Finite Group Databasebeta

← C139×#19755 #48014351

Subgroups — C139×#19755 #48014351

Order 35584.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3294×C139C211yesmaximal, characteristic, complemented
2D4×D8×C139C211yesmaximal, characteristic, complemented
3D4×D8×C139C211yesmaximal, characteristic, complemented
4#3272×C139C211yesmaximal, characteristic, complemented
5#1721×C139C211yesmaximal, characteristic, complemented
6#1687×C139C211yesmaximal, characteristic, complemented
7#1681×C139C211yesmaximal, characteristic, complemented
8#1667×C139C211yesmaximal, characteristic, complemented
9#1665×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1625×C139C211yesmaximal, characteristic, complemented
12#1619×C139C211yesmaximal, characteristic, complemented
13#1619×C139C211yesmaximal, characteristic, complemented
14#1581×C139C211yesmaximal, characteristic, complemented
15#1580×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C22×D8×C139—21no—
18C22×D8×C139—21no—
19#547×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic, complemented
22D42×C139C2211yescharacteristic, complemented
23#493×C139C2211yescharacteristic, complemented
24#493×C139C2211yescharacteristic, complemented
25#493×C139C2211yescharacteristic, complemented
26#492×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#486×C139C2211yescharacteristic, complemented
29#480×C139—21no—
30#474×C139C2211yescharacteristic, complemented
31#468×C139—21no—
32#466×C139—21no—
33#466×C139—21no—
34#466×C139—21no—
35#461×C139C2211yescharacteristic, complemented
36#459×C139C2211yescharacteristic
37#459×C139C2211yescharacteristic
38#459×C139C2211yescharacteristic, complemented
39#459×C139C2211yescharacteristic, complemented
40#459×C139C2211yescharacteristic, complemented
41#459×C139C2211yescharacteristic, complemented
42#450×C139—21no—
43#449×C139—21no—
44#447×C139—21no—
45#447×C139—21no—
46#447×C139—21no—
47#447×C139—21no—
48#447×C139—21no—
49C4×D8×C139C2211yescharacteristic
50C4×D8×C139C2211yescharacteristic
51#436×C139C2211yescharacteristic, complemented
52C8×D4×C139C2211yescharacteristic, complemented
53C8×D4×C139C2211yescharacteristic, complemented
54C8×D4×C139C2211yescharacteristic, complemented
55C2×#102×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#331×C139C2211yescharacteristic, complemented
60#331×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic, complemented
62D4⋊C8×C139C2211yescharacteristic, complemented
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—
72C22×D4×C139—21no—
73C22×D4×C139—21no—
74AGL(1,ℤ/8)×C139—44no—
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—21no—
85C2×D8×C139—21no—
86C2×D8×C139—21no—
87C2×D8×C139—21no—
88C2×D8×C139—41no—
89C2×D8×C139—44no—
90C2×D8×C139—44no—
91C2×D8×C139D411yescharacteristic
92C2×D8×C139D411yescharacteristic
93C2×M16×C139—21no—
94C22×C8×C139—21no—
95C22×C8×C139—21no—
96C22×C8×C139—21no—
97C4⋊Q8×C139C2311yescharacteristic
98#127×C139C2311yescharacteristic
99#127×C139C2311yescharacteristic
100#127×C139C2311yescharacteristic
101#123×C139—41no—
102C22⋊Q8×C139—21no—
103#121×C139—21no—
104#121×C139—21no—
105#121×C139—21no—
106#121×C139—21no—
107#121×C139—21no—
108#121×C139—21no—
109#121×C139—21no—
110#120×C139—41no—
111#120×C139—41no—
112#120×C139—41no—
