Finite Group Databasebeta

← C139×#18931 #48013527

Subgroups — C139×#18931 #48013527

Order 35584.

986 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3543×C139C211yesmaximal, characteristic
2#3252×C139C211yesmaximal, characteristic, complemented
3#3233×C139C211yesmaximal, characteristic, complemented
4#3208×C139C211yesmaximal, characteristic, complemented
5#1642×C139C211yesmaximal, characteristic, complemented
6#1641×C139C211yesmaximal, characteristic, complemented
7#1640×C139C211yesmaximal, characteristic, complemented
8#1639×C139C211yesmaximal, characteristic, complemented
9#1631×C139C211yesmaximal, characteristic, complemented
10#1631×C139C211yesmaximal, characteristic, complemented
11#1630×C139C211yesmaximal, characteristic, complemented
12#1629×C139C211yesmaximal, characteristic, complemented
13#1545×C139C211yesmaximal, characteristic, complemented
14#1495×C139C211yesmaximal, characteristic, complemented
15#1482×C139C211yesmaximal, characteristic, complemented
16#560×C139—22no—
17#559×C139C2211yescharacteristic
18#550×C139C2211yescharacteristic
19#550×C139C2211yescharacteristic
20#546×C139—21no—
21#546×C139—21no—
22D42×C139—21no—
23D42×C139—21no—
24D42×C139C2211yescharacteristic
25#540×C139—21no—
26#540×C139—21no—
27#535×C139—21no—
28#535×C139—21no—
29#534×C139—22no—
30#533×C139C2211yescharacteristic, complemented
31C2×#127×C139C2211yescharacteristic
32#529×C139C2211yescharacteristic
33#529×C139C2211yescharacteristic
34#499×C139—21no—
35#492×C139C2211yescharacteristic
36#492×C139C2211yescharacteristic, complemented
37#488×C139—21no—
38#486×C139C2211yescharacteristic
39#486×C139C2211yescharacteristic, complemented
40#485×C139—21no—
41#482×C139—21no—
42#479×C139—21no—
43#477×C139C2211yescharacteristic, complemented
44#477×C139C2211yescharacteristic, complemented
45#476×C139C2211yescharacteristic, complemented
46#476×C139C2211yescharacteristic, complemented
47#475×C139C2211yescharacteristic, complemented
48#474×C139C2211yescharacteristic, complemented
49#470×C139—21no—
50#468×C139—21no—
51#464×C139—21no—
52#462×C139C2211yescharacteristic, complemented
53#461×C139C2211yescharacteristic, complemented
54#460×C139—22no—
55#450×C139—22no—
56#431×C139C2211yescharacteristic, complemented
57#431×C139C2211yescharacteristic, complemented
58#423×C139C2211yescharacteristic, complemented
59#331×C139C2211yescharacteristic
60#331×C139C2211yescharacteristic
61#331×C139C2211yescharacteristic, complemented
62#331×C139C2211yescharacteristic, complemented
63Q8⋊C8×C139C2211yescharacteristic, complemented
64Q8⋊C8×C139C2211yescharacteristic, complemented
65Q8⋊C8×C139C2211yescharacteristic, complemented
66Q8⋊C8×C139C2211yescharacteristic, complemented
67D4⋊C8×C139C2211yescharacteristic, complemented
68D4⋊C8×C139C2211yescharacteristic, complemented
69D4⋊C8×C139C2211yescharacteristic, complemented
70D4⋊C8×C139C2211yescharacteristic, complemented
71C2×#41×C139—21no—
