Finite Group Databasebeta

← C139×#18962 #48013558

Subgroups — C139×#18962 #48013558

Order 35584.

964 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3546×C139C211yesmaximal, characteristic, complemented
2#3253×C139C211yesmaximal, characteristic, complemented
3#3247×C139C211yesmaximal, characteristic, complemented
4#3207×C139C211yesmaximal, characteristic, complemented
5#1638×C139C211yesmaximal, characteristic, complemented
6#1635×C139C211yesmaximal, characteristic, complemented
7#1631×C139C211yesmaximal, characteristic, complemented
8#1629×C139C211yesmaximal, characteristic, complemented
9#1628×C139C211yesmaximal, characteristic, complemented
10#1625×C139C211yesmaximal, characteristic, complemented
11#1621×C139C211yesmaximal, characteristic, complemented
12#1619×C139C211yesmaximal, characteristic, complemented
13#1547×C139C211yesmaximal, characteristic, complemented
14#1495×C139C211yesmaximal, characteristic, complemented
15#1480×C139C211yesmaximal, characteristic, complemented
16#560×C139—22no—
17#556×C139C2211yescharacteristic
18#553×C139—21no—
19#550×C139—21no—
20#550×C139C2211yescharacteristic
21#547×C139C2211yescharacteristic
22#546×C139—21no—
23#546×C139—21no—
24D42×C139C2211yescharacteristic
25#542×C139—21no—
26#538×C139—22no—
27#537×C139—21no—
28#535×C139—21no—
29#535×C139—21no—
30#532×C139C2211yescharacteristic
31#532×C139C2211yescharacteristic
32#532×C139C2211yescharacteristic, complemented
33#529×C139C2211yescharacteristic
34#493×C139C2211yescharacteristic
35#492×C139C2211yescharacteristic
36#487×C139C2211yescharacteristic, complemented
37#486×C139C2211yescharacteristic, complemented
38#478×C139—21no—
39#477×C139C2211yescharacteristic, complemented
40#476×C139—21no—
41#476×C139C2211yescharacteristic
42#476×C139C2211yescharacteristic
43#476×C139C2211yescharacteristic, complemented
44#469×C139—21no—
45#469×C139—21no—
46#466×C139—21no—
47#465×C139—21no—
48#463×C139—21no—
49#463×C139—22no—
50#460×C139C2211yescharacteristic, complemented
51#459×C139—21no—
52#459×C139C2211yescharacteristic
53#459×C139C2211yescharacteristic
54#459×C139C2211yescharacteristic, complemented
55#449×C139—22no—
56#431×C139C2211yescharacteristic, complemented
57#423×C139C2211yescharacteristic, complemented
58C2×C4⋊C8×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#332×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic
62#331×C139C2211yescharacteristic
63Q8⋊C8×C139C2211yescharacteristic, complemented
64Q8⋊C8×C139C2211yescharacteristic, complemented
65D4⋊C8×C139C2211yescharacteristic
66D4⋊C8×C139C2211yescharacteristic
67D4⋊C8×C139C2211yescharacteristic
68D4⋊C8×C139C2211yescharacteristic
69D4⋊C8×C139C2211yescharacteristic, complemented
70D4⋊C8×C139C2211yescharacteristic, complemented
71C2×#41×C139—21no—
72C2×#41×C139—21no—
73C2×#41×C139—21no—
74C2×#41×C139—21no—
75C2×#41×C139—21no—
76C22×D4×C139—21no—
77C22×D4×C139—21no—
78C2×SD16×C139—21no—
79C2×SD16×C139—22no—
80C2×D8×C139—22no—
