Finite Group Databasebeta

← C139×#20158 #48014754

Subgroups — C139×#20158 #48014754

Order 35584.

754 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3354×C139C211yesmaximal, characteristic, complemented
2#3325×C139C211yesmaximal, characteristic, complemented
3D4×D8×C139C211yesmaximal, characteristic, complemented
4#3272×C139C211yesmaximal, characteristic, complemented
5#1715×C139C211yesmaximal, characteristic, complemented
6#1697×C139C211yesmaximal, characteristic, complemented
7#1687×C139C211yesmaximal, characteristic, complemented
8#1685×C139C211yesmaximal, characteristic, complemented
9#1671×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1629×C139C211yesmaximal, characteristic, complemented
12#1625×C139C211yesmaximal, characteristic, complemented
13#1624×C139C211yesmaximal, characteristic, complemented
14#1594×C139C211yesmaximal, characteristic, complemented
15#1581×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×D8×C139—21no—
18#555×C139C2211yescharacteristic, complemented
19#547×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#498×C139C2211yescharacteristic, complemented
23#493×C139C2211yescharacteristic
24#492×C139C2211yescharacteristic, complemented
25#492×C139C2211yescharacteristic, complemented
26#486×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#482×C139—21no—
29#482×C139—21no—
30#481×C139—21no—
31#476×C139C2211yescharacteristic
32#476×C139C2211yescharacteristic, complemented
33#474×C139C2211yescharacteristic, complemented
34#469×C139—21no—
35#469×C139—21no—
36#468×C139—21no—
37#466×C139—21no—
38#461×C139C2211yescharacteristic
39#459×C139C2211yescharacteristic
40#459×C139C2211yescharacteristic
41#459×C139C2211yescharacteristic, complemented
42#459×C139C2211yescharacteristic, complemented
43#450×C139—21no—
44#449×C139—21no—
45#447×C139—21no—
46#447×C139—21no—
47#447×C139—21no—
48C4×D8×C139C2211yescharacteristic
49C4×D8×C139C2211yescharacteristic
50#436×C139C2211yescharacteristic, complemented
51#436×C139C2211yescharacteristic, complemented
52#436×C139C2211yescharacteristic, complemented
53C8×D4×C139C2211yescharacteristic
54#428×C139—21no—
55#418×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#333×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#331×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic, complemented
62D4⋊C8×C139C2211yescharacteristic
63D4⋊C8×C139C2211yescharacteristic, complemented
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—41no—
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—44no—
84C2×D8×C139D411yescharacteristic
85C2×D8×C139D411yescharacteristic
86C2×M16×C139—21no—
87C2×M16×C139—21no—
88C2×M16×C139—21no—
89C22×C8×C139—21no—
90C4⋊Q8×C139C2311yescharacteristic
91C4⋊Q8×C139C2311yescharacteristic
92#127×C139C2311yescharacteristic
93#127×C139C2311yescharacteristic
94#124×C139—41no—
95#123×C139—41no—
96C22⋊Q8×C139—21no—
97#121×C139—21no—
98#121×C139—21no—
99#121×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#120×C139—41no—
105#120×C139—41no—
106C4×D4×C139C2311yescharacteristic
107C4×D4×C139C2311yescharacteristic
108C4×D4×C139C2311yescharacteristic
109C4×D4×C139C2311yescharacteristic
110#117×C139—21no—
111#117×C139—21no—
112C2×C4⋊C4×C139—21no—
113#107×C139—21no—
114#107×C139D411yescharacteristic
115#107×C139D411yescharacteristic