72C2×#41×C139—21no—
73C22×D4×C139—22no—
74C22×D4×C139—21no—
75C22×D4×C139—21no—
76C22×D4×C139—21no—
77C22×D4×C139—21no—
78C22×D4×C139D412yes—
79C2×Q16×C139—21no—
80C2×SD16×C139—22no—
81C2×SD16×C139—22no—
82C2×SD16×C139—21no—
83C2×M16×C139—21no—
84C4⋊Q8×C139C2311yescharacteristic
85C4⋊Q8×C139C2311yescharacteristic
86#127×C139—21no—
87#127×C139—21no—
88#127×C139—21no—
89#127×C139—21no—
90#127×C139D412yes—
91#127×C139C2311yescharacteristic
92#127×C139C2311yescharacteristic
93#126×C139—21no—
94#126×C139—21no—
95#125×C139—21no—
96#125×C139D411yescharacteristic
97#125×C139D411yescharacteristic
98#124×C139—21no—
99#124×C139—21no—
100#124×C139D411yescharacteristic
101#124×C139D411yescharacteristic
102#123×C139—22no—
103#123×C139—22no—
104#123×C139—22no—
105#123×C139—22no—
106#123×C139—21no—
107#123×C139—21no—
108C22⋊Q8×C139—21no—
109C22⋊Q8×C139—21no—
110C22⋊Q8×C139D411yescharacteristic
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—22no—
118#121×C139—22no—
119#121×C139—22no—
120#121×C139—21no—
121#121×C139—21no—
122#121×C139—21no—
123#121×C139—21no—
124#121×C139D411yescharacteristic
125#121×C139D411yescharacteristic
126#120×C139—22no—
127#120×C139—22no—
128#120×C139—22no—
129#120×C139—22no—
130#120×C139—22no—
131#120×C139—22no—
132C4×Q8×C139—21no—
133C4×Q8×C139—21no—
134C4×Q8×C139C2311yescharacteristic
135C4×Q8×C139C2311yescharacteristic
136C4×D4×C139—21no—
137C4×D4×C139—21no—
138C4×D4×C139—21no—
139C4×D4×C139—21no—
140C4×D4×C139—21no—
141C4×D4×C139—21no—
142C4×D4×C139C2311yescharacteristic
143C4×D4×C139C2311yescharacteristic
144#117×C139—21no—
145#117×C139—21no—
146#117×C139—21no—
147C2×C22⋊C4×C139—22no—
148C2×C42×C139C2311yescharacteristic
149#107×C139—21no—
150#107×C139—21no—
151#107×C139—21no—
152#106×C139—21no—
153#106×C139—21no—
154#106×C139—21no—
155C4⋊C8×C139—21no—
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#103×C139—21no—
164#103×C139—21no—
165#103×C139—21no—
166#102×C139—22no—
167#102×C139—22no—
168#102×C139—21no—
169#102×C139—21no—
170#102×C139—21no—
171C22⋊C8×C139—21no—
172C22⋊C8×C139—21no—
173C4×C8×C139—21no—
174C4×C8×C139C2311yescharacteristic
175C4×C8×C139C2311yescharacteristic
176C24×C139—22no—
177C24×C139—22no—
178#41×C139—81no—
179#41×C139—81no—
180#41×C139—81no—
181#41×C139—81no—
182C2×Q8×C139—21no—
183C2×Q8×C139—21no—
184C2×Q8×C139C2×D411yescharacteristic
185C2×Q8×C139C2×D411yescharacteristic
186C2×D4×C139—21no—
187C2×D4×C139—21no—
188C2×D4×C139—22no—
189C2×D4×C139—22no—
190C2×D4×C139—22no—
191C2×D4×C139—22no—
192C2×D4×C139—22no—
193C2×D4×C139—22no—
194C2×D4×C139—22no—
195C2×D4×C139—22no—
196C2×D4×C139—22no—
197C2×D4×C139—21no—
198C2×D4×C139—21no—
199C2×D4×C139—21no—
200C2×D4×C139—21no—
201C2×D4×C139—81no—
202C2×D4×C139—81no—
203C2×D4×C139—81no—
204C2×D4×C139—81no—
205C2×D4×C139—81no—
206C2×D4×C139—81no—
207C2×D4×C139—81no—
208C2×D4×C139—81no—
209C2×D4×C139—82no—
210C2×D4×C139—84no—
211C2×D4×C139C2×D411yescharacteristic