113C4×D4×C139C2311yescharacteristic
114C4×D4×C139C2311yescharacteristic
115C4×D4×C139C2311yescharacteristic
116C4×D4×C139C2311yescharacteristic
117C2×C4⋊C4×C139—21no—
118#107×C139—21no—
119#107×C139D411yescharacteristic
120#107×C139D411yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124C4⋊C8×C139C2311yescharacteristic
125#103×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—21no—
135#102×C139—41no—
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138#102×C139D411yescharacteristic
139#102×C139D411yescharacteristic
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142C22⋊C8×C139—21no—
143C22⋊C8×C139—21no—
144C4×C8×C139C2311yescharacteristic
145C4×C8×C139C2311yescharacteristic
146C4×C8×C139C2311yescharacteristic
147C24×C139—41no—
148C24×C139—41no—
149C24×C139—41no—
150#41×C139—42no—
151#41×C139—81no—
152C2×Q8×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—21no—
159C2×D4×C139—21no—
160C2×D4×C139—21no—
161C2×D4×C139—21no—
162C2×D4×C139—41no—
163C2×D4×C139—41no—
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—42no—
171C2×D4×C139—42no—
172C2×D4×C139—42no—
173C2×D4×C139—42no—
174C2×D4×C139—41no—
175C2×D4×C139—81no—
176C2×D4×C139—81no—
177C2×D4×C139—81no—
178C2×D4×C139—81no—
179C2×D4×C139—81no—
180C2×D4×C139—81no—
181C2×D4×C139C2×D411yescharacteristic
182C2×D4×C139C2×D411yescharacteristic
183C2×D4×C139C2×D411yescharacteristic
184C2×D4×C139C2×D411yescharacteristic
185C22×C4×C139—21no—
186C22×C4×C139—21no—
187C22×C4×C139—21no—
188C22×C4×C139—21no—
189C22×C4×C139—41no—
190SD16×C139—42no—
191SD16×C139—42no—
192SD16×C139—81no—
193D8×C139—22no—
194D8×C139—42no—
195D8×C139—42no—
196D8×C139—42no—
197D8×C139—42no—
198D8×C139—42no—
199D8×C139—42no—
200D8×C139—42no—
201D8×C139—81no—
202D8×C139—81no—
203D8×C139—81no—
204D8×C139—82no—
205D8×C139D814yescomplemented
206M16×C139—42no—
207C2×C8×C139—21no—
208C2×C8×C139—21no—
209C2×C8×C139—21no—
210C2×C8×C139—21no—
211C2×C8×C139—21no—
212C2×C8×C139—42no—
213C2×C8×C139—42no—
214C2×C8×C139—81no—
215C2×C8×C139C2×D411yescharacteristic
216C2×C8×C139C2×D411yescharacteristic
217C2×C8×C139C2×D411yescharacteristic
218C2×C8×C139C2×D411yescharacteristic
219C4⋊C4×C139—21no—
220C4⋊C4×C139—21no—
221C4⋊C4×C139—41no—
222C4⋊C4×C139C2×D411yescharacteristic
223C4⋊C4×C139C2×D411yescharacteristic
224C4⋊C4×C139C2×D411yescharacteristic
225C4⋊C4×C139C2×D411yescharacteristic
226C22⋊C4×C139—21no—
227C22⋊C4×C139—21no—
228C22⋊C4×C139—21no—
229C22⋊C4×C139—21no—
230C22⋊C4×C139—41no—
231C22⋊C4×C139—41no—
232C22⋊C4×C139—41no—
233C22⋊C4×C139—41no—
234C42×C139C2411yescharacteristic
235C23×C139—21no—
236C23×C139—21no—
237C23×C139—21no—
238C23×C139—21no—
239C23×C139—41no—
240C23×C139—41no—
241C23×C139—41no—
242C23×C139—82no—
243C23×C139—82no—
244C23×C139—82no—
245C23×C139—82no—
246C23×C139—82no—
247C23×C139—82no—
248C23×C139—161no—
249C23×C139—161no—
250C23×C139—161no—
251Q8×C139—41no—
252Q8×C139—41no—
253D4×C139—21no—
254D4×C139—21no—
255D4×C139—21no—
256D4×C139—21no—
257D4×C139—21no—
258D4×C139—41no—
259D4×C139—41no—
260D4×C139—41no—
261D4×C139—41no—
262D4×C139—41no—
263D4×C139—41no—
264D4×C139—41no—
265D4×C139—41no—
266D4×C139—41no—
267D4×C139—41no—
268D4×C139—41no—
269D4×C139—41no—
270D4×C139—81no—
271D4×C139—81no—
272D4×C139—81no—
273D4×C139—82no—
