Finite Group Databasebeta

← C139×#20309 #48014905

Subgroups — C139×#20309 #48014905

Order 35584.

720 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3397×C139C211yesmaximal, characteristic, complemented
2#3353×C139C211yesmaximal, characteristic, complemented
3#3274×C139C211yesmaximal, characteristic, complemented
4#3272×C139C211yesmaximal, characteristic, complemented
5#1706×C139C211yesmaximal, characteristic, complemented
6#1693×C139C211yesmaximal, characteristic, complemented
7#1687×C139C211yesmaximal, characteristic, complemented
8#1686×C139C211yesmaximal, characteristic, complemented
9#1685×C139C211yesmaximal, characteristic, complemented
10#1642×C139C211yesmaximal, characteristic, complemented
11#1639×C139C211yesmaximal, characteristic, complemented
12#1628×C139C211yesmaximal, characteristic, complemented
13#1625×C139C211yesmaximal, characteristic, complemented
14#1590×C139C211yesmaximal, characteristic, complemented
15#1589×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C2×AGL(1,ℤ/8)×C139—21no—
18#556×C139C2211yescharacteristic, complemented
19#550×C139C2211yescharacteristic
20#547×C139C2211yescharacteristic
21D42×C139C2211yescharacteristic
22#500×C139C2211yescharacteristic, complemented
23#496×C139—21no—
24#493×C139C2211yescharacteristic
25#492×C139C2211yescharacteristic
26#492×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic
28#486×C139C2211yescharacteristic, complemented
29#484×C139—21no—
30#482×C139—21no—
31#475×C139C2211yescharacteristic, complemented
32#474×C139C2211yescharacteristic
33#469×C139—21no—
34#468×C139—21no—
35#468×C139—21no—
36#463×C139—21no—
37#461×C139C2211yescharacteristic
38#461×C139C2211yescharacteristic
39#460×C139—21no—
40#460×C139C2211yescharacteristic
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic
43#459×C139C2211yescharacteristic, complemented
44#450×C139—21no—
45#449×C139—21no—
46#449×C139—21no—
47#447×C139—21no—
48#446×C139C2211yescharacteristic, complemented
49#440×C139—21no—
50C4×SD16×C139C2211yescharacteristic
51C4×D8×C139C2211yescharacteristic
52#436×C139C2211yescharacteristic
53#436×C139C2211yescharacteristic
54#436×C139C2211yescharacteristic, complemented
55#428×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#331×C139C2211yescharacteristic
61#331×C139C2211yescharacteristic, complemented
62Q8⋊C8×C139C2211yescharacteristic, complemented
63D4⋊C8×C139C2211yescharacteristic
64D4⋊C8×C139C2211yescharacteristic
65D4⋊C8×C139C2211yescharacteristic, complemented
66C82×C139C2211yescharacteristic, complemented
67C2×#41×C139—21no—
68C2×#41×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71AGL(1,ℤ/8)×C139—44no—
72AGL(1,ℤ/8)×C139—44no—
73C2×SD16×C139—21no—
74C2×SD16×C139—21no—
75C2×SD16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×C139—21no—
78C2×SD16×C139—21no—
79C2×SD16×C139—21no—
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×C139D411yescharacteristic
87C2×M16×C139—21no—
88C2×M16×C139—21no—
89C2×M16×C139—21no—
90C4⋊Q8×C139C2311yescharacteristic
91C4⋊Q8×C139C2311yescharacteristic
92#127×C139—21no—
93#127×C139C2311yescharacteristic
94#127×C139C2311yescharacteristic
95#126×C139—41no—
96#124×C139—21no—
97#123×C139—41no—
98C22⋊Q8×C139—21no—
99C22⋊Q8×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—41no—
105#120×C139—41no—
106C4×Q8×C139—21no—
107C4×Q8×C139C2311yescharacteristic
108C4×D4×C139—21no—
109C4×D4×C139C2311yescharacteristic
110C4×D4×C139C2311yescharacteristic
111C4×D4×C139C2311yescharacteristic
112#117×C139—21no—
113C2×C4⋊C4×C139—21no—
114#107×C139—21no—
115#107×C139—21no—
116#107×C139—21no—
117#107×C139D411yescharacteristic
118#106×C139—21no—
119#106×C139D411yescharacteristic
120C4⋊C8×C139—21no—
