Finite Group Databasebeta

← C139×#20022 #48014618

Subgroups — C139×#20022 #48014618

Order 35584.

768 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3330×C139C211yesmaximal, characteristic, complemented
2#3294×C139C211yesmaximal, characteristic, complemented
3D4×D8×C139C211yesmaximal, characteristic, complemented
4#3272×C139C211yesmaximal, characteristic, complemented
5#1717×C139C211yesmaximal, characteristic, complemented
6#1701×C139C211yesmaximal, characteristic, complemented
7#1687×C139C211yesmaximal, characteristic, complemented
8#1679×C139C211yesmaximal, characteristic, complemented
9#1665×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1639×C139C211yesmaximal, characteristic, complemented
12#1625×C139C211yesmaximal, characteristic, complemented
13#1625×C139C211yesmaximal, characteristic, complemented
14#1586×C139C211yesmaximal, characteristic, complemented
15#1586×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×D8×C139—21no—
18#547×C139C2211yescharacteristic, complemented
19#547×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#493×C139C2211yescharacteristic
23#492×C139C2211yescharacteristic, complemented
24#487×C139C2211yescharacteristic, complemented
25#486×C139C2211yescharacteristic, complemented
26#486×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#484×C139—21no—
29#480×C139—21no—
30#474×C139C2211yescharacteristic
31#474×C139C2211yescharacteristic, complemented
32#468×C139—21no—
33#468×C139—21no—
34#466×C139—21no—
35#466×C139—21no—
36#461×C139C2211yescharacteristic
37#461×C139C2211yescharacteristic, complemented
38#459×C139C2211yescharacteristic
39#459×C139C2211yescharacteristic
40#459×C139C2211yescharacteristic, complemented
41#459×C139C2211yescharacteristic, complemented
42#450×C139—21no—
43#449×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
52C8×D4×C139C2211yescharacteristic
53C8×D4×C139C2211yescharacteristic, complemented
54#417×C139—21no—
55C2×#102×C139—21no—
56#334×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×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—
68C2×#41×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71C22×D4×C139—21no—
72C22×D4×C139—21no—
73AGL(1,ℤ/8)×C139—44no—
74C2×SD16×C139—21no—
75C2×SD16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×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—44no—
85C2×D8×C139D411yescharacteristic
86C2×D8×C139D411yescharacteristic
87C2×M16×C139—21no—
88C2×M16×C139—21no—
89C22×C8×C139—21no—
90C22×C8×C139—21no—
91C4⋊Q8×C139C2311yescharacteristic
92C4⋊Q8×C139C2311yescharacteristic
93#127×C139C2311yescharacteristic
94#127×C139C2311yescharacteristic
95#123×C139—41no—
96#123×C139—41no—
97C22⋊Q8×C139—21no—
98C22⋊Q8×C139—21no—
99#121×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—21no—
105#120×C139—41no—
106#120×C139—41no—
107C4×D4×C139C2311yescharacteristic
108C4×D4×C139C2311yescharacteristic
109C4×D4×C139C2311yescharacteristic
110C4×D4×C139C2311yescharacteristic
111C2×C4⋊C4×C139—21no—
112C2×C4⋊C4×C139—21no—
113#107×C139—21no—
114#107×C139—21no—
115#107×C139D411yescharacteristic
116#107×C139D411yescharacteristic
117C4⋊C8×C139C2311yescharacteristic
118C4⋊C8×C139C2311yescharacteristic
119C4⋊C8×C139C2311yescharacteristic
120C4⋊C8×C139C2311yescharacteristic
121#103×C139—21no—
122#103×C139—21no—
123#103×C139—21no—
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—41no—
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—42no—
150#41×C139—81no—
151#41×C139—81no—
152C2×Q8×C139—21no—
153C2×Q8×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—41no—
161C2×D4×C139—41no—
162C2×D4×C139—41no—
163C2×D4×C139—41no—
164C2×D4×C139—42no—
165C2×D4×C139—42no—
166C2×D4×C139—42no—
167C2×D4×C139—42no—
168C2×D4×C139—41no—
169C2×D4×C139—41no—
170C2×D4×C139—81no—
171C2×D4×C139—81no—
