Finite Group Databasebeta

← C139×#23883 #48018479

Subgroups — C139×#23883 #48018479

Order 35584.

1696 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3585×C139C211yesmaximal, characteristic, complemented
2#3485×C139C211yesmaximal, characteristic, complemented
3#3025×C139C211yesmaximal, characteristic, complemented
4#3022×C139C211yesmaximal, characteristic, complemented
5#3005×C139C212yesmaximal, complemented
6#2010×C139C212yesmaximal, complemented
7#2009×C139C212yesmaximal, complemented
8#1909×C139C211yesmaximal, characteristic, complemented
9#1904×C139C212yesmaximal, complemented
10#1891×C139C211yesmaximal, characteristic, complemented
11#1795×C139C211yesmaximal, characteristic, complemented
12#585×C139C2211yescharacteristic
13C2×H(5,𝔽2)×C139C2211yescharacteristic
14C22×#41×C139C2211yescharacteristic, complemented
15#577×C139—24no—
16#576×C139—24no—
17#575×C139—22no—
18#575×C139C2212yes—
19C2×#137×C139C2212yescomplemented
20C2×AGL(1,ℤ/8)×C139—22no—
21C2×AGL(1,ℤ/8)×C139C2212yes—
22#568×C139C2211yescharacteristic
23#547×C139—22no—
24#547×C139—22no—
25#546×C139—22no—
26#546×C139—22no—
27#536×C139C2211yescharacteristic
28#536×C139C2211yescharacteristic, complemented
29#534×C139—22no—
30#525×C139C2211yescharacteristic
31#525×C139C2211yescharacteristic, complemented
32#525×C139C2212yescomplemented
33C2×#123×C139—22no—
34#518×C139C2211yescharacteristic, complemented
35#458×C139—22no—
36B(4,𝔽2)×C139—22no—
37#456×C139—22no—
38#455×C139—22no—
39#452×C139—24no—
40#449×C139—24no—
41#421×C139C2212yescomplemented
42#421×C139C2212yescomplemented
43#419×C139C2212yescomplemented
44#418×C139C2212yescomplemented
45#413×C139C2211yescharacteristic
46#410×C139C2211yescharacteristic
47#410×C139C2212yescomplemented
48#407×C139C2212yescomplemented
49#344×C139C2212yescomplemented
50H(3,ℤ/4)×C139C2212yescomplemented
512−1+4×C139—22no—
522−1+4×C139—21no—
53H(5,𝔽2)×C139—22no—
54H(5,𝔽2)×C139—24no—
55H(5,𝔽2)×C139—22no—
56H(5,𝔽2)×C139—21no—
57H(5,𝔽2)×C139—42no—
58C2×#41×C139—22no—
59C2×#41×C139—21no—
60C2×#41×C139—22no—
61C2×#41×C139—24no—
62C2×#41×C139—22no—
63C2×#41×C139—42no—
64C2×#41×C139—42no—
65C2×#41×C139D412yescomplemented
66C2×#41×C139C2312yes—
67C2×#41×C139C2311yescharacteristic
68C2×#41×C139C2311yescharacteristic
69C22×Q8×C139C2311yescharacteristic
70C22×D4×C139—21no—
71C22×D4×C139—22no—
72C22×D4×C139—21no—
73C22×D4×C139D412yescomplemented
74C22×D4×C139C2311yescharacteristic
75C23×C4×C139—21no—
76C23×C4×C139C2311yescharacteristic
77#137×C139—24no—
78#137×C139—22no—
79#137×C139—22no—
80#137×C139—24no—
81#137×C139—42no—
82AGL(1,ℤ/8)×C139—28no—
83AGL(1,ℤ/8)×C139—24no—
84AGL(1,ℤ/8)×C139—22no—
85AGL(1,ℤ/8)×C139—24no—
86AGL(1,ℤ/8)×C139—24no—
87AGL(1,ℤ/8)×C139—22no—
88#135×C139—28no—
89#135×C139—24no—
90C2×Q16×C139—22no—
91C2×SD16×C139—24no—
92C2×SD16×C139—22no—
93C2×SD16×C139D414yescomplemented
94C2×D8×C139—24no—
95C2×D8×C139D414yescomplemented