274D4×C139—82no—
275D4×C139—82no—
276D4×C139—82no—
277D4×C139—82no—
278D4×C139—82no—
279D4×C139—82no—
280D4×C139C2×D812yes—
281D4×C139C2×D812yescomplemented
282D4×C139AGL(1,ℤ/8)12yescomplemented
283C2×C4×C139—21no—
284C2×C4×C139—21no—
285C2×C4×C139—21no—
286C2×C4×C139—21no—
287C2×C4×C139—41no—
288C2×C4×C139—41no—
289C2×C4×C139—41no—
290C2×C4×C139—41no—
291C2×C4×C139—41no—
292C2×C4×C139—41no—
293C2×C4×C139—41no—
294C2×C4×C139—41no—
295C2×C4×C139—41no—
296C2×C4×C139—82no—
297C2×C4×C139C22×D411yescharacteristic
298C2×C4×C139C22×D411yescharacteristic
299C2×C4×C139H(5,𝔽2)11yescharacteristic
300C8×C139—21no—
301C8×C139—21no—
302C8×C139—21no—
303C8×C139—41no—
304C8×C139—41no—
305C8×C139—41no—
306C8×C139—41no—
307C8×C139—41no—
308C8×C139C2×D812yescomplemented
309C22×C139—22no—
310C22×C139—22no—
311C22×C139—22no—
312C22×C139—41no—
313C22×C139—41no—
314C22×C139—41no—
315C22×C139—41no—
316C22×C139—41no—
317C22×C139—41no—
318C22×C139—41no—
319C22×C139—41no—
320C22×C139—41no—
321C22×C139—81no—
322C22×C139—81no—
323C22×C139—81no—
324C22×C139—81no—
325C22×C139—81no—
326C22×C139—81no—
327C22×C139—81no—
328C22×C139—81no—
329C22×C139—81no—
330C22×C139—164no—
331C22×C139—164no—
332C22×C139—164no—
333C22×C139D4211yescharacteristic
334C4×C139—21no—
335C4×C139—41no—
336C4×C139—41no—
337C4×C139—41no—
338C4×C139—41no—
339C4×C139—81no—
340C4×C139C22×D811yescharacteristic
341C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C139#57611yescharacteristic
343C4×C139#57611yescharacteristic
344C2×C139—42no—
345C2×C139—42no—
346C2×C139—42no—
347C2×C139—81no—
348C2×C139—161no—
349C2×C139—161no—
350C2×C139—161no—
351C2×C139#326411yescharacteristic
352C2×C139D4×D811yescharacteristic
353C2×C139#328811yescharacteristic
354#19755C13911yesmaximal, characteristic, direct product factor, Sylow
355C139#1975511yescharacteristic, direct product factor, Sylow
356#3294C2×C13911yescharacteristic, complemented
357D4×D8C2×C13911yescharacteristic, complemented
358D4×D8C2×C13911yescharacteristic, complemented
359#3272C2×C13911yescharacteristic, complemented
360#1721C2×C13911yescharacteristic, complemented
361#1687C2×C13911yescharacteristic, complemented
362#1681C2×C13911yescharacteristic, complemented
363#1667C2×C13911yescharacteristic, complemented
364#1665C2×C13911yescharacteristic, complemented
365#1639C2×C13911yescharacteristic, complemented
366#1625C2×C13911yescharacteristic, complemented
367#1619C2×C13911yescharacteristic, complemented
368#1619C2×C13911yescharacteristic, complemented
369#1581C2×C13911yescharacteristic, complemented
370#1580C2×C13911yescharacteristic, complemented
371C2×AGL(1,ℤ/8)—21no—
372C22×D8—21no—
373C22×D8—21no—
374#547C22×C13911yescharacteristic, complemented
375D42C22×C13911yescharacteristic
376D42C22×C13911yescharacteristic, complemented
377D42C22×C13911yescharacteristic, complemented
378#493C22×C13911yescharacteristic, complemented
379#493C22×C13911yescharacteristic, complemented
380#493C22×C13911yescharacteristic, complemented
381#492C22×C13911yescharacteristic, complemented
382#486C22×C13911yescharacteristic, complemented
383#486C22×C13911yescharacteristic, complemented
384#480—21no—
385#474C22×C13911yescharacteristic, complemented
386#468—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#461C22×C13911yescharacteristic, complemented
