Finite Group Databasebeta

← C139×#18738 #48013334

Subgroups — C139×#18738 #48013334

Order 35584.

972 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3546×C139C211yesmaximal, characteristic, complemented
2#3245×C139C211yesmaximal, characteristic, complemented
3#3212×C139C211yesmaximal, characteristic, complemented
4#3184×C139C211yesmaximal, characteristic, complemented
5#1654×C139C211yesmaximal, characteristic, complemented
6#1652×C139C211yesmaximal, characteristic, complemented
7#1641×C139C211yesmaximal, characteristic, complemented
8#1639×C139C211yesmaximal, characteristic, complemented
9#1628×C139C211yesmaximal, characteristic, complemented
10#1625×C139C211yesmaximal, characteristic, complemented
11#1621×C139C211yesmaximal, characteristic, complemented
12#1619×C139C211yesmaximal, characteristic, complemented
13#1540×C139C211yesmaximal, characteristic, complemented
14#1484×C139C211yesmaximal, characteristic, complemented
15#1483×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#498×C139C2211yescharacteristic, complemented
35#495×C139—21no—
36#493×C139C2211yescharacteristic
37#488×C139—21no—
38#486×C139C2211yescharacteristic
39#486×C139C2211yescharacteristic, complemented
40#474×C139—21no—
41#474×C139C2211yescharacteristic
42#474×C139C2211yescharacteristic, complemented
43#469×C139—22no—
44#466×C139—21no—
45#466×C139—21no—
46#462×C139C2211yescharacteristic, complemented
47#461×C139C2211yescharacteristic
48#460×C139C2211yescharacteristic, complemented
49#459×C139—21no—
50#459×C139C2211yescharacteristic
51#459×C139C2211yescharacteristic
52#459×C139C2211yescharacteristic, complemented
53#452×C139—21no—
54#449×C139—21no—
55#442×C139—22no—
56#431×C139C2211yescharacteristic, complemented
57C2×C4⋊C8×C139C2211yescharacteristic, complemented
58C4×M16×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×Q16×C139—21no—
79C2×SD16×C139—21no—
80C2×SD16×C139—21no—
81C2×D8×C139—22no—
82C2×D8×C139—21no—
83C2×D8×C139—21no—
84C2×D8×C139—21no—
85C2×M16×C139—21no—
86C22×C8×C139—21no—
87C4⋊Q8×C139D411yescharacteristic
88C4⋊Q8×C139C2311yescharacteristic
89C4⋊Q8×C139C2311yescharacteristic
90#127×C139—22no—
91#127×C139—21no—
92#127×C139D411yescharacteristic
93#127×C139C2311yescharacteristic
94#127×C139C2311yescharacteristic
95#126×C139—22no—
96#126×C139—22no—
97#126×C139—21no—
98#125×C139D411yescharacteristic
99#124×C139—22no—
100#124×C139—21no—
101#124×C139—21no—
102#124×C139—21no—
103#124×C139—21no—
104#124×C139D411yescharacteristic
105#123×C139—22no—
106#123×C139—22no—
107#123×C139—21no—
108#123×C139—22no—
109C22⋊Q8×C139—22no—
110C22⋊Q8×C139—21no—
111C22⋊Q8×C139—21no—
112C22⋊Q8×C139D411yescharacteristic
113#121×C139—22no—
114#121×C139—22no—
115#121×C139—22no—