172C2×D4×C139—81no—
173C2×D4×C139—81no—
174C2×D4×C139C2×D411yescharacteristic
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—21no—
182C22×C4×C139—41no—
183C22×C4×C139—41no—
184SD16×C139—42no—
185SD16×C139—42no—
186SD16×C139—81no—
187SD16×C139—81no—
188D8×C139—22no—
189D8×C139—22no—
190D8×C139—42no—
191D8×C139—42no—
192D8×C139—42no—
193D8×C139—42no—
194D8×C139—81no—
195D8×C139—81no—
196M16×C139—42no—
197M16×C139—81no—
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—21no—
213C4⋊C4×C139—41no—
214C4⋊C4×C139—41no—
215C4⋊C4×C139C2×D411yescharacteristic
216C4⋊C4×C139C2×D411yescharacteristic
217C4⋊C4×C139C2×D411yescharacteristic
218C4⋊C4×C139C2×D411yescharacteristic
219C22⋊C4×C139—21no—
220C22⋊C4×C139—21no—
221C22⋊C4×C139—21no—
222C22⋊C4×C139—21no—
223C22⋊C4×C139—41no—
224C22⋊C4×C139—41no—
225C22⋊C4×C139—41no—
226C22⋊C4×C139—41no—
227C42×C139C2411yescharacteristic
228C23×C139—21no—
229C23×C139—21no—
230C23×C139—21no—
231C23×C139—21no—
232C23×C139—41no—
233C23×C139—41no—
234C23×C139—82no—
235C23×C139—82no—
236C23×C139—82no—
237C23×C139—82no—
238C23×C139—161no—
239C23×C139—161no—
240Q8×C139—41no—
241Q8×C139—41no—
242Q8×C139—41no—
243Q8×C139—41no—
244D4×C139—21no—
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—81no—
259D4×C139—81no—
260D4×C139—82no—
261D4×C139—82no—
262D4×C139—82no—
263D4×C139—82no—
264D4×C139—82no—
265D4×C139—82no—
266D4×C139AGL(1,ℤ/8)12yes—
267D4×C139AGL(1,ℤ/8)12yescomplemented
268C2×C4×C139—21no—
269C2×C4×C139—21no—
270C2×C4×C139—21no—
271C2×C4×C139—21no—
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—41no—
280C2×C4×C139—41no—
281C2×C4×C139—41no—
282C2×C4×C139—82no—
283C2×C4×C139—82no—
284C2×C4×C139C22×D411yescharacteristic
285C2×C4×C139C22×D411yescharacteristic
286C2×C4×C139H(5,𝔽2)11yescharacteristic
287C8×C139—21no—
288C8×C139—21no—
289C8×C139—21no—
290C8×C139—21no—
291C8×C139—41no—
292C8×C139—41no—
293C8×C139—41no—
294C8×C139—41no—
295C8×C139—41no—
296C22×C139—22no—
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—41no—
307C22×C139—41no—
308C22×C139—81no—
309C22×C139—81no—
310C22×C139—81no—
311C22×C139—81no—
312C22×C139—81no—
313C22×C139—81no—
314C22×C139—164no—
315C22×C139—164no—
316C22×C139D4211yescharacteristic
317C4×C139—21no—
318C4×C139—41no—
319C4×C139—41no—
320C4×C139—41no—
321C4×C139—41no—
322C4×C139—81no—
323C4×C139—81no—
324C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
325C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C139#57611yescharacteristic
327C4×C139#57611yescharacteristic
328C2×C139—42no—
329C2×C139—42no—
330C2×C139—81no—
331C2×C139—81no—
332C2×C139—161no—
333C2×C139—161no—
334C2×C139#326411yescharacteristic
335C2×C139#326411yescharacteristic
336C2×C139#329011yescharacteristic
337#20022C13911yesmaximal, characteristic, direct product factor, Sylow
338C139#2002211yescharacteristic, direct product factor, Sylow
339#3330C2×C13911yescharacteristic, complemented
340#3294C2×C13911yescharacteristic, complemented
341D4×D8C2×C13911yescharacteristic, complemented
342#3272C2×C13911yescharacteristic, complemented
343#1717C2×C13911yescharacteristic, complemented
344#1701C2×C13911yescharacteristic, complemented
345#1687C2×C13911yescharacteristic, complemented
346#1679C2×C13911yescharacteristic, complemented
347#1665C2×C13911yescharacteristic, complemented
348#1639C2×C13911yescharacteristic, complemented
349#1639C2×C13911yescharacteristic, complemented
350#1625C2×C13911yescharacteristic, complemented
351#1625C2×C13911yescharacteristic, complemented
352#1586C2×C13911yescharacteristic, complemented
353#1586C2×C13911yescharacteristic, complemented
354C2×AGL(1,ℤ/8)—21no—
355C22×D8—21no—
356#547C22×C13911yescharacteristic, complemented
357#547C22×C13911yescharacteristic, complemented
358D42C22×C13911yescharacteristic
