Finite Group Databasebeta

← C139×#20054 #48014650

Subgroups — C139×#20054 #48014650

Order 35584.

744 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#3367×C139C211yesmaximal, characteristic, complemented
2#3324×C139C211yesmaximal, characteristic, complemented
3D4×SD16×C139C211yesmaximal, characteristic, complemented
4D4×D8×C139C211yesmaximal, characteristic
5#1717×C139C211yesmaximal, characteristic, complemented
6#1688×C139C211yesmaximal, characteristic, complemented
7#1685×C139C211yesmaximal, characteristic, complemented
8#1681×C139C211yesmaximal, characteristic, complemented
9#1679×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1639×C139C211yesmaximal, characteristic, complemented
12#1628×C139C211yesmaximal, characteristic, complemented
13#1627×C139C211yesmaximal, characteristic, complemented
14#1586×C139C211yesmaximal, characteristic, complemented
15#1585×C139C211yesmaximal, characteristic, complemented
16C22×SD16×C139—21no—
17C22×D8×C139—21no—
18#556×C139C2211yescharacteristic, complemented
19D4×Q8×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#493×C139C2211yescharacteristic
23#492×C139C2211yescharacteristic, complemented
24#489×C139—21no—
25#487×C139C2211yescharacteristic, complemented
26#486×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#486×C139C2211yescharacteristic, complemented
29#482×C139—21no—
30#477×C139—21no—
31#474×C139C2211yescharacteristic
32#474×C139C2211yescharacteristic, complemented
33#468×C139—21no—
34#466×C139—21no—
35#465×C139—21no—
36#463×C139—21no—
37#461×C139C2211yescharacteristic
38#461×C139C2211yescharacteristic, complemented
39#460×C139C2211yescharacteristic, complemented
40#460×C139C2211yescharacteristic, complemented
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic
43#450×C139—21no—
44#450×C139—21no—
45#448×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
53C8×D4×C139C2211yescharacteristic
54C8×D4×C139C2211yescharacteristic, complemented
55#418×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#332×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
67C22×Q8×C139—21no—
68C22×D4×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71C22×D4×C139—21no—
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×D8×C139—21no—
81C2×D8×C139—21no—
82C2×D8×C139—21no—
83C2×D8×C139—21no—
84C2×D8×C139—44no—
85C2×D8×C139D411yescharacteristic
86C2×M16×C139—21no—
87C22×C8×C139—21no—
88C22×C8×C139—21no—
89C4⋊Q8×C139—21no—
90C4⋊Q8×C139C2311yescharacteristic
91C4⋊Q8×C139C2311yescharacteristic
92#127×C139C2311yescharacteristic
93#127×C139C2311yescharacteristic
94#126×C139—41no—
95#124×C139—21no—
96C22⋊Q8×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#120×C139—41no—
104#120×C139—41no—
105C4×Q8×C139—21no—
106C4×Q8×C139C2311yescharacteristic
107C4×D4×C139—21no—
108C4×D4×C139C2311yescharacteristic
109C4×D4×C139C2311yescharacteristic
110C4×D4×C139C2311yescharacteristic
111#117×C139—21no—
112#107×C139—21no—
113#107×C139—21no—
114#107×C139D411yescharacteristic
115#106×C139D411yescharacteristic
116C4⋊C8×C139—21no—
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#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—41no—
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—
148C2×Q8×C139—21no—
149C2×Q8×C139—21no—
150C2×Q8×C139—41no—
151C2×Q8×C139—42no—
152C2×Q8×C139—81no—
153C2×Q8×C139C2×D411yescharacteristic
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—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
175C22×C4×C139—21no—
176C22×C4×C139—21no—
177C22×C4×C139—21no—
178C22×C4×C139—41no—
179SD16×C139—22no—
180SD16×C139—42no—
181SD16×C139—42no—
182SD16×C139—42no—