81C2×D8×C139—21no—
82C2×D8×C139—21no—
83C2×D8×C139—21no—
84C2×M16×C139—21no—
85C22×C8×C139—21no—
86C4⋊Q8×C139D411yescharacteristic
87C4⋊Q8×C139C2311yescharacteristic
88C4⋊Q8×C139C2311yescharacteristic
89#127×C139—22no—
90#127×C139—21no—
91#127×C139D411yescharacteristic
92#127×C139C2311yescharacteristic
93#127×C139C2311yescharacteristic
94#126×C139—22no—
95#126×C139—22no—
96#126×C139—21no—
97#125×C139D411yescharacteristic
98#124×C139—22no—
99#124×C139—21no—
100#124×C139—21no—
101#124×C139—21no—
102#124×C139—21no—
103#124×C139D411yescharacteristic
104#123×C139—22no—
105#123×C139—22no—
106#123×C139—21no—
107#123×C139—22no—
108C22⋊Q8×C139—22no—
109C22⋊Q8×C139—21no—
110C22⋊Q8×C139—21no—
111C22⋊Q8×C139D411yescharacteristic
112#121×C139—22no—
113#121×C139—22no—
114#121×C139—22no—
115#121×C139—22no—
116#121×C139—22no—
117#121×C139—21no—
118#121×C139—22no—
119#121×C139—21no—
120#121×C139—21no—
121#121×C139—21no—
122#121×C139—21no—
123#121×C139—21no—
124#121×C139—21no—
125#121×C139—21no—
126#121×C139D412yes—
127#121×C139D411yescharacteristic
128#121×C139D411yescharacteristic
129#121×C139D411yescharacteristic
130#120×C139—22no—
131#120×C139—22no—
132#120×C139—22no—
133#120×C139—22no—
134C4×Q8×C139—21no—
135C4×Q8×C139C2311yescharacteristic
136C4×D4×C139—22no—
137C4×D4×C139—21no—
138C4×D4×C139—21no—
139C4×D4×C139—21no—
140C4×D4×C139—21no—
141C4×D4×C139—21no—
142C4×D4×C139—21no—
143C4×D4×C139D412yes—
144C4×D4×C139C2311yescharacteristic
145C4×D4×C139C2311yescharacteristic
146C4×D4×C139C2311yescharacteristic
147#117×C139—21no—
148#117×C139—21no—
149C2×C4⋊C4×C139—21no—
150C2×C22⋊C4×C139—22no—
151C2×C42×C139C2311yescharacteristic
152#107×C139—21no—
153#106×C139—21no—
154#106×C139—21no—
155#106×C139—21no—
156C4⋊C8×C139—21no—
157C4⋊C8×C139—21no—
158C4⋊C8×C139—21no—
159C4⋊C8×C139C2311yescharacteristic
160C4⋊C8×C139C2311yescharacteristic
161C4⋊C8×C139C2311yescharacteristic
162C4⋊C8×C139C2311yescharacteristic
163#103×C139—21no—
164#103×C139—22no—
165#102×C139—21no—
166#102×C139—21no—
167#102×C139—21no—
168#102×C139—22no—
169#102×C139—21no—
170#102×C139—21no—
171#102×C139—21no—
172#102×C139—21no—
173C22⋊C8×C139—21no—
174C4×C8×C139C2311yescharacteristic
175C4×C8×C139C2311yescharacteristic
176C24×C139—22no—
177#41×C139—81no—
178#41×C139—81no—
179#41×C139—81no—
180#41×C139—81no—
181#41×C139—81no—
182#41×C139—81no—
183#41×C139—81no—
184#41×C139—81no—
185#41×C139—82no—
186C2×Q8×C139—21no—
187C2×Q8×C139—21no—
188C2×Q8×C139—21no—
189C2×Q8×C139C2×D411yescharacteristic
190C2×D4×C139—22no—
191C2×D4×C139—22no—
192C2×D4×C139—22no—
193C2×D4×C139—22no—
194C2×D4×C139—22no—
195C2×D4×C139—21no—
196C2×D4×C139—21no—
197C2×D4×C139—22no—
198C2×D4×C139—21no—
199C2×D4×C139—21no—
200C2×D4×C139—21no—
201C2×D4×C139—21no—
202C2×D4×C139—21no—
203C2×D4×C139—21no—
204C2×D4×C139—21no—
205C2×D4×C139—21no—
206C2×D4×C139—41no—
207C2×D4×C139—81no—
208C2×D4×C139—81no—
209C2×D4×C139—81no—
210C2×D4×C139—81no—