359D42C22×C13911yescharacteristic
360#493C22×C13911yescharacteristic
361#492C22×C13911yescharacteristic, complemented
362#487C22×C13911yescharacteristic, complemented
363#486C22×C13911yescharacteristic, complemented
364#486C22×C13911yescharacteristic, complemented
365#486C22×C13911yescharacteristic, complemented
366#484—21no—
367#480—21no—
368#474C22×C13911yescharacteristic
369#474C22×C13911yescharacteristic, complemented
370#468—21no—
371#468—21no—
372#466—21no—
373#466—21no—
374#461C22×C13911yescharacteristic
375#461C22×C13911yescharacteristic, complemented
376#459C22×C13911yescharacteristic
377#459C22×C13911yescharacteristic
378#459C22×C13911yescharacteristic, complemented
379#459C22×C13911yescharacteristic, complemented
380#450—21no—
381#449—21no—
382#449—21no—
383#447—21no—
384#447—21no—
385#447—21no—
386C4×D8C22×C13911yescharacteristic
387C4×D8C22×C13911yescharacteristic
388#436C22×C13911yescharacteristic, complemented
389#436C22×C13911yescharacteristic, complemented
390C8×D4C22×C13911yescharacteristic
391C8×D4C22×C13911yescharacteristic, complemented
392#417—21no—
393C2×#102—21no—
394#334C22×C13911yescharacteristic, complemented
395#334C22×C13911yescharacteristic, complemented
396#332C22×C13911yescharacteristic, complemented
397#332C22×C13911yescharacteristic, complemented
398#331C22×C13911yescharacteristic, complemented
399#331C22×C13911yescharacteristic, complemented
400D4⋊C8C22×C13911yescharacteristic
401D4⋊C8C22×C13911yescharacteristic, complemented
402D4⋊C8C22×C13911yescharacteristic, complemented
403D4⋊C8C22×C13911yescharacteristic, complemented
404#322C22×C13911yescharacteristic, complemented
405C2×#41—21no—
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×D8—21no—
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—44no—
423C2×D8D4×C13911yescharacteristic
424C2×D8D4×C13911yescharacteristic
425C2×M16—21no—
426C2×M16—21no—
427C22×C8—21no—
428C22×C8—21no—
429C4⋊Q8C23×C13911yescharacteristic
430C4⋊Q8C23×C13911yescharacteristic
431#127C23×C13911yescharacteristic
432#127C23×C13911yescharacteristic
433#123—41no—
434#123—41no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#120—41no—
444#120—41no—
445C4×D4C23×C13911yescharacteristic
446C4×D4C23×C13911yescharacteristic
447C4×D4C23×C13911yescharacteristic
448C4×D4C23×C13911yescharacteristic
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451#107—21no—
452#107—21no—
453#107D4×C13911yescharacteristic
454#107D4×C13911yescharacteristic
455C4⋊C8C23×C13911yescharacteristic
456C4⋊C8C23×C13911yescharacteristic
457C4⋊C8C23×C13911yescharacteristic
458C4⋊C8C23×C13911yescharacteristic
459#103—21no—
460#103—21no—
461#103—21no—
462#103—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—41no—
472#102—41no—
473#102D4×C13911yescharacteristic
474#102D4×C13911yescharacteristic
475#102D4×C13911yescharacteristic
476#102D4×C13911yescharacteristic
477C22⋊C8—21no—
478C22⋊C8—21no—
479C22⋊C8—21no—
480C22⋊C8—21no—
481C4×C8C23×C13911yescharacteristic
482C4×C8C23×C13911yescharacteristic
483C4×C8C23×C13911yescharacteristic
484C24—41no—
485C24—41no—
486#41—42no—
487#41—42no—
488#41—81no—
489#41—81no—
490C2×Q8—21no—
491C2×Q8—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—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×D4×C13911yescharacteristic
513C2×D4C2×D4×C13911yescharacteristic
514C2×D4C2×D4×C13911yescharacteristic
515C2×D4C2×D4×C13911yescharacteristic
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522SD16—42no—
523SD16—42no—
524SD16—81no—
525SD16—81no—
526D8—22no—
527D8—22no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—42no—
532D8—81no—
533D8—81no—
534M16—42no—
535M16—81no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—42no—
542C2×C8—81no—
543C2×C8C2×D4×C13911yescharacteristic
544C2×C8C2×D4×C13911yescharacteristic
