Finite Group Databasebeta

← C139×#20192 #48014788

Subgroups — C139×#20192 #48014788

Order 35584.

732 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3399×C139C211yesmaximal, characteristic, complemented
2#3373×C139C211yesmaximal, characteristic, complemented
3D4×SD16×C139C211yesmaximal, characteristic, complemented
4#3274×C139C211yesmaximal, characteristic, complemented
5#1721×C139C211yesmaximal, characteristic, complemented
6#1701×C139C211yesmaximal, characteristic, complemented
7#1688×C139C211yesmaximal, characteristic, complemented
8#1686×C139C211yesmaximal, characteristic, complemented
9#1667×C139C211yesmaximal, characteristic, complemented
10#1642×C139C211yesmaximal, characteristic, complemented
11#1627×C139C211yesmaximal, characteristic, complemented
12#1620×C139C211yesmaximal, characteristic, complemented
13#1619×C139C211yesmaximal, characteristic, complemented
14#1592×C139C211yesmaximal, characteristic, complemented
15#1582×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×SD16×C139—21no—
18#559×C139C2211yescharacteristic, complemented
19#550×C139C2211yescharacteristic
20D4×Q8×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#496×C139—21no—
23#493×C139C2211yescharacteristic
24#493×C139C2211yescharacteristic
25#493×C139C2211yescharacteristic, complemented
26#492×C139C2211yescharacteristic
27#489×C139—21no—
28#486×C139C2211yescharacteristic, complemented
29#486×C139C2211yescharacteristic, complemented
30#476×C139—21no—
31#475×C139C2211yescharacteristic, complemented
32#469×C139—21no—
33#465×C139—21no—
34#463×C139—21no—
35#463×C139—21no—
36#461×C139C2211yescharacteristic
37#460×C139C2211yescharacteristic
38#460×C139C2211yescharacteristic
39#460×C139C2211yescharacteristic, complemented
40#459×C139—21no—
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic
43#459×C139C2211yescharacteristic
44#450×C139—21no—
45#449×C139—21no—
46#448×C139—21no—
47#447×C139—21no—
48#446×C139C2211yescharacteristic, complemented
49#446×C139C2211yescharacteristic, complemented
50#442×C139—21no—
51#442×C139—21no—
52C4×SD16×C139C2211yescharacteristic
53C4×SD16×C139C2211yescharacteristic
54#436×C139C2211yescharacteristic
55C8×D4×C139C2211yescharacteristic
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#331×C139C2211yescharacteristic
60#331×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic, complemented
62Q8⋊C8×C139C2211yescharacteristic, complemented
63Q8⋊C8×C139C2211yescharacteristic, complemented
64D4⋊C8×C139C2211yescharacteristic
65D4⋊C8×C139C2211yescharacteristic
66#322×C139C2211yescharacteristic, complemented
67C2×#41×C139—21no—
68C22×Q8×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71AGL(1,ℤ/8)×C139—44no—
72C2×SD16×C139—21no—
73C2×SD16×C139—21no—
74C2×SD16×C139—21no—
75C2×SD16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×C139—21no—
78C2×SD16×C139—44no—
79C2×SD16×C139D411yescharacteristic
80C2×SD16×C139D411yescharacteristic
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—21no—
88C2×D8×C139—41no—
89C2×M16×C139—21no—
90C22×C8×C139—21no—
91C4⋊Q8×C139—21no—
92C4⋊Q8×C139C2311yescharacteristic
93#127×C139—21no—
94#127×C139C2311yescharacteristic
95#127×C139C2311yescharacteristic
96#127×C139C2311yescharacteristic
97#124×C139—21no—
98#124×C139—21no—
99#123×C139—41no—
100C22⋊Q8×C139—21no—
101C22⋊Q8×C139—41no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—21no—
105#121×C139—41no—
106#120×C139—41no—
107C4×Q8×C139C2311yescharacteristic
108C4×Q8×C139C2311yescharacteristic
109C4×D4×C139—21no—
110C4×D4×C139—21no—
111C4×D4×C139—21no—
112C4×D4×C139—21no—
113C4×D4×C139C2311yescharacteristic
114C4×D4×C139C2311yescharacteristic
115#106×C139—21no—
116#106×C139D411yescharacteristic
117#106×C139D411yescharacteristic
118C4⋊C8×C139—21no—
119C4⋊C8×C139—21no—
120C4⋊C8×C139C2311yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124#103×C139—21no—
125#103×C139—21no—
126#103×C139D411yescharacteristic
127#103×C139D411yescharacteristic