211C2×D4×C139C2×D411yescharacteristic
212C2×D4×C139C2×D411yescharacteristic
213C2×D4×C139C2×D411yescharacteristic
214C2×D4×C139C2×D412yes—
215C22×C4×C139—22no—
216C22×C4×C139—22no—
217C22×C4×C139—21no—
218C22×C4×C139—21no—
219C22×C4×C139—21no—
220C22×C4×C139—22no—
221C22×C4×C139—41no—
222C22×C4×C139C2×D411yescharacteristic
223C22×C4×C139C2×D411yescharacteristic
224C22×C4×C139C2×D411yescharacteristic
225SD16×C139—81no—
226SD16×C139—82no—
227D8×C139—81no—
228D8×C139—81no—
229D8×C139—81no—
230D8×C139—82no—
231M16×C139—81no—
232C2×C8×C139—21no—
233C2×C8×C139—21no—
234C2×C8×C139—21no—
235C2×C8×C139—21no—
236C2×C8×C139—21no—
237C2×C8×C139—21no—
238C2×C8×C139—81no—
239C4⋊C4×C139—22no—
240C4⋊C4×C139—22no—
241C4⋊C4×C139—21no—
242C4⋊C4×C139—21no—
243C4⋊C4×C139—21no—
244C4⋊C4×C139—21no—
245C4⋊C4×C139—21no—
246C4⋊C4×C139—21no—
247C4⋊C4×C139—21no—
248C4⋊C4×C139—21no—
249C4⋊C4×C139C2×D412yes—
250C4⋊C4×C139C2×D411yescharacteristic
251C4⋊C4×C139C2×D411yescharacteristic
252C4⋊C4×C139C2×D411yescharacteristic
253C4⋊C4×C139C2×D411yescharacteristic
254C22⋊C4×C139—22no—
255C22⋊C4×C139—22no—
256C22⋊C4×C139—22no—
257C22⋊C4×C139—22no—
258C22⋊C4×C139—22no—
259C22⋊C4×C139—21no—
260C22⋊C4×C139—21no—
261C22⋊C4×C139—21no—
262C22⋊C4×C139—21no—
263C22⋊C4×C139—21no—
264C22⋊C4×C139—21no—
265C22⋊C4×C139—22no—
266C22⋊C4×C139—22no—
267C22⋊C4×C139—21no—
268C22⋊C4×C139—21no—
269C22⋊C4×C139—21no—
270C22⋊C4×C139—41no—
271C22⋊C4×C139—41no—
272C42×C139—22no—
273C42×C139—21no—
274C42×C139C2×D411yescharacteristic
275C42×C139C2×D411yescharacteristic
276C42×C139C2×D411yescharacteristic
277C42×C139C2411yescharacteristic
278C23×C139—21no—
279C23×C139—21no—
280C23×C139—22no—
281C23×C139—21no—
282C23×C139—41no—
283C23×C139—82no—
284C23×C139—82no—
285C23×C139—82no—
286C23×C139#12011yescharacteristic
287Q8×C139—21no—
288Q8×C139—21no—
289Q8×C139—42no—
290Q8×C139—41no—
291Q8×C139—41no—
292Q8×C139—81no—
293D4×C139—21no—
294D4×C139—21no—
295D4×C139—21no—
296D4×C139—21no—
297D4×C139—21no—
298D4×C139—21no—
299D4×C139—42no—
300D4×C139—42no—
301D4×C139—41no—
302D4×C139—41no—
303D4×C139—41no—
304D4×C139—41no—
305D4×C139—41no—
306D4×C139—41no—
307D4×C139—41no—
308D4×C139—41no—
309D4×C139—81no—
310D4×C139—81no—
311D4×C139—81no—
312D4×C139—81no—
313D4×C139—81no—
314D4×C139—82no—
315D4×C139—82no—
316D4×C139—82no—
317D4×C139—82no—
318D4×C139—82no—
319D4×C139—82no—
320D4×C139—82no—
321C2×C4×C139—21no—
322C2×C4×C139—21no—
323C2×C4×C139—21no—
324C2×C4×C139—21no—
325C2×C4×C139—21no—
326C2×C4×C139—21no—
327C2×C4×C139—21no—
328C2×C4×C139—22no—
329C2×C4×C139—21no—
330C2×C4×C139—21no—
331C2×C4×C139—41no—
332C2×C4×C139—41no—
333C2×C4×C139—41no—
334C2×C4×C139—41no—
335C2×C4×C139—41no—
336C2×C4×C139—41no—
337C2×C4×C139—41no—
338C2×C4×C139—41no—
339C2×C4×C139—82no—
340C2×C4×C139—82no—
341C2×C4×C139—82no—
342C2×C4×C139—82no—
343C2×C4×C139#12011yescharacteristic
344C2×C4×C139#12011yescharacteristic
345C2×C4×C139#12011yescharacteristic
346C2×C4×C139C22×D411yescharacteristic