183SD16×C139—42no—
184SD16×C139—81no—
185SD16×C139—81no—
186D8×C139—22no—
187D8×C139—42no—
188D8×C139—42no—
189D8×C139—42no—
190D8×C139—81no—
191M16×C139—81no—
192C2×C8×C139—21no—
193C2×C8×C139—21no—
194C2×C8×C139—21no—
195C2×C8×C139—21no—
196C2×C8×C139—21no—
197C2×C8×C139—42no—
198C2×C8×C139—42no—
199C2×C8×C139C2×D411yescharacteristic
200C2×C8×C139C2×D411yescharacteristic
201C2×C8×C139C2×D411yescharacteristic
202C2×C8×C139C2×D411yescharacteristic
203C4⋊C4×C139—21no—
204C4⋊C4×C139—21no—
205C4⋊C4×C139—21no—
206C4⋊C4×C139—21no—
207C4⋊C4×C139—21no—
208C4⋊C4×C139—41no—
209C4⋊C4×C139—41no—
210C4⋊C4×C139C2×D411yescharacteristic
211C4⋊C4×C139C2×D411yescharacteristic
212C4⋊C4×C139C2×D411yescharacteristic
213C4⋊C4×C139C2×D411yescharacteristic
214C22⋊C4×C139—21no—
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—
222C42×C139—21no—
223C42×C139—41no—
224C42×C139C2411yescharacteristic
225C23×C139—21no—
226C23×C139—21no—
227C23×C139—21no—
228C23×C139—41no—
229C23×C139—41no—
230C23×C139—82no—
231C23×C139—82no—
232C23×C139—82no—
233C23×C139—82no—
234C23×C139—161no—
235C23×C139—161no—
236Q8×C139—21no—
237Q8×C139—21no—
238Q8×C139—41no—
239Q8×C139—41no—
240Q8×C139—41no—
241Q8×C139—41no—
242Q8×C139—82no—
243D4×C139—21no—
244D4×C139—21no—
245D4×C139—21no—
246D4×C139—21no—
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—81no—
256D4×C139—81no—
257D4×C139—82no—
258D4×C139—82no—
259D4×C139—82no—
260D4×C139—82no—
261D4×C139AGL(1,ℤ/8)12yes—
262D4×C139AGL(1,ℤ/8)12yes—
263C2×C4×C139—21no—
264C2×C4×C139—21no—
265C2×C4×C139—21no—
266C2×C4×C139—21no—
267C2×C4×C139—21no—
268C2×C4×C139—41no—
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—82no—
277C2×C4×C139C22×D411yescharacteristic
278C2×C4×C139C22×D411yescharacteristic
279C2×C4×C139H(5,𝔽2)11yescharacteristic
280C8×C139—21no—
281C8×C139—21no—
282C8×C139—21no—
283C8×C139—21no—
284C8×C139—41no—
285C8×C139—41no—
286C8×C139—41no—
287C8×C139—41no—
288C8×C139—41no—
289C22×C139—22no—
290C22×C139—22no—
291C22×C139—41no—
292C22×C139—41no—
293C22×C139—41no—
294C22×C139—41no—
295C22×C139—41no—
296C22×C139—41no—
297C22×C139—41no—
298C22×C139—81no—
299C22×C139—81no—
300C22×C139—81no—
301C22×C139—81no—
302C22×C139—81no—
303C22×C139—81no—
304C22×C139—164no—
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—81no—
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—42no—
321C2×C139—81no—
322C2×C139—161no—
323C2×C139—161no—
324C2×C139#326411yescharacteristic
325C2×C139#326511yescharacteristic
326C2×C139#329011yescharacteristic
327#20054C13911yesmaximal, characteristic, direct product factor, Sylow
328C139#2005411yescharacteristic, direct product factor, Sylow
329#3367C2×C13911yescharacteristic, complemented
330#3324C2×C13911yescharacteristic, complemented
331D4×SD16C2×C13911yescharacteristic, complemented
332D4×D8C2×C13911yescharacteristic
333#1717C2×C13911yescharacteristic, complemented
334#1688C2×C13911yescharacteristic, complemented
335#1685C2×C13911yescharacteristic, complemented
336#1681C2×C13911yescharacteristic, complemented
337#1679C2×C13911yescharacteristic, complemented
338#1639C2×C13911yescharacteristic, complemented
339#1639C2×C13911yescharacteristic, complemented
340#1628C2×C13911yescharacteristic, complemented
341#1627C2×C13911yescharacteristic, complemented
342#1586C2×C13911yescharacteristic, complemented
343#1585C2×C13911yescharacteristic, complemented
344C22×SD16—21no—
345C22×D8—21no—
346#556C22×C13911yescharacteristic, complemented
347D4×Q8C22×C13911yescharacteristic, complemented
348D42C22×C13911yescharacteristic
349D42C22×C13911yescharacteristic
350#493C22×C13911yescharacteristic