116#121×C139—22no—
117#121×C139—22no—
118#121×C139—21no—
119#121×C139—22no—
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×C139—21no—
127#121×C139D411yescharacteristic
128#121×C139D411yescharacteristic
129#121×C139D411yescharacteristic
130#121×C139D412yes—
131#120×C139—22no—
132#120×C139—22no—
133#120×C139—22no—
134#120×C139—22no—
135C4×Q8×C139—21no—
136C4×Q8×C139C2311yescharacteristic
137C4×D4×C139—22no—
138C4×D4×C139—21no—
139C4×D4×C139—21no—
140C4×D4×C139—21no—
141C4×D4×C139—21no—
142C4×D4×C139—21no—
143C4×D4×C139—21no—
144C4×D4×C139D412yes—
145C4×D4×C139C2311yescharacteristic
146C4×D4×C139C2311yescharacteristic
147C4×D4×C139C2311yescharacteristic
148#117×C139—21no—
149#117×C139—21no—
150C2×C4⋊C4×C139—21no—
151C2×C22⋊C4×C139—22no—
152C2×C42×C139C2311yescharacteristic
153#107×C139—21no—
154#107×C139—21no—
155#106×C139—22no—
156C4⋊C8×C139—21no—
157C4⋊C8×C139C2311yescharacteristic
158C4⋊C8×C139C2311yescharacteristic
159C4⋊C8×C139C2311yescharacteristic
160C4⋊C8×C139C2311yescharacteristic
161#103×C139—21no—
162#103×C139—21no—
163#102×C139—22no—
164#102×C139—21no—
165#102×C139—21no—
166#102×C139—22no—
167#102×C139—21no—
168#102×C139—21no—
169#102×C139—21no—
170#102×C139—21no—
171C22⋊C8×C139—21no—
172#97×C139—21no—
173C4×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—81no—
186#41×C139—81no—
187C2×Q8×C139—21no—
188C2×Q8×C139—21no—
189C2×Q8×C139—21no—
190C2×Q8×C139C2×D411yescharacteristic
191C2×D4×C139—22no—
192C2×D4×C139—22no—
193C2×D4×C139—22no—
194C2×D4×C139—22no—
195C2×D4×C139—22no—
196C2×D4×C139—21no—
197C2×D4×C139—21no—
198C2×D4×C139—22no—
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—21no—
207C2×D4×C139—41no—
208C2×D4×C139—81no—
209C2×D4×C139—81no—
210C2×D4×C139—81no—
211C2×D4×C139—81no—
212C2×D4×C139C2×D411yescharacteristic
213C2×D4×C139C2×D411yescharacteristic
214C2×D4×C139C2×D411yescharacteristic
215C2×D4×C139C2×D412yes—
216C22×C4×C139—22no—
217C22×C4×C139—22no—
218C22×C4×C139—21no—
219C22×C4×C139—21no—
220C22×C4×C139—21no—
221C22×C4×C139—22no—
222C22×C4×C139—41no—
223C22×C4×C139C2×D411yescharacteristic
224C22×C4×C139C2×D411yescharacteristic
225C22×C4×C139C2×D411yescharacteristic
226Q16×C139—81no—
227SD16×C139—81no—
228SD16×C139—81no—
229D8×C139—44no—
230D8×C139—81no—
231D8×C139—81no—
232D8×C139—81no—
233M16×C139—42no—
234C2×C8×C139—21no—
235C2×C8×C139—21no—
236C2×C8×C139—21no—
237C2×C8×C139—21no—
238C2×C8×C139—21no—
239C2×C8×C139—21no—
240C2×C8×C139—81no—
241C4⋊C4×C139—22no—
242C4⋊C4×C139—22no—
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×C139—21no—
250C4⋊C4×C139—21no—
251C4⋊C4×C139C2×D411yescharacteristic
252C4⋊C4×C139C2×D411yescharacteristic
253C4⋊C4×C139C2×D412yes—
254C4⋊C4×C139C2×D411yescharacteristic
255C4⋊C4×C139C2×D411yescharacteristic