96#131×C139—24no—
97C2×M16×C139—22no—
98C2×M16×C139C2312yes—
99C2×M16×C139C2312yes—
100C4⋊Q8×C139—21no—
101C4⋊Q8×C139D412yescomplemented
102#124×C139—21no—
103#124×C139D412yescomplemented
104#123×C139—24no—
105#123×C139—24no—
106#123×C139—24no—
107#123×C139—22no—
108#123×C139—21no—
109#123×C139—22no—
110#123×C139—22no—
111#123×C139D412yes—
112C22⋊Q8×C139—21no—
113C22⋊Q8×C139—21no—
114C22⋊Q8×C139—22no—
115C22⋊Q8×C139—22no—
116C22⋊Q8×C139—22no—
117#121×C139—24no—
118#121×C139—24no—
119#121×C139—21no—
120#121×C139—21no—
121#121×C139—22no—
122#120×C139—24no—
123#120×C139—21no—
124#120×C139—22no—
125#120×C139D412yes—
126C4×D4×C139—22no—
127C4×D4×C139—22no—
128C4×D4×C139—22no—
129C4×D4×C139—22no—
130C4×D4×C139—42no—
131#117×C139C2312yes—
132#117×C139C2311yescharacteristic
133#117×C139C2311yescharacteristic
134C2×C4⋊C4×C139—24no—
135C2×C22⋊C4×C139—24no—
136C2×C22⋊C4×C139—22no—
137#104×C139—24no—
138#104×C139—42no—
139#103×C139—24no—
140#102×C139—24no—
141#101×C139—21no—
142#100×C139—21no—
143#99×C139—22no—
144#99×C139—24no—
145C22⋊C8×C139—24no—
146C24×C139—21no—
147C24×C139—22no—
148C24×C139C2×D411yescharacteristic
149#41×C139—22no—
150#41×C139—22no—
151#41×C139—24no—
152#41×C139—24no—
153#41×C139—22no—
154#41×C139—22no—
155#41×C139—22no—
156#41×C139—22no—
157#41×C139—22no—
158#41×C139—22no—
159#41×C139—42no—
160#41×C139—44no—
161#41×C139—42no—
162#41×C139—48no—
163#41×C139—44no—
164#41×C139—42no—
165#41×C139—42no—
166#41×C139—44no—
167#41×C139—44no—
168#41×C139—42no—
169C2×Q8×C139—21no—
170C2×Q8×C139—22no—
171C2×Q8×C139—22no—
172C2×Q8×C139—22no—
173C2×Q8×C139—42no—
174C2×Q8×C139C2×D412yes—
175C2×Q8×C139C2×D411yescharacteristic
176C2×Q8×C139C2×D412yes—
177C2×Q8×C139C2×D411yescharacteristic
178C2×D4×C139—22no—
179C2×D4×C139—24no—
180C2×D4×C139—24no—
181C2×D4×C139—22no—
182C2×D4×C139—22no—
183C2×D4×C139—21no—
184C2×D4×C139—22no—
185C2×D4×C139—22no—
186C2×D4×C139—22no—
187C2×D4×C139—21no—
188C2×D4×C139—22no—
189C2×D4×C139—42no—
190C2×D4×C139—44no—
191C2×D4×C139—42no—
192C2×D4×C139—48no—
193C2×D4×C139—44no—
194C2×D4×C139—44no—
195C2×D4×C139—42no—
196C2×D4×C139—42no—
197C2×D4×C139C2×D412yes—
198C2×D4×C139C2×D411yescharacteristic
199C2×D4×C139C2×D412yes—
200C2×D4×C139C2×D411yescharacteristic
201C2×D4×C139C2×D414yes—
202C2×D4×C139C2×D412yes—
203C22×C4×C139—24no—
204C22×C4×C139—21no—
205C22×C4×C139—24no—
206C22×C4×C139—22no—
207C22×C4×C139—22no—
208C22×C4×C139—21no—
209C22×C4×C139—21no—
210C22×C4×C139—21no—
211C22×C4×C139—22no—
212C22×C4×C139—22no—
213C22×C4×C139—44no—
214C22×C4×C139—42no—
215C22×C4×C139C2×D411yescharacteristic
216C22×C4×C139C2×D412yes—
217C22×C4×C139C2411yescharacteristic
218Q16×C139—24no—
219Q16×C139—44no—
220SD16×C139—24no—
221SD16×C139—24no—
222SD16×C139—28no—
223SD16×C139—44no—
224D8×C139—24no—
225D8×C139—28no—
226M16×C139—24no—
227M16×C139—22no—
228M16×C139—22no—
229M16×C139—22no—
230M16×C139—22no—