212C2×D4×C139C2×D411yescharacteristic
213C2×D4×C139C2×D412yes—
214C2×D4×C139C2×D412yes—
215C22×C4×C139—22no—
216C22×C4×C139—22no—
217C22×C4×C139—22no—
218C22×C4×C139—21no—
219C22×C4×C139—21no—
220C22×C4×C139C2×D411yescharacteristic
221C22×C4×C139C2×D411yescharacteristic
222C22×C4×C139C2×D411yescharacteristic
223Q16×C139—81no—
224SD16×C139—81no—
225SD16×C139—82no—
226SD16×C139—82no—
227M16×C139—81no—
228C2×C8×C139—21no—
229C2×C8×C139—21no—
230C2×C8×C139—21no—
231C2×C8×C139—21no—
232C2×C8×C139—21no—
233C2×C8×C139—21no—
234C4⋊C4×C139—21no—
235C4⋊C4×C139—21no—
236C4⋊C4×C139—21no—
237C4⋊C4×C139—21no—
238C4⋊C4×C139—21no—
239C4⋊C4×C139—21no—
240C4⋊C4×C139—21no—
241C4⋊C4×C139—21no—
242C4⋊C4×C139—21no—
243C4⋊C4×C139—21no—
244C4⋊C4×C139—21no—
245C4⋊C4×C139—21no—
246C4⋊C4×C139—41no—
247C4⋊C4×C139—41no—
248C4⋊C4×C139C2×D411yescharacteristic
249C4⋊C4×C139C2×D411yescharacteristic
250C4⋊C4×C139C2×D411yescharacteristic
251C4⋊C4×C139C2×D411yescharacteristic
252C22⋊C4×C139—22no—
253C22⋊C4×C139—22no—
254C22⋊C4×C139—22no—
255C22⋊C4×C139—22no—
256C22⋊C4×C139—22no—
257C22⋊C4×C139—22no—
258C22⋊C4×C139—21no—
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—21no—
266C22⋊C4×C139—21no—
267C22⋊C4×C139—21no—
268C22⋊C4×C139—41no—
269C42×C139—21no—
270C42×C139—21no—
271C42×C139—41no—
272C42×C139C2×D411yescharacteristic
273C42×C139C2×D411yescharacteristic
274C42×C139C2×D411yescharacteristic
275C42×C139C2411yescharacteristic
276C23×C139—21no—
277C23×C139—21no—
278C23×C139—22no—
279C23×C139—22no—
280C23×C139—44no—
281C23×C139—82no—
282C23×C139—82no—
283C23×C139—82no—
284C23×C139—82no—
285C23×C139—82no—
286C23×C139#12011yescharacteristic
287Q8×C139—21no—
288Q8×C139—21no—
289Q8×C139—21no—
290Q8×C139—21no—
291Q8×C139—42no—
292Q8×C139—41no—
293Q8×C139—41no—
294D4×C139—21no—
295D4×C139—21no—
296D4×C139—21no—
297D4×C139—21no—
298D4×C139—42no—
299D4×C139—42no—
300D4×C139—42no—
301D4×C139—42no—
302D4×C139—41no—
303D4×C139—41no—
304D4×C139—41no—
305D4×C139—41no—
306D4×C139—41no—
307D4×C139—41no—
308D4×C139—41no—
309D4×C139—41no—
310D4×C139—82no—
311D4×C139—82no—
312D4×C139—82no—
313D4×C139—82no—
314D4×C139—82no—
315D4×C139—82no—
316D4×C139—82no—
317D4×C139—82no—
318D4×C139—82no—
319C2×C4×C139—21no—
320C2×C4×C139—21no—
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—21no—
329C2×C4×C139—41no—
330C2×C4×C139—41no—
331C2×C4×C139—41no—
332C2×C4×C139—41no—
333C2×C4×C139—41no—
334C2×C4×C139—41no—
335C2×C4×C139—41no—
336C2×C4×C139—82no—
337C2×C4×C139—82no—
338C2×C4×C139—82no—
339C2×C4×C139#12011yescharacteristic
340C2×C4×C139#12011yescharacteristic
341C2×C4×C139#12011yescharacteristic
342C2×C4×C139C22×D411yescharacteristic
343C2×C4×C139C22×D411yescharacteristic
344C2×C4×C139C22×D411yescharacteristic
345C8×C139—41no—
346C8×C139—41no—
347C8×C139—41no—
348C8×C139—41no—
349C8×C139—41no—
350C8×C139—41no—
351C22×C139—21no—
352C22×C139—21no—
353C22×C139—21no—
354C22×C139—41no—