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×C139—41no—
137#102×C139D411yescharacteristic
138#102×C139D411yescharacteristic
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141#97×C139—21no—
142#97×C139—21no—
143C4×C8×C139C2311yescharacteristic
144C4×C8×C139C2311yescharacteristic
145C4×C8×C139C2311yescharacteristic
146C24×C139—41no—
147#41×C139—42no—
148#41×C139—81no—
149C2×Q8×C139—21no—
150C2×Q8×C139—41no—
151C2×Q8×C139—42no—
152C2×Q8×C139—81no—
153C2×Q8×C139C2×D411yescharacteristic
154C2×Q8×C139C2×D411yescharacteristic
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—21no—
162C2×D4×C139—21no—
163C2×D4×C139—21no—
164C2×D4×C139—41no—
165C2×D4×C139—41no—
166C2×D4×C139—41no—
167C2×D4×C139—41no—
168C2×D4×C139—42no—
169C2×D4×C139—42no—
170C2×D4×C139—81no—
171C2×D4×C139—81no—
172C2×D4×C139C2×D411yescharacteristic
173C2×D4×C139C2×D411yescharacteristic
174C22×C4×C139—21no—
175C22×C4×C139—21no—
176C22×C4×C139—41no—
177C22×C4×C139—41no—
178C22×C4×C139—41no—
179SD16×C139—22no—
180SD16×C139—22no—
181SD16×C139—42no—
182SD16×C139—42no—
183SD16×C139—42no—
184SD16×C139—42no—
185SD16×C139—81no—
186SD16×C139—81no—
187D8×C139—42no—
188D8×C139—42no—
189D8×C139—42no—
190D8×C139—42no—
191D8×C139—81no—
192D8×C139—81no—
193D8×C139—81no—
194D8×C139—82no—
195M16×C139—42no—
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—41no—
218C22⋊C4×C139—41no—
219C22⋊C4×C139—41no—
220C22⋊C4×C139—41no—
221C22⋊C4×C139—41no—
222C22⋊C4×C139—41no—
223C42×C139—21no—
224C42×C139—21no—
225C42×C139C2411yescharacteristic
226C23×C139—21no—
227C23×C139—21no—
228C23×C139—41no—
229C23×C139—41no—
230C23×C139—41no—
231C23×C139—82no—
232C23×C139—82no—
233C23×C139—161no—
234Q8×C139—21no—
235Q8×C139—21no—
236Q8×C139—21no—
237Q8×C139—21no—
238Q8×C139—41no—
239Q8×C139—41no—
240Q8×C139—82no—
241D4×C139—21no—
242D4×C139—21no—
243D4×C139—21no—
244D4×C139—41no—
245D4×C139—41no—
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—81no—
257D4×C139—81no—
258D4×C139—81no—
259D4×C139—82no—
260D4×C139—82no—
261D4×C139—82no—
262D4×C139—161no—
263D4×C139AGL(1,ℤ/8)12yes—
264C2×C4×C139—21no—
265C2×C4×C139—21no—
266C2×C4×C139—21no—
267C2×C4×C139—21no—
268C2×C4×C139—21no—
269C2×C4×C139—21no—
270C2×C4×C139—41no—
271C2×C4×C139—41no—
272C2×C4×C139—41no—
273C2×C4×C139—41no—
274C2×C4×C139—41no—
275C2×C4×C139—82no—
276C2×C4×C139—82no—
277C2×C4×C139—161no—
278C2×C4×C139C22×D411yescharacteristic
279C2×C4×C139C22×D411yescharacteristic
280C2×C4×C139H(5,𝔽2)11yescharacteristic
281C8×C139—21no—
282C8×C139—21no—
283C8×C139—21no—
284C8×C139—41no—
285C8×C139—41no—
286C8×C139—41no—
287C8×C139—41no—
288C8×C139—41no—
289C8×C139AGL(1,ℤ/8)12yescomplemented
290C22×C139—22no—
291C22×C139—41no—
292C22×C139—41no—
293C22×C139—41no—
294C22×C139—41no—
295C22×C139—41no—
296C22×C139—81no—
297C22×C139—81no—
298C22×C139—81no—
299C22×C139—81no—
300C22×C139—81no—
301C22×C139—81no—
302C22×C139—81no—
303C22×C139—81no—
304C22×C139—81no—
305C22×C139—164no—
306C22×C139D4211yescharacteristic
307C4×C139—21no—
308C4×C139—41no—
309C4×C139—41no—
310C4×C139—41no—
311C4×C139—41no—
312C4×C139—41no—
313C4×C139—41no—
314C4×C139—81no—
315C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
316C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
317C4×C139#57611yescharacteristic
318C4×C139#57711yescharacteristic
319C2×C139—42no—
320C2×C139—81no—
321C2×C139—161no—
322C2×C139—161no—
323C2×C139—161no—
324C2×C139#326511yescharacteristic
325C2×C139#327411yescharacteristic
326C2×C139#328811yescharacteristic
327#20192C13911yesmaximal, characteristic, direct product factor, Sylow
328C139#2019211yescharacteristic, direct product factor, Sylow
329#3399C2×C13911yescharacteristic, complemented
330#3373C2×C13911yescharacteristic, complemented
331D4×SD16C2×C13911yescharacteristic, complemented
332#3274C2×C13911yescharacteristic, complemented
333#1721C2×C13911yescharacteristic, complemented
334#1701C2×C13911yescharacteristic, complemented