545C2×C8C2×D4×C13911yescharacteristic
546C2×C8C2×D4×C13911yescharacteristic
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—41no—
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—21no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C42C24×C13911yescharacteristic
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—41no—
571C23—41no—
572C23—82no—
573C23—82no—
574C23—82no—
575C23—82no—
576C23—161no—
577C23—161no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582D4—21no—
583D4—21no—
584D4—21no—
585D4—21no—
586D4—21no—
587D4—21no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—81no—
597D4—81no—
598D4—82no—
599D4—82no—
600D4—82no—
601D4—82no—
602D4—82no—
603D4—82no—
604D4AGL(1,ℤ/8)×C13912yes—
605D4AGL(1,ℤ/8)×C13912yescomplemented
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4C22×D4×C13911yescharacteristic
623C2×C4C22×D4×C13911yescharacteristic
624C2×C4H(5,𝔽2)×C13911yescharacteristic
625C8—21no—
626C8—21no—
627C8—21no—
628C8—21no—
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—164no—
653C22—164no—
654C22D42×C13911yescharacteristic
655C4—21no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
663C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
664C4#576×C13911yescharacteristic
665C4#576×C13911yescharacteristic
666C2—42no—
667C2—42no—
668C2—81no—
669C2—81no—
670C2—161no—
671C2—161no—
672C2#3264×C13911yescharacteristic
673C2#3264×C13911yescharacteristic
674C2#3290×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. #3330×C139C2semidirect
2. #3294×C139C2semidirect
3. D4×D8×C139C2semidirect
4. #3272×C139C2semidirect
5. #1717×C139C2semidirect
6. #1701×C139C2semidirect
7. #1687×C139C2semidirect
8. #1679×C139C2semidirect
9. #1665×C139C2semidirect
10. #1639×C139C2semidirect
11. #1639×C139C2semidirect
12. #1625×C139C2semidirect
13. #1625×C139C2semidirect
14. #1586×C139C2semidirect
15. #1586×C139C2semidirect
18. #547×C139C22semidirect
19. #547×C139C22semidirect
23. #492×C139C22semidirect
24. #487×C139C22semidirect
25. #486×C139C22semidirect
26. #486×C139C22semidirect
27. #486×C139C22semidirect
31. #474×C139C22semidirect
37. #461×C139C22semidirect
40. #459×C139C22semidirect
41. #459×C139C22semidirect
50. #436×C139C22semidirect
51. #436×C139C22semidirect
53. C8×D4×C139C22semidirect
56. #334×C139C22semidirect
57. #334×C139C22semidirect
58. #332×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
267. D4×C139AGL(1,ℤ/8)semidirect
337. #20022C139direct (N × H)
338. C139#20022direct (N × H)
339. #3330C2×C139semidirect
340. #3294C2×C139semidirect
341. D4×D8C2×C139semidirect
342. #3272C2×C139semidirect
343. #1717C2×C139semidirect
344. #1701C2×C139semidirect
345. #1687C2×C139semidirect
346. #1679C2×C139semidirect
347. #1665C2×C139semidirect
348. #1639C2×C139semidirect
349. #1639C2×C139semidirect
350. #1625C2×C139semidirect
351. #1625C2×C139semidirect
352. #1586C2×C139semidirect
353. #1586C2×C139semidirect
356. #547C22×C139semidirect
357. #547C22×C139semidirect
361. #492C22×C139semidirect
362. #487C22×C139semidirect
363. #486C22×C139semidirect
364. #486C22×C139semidirect
365. #486C22×C139semidirect
369. #474C22×C139semidirect
375. #461C22×C139semidirect
378. #459C22×C139semidirect
379. #459C22×C139semidirect
388. #436C22×C139semidirect
389. #436C22×C139semidirect
391. C8×D4C22×C139semidirect
394. #334C22×C139semidirect
395. #334C22×C139semidirect
396. #332C22×C139semidirect
397. #332C22×C139semidirect
398. #331C22×C139semidirect
399. #331C22×C139semidirect
401. D4⋊C8C22×C139semidirect
402. D4⋊C8C22×C139semidirect
403. D4⋊C8C22×C139semidirect
404. #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
#3330×C1392
#3294×C1392
D4×D8×C1392
#3272×C1392
#1717×C1392
#1701×C1392
#1687×C1392
#1679×C1392
#1665×C1392
#1639×C1392
#1625×C1392
#1586×C1392
#20022139