351#492C22×C13911yescharacteristic, complemented
352#489—21no—
353#487C22×C13911yescharacteristic, complemented
354#486C22×C13911yescharacteristic, complemented
355#486C22×C13911yescharacteristic, complemented
356#486C22×C13911yescharacteristic, complemented
357#482—21no—
358#477—21no—
359#474C22×C13911yescharacteristic
360#474C22×C13911yescharacteristic, complemented
361#468—21no—
362#466—21no—
363#465—21no—
364#463—21no—
365#461C22×C13911yescharacteristic
366#461C22×C13911yescharacteristic, complemented
367#460C22×C13911yescharacteristic, complemented
368#460C22×C13911yescharacteristic, complemented
369#459C22×C13911yescharacteristic
370#459C22×C13911yescharacteristic
371#450—21no—
372#450—21no—
373#448—21no—
374#447—21no—
375#447—21no—
376#446C22×C13911yescharacteristic, complemented
377#440—21no—
378C4×SD16C22×C13911yescharacteristic
379C4×D8C22×C13911yescharacteristic
380#436C22×C13911yescharacteristic, complemented
381C8×D4C22×C13911yescharacteristic
382C8×D4C22×C13911yescharacteristic, complemented
383#418—21no—
384#335C22×C13911yescharacteristic, complemented
385#334C22×C13911yescharacteristic, complemented
386#332C22×C13911yescharacteristic, complemented
387#332C22×C13911yescharacteristic, complemented
388#331C22×C13911yescharacteristic, complemented
389#331C22×C13911yescharacteristic, complemented
390Q8⋊C8C22×C13911yescharacteristic, complemented
391D4⋊C8C22×C13911yescharacteristic
392D4⋊C8C22×C13911yescharacteristic, complemented
393D4⋊C8C22×C13911yescharacteristic, complemented
394#322C22×C13911yescharacteristic, complemented
395C22×Q8—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—21no—
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×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—44no—
413C2×D8D4×C13911yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C4⋊Q8—21no—
418C4⋊Q8C23×C13911yescharacteristic
419C4⋊Q8C23×C13911yescharacteristic
420#127C23×C13911yescharacteristic
421#127C23×C13911yescharacteristic
422#126—41no—
423#124—21no—
424C22⋊Q8—21no—
425C22⋊Q8—21no—
426C22⋊Q8—41no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#120—41no—
432#120—41no—
433C4×Q8—21no—
434C4×Q8C23×C13911yescharacteristic
435C4×D4—21no—
436C4×D4C23×C13911yescharacteristic
437C4×D4C23×C13911yescharacteristic
438C4×D4C23×C13911yescharacteristic
439#117—21no—
440#107—21no—
441#107—21no—
442#107D4×C13911yescharacteristic
443#106D4×C13911yescharacteristic
444C4⋊C8—21no—
445C4⋊C8C23×C13911yescharacteristic
446C4⋊C8C23×C13911yescharacteristic
447C4⋊C8C23×C13911yescharacteristic
448C4⋊C8C23×C13911yescharacteristic
449#103—21no—
450#103—21no—
451#103—21no—
452#103—21no—
453#103D4×C13911yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—41no—
463#102—41no—
464#102D4×C13911yescharacteristic
465#102D4×C13911yescharacteristic
466#102D4×C13911yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470#97—21no—
471C4×C8C23×C13911yescharacteristic
472C4×C8C23×C13911yescharacteristic
473C4×C8C23×C13911yescharacteristic
474C24—41no—
475C24—41no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C13911yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C13911yescharacteristic
501C2×D4C2×D4×C13911yescharacteristic
502C2×D4C2×D4×C13911yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507SD16—22no—
508SD16—42no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—81no—
513SD16—81no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519M16—81no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8C2×D4×C13911yescharacteristic
528C2×C8C2×D4×C13911yescharacteristic
529C2×C8C2×D4×C13911yescharacteristic
530C2×C8C2×D4×C13911yescharacteristic