355C22×C139—42no—
356C22×C139—41no—
357C22×C139—42no—
358C22×C139—41no—
359C22×C139—42no—
360C22×C139—41no—
361C22×C139—42no—
362C22×C139—42no—
363C22×C139—41no—
364C22×C139—41no—
365C22×C139—42no—
366C22×C139—164no—
367C22×C139—164no—
368C22×C139C2×#12011yescharacteristic
369C4×C139—21no—
370C4×C139—21no—
371C4×C139—21no—
372C4×C139—21no—
373C4×C139—41no—
374C4×C139—41no—
375C4×C139—41no—
376C4×C139—41no—
377C4×C139—41no—
378C4×C139—41no—
379C4×C139—81no—
380C4×C139—81no—
381C4×C139#57611yescharacteristic
382C4×C139#57711yescharacteristic
383C4×C139#57711yescharacteristic
384C4×C139#57711yescharacteristic
385C2×C139—41no—
386C2×C139—82no—
387C2×C139—81no—
388C2×C139—81no—
389C2×C139—82no—
390C2×C139#300911yescharacteristic
391C2×C139#301211yescharacteristic
392C2×C139#301911yescharacteristic
393#18931C13911yesmaximal, characteristic, direct product factor, Sylow
394C139#1893111yescharacteristic, direct product factor, Sylow
395#3543C2×C13911yescharacteristic
396#3252C2×C13911yescharacteristic, complemented
397#3233C2×C13911yescharacteristic, complemented
398#3208C2×C13911yescharacteristic, complemented
399#1642C2×C13911yescharacteristic, complemented
400#1641C2×C13911yescharacteristic, complemented
401#1640C2×C13911yescharacteristic, complemented
402#1639C2×C13911yescharacteristic, complemented
403#1631C2×C13911yescharacteristic, complemented
404#1631C2×C13911yescharacteristic, complemented
405#1630C2×C13911yescharacteristic, complemented
406#1629C2×C13911yescharacteristic, complemented
407#1545C2×C13911yescharacteristic, complemented
408#1495C2×C13911yescharacteristic, complemented
409#1482C2×C13911yescharacteristic, complemented
410#560—22no—
411#559C22×C13911yescharacteristic
412#550C22×C13911yescharacteristic
413#550C22×C13911yescharacteristic
414#546—21no—
415#546—21no—
416D42—21no—
417D42—21no—
418D42C22×C13911yescharacteristic
419#540—21no—
420#540—21no—
421#535—21no—
422#535—21no—
423#534—22no—
424#533C22×C13911yescharacteristic, complemented
425C2×#127C22×C13911yescharacteristic
426#529C22×C13911yescharacteristic
427#529C22×C13911yescharacteristic
428#499—21no—
429#492C22×C13911yescharacteristic
430#492C22×C13911yescharacteristic, complemented
431#488—21no—
432#486C22×C13911yescharacteristic
433#486C22×C13911yescharacteristic, complemented
434#485—21no—
435#482—21no—
436#479—21no—
437#477C22×C13911yescharacteristic, complemented
438#477C22×C13911yescharacteristic, complemented
439#476C22×C13911yescharacteristic, complemented
440#476C22×C13911yescharacteristic, complemented
441#475C22×C13911yescharacteristic, complemented
442#474C22×C13911yescharacteristic, complemented
443#470—21no—
444#468—21no—
445#464—21no—
446#462C22×C13911yescharacteristic, complemented
447#461C22×C13911yescharacteristic, complemented
448#460—22no—
449#450—22no—
450#431C22×C13911yescharacteristic, complemented
451#431C22×C13911yescharacteristic, complemented