256C22⋊C4×C139—22no—
257C22⋊C4×C139—22no—
258C22⋊C4×C139—22no—
259C22⋊C4×C139—22no—
260C22⋊C4×C139—22no—
261C22⋊C4×C139—21no—
262C22⋊C4×C139—21no—
263C22⋊C4×C139—21no—
264C22⋊C4×C139—21no—
265C22⋊C4×C139—21no—
266C22⋊C4×C139—21no—
267C22⋊C4×C139—22no—
268C22⋊C4×C139—22no—
269C22⋊C4×C139—21no—
270C22⋊C4×C139—21no—
271C22⋊C4×C139—21no—
272C22⋊C4×C139—41no—
273C22⋊C4×C139—41no—
274C42×C139—22no—
275C42×C139—21no—
276C42×C139C2×D411yescharacteristic
277C42×C139C2×D411yescharacteristic
278C42×C139C2×D411yescharacteristic
279C42×C139C2411yescharacteristic
280C23×C139—21no—
281C23×C139—21no—
282C23×C139—22no—
283C23×C139—21no—
284C23×C139—41no—
285C23×C139—82no—
286C23×C139—82no—
287C23×C139—82no—
288C23×C139#12011yescharacteristic
289Q8×C139—21no—
290Q8×C139—21no—
291Q8×C139—41no—
292Q8×C139—41no—
293Q8×C139—41no—
294Q8×C139—41no—
295Q8×C139—81no—
296D4×C139—21no—
297D4×C139—21no—
298D4×C139—21no—
299D4×C139—21no—
300D4×C139—21no—
301D4×C139—21no—
302D4×C139—42no—
303D4×C139—42no—
304D4×C139—41no—
305D4×C139—41no—
306D4×C139—41no—
307D4×C139—41no—
308D4×C139—41no—
309D4×C139—41no—
310D4×C139—41no—
311D4×C139—41no—
312D4×C139—81no—
313D4×C139—81no—
314D4×C139—81no—
315D4×C139—81no—
316D4×C139—81no—
317D4×C139—82no—
318D4×C139—82no—
319D4×C139—82no—
320D4×C139—82no—
321D4×C139—82no—
322D4×C139—82no—
323D4×C139—82no—
324C2×C4×C139—21no—
325C2×C4×C139—21no—
326C2×C4×C139—21no—
327C2×C4×C139—21no—
328C2×C4×C139—21no—
329C2×C4×C139—21no—
330C2×C4×C139—21no—
331C2×C4×C139—22no—
332C2×C4×C139—21no—
333C2×C4×C139—21no—
334C2×C4×C139—41no—
335C2×C4×C139—41no—
336C2×C4×C139—41no—
337C2×C4×C139—41no—
338C2×C4×C139—41no—
339C2×C4×C139—41no—
340C2×C4×C139—41no—
341C2×C4×C139—41no—
342C2×C4×C139—82no—
343C2×C4×C139—82no—
344C2×C4×C139—82no—
345C2×C4×C139—82no—
346C2×C4×C139#12011yescharacteristic
347C2×C4×C139#12011yescharacteristic
348C2×C4×C139#12011yescharacteristic
349C2×C4×C139C22×D411yescharacteristic
350C2×C4×C139C22×D411yescharacteristic
351C2×C4×C139C22×D411yescharacteristic
352C8×C139—22no—
353C8×C139—41no—
354C8×C139—41no—
355C8×C139—41no—
356C8×C139—41no—
357C8×C139—41no—
358C22×C139—21no—
359C22×C139—21no—
360C22×C139—21no—
361C22×C139—41no—
362C22×C139—41no—
363C22×C139—42no—
364C22×C139—41no—
365C22×C139—41no—
366C22×C139—41no—
367C22×C139—42no—
368C22×C139—41no—
369C22×C139—42no—
370C22×C139—41no—
371C22×C139—41no—
372C22×C139—41no—
373C22×C139—81no—
374C22×C139—81no—
375C22×C139—81no—
376C22×C139—164no—
377C22×C139C2×#12011yescharacteristic
378C4×C139—21no—
379C4×C139—21no—
380C4×C139—21no—
381C4×C139—21no—
382C4×C139—41no—
383C4×C139—41no—
384C4×C139—41no—
385C4×C139—41no—
386C4×C139—42no—
387C4×C139—41no—
388C4×C139—81no—
389C4×C139#57611yescharacteristic