116#106×C139—21no—
117#106×C139—21no—
118#106×C139—21no—
119#106×C139—21no—
120C4⋊C8×C139C2311yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124#103×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—41no—
135#102×C139D411yescharacteristic
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138#102×C139D411yescharacteristic
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142C22⋊C8×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×C139—21no—
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—41no—
159C2×D4×C139—41no—
160C2×D4×C139—41no—
161C2×D4×C139—41no—
162C2×D4×C139—42no—
163C2×D4×C139—42no—
164C2×D4×C139—42no—
165C2×D4×C139—42no—
166C2×D4×C139—41no—
167C2×D4×C139—41no—
168C2×D4×C139—81no—
169C2×D4×C139—81no—
170C2×D4×C139—81no—
171C2×D4×C139—81no—
172C2×D4×C139C2×D411yescharacteristic
173C2×D4×C139C2×D411yescharacteristic
174C2×D4×C139C2×D411yescharacteristic
175C2×D4×C139C2×D411yescharacteristic
176C22×C4×C139—21no—
177C22×C4×C139—21no—
178C22×C4×C139—21no—
179C22×C4×C139—21no—
180C22×C4×C139—41no—
181SD16×C139—42no—
182SD16×C139—42no—
183SD16×C139—81no—
184SD16×C139—82no—
185D8×C139—22no—
186D8×C139—22no—
187D8×C139—42no—
188D8×C139—42no—
189D8×C139—42no—
190D8×C139—42no—
191D8×C139—81no—
192D8×C139—81no—
193M16×C139—42no—
194M16×C139—42no—
195M16×C139—81no—
196C2×C8×C139—21no—
197C2×C8×C139—21no—
198C2×C8×C139—21no—
199C2×C8×C139—21no—
200C2×C8×C139—21no—
201C2×C8×C139—42no—
202C2×C8×C139C2×D411yescharacteristic
203C2×C8×C139C2×D411yescharacteristic
204C2×C8×C139C2×D411yescharacteristic
205C2×C8×C139C2×D411yescharacteristic
206C4⋊C4×C139—21no—
207C4⋊C4×C139—21no—
208C4⋊C4×C139—21no—
209C4⋊C4×C139—21no—
210C4⋊C4×C139—41no—
211C4⋊C4×C139C2×D411yescharacteristic
212C4⋊C4×C139C2×D411yescharacteristic
213C4⋊C4×C139C2×D411yescharacteristic
214C4⋊C4×C139C2×D411yescharacteristic
215C22⋊C4×C139—21no—
216C22⋊C4×C139—21no—
217C22⋊C4×C139—21no—
218C22⋊C4×C139—21no—
219C22⋊C4×C139—41no—
220C22⋊C4×C139—41no—
221C22⋊C4×C139—41no—
222C22⋊C4×C139—41no—
223C22⋊C4×C139—41no—
224C42×C139—41no—
225C42×C139C2411yescharacteristic
226C23×C139—21no—
227C23×C139—21no—
228C23×C139—21no—
229C23×C139—21no—
230C23×C139—41no—
231C23×C139—41no—
232C23×C139—82no—
233C23×C139—82no—
234C23×C139—82no—
235C23×C139—82no—
236C23×C139—161no—
237C23×C139—161no—
238Q8×C139—41no—
239Q8×C139—41no—
240Q8×C139—81no—
241D4×C139—21no—
242D4×C139—21no—
243D4×C139—21no—
244D4×C139—21no—
245D4×C139—21no—
246D4×C139—21no—
247D4×C139—21no—
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—81no—
257D4×C139—81no—
258D4×C139—82no—
259D4×C139—82no—
260D4×C139—82no—
261D4×C139—82no—
262D4×C139—82no—
263D4×C139—161no—
264D4×C139AGL(1,ℤ/8)12yes—
265C2×C4×C139—21no—
266C2×C4×C139—21no—
267C2×C4×C139—21no—
268C2×C4×C139—21no—
269C2×C4×C139—41no—
270C2×C4×C139—41no—
271C2×C4×C139—41no—
272C2×C4×C139—41no—
273C2×C4×C139—41no—
274C2×C4×C139—41no—
275C2×C4×C139—41no—
276C2×C4×C139—41no—
277C2×C4×C139—41no—
278C2×C4×C139—41no—
279C2×C4×C139—82no—
280C2×C4×C139C22×D411yescharacteristic
281C2×C4×C139C22×D411yescharacteristic
282C2×C4×C139H(5,𝔽2)11yescharacteristic
283C8×C139—21no—
284C8×C139—21no—
285C8×C139—21no—
286C8×C139—41no—
287C8×C139—41no—
288C8×C139—41no—
289C8×C139—41no—
290C8×C139—41no—
291C8×C139AGL(1,ℤ/8)12yescomplemented
292C22×C139—22no—