452#423C22×C13911yescharacteristic, complemented
453#331C22×C13911yescharacteristic
454#331C22×C13911yescharacteristic
455#331C22×C13911yescharacteristic, complemented
456#331C22×C13911yescharacteristic, complemented
457Q8⋊C8C22×C13911yescharacteristic, complemented
458Q8⋊C8C22×C13911yescharacteristic, complemented
459Q8⋊C8C22×C13911yescharacteristic, complemented
460Q8⋊C8C22×C13911yescharacteristic, complemented
461D4⋊C8C22×C13911yescharacteristic, complemented
462D4⋊C8C22×C13911yescharacteristic, complemented
463D4⋊C8C22×C13911yescharacteristic, complemented
464D4⋊C8C22×C13911yescharacteristic, complemented
465C2×#41—21no—
466C2×#41—21no—
467C22×D4—22no—
468C22×D4—21no—
469C22×D4—21no—
470C22×D4—21no—
471C22×D4—21no—
472C22×D4D4×C13912yes—
473C2×Q16—21no—
474C2×SD16—22no—
475C2×SD16—22no—
476C2×SD16—21no—
477C2×M16—21no—
478C4⋊Q8C23×C13911yescharacteristic
479C4⋊Q8C23×C13911yescharacteristic
480#127—21no—
481#127—21no—
482#127—21no—
483#127—21no—
484#127D4×C13912yes—
485#127C23×C13911yescharacteristic
486#127C23×C13911yescharacteristic
487#126—21no—
488#126—21no—
489#125—21no—
490#125D4×C13911yescharacteristic
491#125D4×C13911yescharacteristic
492#124—21no—
493#124—21no—
494#124D4×C13911yescharacteristic
495#124D4×C13911yescharacteristic
496#123—22no—
497#123—22no—
498#123—22no—
499#123—22no—
500#123—21no—
501#123—21no—
502C22⋊Q8—21no—
503C22⋊Q8—21no—
504C22⋊Q8D4×C13911yescharacteristic
505C22⋊Q8D4×C13911yescharacteristic
506#121—22no—
507#121—22no—
508#121—22no—
509#121—22no—
510#121—22no—
511#121—22no—
512#121—22no—
513#121—22no—
514#121—21no—
515#121—21no—
516#121—21no—
517#121—21no—
518#121D4×C13911yescharacteristic
519#121D4×C13911yescharacteristic
520#120—22no—
521#120—22no—
522#120—22no—
523#120—22no—
524#120—22no—
525#120—22no—
526C4×Q8—21no—
527C4×Q8—21no—
528C4×Q8C23×C13911yescharacteristic
529C4×Q8C23×C13911yescharacteristic
530C4×D4—21no—
531C4×D4—21no—
532C4×D4—21no—
533C4×D4—21no—
534C4×D4—21no—
535C4×D4—21no—
536C4×D4C23×C13911yescharacteristic
537C4×D4C23×C13911yescharacteristic
538#117—21no—
539#117—21no—
540#117—21no—
541C2×C22⋊C4—22no—
542C2×C42C23×C13911yescharacteristic
543#107—21no—
544#107—21no—
545#107—21no—
546#106—21no—
547#106—21no—
548#106—21no—
549C4⋊C8—21no—
550C4⋊C8—21no—
551C4⋊C8C23×C13911yescharacteristic
552C4⋊C8C23×C13911yescharacteristic
553C4⋊C8C23×C13911yescharacteristic
554C4⋊C8C23×C13911yescharacteristic
555#103—21no—
556#103—21no—
557#103—21no—
558#103—21no—
559#103—21no—
560#102—22no—
561#102—22no—
562#102—21no—
563#102—21no—
564#102—21no—
565C22⋊C8—21no—
566C22⋊C8—21no—
567C4×C8—21no—
568C4×C8C23×C13911yescharacteristic
569C4×C8C23×C13911yescharacteristic
570C24—22no—
571C24—22no—
572#41—81no—
573#41—81no—
574#41—81no—
575#41—81no—
576C2×Q8—21no—
577C2×Q8—21no—
578C2×Q8C2×D4×C13911yescharacteristic
579C2×Q8C2×D4×C13911yescharacteristic
580C2×D4—21no—
581C2×D4—21no—
582C2×D4—22no—
583C2×D4—22no—