231C2×C8×C139—24no—
232C2×C8×C139—22no—
233C2×C8×C139C2×D414yes—
234C4⋊C4×C139—22no—
235C4⋊C4×C139—24no—
236C4⋊C4×C139—22no—
237C4⋊C4×C139—24no—
238C4⋊C4×C139—21no—
239C4⋊C4×C139—21no—
240C4⋊C4×C139—22no—
241C4⋊C4×C139—42no—
242C22⋊C4×C139—22no—
243C22⋊C4×C139—24no—
244C22⋊C4×C139—24no—
245C22⋊C4×C139—22no—
246C22⋊C4×C139—22no—
247C22⋊C4×C139—24no—
248C22⋊C4×C139—21no—
249C22⋊C4×C139—22no—
250C22⋊C4×C139—22no—
251C22⋊C4×C139—42no—
252C22⋊C4×C139—42no—
253C22⋊C4×C139C2×D412yes—
254C42×C139—21no—
255C42×C139—22no—
256C42×C139C2×D412yes—
257C23×C139—22no—
258C23×C139—24no—
259C23×C139—21no—
260C23×C139—21no—
261C23×C139—22no—
262C23×C139—22no—
263C23×C139—44no—
264C23×C139—42no—
265C23×C139—81no—
266C23×C139—82no—
267C23×C139—84no—
268C23×C139#12012yes—
269C23×C139C22×D411yescharacteristic
270Q8×C139—22no—
271Q8×C139—22no—
272Q8×C139—21no—
273Q8×C139—21no—
274Q8×C139—24no—
275Q8×C139—22no—
276Q8×C139—42no—
277Q8×C139—41no—
278Q8×C139—41no—
279D4×C139—24no—
280D4×C139—22no—
281D4×C139—21no—
282D4×C139—22no—
283D4×C139—21no—
284D4×C139—24no—
285D4×C139—22no—
286D4×C139—22no—
287D4×C139—44no—
288D4×C139—42no—
289D4×C139—44no—
290D4×C139—48no—
291D4×C139—44no—
292D4×C139—42no—
293D4×C139—42no—
294D4×C139—42no—
295D4×C139—82no—
296D4×C139—82no—
297D4×C139—84no—
298D4×C139#12014yes—
299C2×C4×C139—22no—
300C2×C4×C139—22no—
301C2×C4×C139—22no—
302C2×C4×C139—22no—
303C2×C4×C139—21no—
304C2×C4×C139—22no—
305C2×C4×C139—21no—
306C2×C4×C139—22no—
307C2×C4×C139—22no—
308C2×C4×C139—44no—
309C2×C4×C139—44no—
310C2×C4×C139—48no—
311C2×C4×C139—42no—
312C2×C4×C139—42no—
313C2×C4×C139—41no—
314C2×C4×C139—41no—
315C2×C4×C139—42no—
316C2×C4×C139—42no—
317C2×C4×C139—42no—
318C2×C4×C139—42no—
319C2×C4×C139—42no—
320C2×C4×C139—84no—
321C2×C4×C139#12012yes—
322C2×C4×C139C22×D411yescharacteristic
323C2×C4×C139C22×D412yes—
324C2×C4×C139C22×D411yescharacteristic
325C2×C4×C139H(5,𝔽2)12yes—
326C8×C139—24no—
327C8×C139—42no—
328C22×C139—22no—
329C22×C139—24no—
330C22×C139—41no—
331C22×C139—42no—
332C22×C139—44no—
333C22×C139—41no—
334C22×C139—41no—
335C22×C139—42no—
336C22×C139—42no—
337C22×C139—42no—
338C22×C139—42no—
339C22×C139—41no—
340C22×C139—41no—
341C22×C139—84no—
342C22×C139—82no—
343C22×C139—164no—
344C22×C139—162no—
345C22×C139C2×#12011yescharacteristic
346C22×C139D4212yes—
347C4×C139—22no—
348C4×C139—42no—
349C4×C139—42no—
350C4×C139—41no—
351C4×C139—41no—
352C4×C139—42no—
353C4×C139—42no—
354C4×C139—82no—
355C4×C139C2×#12011yescharacteristic
356C4×C139#53411yescharacteristic
357C4×C139D4212yes—
358C2×C139—21no—
359C2×C139—22no—
360C2×C139—44no—
361C2×C139—42no—
362C2×C139—81no—
363C2×C139—81no—
364C2×C139—82no—
365C2×C139#240311yescharacteristic
366#23883C13911yesmaximal, characteristic, direct product factor, Sylow
367C139#2388311yescharacteristic, direct product factor, Sylow
368#3585C2×C13911yescharacteristic, complemented
