C8—21no—
627C8—21no—
628C8—41no—
629C8—41no—
630C8—41no—
631C8—41no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—164no—
651C22—164no—
652C22D42×C13911yescharacteristic
653C4—21no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—81no—
660C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
661C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
662C4#576×C13911yescharacteristic
663C4#577×C13911yescharacteristic
664C2—42no—
665C2—42no—
666C2—81no—
667C2—161no—
668C2—161no—
669C2—161no—
670C2#3264×C13911yescharacteristic
671C2#3265×C13911yescharacteristic
672C2#3292×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. #3366×C139C2semidirect
2. #3295×C139C2semidirect
3. D4×D8×C139C2semidirect
4. #3274×C139C2semidirect
5. #1721×C139C2semidirect
6. #1697×C139C2semidirect
7. #1688×C139C2semidirect
8. #1677×C139C2semidirect
9. #1667×C139C2semidirect
10. #1629×C139C2semidirect
11. #1622×C139C2semidirect
12. #1621×C139C2semidirect
13. #1619×C139C2semidirect
14. #1586×C139C2semidirect
15. #1585×C139C2semidirect
18. #554×C139C22semidirect
19. #550×C139C22semidirect
23. #493×C139C22semidirect
24. #493×C139C22semidirect
25. #492×C139C22semidirect
27. #486×C139C22semidirect
28. #486×C139C22semidirect
32. #476×C139C22semidirect
36. #460×C139C22semidirect
37. #460×C139C22semidirect
42. #459×C139C22semidirect
48. #446×C139C22semidirect
52. #436×C139C22semidirect
54. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #333×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
268. D4×C139AGL(1,ℤ/8)semidirect
336. #20024C139direct (N × H)
337. C139#20024direct (N × H)
338. #3366C2×C139semidirect
339. #3295C2×C139semidirect
340. D4×D8C2×C139semidirect
341. #3274C2×C139semidirect
342. #1721C2×C139semidirect
343. #1697C2×C139semidirect
344. #1688C2×C139semidirect
345. #1677C2×C139semidirect
346. #1667C2×C139semidirect
347. #1629C2×C139semidirect
348. #1622C2×C139semidirect
349. #1621C2×C139semidirect
350. #1619C2×C139semidirect
351. #1586C2×C139semidirect
352. #1585C2×C139semidirect
355. #554C22×C139semidirect
356. #550C22×C139semidirect
360. #493C22×C139semidirect
361. #493C22×C139semidirect
362. #492C22×C139semidirect
364. #486C22×C139semidirect
365. #486C22×C139semidirect
369. #476C22×C139semidirect
373. #460C22×C139semidirect
374. #460C22×C139semidirect
379. #459C22×C139semidirect
385. #446C22×C139semidirect
389. #436C22×C139semidirect
391. C8×D4C22×C139semidirect
393. #335C22×C139semidirect
394. #334C22×C139semidirect
395. #333C22×C139semidirect
396. #331C22×C139semidirect
397. #331C22×C139semidirect
398. #331C22×C139semidirect
399. Q8⋊C8C22×C139semidirect
401. D4⋊C8C22×C139semidirect
402. D4⋊C8C22×C139semidirect
403. #322C22×C139semidirect
605. D4AGL(1,ℤ/8)×C139semidirect

Maximal subgroups

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

subgroupindex
#3366×C1392
#3295×C1392
D4×D8×C1392
#3274×C1392
#1721×C1392
#1697×C1392
#1688×C1392
#1677×C1392
#1667×C1392
#1629×C1392
#1622×C1392
#1621×C1392
#1619×C1392
#1586×C1392
#1585×C1392
#20024139