347C2×C4×C139C22×D411yescharacteristic
348C2×C4×C139C22×D411yescharacteristic
349C8×C139—41no—
350C8×C139—41no—
351C8×C139—41no—
352C8×C139—41no—
353C8×C139—41no—
354C8×C139—41no—
355C22×C139—21no—
356C22×C139—21no—
357C22×C139—21no—
358C22×C139—41no—
359C22×C139—41no—
360C22×C139—41no—
361C22×C139—41no—
362C22×C139—42no—
363C22×C139—42no—
364C22×C139—41no—
365C22×C139—41no—
366C22×C139—42no—
367C22×C139—41no—
368C22×C139—41no—
369C22×C139—41no—
370C22×C139—81no—
371C22×C139—81no—
372C22×C139—81no—
373C22×C139—164no—
374C22×C139C2×#12011yescharacteristic
375C4×C139—21no—
376C4×C139—21no—
377C4×C139—21no—
378C4×C139—21no—
379C4×C139—41no—
380C4×C139—41no—
381C4×C139—41no—
382C4×C139—41no—
383C4×C139—42no—
384C4×C139—41no—
385C4×C139—81no—
386C4×C139#57611yescharacteristic
387C4×C139#57611yescharacteristic
388C4×C139#57711yescharacteristic
389C4×C139#57711yescharacteristic
390C2×C139—41no—
391C2×C139—81no—
392C2×C139—82no—
393C2×C139—81no—
394C2×C139—81no—
395C2×C139—161no—
396C2×C139#301211yescharacteristic
397C2×C139#301211yescharacteristic
398C2×C139#302111yescharacteristic
399#18962C13911yesmaximal, characteristic, direct product factor, Sylow
400C139#1896211yescharacteristic, direct product factor, Sylow
401#3546C2×C13911yescharacteristic, complemented
402#3253C2×C13911yescharacteristic, complemented
403#3247C2×C13911yescharacteristic, complemented
404#3207C2×C13911yescharacteristic, complemented
405#1638C2×C13911yescharacteristic, complemented
406#1635C2×C13911yescharacteristic, complemented
407#1631C2×C13911yescharacteristic, complemented
408#1629C2×C13911yescharacteristic, complemented
409#1628C2×C13911yescharacteristic, complemented
410#1625C2×C13911yescharacteristic, complemented
411#1621C2×C13911yescharacteristic, complemented
412#1619C2×C13911yescharacteristic, complemented
413#1547C2×C13911yescharacteristic, complemented
414#1495C2×C13911yescharacteristic, complemented
415#1480C2×C13911yescharacteristic, complemented
416#560—22no—
417#556C22×C13911yescharacteristic
418#553—21no—
419#550—21no—
420#550C22×C13911yescharacteristic
421#547C22×C13911yescharacteristic
422#546—21no—
423#546—21no—
424D42C22×C13911yescharacteristic
425#542—21no—
426#538—22no—
427#537—21no—
428#535—21no—
429#535—21no—
430#532C22×C13911yescharacteristic
431#532C22×C13911yescharacteristic
432#532C22×C13911yescharacteristic, complemented
433#529C22×C13911yescharacteristic
434#493C22×C13911yescharacteristic
435#492C22×C13911yescharacteristic
436#487C22×C13911yescharacteristic, complemented
437#486C22×C13911yescharacteristic, complemented
438#478—21no—
439#477C22×C13911yescharacteristic, complemented
440#476—21no—
441#476C22×C13911yescharacteristic
442#476C22×C13911yescharacteristic
443#476C22×C13911yescharacteristic, complemented
444#469—21no—
445#469—21no—
446#466—21no—
447#465—21no—
448#463—21no—
449#463—22no—
450#460C22×C13911yescharacteristic, complemented
451#459—21no—