369#3485C2×C13911yescharacteristic, complemented
370#3025C2×C13911yescharacteristic, complemented
371#3022C2×C13911yescharacteristic, complemented
372#3005C2×C13912yescomplemented
373#2010C2×C13912yescomplemented
374#2009C2×C13912yescomplemented
375#1909C2×C13911yescharacteristic, complemented
376#1904C2×C13912yescomplemented
377#1891C2×C13911yescharacteristic, complemented
378#1795C2×C13911yescharacteristic, complemented
379#585C22×C13911yescharacteristic
380C2×H(5,𝔽2)C22×C13911yescharacteristic
381C22×#41C22×C13911yescharacteristic, complemented
382#577—24no—
383#576—24no—
384#575—22no—
385#575C22×C13912yes—
386C2×#137C22×C13912yescomplemented
387C2×AGL(1,ℤ/8)—22no—
388C2×AGL(1,ℤ/8)C22×C13912yes—
389#568C22×C13911yescharacteristic
390#547—22no—
391#547—22no—
392#546—22no—
393#546—22no—
394#536C22×C13911yescharacteristic
395#536C22×C13911yescharacteristic, complemented
396#534—22no—
397#525C22×C13911yescharacteristic
398#525C22×C13911yescharacteristic, complemented
399#525C22×C13912yescomplemented
400C2×#123—22no—
401#518C22×C13911yescharacteristic, complemented
402#458—22no—
403B(4,𝔽2)—22no—
404#456—22no—
405#455—22no—
406#452—24no—
407#449—24no—
408#421C22×C13912yescomplemented
409#421C22×C13912yescomplemented
410#419C22×C13912yescomplemented
411#418C22×C13912yescomplemented
412#413C22×C13911yescharacteristic
413#410C22×C13911yescharacteristic
414#410C22×C13912yescomplemented
415#407C22×C13912yescomplemented
416#344C22×C13912yescomplemented
417H(3,ℤ/4)C22×C13912yescomplemented
4182−1+4—22no—
4192−1+4—21no—
420H(5,𝔽2)—22no—
421H(5,𝔽2)—24no—
422H(5,𝔽2)—22no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—42no—
425C2×#41—22no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41—24no—
429C2×#41—22no—
430C2×#41—42no—
431C2×#41—42no—
432C2×#41D4×C13912yescomplemented
433C2×#41C23×C13911yescharacteristic
434C2×#41C23×C13912yes—
435C2×#41C23×C13911yescharacteristic
436C22×Q8C23×C13911yescharacteristic
437C22×D4—21no—
438C22×D4—22no—
439C22×D4—21no—
440C22×D4D4×C13912yescomplemented
441C22×D4C23×C13911yescharacteristic
442C23×C4—21no—
443C23×C4C23×C13911yescharacteristic
444#137—24no—
445#137—22no—
446#137—22no—
447#137—24no—
448#137—42no—
449AGL(1,ℤ/8)—28no—
450AGL(1,ℤ/8)—24no—
451AGL(1,ℤ/8)—22no—
452AGL(1,ℤ/8)—24no—
453AGL(1,ℤ/8)—24no—
454AGL(1,ℤ/8)—22no—
455#135—28no—
456#135—24no—
457C2×Q16—22no—
458C2×SD16—24no—
459C2×SD16—22no—
460C2×SD16D4×C13914yescomplemented
461C2×D8—24no—
462C2×D8D4×C13914yescomplemented
463#131—24no—
464C2×M16—22no—
465C2×M16C23×C13912yes—
466C2×M16C23×C13912yes—
467C4⋊Q8—21no—
468C4⋊Q8D4×C13912yescomplemented
469#124—21no—
470#124D4×C13912yescomplemented
471#123—24no—
472#123—24no—
473#123—24no—
474#123—22no—
475#123—21no—
476#123—22no—
477#123—22no—
478#123D4×C13912yes—
479C22⋊Q8—21no—
480C22⋊Q8—21no—
481C22⋊Q8—22no—
482C22⋊Q8—22no—
483C22⋊Q8—22no—
484#121—24no—
485#121—24no—
486#121—21no—