293C22×C139—41no—
294C22×C139—41no—
295C22×C139—41no—
296C22×C139—41no—
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—164no—
311C22×C139—164no—
312C22×C139D4211yescharacteristic
313C4×C139—21no—
314C4×C139—41no—
315C4×C139—41no—
316C4×C139—41no—
317C4×C139—41no—
318C4×C139—81no—
319C4×C139—81no—
320C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
321C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
322C4×C139#57611yescharacteristic
323C4×C139#57711yescharacteristic
324C2×C139—42no—
325C2×C139—81no—
326C2×C139—81no—
327C2×C139—81no—
328C2×C139—161no—
329C2×C139—161no—
330C2×C139#326411yescharacteristic
331C2×C139#327211yescharacteristic
332C2×C139#328811yescharacteristic
333#20158C13911yesmaximal, characteristic, direct product factor, Sylow
334C139#2015811yescharacteristic, direct product factor, Sylow
335#3354C2×C13911yescharacteristic, complemented
336#3325C2×C13911yescharacteristic, complemented
337D4×D8C2×C13911yescharacteristic, complemented
338#3272C2×C13911yescharacteristic, complemented
339#1715C2×C13911yescharacteristic, complemented
340#1697C2×C13911yescharacteristic, complemented
341#1687C2×C13911yescharacteristic, complemented
342#1685C2×C13911yescharacteristic, complemented
343#1671C2×C13911yescharacteristic, complemented
344#1639C2×C13911yescharacteristic, complemented
345#1629C2×C13911yescharacteristic, complemented
346#1625C2×C13911yescharacteristic, complemented
347#1624C2×C13911yescharacteristic, complemented
348#1594C2×C13911yescharacteristic, complemented
349#1581C2×C13911yescharacteristic, complemented
350C2×AGL(1,ℤ/8)—21no—
351C22×D8—21no—
352#555C22×C13911yescharacteristic, complemented
353#547C22×C13911yescharacteristic, complemented
354D42C22×C13911yescharacteristic
355D42C22×C13911yescharacteristic
356#498C22×C13911yescharacteristic, complemented
357#493C22×C13911yescharacteristic
358#492C22×C13911yescharacteristic, complemented
359#492C22×C13911yescharacteristic, complemented
360#486C22×C13911yescharacteristic, complemented
361#486C22×C13911yescharacteristic, complemented
362#482—21no—
363#482—21no—
364#481—21no—
365#476C22×C13911yescharacteristic
366#476C22×C13911yescharacteristic, complemented
367#474C22×C13911yescharacteristic, complemented
368#469—21no—
369#469—21no—
370#468—21no—
371#466—21no—
372#461C22×C13911yescharacteristic
373#459C22×C13911yescharacteristic
374#459C22×C13911yescharacteristic
375#459C22×C13911yescharacteristic, complemented
376#459C22×C13911yescharacteristic, complemented
377#450—21no—
378#449—21no—
379#447—21no—
380#447—21no—
381#447—21no—
382C4×D8C22×C13911yescharacteristic
383C4×D8C22×C13911yescharacteristic
384#436C22×C13911yescharacteristic, complemented
385#436C22×C13911yescharacteristic, complemented
386#436C22×C13911yescharacteristic, complemented
387C8×D4C22×C13911yescharacteristic
388#428—21no—
389#418—21no—
390#335C22×C13911yescharacteristic, complemented
391#334C22×C13911yescharacteristic, complemented
392#333C22×C13911yescharacteristic, complemented
393#332C22×C13911yescharacteristic, complemented
394#331C22×C13911yescharacteristic, complemented
395#331C22×C13911yescharacteristic, complemented
396D4⋊C8C22×C13911yescharacteristic
397D4⋊C8C22×C13911yescharacteristic, complemented
398D4⋊C8C22×C13911yescharacteristic, complemented