390C4×C139#57611yescharacteristic
391C4×C139#57611yescharacteristic
392C4×C139#57711yescharacteristic
393C2×C139—41no—
394C2×C139—81no—
395C2×C139—82no—
396C2×C139—81no—
397C2×C139—81no—
398C2×C139—161no—
399C2×C139#300811yescharacteristic
400C2×C139#301211yescharacteristic
401C2×C139#301811yescharacteristic
402#18738C13911yesmaximal, characteristic, direct product factor, Sylow
403C139#1873811yescharacteristic, direct product factor, Sylow
404#3546C2×C13911yescharacteristic, complemented
405#3245C2×C13911yescharacteristic, complemented
406#3212C2×C13911yescharacteristic, complemented
407#3184C2×C13911yescharacteristic, complemented
408#1654C2×C13911yescharacteristic, complemented
409#1652C2×C13911yescharacteristic, complemented
410#1641C2×C13911yescharacteristic, complemented
411#1639C2×C13911yescharacteristic, complemented
412#1628C2×C13911yescharacteristic, complemented
413#1625C2×C13911yescharacteristic, complemented
414#1621C2×C13911yescharacteristic, complemented
415#1619C2×C13911yescharacteristic, complemented
416#1540C2×C13911yescharacteristic, complemented
417#1484C2×C13911yescharacteristic, complemented
418#1483C2×C13911yescharacteristic, complemented
419#560—22no—
420#556C22×C13911yescharacteristic
421#553—21no—
422#550—21no—
423#550C22×C13911yescharacteristic
424#547C22×C13911yescharacteristic
425#546—21no—
426#546—21no—
427D42C22×C13911yescharacteristic
428#542—21no—
429#538—22no—
430#537—21no—
431#535—21no—
432#535—21no—
433#532C22×C13911yescharacteristic
434#532C22×C13911yescharacteristic
435#532C22×C13911yescharacteristic, complemented
436#529C22×C13911yescharacteristic
437#498C22×C13911yescharacteristic, complemented
438#495—21no—
439#493C22×C13911yescharacteristic
440#488—21no—
441#486C22×C13911yescharacteristic
442#486C22×C13911yescharacteristic, complemented
443#474—21no—
444#474C22×C13911yescharacteristic
445#474C22×C13911yescharacteristic, complemented
446#469—22no—
447#466—21no—
448#466—21no—
449#462C22×C13911yescharacteristic, complemented
450#461C22×C13911yescharacteristic
451#460C22×C13911yescharacteristic, complemented
452#459—21no—
453#459C22×C13911yescharacteristic
454#459C22×C13911yescharacteristic
455#459C22×C13911yescharacteristic, complemented
456#452—21no—
457#449—21no—
458#442—22no—
459#431C22×C13911yescharacteristic, complemented
460C2×C4⋊C8C22×C13911yescharacteristic, complemented
461C4×M16C22×C13911yescharacteristic, complemented
462#332C22×C13911yescharacteristic, complemented
463#332C22×C13911yescharacteristic, complemented
464#331C22×C13911yescharacteristic
465#331C22×C13911yescharacteristic
466Q8⋊C8C22×C13911yescharacteristic, complemented
467Q8⋊C8C22×C13911yescharacteristic, complemented