452#459C22×C13911yescharacteristic
453#459C22×C13911yescharacteristic
454#459C22×C13911yescharacteristic, complemented
455#449—22no—
456#431C22×C13911yescharacteristic, complemented
457#423C22×C13911yescharacteristic, complemented
458C2×C4⋊C8C22×C13911yescharacteristic, complemented
459#332C22×C13911yescharacteristic, complemented
460#332C22×C13911yescharacteristic, complemented
461#331C22×C13911yescharacteristic
462#331C22×C13911yescharacteristic
463Q8⋊C8C22×C13911yescharacteristic, complemented
464Q8⋊C8C22×C13911yescharacteristic, complemented
465D4⋊C8C22×C13911yescharacteristic
466D4⋊C8C22×C13911yescharacteristic
467D4⋊C8C22×C13911yescharacteristic
468D4⋊C8C22×C13911yescharacteristic
469D4⋊C8C22×C13911yescharacteristic, complemented
470D4⋊C8C22×C13911yescharacteristic, complemented
471C2×#41—21no—
472C2×#41—21no—
473C2×#41—21no—
474C2×#41—21no—
475C2×#41—21no—
476C22×D4—21no—
477C22×D4—21no—
478C2×SD16—21no—
479C2×SD16—22no—
480C2×D8—22no—
481C2×D8—21no—
482C2×D8—21no—
483C2×D8—21no—
484C2×M16—21no—
485C22×C8—21no—
486C4⋊Q8D4×C13911yescharacteristic
487C4⋊Q8C23×C13911yescharacteristic
488C4⋊Q8C23×C13911yescharacteristic
489#127—22no—
490#127—21no—
491#127D4×C13911yescharacteristic
492#127C23×C13911yescharacteristic
493#127C23×C13911yescharacteristic
494#126—22no—
495#126—22no—
496#126—21no—
497#125D4×C13911yescharacteristic
498#124—22no—
499#124—21no—
500#124—21no—
501#124—21no—
502#124—21no—
503#124D4×C13911yescharacteristic
504#123—22no—
505#123—22no—
506#123—21no—
507#123—22no—
508C22⋊Q8—22no—
509C22⋊Q8—21no—
510C22⋊Q8—21no—
511C22⋊Q8D4×C13911yescharacteristic
512#121—22no—
513#121—22no—
514#121—22no—
515#121—22no—
516#121—22no—
517#121—21no—
518#121—22no—
519#121—21no—
520#121—21no—
521#121—21no—
522#121—21no—
523#121—21no—
524#121—21no—
525#121—21no—
526#121D4×C13911yescharacteristic
527#121D4×C13911yescharacteristic
528#121D4×C13911yescharacteristic
529#121D4×C13912yes—
530#120—22no—
531#120—22no—
532#120—22no—
533#120—22no—
534C4×Q8—21no—
535C4×Q8C23×C13911yescharacteristic
536C4×D4—22no—
537C4×D4—21no—
538C4×D4—21no—
539C4×D4—21no—
540C4×D4—21no—
541C4×D4—21no—
542C4×D4—21no—
543C4×D4D4×C13912yes—
544C4×D4C23×C13911yescharacteristic
545C4×D4C23×C13911yescharacteristic
546C4×D4C23×C13911yescharacteristic
547#117—21no—
548#117—21no—
549C2×C4⋊C4—21no—
550C2×C22⋊C4—22no—
551C2×C42C23×C13911yescharacteristic
552#107—21no—
553#106—21no—
554#106—21no—
555#106—21no—
556C4⋊C8—21no—
557C4⋊C8—21no—
558C4⋊C8—21no—
559C4⋊C8C23×C13911yescharacteristic
560C4⋊C8C23×C13911yescharacteristic
561C4⋊C8C23×C13911yescharacteristic
562C4⋊C8C23×C13911yescharacteristic
563#103—21no—
564#103—22no—
565#102—21no—
566#102—21no—
567#102—21no—
568#102—22no—
569#102—21no—
570#102—21no—
571#102—21no—
572#102—21no—
573C22⋊C8—21no—
574C4×C8C23×C13911yescharacteristic
575C4×C8C23×C13911yescharacteristic
576C24—22no—
577#41—81no—
578#41—81no—
579#41—81no—
580#41—81no—
581#41—81no—
582#41—81no—
583#41—81no—