335#1688C2×C13911yescharacteristic, complemented
336#1686C2×C13911yescharacteristic, complemented
337#1667C2×C13911yescharacteristic, complemented
338#1642C2×C13911yescharacteristic, complemented
339#1627C2×C13911yescharacteristic, complemented
340#1620C2×C13911yescharacteristic, complemented
341#1619C2×C13911yescharacteristic, complemented
342#1592C2×C13911yescharacteristic, complemented
343#1582C2×C13911yescharacteristic, complemented
344C2×AGL(1,ℤ/8)—21no—
345C22×SD16—21no—
346#559C22×C13911yescharacteristic, complemented
347#550C22×C13911yescharacteristic
348D4×Q8C22×C13911yescharacteristic
349D42C22×C13911yescharacteristic
350#496—21no—
351#493C22×C13911yescharacteristic
352#493C22×C13911yescharacteristic
353#493C22×C13911yescharacteristic, complemented
354#492C22×C13911yescharacteristic
355#489—21no—
356#486C22×C13911yescharacteristic, complemented
357#486C22×C13911yescharacteristic, complemented
358#476—21no—
359#475C22×C13911yescharacteristic, complemented
360#469—21no—
361#465—21no—
362#463—21no—
363#463—21no—
364#461C22×C13911yescharacteristic
365#460C22×C13911yescharacteristic
366#460C22×C13911yescharacteristic
367#460C22×C13911yescharacteristic, complemented
368#459—21no—
369#459C22×C13911yescharacteristic
370#459C22×C13911yescharacteristic
371#459C22×C13911yescharacteristic
372#450—21no—
373#449—21no—
374#448—21no—
375#447—21no—
376#446C22×C13911yescharacteristic, complemented
377#446C22×C13911yescharacteristic, complemented
378#442—21no—
379#442—21no—
380C4×SD16C22×C13911yescharacteristic
381C4×SD16C22×C13911yescharacteristic
382#436C22×C13911yescharacteristic
383C8×D4C22×C13911yescharacteristic
384#335C22×C13911yescharacteristic, complemented
385#334C22×C13911yescharacteristic, complemented
386#332C22×C13911yescharacteristic, complemented
387#331C22×C13911yescharacteristic
388#331C22×C13911yescharacteristic, complemented
389#331C22×C13911yescharacteristic, complemented
390Q8⋊C8C22×C13911yescharacteristic, complemented
391Q8⋊C8C22×C13911yescharacteristic, complemented
392D4⋊C8C22×C13911yescharacteristic
393D4⋊C8C22×C13911yescharacteristic
394#322C22×C13911yescharacteristic, complemented
395C2×#41—21no—
396C22×Q8—21no—
397C22×D4—21no—
398C22×D4—21no—
399AGL(1,ℤ/8)—44no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16—44no—
407C2×SD16D4×C13911yescharacteristic
408C2×SD16D4×C13911yescharacteristic
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—21no—
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—41no—
417C2×M16—21no—
418C22×C8—21no—
419C4⋊Q8—21no—
420C4⋊Q8C23×C13911yescharacteristic
421#127—21no—
422#127C23×C13911yescharacteristic
423#127C23×C13911yescharacteristic
424#127C23×C13911yescharacteristic
425#124—21no—
426#124—21no—
427#123—41no—
428C22⋊Q8—21no—
429C22⋊Q8—41no—
430#121—21no—
431#121—21no—
432#121—21no—
433#121—41no—
434#120—41no—
435C4×Q8C23×C13911yescharacteristic
436C4×Q8C23×C13911yescharacteristic
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4C23×C13911yescharacteristic
442C4×D4C23×C13911yescharacteristic
443#106—21no—
444#106D4×C13911yescharacteristic
445#106D4×C13911yescharacteristic
446C4⋊C8—21no—
447C4⋊C8—21no—
448C4⋊C8C23×C13911yescharacteristic
449C4⋊C8C23×C13911yescharacteristic
450C4⋊C8C23×C13911yescharacteristic
451C4⋊C8C23×C13911yescharacteristic
452#103—21no—
453#103—21no—
454#103D4×C13911yescharacteristic
455#103D4×C13911yescharacteristic
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C13911yescharacteristic
466#102D4×C13911yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469#97—21no—
470#97—21no—
471C4×C8C23×C13911yescharacteristic
472C4×C8C23×C13911yescharacteristic
473C4×C8C23×C13911yescharacteristic
474C24—41no—
475#41—42no—
476#41—81no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C13911yescharacteristic
482C2×Q8C2×D4×C13911yescharacteristic
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—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—81no—
499C2×D4—81no—