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4C2×D4×C13911yescharacteristic
539C4⋊C4C2×D4×C13911yescharacteristic
540C4⋊C4C2×D4×C13911yescharacteristic
541C4⋊C4C2×D4×C13911yescharacteristic
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C42—21no—
551C42—41no—
552C42C24×C13911yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23—82no—
560C23—82no—
561C23—82no—
562C23—161no—
563C23—161no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569Q8—41no—
570Q8—82no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4AGL(1,ℤ/8)×C13912yes—
590D4AGL(1,ℤ/8)×C13912yes—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—82no—
605C2×C4C22×D4×C13911yescharacteristic
606C2×C4C22×D4×C13911yescharacteristic
607C2×C4H(5,𝔽2)×C13911yescharacteristic
608C8—21no—
609C8—21no—
610C8—21no—
611C8—21no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—164no—
633C22—164no—
634C22D42×C13911yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
644C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
645C4#576×C13911yescharacteristic
646C4#577×C13911yescharacteristic
647C2—42no—
648C2—42no—
649C2—81no—
650C2—161no—
651C2—161no—
652C2#3264×C13911yescharacteristic
653C2#3265×C13911yescharacteristic
654C2#3290×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC42C24×C139
prime radicalD4×D8×C139C2
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. #3367×C139C2semidirect
2. #3324×C139C2semidirect
3. D4×SD16×C139C2semidirect
5. #1717×C139C2semidirect
6. #1688×C139C2semidirect
7. #1685×C139C2semidirect
8. #1681×C139C2semidirect
9. #1679×C139C2semidirect
10. #1639×C139C2semidirect
11. #1639×C139C2semidirect
12. #1628×C139C2semidirect
13. #1627×C139C2semidirect
14. #1586×C139C2semidirect
15. #1585×C139C2semidirect
18. #556×C139C22semidirect
19. D4×Q8×C139C22semidirect
23. #492×C139C22semidirect
25. #487×C139C22semidirect
26. #486×C139C22semidirect
27. #486×C139C22semidirect
28. #486×C139C22semidirect
32. #474×C139C22semidirect
38. #461×C139C22semidirect
39. #460×C139C22semidirect
40. #460×C139C22semidirect
48. #446×C139C22semidirect
52. #436×C139C22semidirect
54. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #332×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
62. Q8⋊C8×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
327. #20054C139direct (N × H)
328. C139#20054direct (N × H)
329. #3367C2×C139semidirect
330. #3324C2×C139semidirect
331. D4×SD16C2×C139semidirect
333. #1717C2×C139semidirect
334. #1688C2×C139semidirect
335. #1685C2×C139semidirect
336. #1681C2×C139semidirect
337. #1679C2×C139semidirect
338. #1639C2×C139semidirect
339. #1639C2×C139semidirect
340. #1628C2×C139semidirect
341. #1627C2×C139semidirect
342. #1586C2×C139semidirect
343. #1585C2×C139semidirect
346. #556C22×C139semidirect
347. D4×Q8C22×C139semidirect
351. #492C22×C139semidirect
353. #487C22×C139semidirect
354. #486C22×C139semidirect
355. #486C22×C139semidirect
356. #486C22×C139semidirect
360. #474C22×C139semidirect
366. #461C22×C139semidirect
367. #460C22×C139semidirect
368. #460C22×C139semidirect
376. #446C22×C139semidirect
380. #436C22×C139semidirect
382. C8×D4C22×C139semidirect
384. #335C22×C139semidirect
385. #334C22×C139semidirect
386. #332C22×C139semidirect
387. #332C22×C139semidirect
388. #331C22×C139semidirect
389. #331C22×C139semidirect
390. Q8⋊C8C22×C139semidirect
392. D4⋊C8C22×C139semidirect
393. D4⋊C8C22×C139semidirect
394. #322C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3367×C1392
#3324×C1392
D4×SD16×C1392
D4×D8×C1392
#1717×C1392
#1688×C1392
#1685×C1392
#1681×C1392
#1679×C1392
#1639×C1392
#1628×C1392
#1627×C1392
#1586×C1392
#1585×C1392
#20054139