487#121—21no—
488#121—22no—
489#120—24no—
490#120—21no—
491#120—22no—
492#120D4×C13912yes—
493C4×D4—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—22no—
497C4×D4—42no—
498#117C23×C13912yes—
499#117C23×C13911yescharacteristic
500#117C23×C13911yescharacteristic
501C2×C4⋊C4—24no—
502C2×C22⋊C4—24no—
503C2×C22⋊C4—22no—
504#104—24no—
505#104—42no—
506#103—24no—
507#102—24no—
508#101—21no—
509#100—21no—
510#99—22no—
511#99—24no—
512C22⋊C8—24no—
513C24—21no—
514C24—22no—
515C24C2×D4×C13911yescharacteristic
516#41—22no—
517#41—22no—
518#41—24no—
519#41—24no—
520#41—22no—
521#41—22no—
522#41—22no—
523#41—22no—
524#41—22no—
525#41—22no—
526#41—42no—
527#41—44no—
528#41—42no—
529#41—48no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41—44no—
534#41—44no—
535#41—42no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—42no—
541C2×Q8C2×D4×C13912yes—
542C2×Q8C2×D4×C13911yescharacteristic
543C2×Q8C2×D4×C13912yes—
544C2×Q8C2×D4×C13911yescharacteristic
545C2×D4—22no—
546C2×D4—24no—
547C2×D4—24no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—42no—
557C2×D4—44no—
558C2×D4—42no—
559C2×D4—48no—
560C2×D4—44no—
561C2×D4—44no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4C2×D4×C13912yes—
565C2×D4C2×D4×C13911yescharacteristic
566C2×D4C2×D4×C13912yes—
567C2×D4C2×D4×C13911yescharacteristic
568C2×D4C2×D4×C13914yes—
569C2×D4C2×D4×C13912yes—
570C22×C4—24no—
571C22×C4—21no—
572C22×C4—24no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—22no—
579C22×C4—22no—
580C22×C4—44no—
581C22×C4—42no—
582C22×C4C2×D4×C13911yescharacteristic
583C22×C4C2×D4×C13912yes—
584C22×C4C24×C13911yescharacteristic
585Q16—24no—
586Q16—44no—
587SD16—24no—
588SD16—24no—
589SD16—28no—
590SD16—44no—
591D8—24no—
592D8—28no—
593M16—24no—
594M16—22no—
595M16—22no—
596M16—22no—
597M16—22no—
598C2×C8—24no—
599C2×C8—22no—
600C2×C8C2×D4×C13914yes—
601C4⋊C4—22no—
602C4⋊C4—24no—
603C4⋊C4—22no—
604C4⋊C4—24no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—22no—
608C4⋊C4—42no—
609C22⋊C4—22no—
610C22⋊C4—24no—
611C22⋊C4—24no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—24no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C22⋊C4C2×D4×C13912yes—
621C42—21no—
622C42—22no—
623C42C2×D4×C13912yes—
624C23—22no—
625C23—24no—
626C23—21no—
627C23—21no—
628C23—22no—
629C23—22no—
630C23—44no—
631C23—42no—
632C23—81no—
633C23—82no—
634C23—84no—
635C23#120×C13912yes—
636C23C22×D4×C13911yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—21no—
640Q8—21no—
641Q8—24no—
642Q8—22no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646D4—24no—
647D4—22no—
648D4—21no—
649D4—22no—
650D4—21no—
651D4—24no—
652D4—22no—
653D4—22no—
654D4—44no—
655D4—42no—
656D4—44no—
657D4—48no—
658D4—44no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—82no—
663D4—82no—
664D4—84no—
665D4#120×C13914yes—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—84no—
688C2×C4#120×C13912yes—