468D4⋊C8C22×C13911yescharacteristic
469D4⋊C8C22×C13911yescharacteristic
470D4⋊C8C22×C13911yescharacteristic
471D4⋊C8C22×C13911yescharacteristic
472D4⋊C8C22×C13911yescharacteristic, complemented
473D4⋊C8C22×C13911yescharacteristic, complemented
474C2×#41—21no—
475C2×#41—21no—
476C2×#41—21no—
477C2×#41—21no—
478C2×#41—21no—
479C22×D4—21no—
480C22×D4—21no—
481C2×Q16—21no—
482C2×SD16—21no—
483C2×SD16—21no—
484C2×D8—22no—
485C2×D8—21no—
486C2×D8—21no—
487C2×D8—21no—
488C2×M16—21no—
489C22×C8—21no—
490C4⋊Q8D4×C13911yescharacteristic
491C4⋊Q8C23×C13911yescharacteristic
492C4⋊Q8C23×C13911yescharacteristic
493#127—22no—
494#127—21no—
495#127D4×C13911yescharacteristic
496#127C23×C13911yescharacteristic
497#127C23×C13911yescharacteristic
498#126—22no—
499#126—22no—
500#126—21no—
501#125D4×C13911yescharacteristic
502#124—22no—
503#124—21no—
504#124—21no—
505#124—21no—
506#124—21no—
507#124D4×C13911yescharacteristic
508#123—22no—
509#123—22no—
510#123—21no—
511#123—22no—
512C22⋊Q8—22no—
513C22⋊Q8—21no—
514C22⋊Q8—21no—
515C22⋊Q8D4×C13911yescharacteristic
516#121—22no—
517#121—22no—
518#121—22no—
519#121—22no—
520#121—22no—
521#121—21no—
522#121—22no—
523#121—21no—
524#121—21no—
525#121—21no—
526#121—21no—
527#121—21no—
528#121—21no—
529#121—21no—
530#121D4×C13911yescharacteristic
531#121D4×C13911yescharacteristic
532#121D4×C13911yescharacteristic
533#121D4×C13912yes—
534#120—22no—
535#120—22no—
536#120—22no—
537#120—22no—
538C4×Q8—21no—
539C4×Q8C23×C13911yescharacteristic
540C4×D4—22no—
541C4×D4—21no—
542C4×D4—21no—
543C4×D4—21no—
544C4×D4—21no—
545C4×D4—21no—
546C4×D4—21no—
547C4×D4D4×C13912yes—
548C4×D4C23×C13911yescharacteristic
549C4×D4C23×C13911yescharacteristic
550C4×D4C23×C13911yescharacteristic
551#117—21no—
552#117—21no—
553C2×C4⋊C4—21no—
554C2×C22⋊C4—22no—
555C2×C42C23×C13911yescharacteristic
556#107—21no—
557#107—21no—
558#106—22no—
559C4⋊C8—21no—
560C4⋊C8C23×C13911yescharacteristic
561C4⋊C8C23×C13911yescharacteristic
562C4⋊C8C23×C13911yescharacteristic
563C4⋊C8C23×C13911yescharacteristic
564#103—21no—
565#103—21no—
566#102—22no—
567#102—21no—
568#102—21no—
569#102—22no—
570#102—21no—
571#102—21no—
572#102—21no—
573#102—21no—
574C22⋊C8—21no—
575#97—21no—
576C4×C8—21no—
577C4×C8C23×C13911yescharacteristic
578C4×C8C23×C13911yescharacteristic
579C24—22no—
580#41—81no—
581#41—81no—
582#41—81no—
583#41—81no—
584#41—81no—
585#41—81no—
586#41—81no—
587#41—81no—
588#41—81no—
589#41—81no—
590C2×Q8—21no—
591C2×Q8—21no—
592C2×Q8—21no—
593C2×Q8C2×D4×C13911yescharacteristic
594C2×D4—22no—
595C2×D4—22no—
596C2×D4—22no—
597C2×D4—22no—
598C2×D4—22no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—22no—
602C2×D4—21no—
603C2×D4—21no—
604C2×D4—21no—
605C2×D4—21no—
606C2×D4—21no—
607C2×D4—21no—