500C2×D4C2×D4×C13911yescharacteristic
501C2×D4C2×D4×C13911yescharacteristic
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507SD16—22no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—42no—
513SD16—81no—
514SD16—81no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—42no—
519D8—81no—
520D8—81no—
521D8—81no—
522D8—82no—
523M16—42no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—42no—
530C2×C8C2×D4×C13911yescharacteristic
531C2×C8C2×D4×C13911yescharacteristic
532C2×C8C2×D4×C13911yescharacteristic
533C2×C8C2×D4×C13911yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C13911yescharacteristic
540C4⋊C4C2×D4×C13911yescharacteristic
541C4⋊C4C2×D4×C13911yescharacteristic
542C4⋊C4C2×D4×C13911yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42—21no—
553C42C24×C13911yescharacteristic
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—82no—
560C23—82no—
561C23—161no—
562Q8—21no—
563Q8—21no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—82no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—81no—
585D4—81no—
586D4—81no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4AGL(1,ℤ/8)×C13912yes—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—82no—
605C2×C4—161no—
606C2×C4C22×D4×C13911yescharacteristic
607C2×C4C22×D4×C13911yescharacteristic
608C2×C4H(5,𝔽2)×C13911yescharacteristic
609C8—21no—
610C8—21no—
611C8—21no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C8AGL(1,ℤ/8)×C13912yescomplemented
618C22—22no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—164no—
634C22D42×C13911yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—81no—
643C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
644C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
645C4#576×C13911yescharacteristic
646C4#577×C13911yescharacteristic
647C2—42no—
648C2—81no—
649C2—161no—
650C2—161no—
651C2—161no—
652C2#3265×C13911yescharacteristic
653C2#3274×C13911yescharacteristic
654C2#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. #3399×C139C2semidirect
2. #3373×C139C2semidirect
3. D4×SD16×C139C2semidirect
4. #3274×C139C2semidirect
5. #1721×C139C2semidirect
6. #1701×C139C2semidirect
7. #1688×C139C2semidirect
8. #1686×C139C2semidirect
9. #1667×C139C2semidirect
10. #1642×C139C2semidirect
11. #1627×C139C2semidirect
12. #1620×C139C2semidirect
13. #1619×C139C2semidirect
14. #1592×C139C2semidirect
15. #1582×C139C2semidirect
18. #559×C139C22semidirect
25. #493×C139C22semidirect
28. #486×C139C22semidirect
29. #486×C139C22semidirect
31. #475×C139C22semidirect
39. #460×C139C22semidirect
48. #446×C139C22semidirect
49. #446×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
62. Q8⋊C8×C139C22semidirect
63. Q8⋊C8×C139C22semidirect
66. #322×C139C22semidirect
289. C8×C139AGL(1,ℤ/8)semidirect
327. #20192C139direct (N × H)
328. C139#20192direct (N × H)
329. #3399C2×C139semidirect
330. #3373C2×C139semidirect
331. D4×SD16C2×C139semidirect
332. #3274C2×C139semidirect
333. #1721C2×C139semidirect
334. #1701C2×C139semidirect
335. #1688C2×C139semidirect
336. #1686C2×C139semidirect
337. #1667C2×C139semidirect
338. #1642C2×C139semidirect
339. #1627C2×C139semidirect
340. #1620C2×C139semidirect
341. #1619C2×C139semidirect
342. #1592C2×C139semidirect
343. #1582C2×C139semidirect
346. #559C22×C139semidirect
353. #493C22×C139semidirect
356. #486C22×C139semidirect
357. #486C22×C139semidirect
359. #475C22×C139semidirect
367. #460C22×C139semidirect
376. #446C22×C139semidirect
377. #446C22×C139semidirect
384. #335C22×C139semidirect
385. #334C22×C139semidirect
386. #332C22×C139semidirect
388. #331C22×C139semidirect
389. #331C22×C139semidirect
390. Q8⋊C8C22×C139semidirect
391. Q8⋊C8C22×C139semidirect
394. #322C22×C139semidirect
617. 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
#3399×C1392
#3373×C1392
D4×SD16×C1392
#3274×C1392
#1721×C1392
#1701×C1392
#1688×C1392
#1686×C1392
#1667×C1392
#1642×C1392
#1627×C1392
#1620×C1392
#1619×C1392
#1592×C1392
#1582×C1392
#20192139