689C2×C4C22×D4×C13911yescharacteristic
690C2×C4C22×D4×C13912yes—
691C2×C4C22×D4×C13911yescharacteristic
692C2×C4H(5,𝔽2)×C13912yes—
693C8—24no—
694C8—42no—
695C22—22no—
696C22—24no—
697C22—41no—
698C22—42no—
699C22—44no—
700C22—41no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—84no—
709C22—82no—
710C22—164no—
711C22—162no—
712C22C2×#120×C13911yescharacteristic
713C22D42×C13912yes—
714C4—22no—
715C4—42no—
716C4—42no—
717C4—41no—
718C4—41no—
719C4—42no—
720C4—42no—
721C4—82no—
722C4C2×#120×C13911yescharacteristic
723C4#534×C13911yescharacteristic
724C4D42×C13912yes—
725C2—21no—
726C2—22no—
727C2—44no—
728C2—42no—
729C2—81no—
730C2—81no—
731C2—82no—
732C2#2403×C13911yescharacteristic
subgroupG/H
center, socleC2×C139#2403
commutator, Frattini, cosocleC22×C4C24×C139
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C139 ◁ C22×C4×C139 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #3585×C139C2semidirect
2. #3485×C139C2semidirect
3. #3025×C139C2semidirect
4. #3022×C139C2semidirect
5. #3005×C139C2semidirect
6. #2010×C139C2semidirect
7. #2009×C139C2semidirect
8. #1909×C139C2semidirect
9. #1904×C139C2semidirect
10. #1891×C139C2semidirect
11. #1795×C139C2semidirect
14. C22×#41×C139C22semidirect
19. C2×#137×C139C22semidirect
28. #536×C139C22semidirect
31. #525×C139C22semidirect
32. #525×C139C22semidirect
34. #518×C139C22semidirect
41. #421×C139C22semidirect
42. #421×C139C22semidirect
43. #419×C139C22semidirect
44. #418×C139C22semidirect
47. #410×C139C22semidirect
48. #407×C139C22semidirect
49. #344×C139C22semidirect
50. H(3,ℤ/4)×C139C22semidirect
65. C2×#41×C139D4semidirect
73. C22×D4×C139D4semidirect
93. C2×SD16×C139D4semidirect
95. C2×D8×C139D4semidirect
101. C4⋊Q8×C139D4semidirect
103. #124×C139D4semidirect
366. #23883C139direct (N × H)
367. C139#23883direct (N × H)
368. #3585C2×C139semidirect
369. #3485C2×C139semidirect
370. #3025C2×C139semidirect
371. #3022C2×C139semidirect
372. #3005C2×C139semidirect
373. #2010C2×C139semidirect
374. #2009C2×C139semidirect
375. #1909C2×C139semidirect
376. #1904C2×C139semidirect
377. #1891C2×C139semidirect
378. #1795C2×C139semidirect
381. C22×#41C22×C139semidirect
386. C2×#137C22×C139semidirect
395. #536C22×C139semidirect
398. #525C22×C139semidirect
399. #525C22×C139semidirect
401. #518C22×C139semidirect
408. #421C22×C139semidirect
409. #421C22×C139semidirect
410. #419C22×C139semidirect
411. #418C22×C139semidirect
414. #410C22×C139semidirect
415. #407C22×C139semidirect
416. #344C22×C139semidirect
417. H(3,ℤ/4)C22×C139semidirect
432. C2×#41D4×C139semidirect
440. C22×D4D4×C139semidirect
460. C2×SD16D4×C139semidirect
462. C2×D8D4×C139semidirect
468. C4⋊Q8D4×C139semidirect
470. #124D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3585×C1392
#3485×C1392
#3025×C1392
#3022×C1392
#3005×C1392
#2010×C1392
#2009×C1392
#1909×C1392
#1904×C1392
#1891×C1392
#1795×C1392
#23883139