608C2×D4—21no—
609C2×D4—21no—
610C2×D4—41no—
611C2×D4—81no—
612C2×D4—81no—
613C2×D4—81no—
614C2×D4—81no—
615C2×D4C2×D4×C13911yescharacteristic
616C2×D4C2×D4×C13911yescharacteristic
617C2×D4C2×D4×C13911yescharacteristic
618C2×D4C2×D4×C13912yes—
619C22×C4—22no—
620C22×C4—22no—
621C22×C4—21no—
622C22×C4—21no—
623C22×C4—21no—
624C22×C4—22no—
625C22×C4—41no—
626C22×C4C2×D4×C13911yescharacteristic
627C22×C4C2×D4×C13911yescharacteristic
628C22×C4C2×D4×C13911yescharacteristic
629Q16—81no—
630SD16—81no—
631SD16—81no—
632D8—44no—
633D8—81no—
634D8—81no—
635D8—81no—
636M16—42no—
637C2×C8—21no—
638C2×C8—21no—
639C2×C8—21no—
640C2×C8—21no—
641C2×C8—21no—
642C2×C8—21no—
643C2×C8—81no—
644C4⋊C4—22no—
645C4⋊C4—22no—
646C4⋊C4—21no—
647C4⋊C4—21no—
648C4⋊C4—21no—
649C4⋊C4—21no—
650C4⋊C4—21no—
651C4⋊C4—21no—
652C4⋊C4—21no—
653C4⋊C4—21no—
654C4⋊C4C2×D4×C13911yescharacteristic
655C4⋊C4C2×D4×C13911yescharacteristic
656C4⋊C4C2×D4×C13912yes—
657C4⋊C4C2×D4×C13911yescharacteristic
658C4⋊C4C2×D4×C13911yescharacteristic
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—22no—
662C22⋊C4—22no—
663C22⋊C4—22no—
664C22⋊C4—21no—
665C22⋊C4—21no—
666C22⋊C4—21no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—21no—
670C22⋊C4—22no—
671C22⋊C4—22no—
672C22⋊C4—21no—
673C22⋊C4—21no—
674C22⋊C4—21no—
675C22⋊C4—41no—
676C22⋊C4—41no—
677C42—22no—
678C42—21no—
679C42C2×D4×C13911yescharacteristic
680C42C2×D4×C13911yescharacteristic
681C42C2×D4×C13911yescharacteristic
682C42C24×C13911yescharacteristic
683C23—21no—
684C23—21no—
685C23—22no—
686C23—21no—
687C23—41no—
688C23—82no—
689C23—82no—
690C23—82no—
691C23#120×C13911yescharacteristic
692Q8—21no—
693Q8—21no—
694Q8—41no—
695Q8—41no—
696Q8—41no—
697Q8—41no—
698Q8—81no—
699D4—21no—
700D4—21no—
701D4—21no—
702D4—21no—
703D4—21no—
704D4—21no—
705D4—42no—
706D4—42no—
707D4—41no—
708D4—41no—
709D4—41no—
710D4—41no—
711D4—41no—
712D4—41no—
713D4—41no—
714D4—41no—
715D4—81no—
716D4—81no—
717D4—81no—
718D4—81no—
719D4—82no—
720D4—81no—
721D4—82no—
722D4—82no—
723D4—82no—
724D4—82no—
725D4—82no—
726D4—82no—
727C2×C4—21no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—21no—
732C2×C4—21no—
733C2×C4—21no—
734C2×C4—22no—
735C2×C4—21no—
736C2×C4—21no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—41no—
741C2×C4—41no—
742C2×C4—41no—
743C2×C4—41no—
744C2×C4—41no—
745C2×C4—82no—
746C2×C4—82no—
747C2×C4—82no—
748C2×C4—82no—
749C2×C4#120×C13911yescharacteristic
750C2×C4#120×C13911yescharacteristic
751C2×C4#120×C13911yescharacteristic
752C2×C4C22×D4×C13911yescharacteristic
753C2×C4C22×D4×C13911yescharacteristic
754C2×C4C22×D4×C13911yescharacteristic
755C8—22no—
756C8—41no—
757C8—41no—
758C8—41no—
759C8—41no—
760C8—41no—
761C22—21no—
762C22—21no—