399D4⋊C8C22×C13911yescharacteristic, complemented
400#322C22×C13911yescharacteristic, complemented
401C2×#41—21no—
402C22×D4—21no—
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—21no—
406AGL(1,ℤ/8)—44no—
407C2×SD16—21no—
408C2×SD16—21no—
409C2×SD16—21no—
410C2×SD16—41no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—21no—
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—21no—
417C2×D8—44no—
418C2×D8D4×C13911yescharacteristic
419C2×D8D4×C13911yescharacteristic
420C2×M16—21no—
421C2×M16—21no—
422C2×M16—21no—
423C22×C8—21no—
424C4⋊Q8C23×C13911yescharacteristic
425C4⋊Q8C23×C13911yescharacteristic
426#127C23×C13911yescharacteristic
427#127C23×C13911yescharacteristic
428#124—41no—
429#123—41no—
430C22⋊Q8—21no—
431#121—21no—
432#121—21no—
433#121—21no—
434#121—21no—
435#121—21no—
436#121—21no—
437#121—21no—
438#120—41no—
439#120—41no—
440C4×D4C23×C13911yescharacteristic
441C4×D4C23×C13911yescharacteristic
442C4×D4C23×C13911yescharacteristic
443C4×D4C23×C13911yescharacteristic
444#117—21no—
445#117—21no—
446C2×C4⋊C4—21no—
447#107—21no—
448#107D4×C13911yescharacteristic
449#107D4×C13911yescharacteristic
450#106—21no—
451#106—21no—
452#106—21no—
453#106—21no—
454C4⋊C8C23×C13911yescharacteristic
455C4⋊C8C23×C13911yescharacteristic
456C4⋊C8C23×C13911yescharacteristic
457C4⋊C8C23×C13911yescharacteristic
458#103—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—21no—
465#102—21no—
466#102—21no—
467#102—21no—
468#102—41no—
469#102D4×C13911yescharacteristic
470#102D4×C13911yescharacteristic
471#102D4×C13911yescharacteristic
472#102D4×C13911yescharacteristic
473C22⋊C8—21no—
474C22⋊C8—21no—
475C22⋊C8—21no—
476C22⋊C8—21no—
477C4×C8C23×C13911yescharacteristic
478C4×C8C23×C13911yescharacteristic
479C4×C8C23×C13911yescharacteristic
480C24—41no—
481C24—41no—
482#41—42no—
483#41—81no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—81no—
503C2×D4—81no—
504C2×D4—81no—
505C2×D4—81no—
506C2×D4C2×D4×C13911yescharacteristic
507C2×D4C2×D4×C13911yescharacteristic
508C2×D4C2×D4×C13911yescharacteristic
509C2×D4C2×D4×C13911yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—41no—
515SD16—42no—
516SD16—42no—
517SD16—81no—
518SD16—82no—
519D8—22no—
520D8—22no—
521D8—42no—
522D8—42no—
523D8—42no—
524D8—42no—
525D8—81no—
526D8—81no—
527M16—42no—
528M16—42no—
529M16—81no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—42no—
536C2×C8C2×D4×C13911yescharacteristic
537C2×C8C2×D4×C13911yescharacteristic
538C2×C8C2×D4×C13911yescharacteristic
539C2×C8C2×D4×C13911yescharacteristic
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—41no—
545C4⋊C4C2×D4×C13911yescharacteristic
546C4⋊C4C2×D4×C13911yescharacteristic
547C4⋊C4C2×D4×C13911yescharacteristic
548C4⋊C4C2×D4×C13911yescharacteristic
549C22⋊C4—21no—
550C22⋊C4—21no—
551C22⋊C4—21no—
552C22⋊C4—21no—
553C22⋊C4—41no—
554C22⋊C4—41no—
555C22⋊C4—41no—
556C22⋊C4—41no—
557C22⋊C4—41no—
558C42—41no—
559C42C24×C13911yescharacteristic
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—41no—
565C23—41no—
566C23—82no—
567C23—82no—
568C23—82no—
569C23—82no—
570C23—161no—
571C23—161no—
572Q8—41no—
573Q8—41no—
574Q8—81no—
575D4—21no—
576D4—21no—
577D4—21no—
578D4—21no—
579D4—21no—
580D4—21no—
581D4—21no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—81no—
591D4—81no—
592D4—82no—
593D4—82no—
594D4—82no—