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124C4⋊C8×C139C2311yescharacteristic
125#103×C139—21no—
126#103×C139—21no—
127#103×C139—21no—
128#103×C139D411yescharacteristic
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—
147#41×C139—42no—
148#41×C139—42no—
149#41×C139—81no—
150#41×C139—81no—
151C2×Q8×C139—21no—
152C2×Q8×C139—21no—
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—41no—
167C2×D4×C139—81no—
168C2×D4×C139—81no—
169C2×D4×C139C2×D411yescharacteristic
170C2×D4×C139C2×D411yescharacteristic
171C2×D4×C139C2×D411yescharacteristic
172C22×C4×C139—21no—
173C22×C4×C139—21no—
174C22×C4×C139—21no—
175C22×C4×C139—41no—
176C22×C4×C139—41no—
177SD16×C139—22no—
178SD16×C139—42no—
179SD16×C139—42no—
180SD16×C139—42no—
181SD16×C139—42no—
182SD16×C139—81no—
183SD16×C139—81no—
184SD16×C139—81no—
185D8×C139—22no—
186D8×C139—42no—
187D8×C139—42no—
188D8×C139—42no—
189D8×C139—81no—
190D8×C139—81no—
191M16×C139—42no—
192M16×C139—42no—
193M16×C139—42no—
194C2×C8×C139—21no—
195C2×C8×C139—21no—
196C2×C8×C139—21no—
197C2×C8×C139—21no—
198C2×C8×C139—21no—
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—161no—
233Q8×C139—21no—
234Q8×C139—21no—
235Q8×C139—41no—
236Q8×C139—41no—
237Q8×C139—41no—
238Q8×C139—41no—
239D4×C139—21no—
240D4×C139—21no—
241D4×C139—21no—
242D4×C139—21no—
243D4×C139—21no—
244D4×C139—21no—
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—81no—
254D4×C139—81no—
255D4×C139—82no—
256D4×C139—82no—
257D4×C139—82no—
258D4×C139—82no—
259D4×C139—161no—
260C2×C4×C139—21no—
261C2×C4×C139—21no—
262C2×C4×C139—21no—
263C2×C4×C139—21no—
264C2×C4×C139—21no—
265C2×C4×C139—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—41no—
269C2×C4×C139—41no—
270C2×C4×C139—41no—
271C2×C4×C139—41no—
272C2×C4×C139—41no—
273C2×C4×C139—82no—
274C2×C4×C139—82no—
275C2×C4×C139C22×D411yescharacteristic
276C2×C4×C139C22×D411yescharacteristic
277C2×C4×C139H(5,𝔽2)11yescharacteristic
278C8×C139—21no—
279C8×C139—21no—
280C8×C139—41no—
281C8×C139—41no—
282C8×C139—41no—
283C8×C139—41no—
284C8×C139—41no—
285C8×C139AGL(1,ℤ/8)12yescomplemented
286C8×C139AGL(1,ℤ/8)12yescomplemented
287C22×C139—41no—
288C22×C139—41no—
289C22×C139—41no—
290C22×C139—41no—
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—164no—
303C22×C139D4211yescharacteristic
304C4×C139—21no—
305C4×C139—41no—
306C4×C139—41no—
307C4×C139—41no—
308C4×C139—41no—
309C4×C139—41no—
310C4×C139—81no—
311C4×C139—81no—
312C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
313C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
314C4×C139#57611yescharacteristic
315C4×C139#57711yescharacteristic
316C2×C139—81no—
317C2×C139—81no—
318C2×C139—81no—
319C2×C139—161no—
320C2×C139—161no—
321C2×C139#327211yescharacteristic
322C2×C139#327411yescharacteristic
323C2×C139#329011yescharacteristic
324#20309C13911yesmaximal, characteristic, direct product factor, Sylow
325C139#2030911yescharacteristic, direct product factor, Sylow
326#3397C2×C13911yescharacteristic, complemented
327#3353C2×C13911yescharacteristic, complemented
328#3274C2×C13911yescharacteristic, complemented
329#3272C2×C13911yescharacteristic, complemented
330#1706C2×C13911yescharacteristic, complemented
331#1693C2×C13911yescharacteristic, complemented
332#1687C2×C13911yescharacteristic, complemented
333#1686C2×C13911yescharacteristic, complemented
334#1685C2×C13911yescharacteristic, complemented
335#1642C2×C13911yescharacteristic, complemented
336#1639C2×C13911yescharacteristic, complemented
337#1628C2×C13911yescharacteristic, complemented
338#1625C2×C13911yescharacteristic, complemented
339#1590C2×C13911yescharacteristic, complemented
340#1589C2×C13911yescharacteristic, complemented
341C2×AGL(1,ℤ/8)—21no—
342C2×AGL(1,ℤ/8)—21no—