763C22—21no—
764C22—41no—
765C22—41no—
766C22—42no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22—42no—
771C22—41no—
772C22—42no—
773C22—41no—
774C22—41no—
775C22—41no—
776C22—81no—
777C22—81no—
778C22—81no—
779C22—164no—
780C22C2×#120×C13911yescharacteristic
781C4—21no—
782C4—21no—
783C4—21no—
784C4—21no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—41no—
789C4—42no—
790C4—41no—
791C4—81no—
792C4#576×C13911yescharacteristic
793C4#576×C13911yescharacteristic
794C4#576×C13911yescharacteristic
795C4#577×C13911yescharacteristic
796C2—41no—
797C2—81no—
798C2—81no—
799C2—82no—
800C2—81no—
801C2—161no—
802C2#3008×C13911yescharacteristic
803C2#3012×C13911yescharacteristic
804C2#3018×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. #3245×C139C2semidirect
3. #3212×C139C2semidirect
4. #3184×C139C2semidirect
5. #1654×C139C2semidirect
6. #1652×C139C2semidirect
7. #1641×C139C2semidirect
8. #1639×C139C2semidirect
9. #1628×C139C2semidirect
10. #1625×C139C2semidirect
11. #1621×C139C2semidirect
12. #1619×C139C2semidirect
13. #1540×C139C2semidirect
14. #1484×C139C2semidirect
15. #1483×C139C2semidirect
32. #532×C139C22semidirect
34. #498×C139C22semidirect
39. #486×C139C22semidirect
42. #474×C139C22semidirect
46. #462×C139C22semidirect
48. #460×C139C22semidirect
52. #459×C139C22semidirect
56. #431×C139C22semidirect
57. C2×C4⋊C8×C139C22semidirect
58. C4×M16×C139C22semidirect
59. #332×C139C22semidirect
60. #332×C139C22semidirect
63. Q8⋊C8×C139C22semidirect
64. Q8⋊C8×C139C22semidirect
69. D4⋊C8×C139C22semidirect
70. D4⋊C8×C139C22semidirect
402. #18738C139direct (N × H)
403. C139#18738direct (N × H)
404. #3546C2×C139semidirect
405. #3245C2×C139semidirect
406. #3212C2×C139semidirect
407. #3184C2×C139semidirect
408. #1654C2×C139semidirect
409. #1652C2×C139semidirect
410. #1641C2×C139semidirect
411. #1639C2×C139semidirect
412. #1628C2×C139semidirect
413. #1625C2×C139semidirect
414. #1621C2×C139semidirect
415. #1619C2×C139semidirect
416. #1540C2×C139semidirect
417. #1484C2×C139semidirect
418. #1483C2×C139semidirect
435. #532C22×C139semidirect
437. #498C22×C139semidirect
442. #486C22×C139semidirect
445. #474C22×C139semidirect
449. #462C22×C139semidirect
451. #460C22×C139semidirect
455. #459C22×C139semidirect
459. #431C22×C139semidirect
460. C2×C4⋊C8C22×C139semidirect
461. C4×M16C22×C139semidirect
462. #332C22×C139semidirect
463. #332C22×C139semidirect
466. Q8⋊C8C22×C139semidirect
467. Q8⋊C8C22×C139semidirect
472. D4⋊C8C22×C139semidirect
473. 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
#3245×C1392
#3212×C1392
#3184×C1392
#1654×C1392
#1652×C1392
#1641×C1392
#1639×C1392
#1628×C1392
#1625×C1392
#1621×C1392
#1619×C1392
#1540×C1392
#1484×C1392
#1483×C1392
#18738139