584C2×D4—22no—
585C2×D4—22no—
586C2×D4—22no—
587C2×D4—22no—
588C2×D4—22no—
589C2×D4—22no—
590C2×D4—22no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—21no—
594C2×D4—21no—
595C2×D4—81no—
596C2×D4—81no—
597C2×D4—81no—
598C2×D4—81no—
599C2×D4—81no—
600C2×D4—81no—
601C2×D4—81no—
602C2×D4—81no—
603C2×D4—82no—
604C2×D4—84no—
605C2×D4C2×D4×C13911yescharacteristic
606C2×D4C2×D4×C13911yescharacteristic
607C2×D4C2×D4×C13912yes—
608C2×D4C2×D4×C13912yes—
609C22×C4—22no—
610C22×C4—22no—
611C22×C4—22no—
612C22×C4—21no—
613C22×C4—21no—
614C22×C4C2×D4×C13911yescharacteristic
615C22×C4C2×D4×C13911yescharacteristic
616C22×C4C2×D4×C13911yescharacteristic
617Q16—81no—
618SD16—81no—
619SD16—82no—
620SD16—82no—
621M16—81no—
622C2×C8—21no—
623C2×C8—21no—
624C2×C8—21no—
625C2×C8—21no—
626C2×C8—21no—
627C2×C8—21no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—21no—
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—41no—
641C4⋊C4—41no—
642C4⋊C4C2×D4×C13911yescharacteristic
643C4⋊C4C2×D4×C13911yescharacteristic
644C4⋊C4C2×D4×C13911yescharacteristic
645C4⋊C4C2×D4×C13911yescharacteristic
646C22⋊C4—22no—
647C22⋊C4—22no—
648C22⋊C4—22no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—22no—
652C22⋊C4—21no—
653C22⋊C4—21no—
654C22⋊C4—21no—
655C22⋊C4—21no—
656C22⋊C4—21no—
657C22⋊C4—21no—
658C22⋊C4—21no—
659C22⋊C4—21no—
660C22⋊C4—21no—
661C22⋊C4—21no—
662C22⋊C4—41no—
663C42—21no—
664C42—21no—
665C42—41no—
666C42C2×D4×C13911yescharacteristic
667C42C2×D4×C13911yescharacteristic
668C42C2×D4×C13911yescharacteristic
669C42C24×C13911yescharacteristic
670C23—21no—
671C23—21no—
672C23—22no—
673C23—22no—
674C23—44no—
675C23—82no—
676C23—82no—
677C23—82no—
678C23—82no—
679C23—82no—
680C23#120×C13911yescharacteristic
681Q8—21no—
682Q8—21no—
683Q8—21no—
684Q8—21no—
685Q8—42no—
686Q8—41no—
687Q8—41no—
688D4—21no—
689D4—21no—
690D4—21no—
691D4—21no—
692D4—42no—
693D4—42no—
694D4—42no—
695D4—42no—
696D4—41no—
697D4—41no—
698D4—41no—
699D4—41no—
700D4—41no—
701D4—41no—
702D4—41no—
703D4—41no—
704D4—82no—
705D4—82no—
706D4—82no—
707D4—82no—
708D4—82no—
709D4—82no—
710D4—82no—
711D4—82no—
712D4—82no—
713C2×C4—21no—
714C2×C4—21no—
715C2×C4—21no—
716C2×C4—21no—
717C2×C4—21no—
718C2×C4—21no—
719C2×C4—21no—
720C2×C4—21no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—82no—
731C2×C4—82no—
732C2×C4—82no—
733C2×C4#120×C13911yescharacteristic
734C2×C4#120×C13911yescharacteristic
735C2×C4#120×C13911yescharacteristic
736C2×C4C22×D4×C13911yescharacteristic
737C2×C4C22×D4×C13911yescharacteristic
738C2×C4C22×D4×C13911yescharacteristic
739C8—41no—
740C8—41no—
741C8—41no—
742C8—41no—
743C8—41no—
744C8—41no—
745C22—21no—
746C22—21no—
747C22—21no—
748C22—41no—
749C22—42no—
750C22—41no—
751C22—42no—
752C22—41no—
753C22—42no—
754C22—41no—
755C22—42no—
756C22—42no—
757C22—41no—
758C22—41no—
759C22—42no—
760C22—164no—
761C22—164no—
762C22C2×#120×C13911yescharacteristic
763C4—21no—