391#459C22×C13911yescharacteristic
392#459C22×C13911yescharacteristic
393#459C22×C13911yescharacteristic, complemented
394#459C22×C13911yescharacteristic, complemented
395#459C22×C13911yescharacteristic, complemented
396#459C22×C13911yescharacteristic, complemented
397#450—21no—
398#449—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403#447—21no—
404C4×D8C22×C13911yescharacteristic
405C4×D8C22×C13911yescharacteristic
406#436C22×C13911yescharacteristic, complemented
407C8×D4C22×C13911yescharacteristic, complemented
408C8×D4C22×C13911yescharacteristic, complemented
409C8×D4C22×C13911yescharacteristic, complemented
410C2×#102—21no—
411#335C22×C13911yescharacteristic, complemented
412#334C22×C13911yescharacteristic, complemented
413#332C22×C13911yescharacteristic, complemented
414#331C22×C13911yescharacteristic, complemented
415#331C22×C13911yescharacteristic, complemented
416#331C22×C13911yescharacteristic, complemented
417D4⋊C8C22×C13911yescharacteristic, complemented
418D4⋊C8C22×C13911yescharacteristic, complemented
419D4⋊C8C22×C13911yescharacteristic, complemented
420D4⋊C8C22×C13911yescharacteristic, complemented
421#322C22×C13911yescharacteristic, complemented
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C13911yescharacteristic
447C2×D8D4×C13911yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C13911yescharacteristic
453#127C23×C13911yescharacteristic
454#127C23×C13911yescharacteristic
455#127C23×C13911yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C13911yescharacteristic
469C4×D4C23×C13911yescharacteristic
470C4×D4C23×C13911yescharacteristic
471C4×D4C23×C13911yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C13911yescharacteristic
475#107D4×C13911yescharacteristic
476C4⋊C8C23×C13911yescharacteristic
477C4⋊C8C23×C13911yescharacteristic
478C4⋊C8C23×C13911yescharacteristic
479C4⋊C8C23×C13911yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C13911yescharacteristic
492#102D4×C13911yescharacteristic
493#102D4×C13911yescharacteristic
494#102D4×C13911yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C13911yescharacteristic
500C4×C8C23×C13911yescharacteristic
501C4×C8C23×C13911yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C13911yescharacteristic
537C2×D4C2×D4×C13911yescharacteristic
538C2×D4C2×D4×C13911yescharacteristic
539C2×D4C2×D4×C13911yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C13914yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C13911yescharacteristic
571C2×C8C2×D4×C13911yescharacteristic
572C2×C8C2×D4×C13911yescharacteristic
573C2×C8C2×D4×C13911yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C13911yescharacteristic
578C4⋊C4C2×D4×C13911yescharacteristic
579C4⋊C4C2×D4×C13911yescharacteristic
580C4⋊C4C2×D4×C13911yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C13911yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C13912yes—
636D4C2×D8×C13912yescomplemented
637D4AGL(1,ℤ/8)×C13912yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C13911yescharacteristic
653C2×C4C22×D4×C13911yescharacteristic
654C2×C4H(5,𝔽2)×C13911yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C13912yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C13911yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C13911yescharacteristic