595D4—82no—
596D4—82no—
597D4—161no—
598D4AGL(1,ℤ/8)×C13912yes—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—82no—
614C2×C4C22×D4×C13911yescharacteristic
615C2×C4C22×D4×C13911yescharacteristic
616C2×C4H(5,𝔽2)×C13911yescharacteristic
617C8—21no—
618C8—21no—
619C8—21no—
620C8—41no—
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C8AGL(1,ℤ/8)×C13912yescomplemented
626C22—22no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—164no—
645C22—164no—
646C22D42×C13911yescharacteristic
647C4—21no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
655C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
656C4#576×C13911yescharacteristic
657C4#577×C13911yescharacteristic
658C2—42no—
659C2—81no—
660C2—81no—
661C2—81no—
662C2—161no—
663C2—161no—
664C2#3264×C13911yescharacteristic
665C2#3272×C13911yescharacteristic
666C2#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. #3354×C139C2semidirect
2. #3325×C139C2semidirect
3. D4×D8×C139C2semidirect
4. #3272×C139C2semidirect
5. #1715×C139C2semidirect
6. #1697×C139C2semidirect
7. #1687×C139C2semidirect
8. #1685×C139C2semidirect
9. #1671×C139C2semidirect
10. #1639×C139C2semidirect
11. #1629×C139C2semidirect
12. #1625×C139C2semidirect
13. #1624×C139C2semidirect
14. #1594×C139C2semidirect
15. #1581×C139C2semidirect
18. #555×C139C22semidirect
19. #547×C139C22semidirect
22. #498×C139C22semidirect
24. #492×C139C22semidirect
25. #492×C139C22semidirect
26. #486×C139C22semidirect
27. #486×C139C22semidirect
32. #476×C139C22semidirect
33. #474×C139C22semidirect
41. #459×C139C22semidirect
42. #459×C139C22semidirect
50. #436×C139C22semidirect
51. #436×C139C22semidirect
52. #436×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #333×C139C22semidirect
59. #332×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
63. D4⋊C8×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
291. C8×C139AGL(1,ℤ/8)semidirect
333. #20158C139direct (N × H)
334. C139#20158direct (N × H)
335. #3354C2×C139semidirect
336. #3325C2×C139semidirect
337. D4×D8C2×C139semidirect
338. #3272C2×C139semidirect
339. #1715C2×C139semidirect
340. #1697C2×C139semidirect
341. #1687C2×C139semidirect
342. #1685C2×C139semidirect
343. #1671C2×C139semidirect
344. #1639C2×C139semidirect
345. #1629C2×C139semidirect
346. #1625C2×C139semidirect
347. #1624C2×C139semidirect
348. #1594C2×C139semidirect
349. #1581C2×C139semidirect
352. #555C22×C139semidirect
353. #547C22×C139semidirect
356. #498C22×C139semidirect
358. #492C22×C139semidirect
359. #492C22×C139semidirect
360. #486C22×C139semidirect
361. #486C22×C139semidirect
366. #476C22×C139semidirect
367. #474C22×C139semidirect
375. #459C22×C139semidirect
376. #459C22×C139semidirect
384. #436C22×C139semidirect
385. #436C22×C139semidirect
386. #436C22×C139semidirect
390. #335C22×C139semidirect
391. #334C22×C139semidirect
392. #333C22×C139semidirect
393. #332C22×C139semidirect
394. #331C22×C139semidirect
395. #331C22×C139semidirect
397. D4⋊C8C22×C139semidirect
398. D4⋊C8C22×C139semidirect
399. D4⋊C8C22×C139semidirect
400. #322C22×C139semidirect
625. 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
#3354×C1392
#3325×C1392
D4×D8×C1392
#3272×C1392
#1715×C1392
#1697×C1392
#1687×C1392
#1685×C1392
#1671×C1392
#1639×C1392
#1629×C1392
#1625×C1392
#1624×C1392
#1594×C1392
#1581×C1392
#20158139