764C4—21no—
765C4—21no—
766C4—21no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—81no—
774C4—81no—
775C4#576×C13911yescharacteristic
776C4#577×C13911yescharacteristic
777C4#577×C13911yescharacteristic
778C4#577×C13911yescharacteristic
779C2—41no—
780C2—81no—
781C2—81no—
782C2—82no—
783C2—82no—
784C2#3009×C13911yescharacteristic
785C2#3012×C13911yescharacteristic
786C2#3019×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC42C24×C139
prime radical#3543×C139C2
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
2. #3252×C139C2semidirect
3. #3233×C139C2semidirect
4. #3208×C139C2semidirect
5. #1642×C139C2semidirect
6. #1641×C139C2semidirect
7. #1640×C139C2semidirect
8. #1639×C139C2semidirect
9. #1631×C139C2semidirect
10. #1631×C139C2semidirect
11. #1630×C139C2semidirect
12. #1629×C139C2semidirect
13. #1545×C139C2semidirect
14. #1495×C139C2semidirect
15. #1482×C139C2semidirect
30. #533×C139C22semidirect
36. #492×C139C22semidirect
39. #486×C139C22semidirect
43. #477×C139C22semidirect
44. #477×C139C22semidirect
45. #476×C139C22semidirect
46. #476×C139C22semidirect
47. #475×C139C22semidirect
48. #474×C139C22semidirect
52. #462×C139C22semidirect
53. #461×C139C22semidirect
56. #431×C139C22semidirect
57. #431×C139C22semidirect
58. #423×C139C22semidirect
61. #331×C139C22semidirect
62. #331×C139C22semidirect
63. Q8⋊C8×C139C22semidirect
64. Q8⋊C8×C139C22semidirect
65. Q8⋊C8×C139C22semidirect
66. Q8⋊C8×C139C22semidirect
67. D4⋊C8×C139C22semidirect
68. D4⋊C8×C139C22semidirect
69. D4⋊C8×C139C22semidirect
70. D4⋊C8×C139C22semidirect
393. #18931C139direct (N × H)
394. C139#18931direct (N × H)
396. #3252C2×C139semidirect
397. #3233C2×C139semidirect
398. #3208C2×C139semidirect
399. #1642C2×C139semidirect
400. #1641C2×C139semidirect
401. #1640C2×C139semidirect
402. #1639C2×C139semidirect
403. #1631C2×C139semidirect
404. #1631C2×C139semidirect
405. #1630C2×C139semidirect
406. #1629C2×C139semidirect
407. #1545C2×C139semidirect
408. #1495C2×C139semidirect
409. #1482C2×C139semidirect
424. #533C22×C139semidirect
430. #492C22×C139semidirect
433. #486C22×C139semidirect
437. #477C22×C139semidirect
438. #477C22×C139semidirect
439. #476C22×C139semidirect
440. #476C22×C139semidirect
441. #475C22×C139semidirect
442. #474C22×C139semidirect
446. #462C22×C139semidirect
447. #461C22×C139semidirect
450. #431C22×C139semidirect
451. #431C22×C139semidirect
452. #423C22×C139semidirect
455. #331C22×C139semidirect
456. #331C22×C139semidirect
457. Q8⋊C8C22×C139semidirect
458. Q8⋊C8C22×C139semidirect
459. Q8⋊C8C22×C139semidirect
460. Q8⋊C8C22×C139semidirect
461. D4⋊C8C22×C139semidirect
462. D4⋊C8C22×C139semidirect
463. D4⋊C8C22×C139semidirect
464. D4⋊C8C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3543×C1392
#3252×C1392
#3233×C1392
#3208×C1392
#1642×C1392
#1641×C1392
#1640×C1392
#1639×C1392
#1631×C1392
#1630×C1392
#1629×C1392
#1545×C1392
#1495×C1392
#1482×C1392
#18931139