343#556C22×C13911yescharacteristic, complemented
344#550C22×C13911yescharacteristic
345#547C22×C13911yescharacteristic
346D42C22×C13911yescharacteristic
347#500C22×C13911yescharacteristic, complemented
348#496—21no—
349#493C22×C13911yescharacteristic
350#492C22×C13911yescharacteristic
351#492C22×C13911yescharacteristic, complemented
352#486C22×C13911yescharacteristic
353#486C22×C13911yescharacteristic, complemented
354#484—21no—
355#482—21no—
356#475C22×C13911yescharacteristic, complemented
357#474C22×C13911yescharacteristic
358#469—21no—
359#468—21no—
360#468—21no—
361#463—21no—
362#461C22×C13911yescharacteristic
363#461C22×C13911yescharacteristic
364#460—21no—
365#460C22×C13911yescharacteristic
366#459C22×C13911yescharacteristic
367#459C22×C13911yescharacteristic
368#459C22×C13911yescharacteristic, complemented
369#450—21no—
370#449—21no—
371#449—21no—
372#447—21no—
373#446C22×C13911yescharacteristic, complemented
374#440—21no—
375C4×SD16C22×C13911yescharacteristic
376C4×D8C22×C13911yescharacteristic
377#436C22×C13911yescharacteristic
378#436C22×C13911yescharacteristic
379#436C22×C13911yescharacteristic, complemented
380#428—21no—
381#335C22×C13911yescharacteristic, complemented
382#334C22×C13911yescharacteristic, complemented
383#332C22×C13911yescharacteristic, complemented
384#332C22×C13911yescharacteristic, complemented
385#331C22×C13911yescharacteristic
386#331C22×C13911yescharacteristic, complemented
387Q8⋊C8C22×C13911yescharacteristic, complemented
388D4⋊C8C22×C13911yescharacteristic
389D4⋊C8C22×C13911yescharacteristic
390D4⋊C8C22×C13911yescharacteristic, complemented
391C82C22×C13911yescharacteristic, complemented
392C2×#41—21no—
393C2×#41—21no—
394C22×D4—21no—
395C22×D4—21no—
396AGL(1,ℤ/8)—44no—
397AGL(1,ℤ/8)—44no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16D4×C13911yescharacteristic
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8D4×C13911yescharacteristic
412C2×M16—21no—
413C2×M16—21no—
414C2×M16—21no—
415C4⋊Q8C23×C13911yescharacteristic
416C4⋊Q8C23×C13911yescharacteristic
417#127—21no—
418#127C23×C13911yescharacteristic
419#127C23×C13911yescharacteristic
420#126—41no—
421#124—21no—
422#123—41no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—41no—
430#120—41no—
431C4×Q8—21no—
432C4×Q8C23×C13911yescharacteristic
433C4×D4—21no—
434C4×D4C23×C13911yescharacteristic
435C4×D4C23×C13911yescharacteristic
436C4×D4C23×C13911yescharacteristic
437#117—21no—
438C2×C4⋊C4—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107D4×C13911yescharacteristic
443#106—21no—
444#106D4×C13911yescharacteristic
445C4⋊C8—21no—
446C4⋊C8C23×C13911yescharacteristic
447C4⋊C8C23×C13911yescharacteristic
448C4⋊C8C23×C13911yescharacteristic
449C4⋊C8C23×C13911yescharacteristic
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—41no—
460#102—41no—
461#102D4×C13911yescharacteristic
462#102D4×C13911yescharacteristic
463#102D4×C13911yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467#97—21no—
468C4×C8C23×C13911yescharacteristic
469C4×C8C23×C13911yescharacteristic
470C4×C8C23×C13911yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—81no—
475#41—81no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C13911yescharacteristic
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—41no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4C2×D4×C13911yescharacteristic
495C2×D4C2×D4×C13911yescharacteristic
496C2×D4C2×D4×C13911yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—41no—
501C22×C4—41no—
502SD16—22no—
503SD16—42no—
504SD16—42no—
505SD16—42no—
506SD16—42no—
507SD16—81no—
508SD16—81no—
509SD16—81no—
510D8—22no—
511D8—42no—
512D8—42no—
513D8—42no—
514D8—81no—
515D8—81no—
516M16—42no—
517M16—42no—