584#41—81no—
585#41—82no—
586C2×Q8—21no—
587C2×Q8—21no—
588C2×Q8—21no—
589C2×Q8C2×D4×C13911yescharacteristic
590C2×D4—22no—
591C2×D4—22no—
592C2×D4—22no—
593C2×D4—22no—
594C2×D4—22no—
595C2×D4—21no—
596C2×D4—21no—
597C2×D4—22no—
598C2×D4—21no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—21no—
602C2×D4—21no—
603C2×D4—21no—
604C2×D4—21no—
605C2×D4—21no—
606C2×D4—41no—
607C2×D4—81no—
608C2×D4—81no—
609C2×D4—81no—
610C2×D4—81no—
611C2×D4C2×D4×C13911yescharacteristic
612C2×D4C2×D4×C13911yescharacteristic
613C2×D4C2×D4×C13911yescharacteristic
614C2×D4C2×D4×C13912yes—
615C22×C4—22no—
616C22×C4—22no—
617C22×C4—21no—
618C22×C4—21no—
619C22×C4—21no—
620C22×C4—22no—
621C22×C4—41no—
622C22×C4C2×D4×C13911yescharacteristic
623C22×C4C2×D4×C13911yescharacteristic
624C22×C4C2×D4×C13911yescharacteristic
625SD16—81no—
626SD16—82no—
627D8—81no—
628D8—81no—
629D8—81no—
630D8—82no—
631M16—81no—
632C2×C8—21no—
633C2×C8—21no—
634C2×C8—21no—
635C2×C8—21no—
636C2×C8—21no—
637C2×C8—21no—
638C2×C8—81no—
639C4⋊C4—22no—
640C4⋊C4—22no—
641C4⋊C4—21no—
642C4⋊C4—21no—
643C4⋊C4—21no—
644C4⋊C4—21no—
645C4⋊C4—21no—
646C4⋊C4—21no—
647C4⋊C4—21no—
648C4⋊C4—21no—
649C4⋊C4C2×D4×C13912yes—
650C4⋊C4C2×D4×C13911yescharacteristic
651C4⋊C4C2×D4×C13911yescharacteristic
652C4⋊C4C2×D4×C13911yescharacteristic
653C4⋊C4C2×D4×C13911yescharacteristic
654C22⋊C4—22no—
655C22⋊C4—22no—
656C22⋊C4—22no—
657C22⋊C4—22no—
658C22⋊C4—22no—
659C22⋊C4—21no—
660C22⋊C4—21no—
661C22⋊C4—21no—
662C22⋊C4—21no—
663C22⋊C4—21no—
664C22⋊C4—21no—
665C22⋊C4—22no—
666C22⋊C4—22no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—21no—
670C22⋊C4—41no—
671C22⋊C4—41no—
672C42—22no—
673C42—21no—
674C42C2×D4×C13911yescharacteristic
675C42C2×D4×C13911yescharacteristic
676C42C2×D4×C13911yescharacteristic
677C42C24×C13911yescharacteristic
678C23—21no—
679C23—21no—
680C23—22no—
681C23—21no—
682C23—41no—
683C23—82no—
684C23—82no—
685C23—82no—
686C23#120×C13911yescharacteristic
687Q8—21no—
688Q8—21no—
689Q8—42no—
690Q8—41no—
691Q8—41no—
692Q8—81no—
693D4—21no—
694D4—21no—
695D4—21no—
696D4—21no—
697D4—21no—
698D4—21no—
699D4—42no—
700D4—42no—
701D4—41no—
702D4—41no—
703D4—41no—
704D4—41no—
705D4—41no—
706D4—41no—
707D4—41no—
708D4—41no—
709D4—81no—
710D4—81no—
711D4—81no—
712D4—81no—
713D4—82no—
714D4—81no—
715D4—82no—
716D4—82no—
717D4—82no—
718D4—82no—
719D4—82no—
720D4—82no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—21no—
724C2×C4—21no—
725C2×C4—21no—
726C2×C4—21no—
727C2×C4—21no—
728C2×C4—22no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—41no—
735C2×C4—41no—
736C2×C4—41no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—82no—
740C2×C4—82no—
741C2×C4—82no—
742C2×C4—82no—
743C2×C4#120×C13911yescharacteristic
744C2×C4#120×C13911yescharacteristic
745C2×C4#120×C13911yescharacteristic
746C2×C4C22×D4×C13911yescharacteristic
747C2×C4C22×D4×C13911yescharacteristic
748C2×C4C22×D4×C13911yescharacteristic
749C8—41no—
750C8—41no—