696C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
697C4#576×C13911yescharacteristic
698C4#576×C13911yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2#3264×C13911yescharacteristic
707C2D4×D8×C13911yescharacteristic
708C2#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. #3294×C139C2semidirect
2. D4×D8×C139C2semidirect
3. D4×D8×C139C2semidirect
4. #3272×C139C2semidirect
5. #1721×C139C2semidirect
6. #1687×C139C2semidirect
7. #1681×C139C2semidirect
8. #1667×C139C2semidirect
9. #1665×C139C2semidirect
10. #1639×C139C2semidirect
11. #1625×C139C2semidirect
12. #1619×C139C2semidirect
13. #1619×C139C2semidirect
14. #1581×C139C2semidirect
15. #1580×C139C2semidirect
19. #547×C139C22semidirect
21. D42×C139C22semidirect
22. D42×C139C22semidirect
23. #493×C139C22semidirect
24. #493×C139C22semidirect
25. #493×C139C22semidirect
26. #492×C139C22semidirect
27. #486×C139C22semidirect
28. #486×C139C22semidirect
30. #474×C139C22semidirect
35. #461×C139C22semidirect
38. #459×C139C22semidirect
39. #459×C139C22semidirect
40. #459×C139C22semidirect
41. #459×C139C22semidirect
51. #436×C139C22semidirect
52. C8×D4×C139C22semidirect
53. C8×D4×C139C22semidirect
54. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #331×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
62. D4⋊C8×C139C22semidirect
63. D4⋊C8×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
205. D8×C139D8semidirect
281. D4×C139C2×D8semidirect
282. D4×C139AGL(1,ℤ/8)semidirect
308. C8×C139C2×D8semidirect
354. #19755C139direct (N × H)
355. C139#19755direct (N × H)
356. #3294C2×C139semidirect
357. D4×D8C2×C139semidirect
358. D4×D8C2×C139semidirect
359. #3272C2×C139semidirect
360. #1721C2×C139semidirect
361. #1687C2×C139semidirect
362. #1681C2×C139semidirect
363. #1667C2×C139semidirect
364. #1665C2×C139semidirect
365. #1639C2×C139semidirect
366. #1625C2×C139semidirect
367. #1619C2×C139semidirect
368. #1619C2×C139semidirect
369. #1581C2×C139semidirect
370. #1580C2×C139semidirect
374. #547C22×C139semidirect
376. D42C22×C139semidirect
377. D42C22×C139semidirect
378. #493C22×C139semidirect
379. #493C22×C139semidirect
380. #493C22×C139semidirect
381. #492C22×C139semidirect
382. #486C22×C139semidirect
383. #486C22×C139semidirect
385. #474C22×C139semidirect
390. #461C22×C139semidirect
393. #459C22×C139semidirect
394. #459C22×C139semidirect
395. #459C22×C139semidirect
396. #459C22×C139semidirect
406. #436C22×C139semidirect
407. C8×D4C22×C139semidirect
408. C8×D4C22×C139semidirect
409. C8×D4C22×C139semidirect
411. #335C22×C139semidirect
412. #334C22×C139semidirect
413. #332C22×C139semidirect
414. #331C22×C139semidirect
415. #331C22×C139semidirect
416. #331C22×C139semidirect
417. D4⋊C8C22×C139semidirect
418. D4⋊C8C22×C139semidirect
419. D4⋊C8C22×C139semidirect
420. D4⋊C8C22×C139semidirect
421. #322C22×C139semidirect
560. D8D8×C139semidirect
636. D4C2×D8×C139semidirect
637. D4AGL(1,ℤ/8)×C139semidirect
663. C8C2×D8×C139semidirect

Maximal subgroups

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

subgroupindex
#3294×C1392
D4×D8×C1392
#3272×C1392
#1721×C1392
#1687×C1392
#1681×C1392
#1667×C1392
#1665×C1392
#1639×C1392
#1625×C1392
#1619×C1392
#1581×C1392
#1580×C1392
#19755139