518M16—42no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8C2×D4×C13911yescharacteristic
525C2×C8C2×D4×C13911yescharacteristic
526C2×C8C2×D4×C13911yescharacteristic
527C2×C8C2×D4×C13911yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4C2×D4×C13911yescharacteristic
536C4⋊C4C2×D4×C13911yescharacteristic
537C4⋊C4C2×D4×C13911yescharacteristic
538C4⋊C4C2×D4×C13911yescharacteristic
539C22⋊C4—21no—
540C22⋊C4—21no—
541C22⋊C4—21no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C42—21no—
548C42—41no—
549C42C24×C13911yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—41no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—21no—
559Q8—21no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—81no—
579D4—81no—
580D4—82no—
581D4—82no—
582D4—82no—
583D4—82no—
584D4—161no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C13911yescharacteristic
601C2×C4C22×D4×C13911yescharacteristic
602C2×C4H(5,𝔽2)×C13911yescharacteristic
603C8—21no—
604C8—21no—
605C8—41no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8AGL(1,ℤ/8)×C13912yescomplemented
611C8AGL(1,ℤ/8)×C13912yescomplemented
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C13911yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—41no—
635C4—81no—
636C4—81no—
637C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
638C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
639C4#576×C13911yescharacteristic
640C4#577×C13911yescharacteristic
641C2—81no—
642C2—81no—
643C2—81no—
644C2—161no—
645C2—161no—
646C2#3272×C13911yescharacteristic
647C2#3274×C13911yescharacteristic
648C2#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. #3397×C139C2semidirect
2. #3353×C139C2semidirect
3. #3274×C139C2semidirect
4. #3272×C139C2semidirect
5. #1706×C139C2semidirect
6. #1693×C139C2semidirect
7. #1687×C139C2semidirect
8. #1686×C139C2semidirect
9. #1685×C139C2semidirect
10. #1642×C139C2semidirect
11. #1639×C139C2semidirect
12. #1628×C139C2semidirect
13. #1625×C139C2semidirect
14. #1590×C139C2semidirect
15. #1589×C139C2semidirect
18. #556×C139C22semidirect
22. #500×C139C22semidirect
26. #492×C139C22semidirect
28. #486×C139C22semidirect
31. #475×C139C22semidirect
43. #459×C139C22semidirect
48. #446×C139C22semidirect
54. #436×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #332×C139C22semidirect
61. #331×C139C22semidirect
62. Q8⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. C82×C139C22semidirect
285. C8×C139AGL(1,ℤ/8)semidirect
286. C8×C139AGL(1,ℤ/8)semidirect
324. #20309C139direct (N × H)
325. C139#20309direct (N × H)
326. #3397C2×C139semidirect
327. #3353C2×C139semidirect
328. #3274C2×C139semidirect
329. #3272C2×C139semidirect
330. #1706C2×C139semidirect
331. #1693C2×C139semidirect
332. #1687C2×C139semidirect
333. #1686C2×C139semidirect
334. #1685C2×C139semidirect
335. #1642C2×C139semidirect
336. #1639C2×C139semidirect
337. #1628C2×C139semidirect
338. #1625C2×C139semidirect
339. #1590C2×C139semidirect
340. #1589C2×C139semidirect
343. #556C22×C139semidirect
347. #500C22×C139semidirect
351. #492C22×C139semidirect
353. #486C22×C139semidirect
356. #475C22×C139semidirect
368. #459C22×C139semidirect
373. #446C22×C139semidirect
379. #436C22×C139semidirect
381. #335C22×C139semidirect
382. #334C22×C139semidirect
383. #332C22×C139semidirect
384. #332C22×C139semidirect
386. #331C22×C139semidirect
387. Q8⋊C8C22×C139semidirect
390. D4⋊C8C22×C139semidirect
391. C82C22×C139semidirect
610. C8AGL(1,ℤ/8)×C139semidirect
611. 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
#3397×C1392
#3353×C1392
#3274×C1392
#3272×C1392
#1706×C1392
#1693×C1392
#1687×C1392
#1686×C1392
#1685×C1392
#1642×C1392
#1639×C1392
#1628×C1392
#1625×C1392
#1590×C1392
#1589×C1392
#20309139