751C8—41no—
752C8—41no—
753C8—41no—
754C8—41no—
755C22—21no—
756C22—21no—
757C22—21no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—42no—
763C22—42no—
764C22—41no—
765C22—41no—
766C22—42no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22—81no—
771C22—81no—
772C22—81no—
773C22—164no—
774C22C2×#120×C13911yescharacteristic
775C4—21no—
776C4—21no—
777C4—21no—
778C4—21no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—42no—
784C4—41no—
785C4—81no—
786C4#576×C13911yescharacteristic
787C4#576×C13911yescharacteristic
788C4#577×C13911yescharacteristic
789C4#577×C13911yescharacteristic
790C2—41no—
791C2—81no—
792C2—81no—
793C2—82no—
794C2—81no—
795C2—161no—
796C2#3012×C13911yescharacteristic
797C2#3012×C13911yescharacteristic
798C2#3021×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC42C24×C139
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C2×C42×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3546×C139C2semidirect
2. #3253×C139C2semidirect
3. #3247×C139C2semidirect
4. #3207×C139C2semidirect
5. #1638×C139C2semidirect
6. #1635×C139C2semidirect
7. #1631×C139C2semidirect
8. #1629×C139C2semidirect
9. #1628×C139C2semidirect
10. #1625×C139C2semidirect
11. #1621×C139C2semidirect
12. #1619×C139C2semidirect
13. #1547×C139C2semidirect
14. #1495×C139C2semidirect
15. #1480×C139C2semidirect
32. #532×C139C22semidirect
36. #487×C139C22semidirect
37. #486×C139C22semidirect
39. #477×C139C22semidirect
43. #476×C139C22semidirect
50. #460×C139C22semidirect
54. #459×C139C22semidirect
56. #431×C139C22semidirect
57. #423×C139C22semidirect
58. C2×C4⋊C8×C139C22semidirect
59. #332×C139C22semidirect
60. #332×C139C22semidirect
63. Q8⋊C8×C139C22semidirect
64. Q8⋊C8×C139C22semidirect
69. D4⋊C8×C139C22semidirect
70. D4⋊C8×C139C22semidirect
399. #18962C139direct (N × H)
400. C139#18962direct (N × H)
401. #3546C2×C139semidirect
402. #3253C2×C139semidirect
403. #3247C2×C139semidirect
404. #3207C2×C139semidirect
405. #1638C2×C139semidirect
406. #1635C2×C139semidirect
407. #1631C2×C139semidirect
408. #1629C2×C139semidirect
409. #1628C2×C139semidirect
410. #1625C2×C139semidirect
411. #1621C2×C139semidirect
412. #1619C2×C139semidirect
413. #1547C2×C139semidirect
414. #1495C2×C139semidirect
415. #1480C2×C139semidirect
432. #532C22×C139semidirect
436. #487C22×C139semidirect
437. #486C22×C139semidirect
439. #477C22×C139semidirect
443. #476C22×C139semidirect
450. #460C22×C139semidirect
454. #459C22×C139semidirect
456. #431C22×C139semidirect
457. #423C22×C139semidirect
458. C2×C4⋊C8C22×C139semidirect
459. #332C22×C139semidirect
460. #332C22×C139semidirect
463. Q8⋊C8C22×C139semidirect
464. Q8⋊C8C22×C139semidirect
469. D4⋊C8C22×C139semidirect
470. D4⋊C8C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3546×C1392
#3253×C1392
#3247×C1392
#3207×C1392
#1638×C1392
#1635×C1392
#1631×C1392
#1629×C1392
#1628×C1392
#1625×C1392
#1621×C1392
#1619×C1392
#1547×C1392
#1495×C1392
#1480×C1392
#18962139