Finite Group Databasebeta

← C139×#19068 #48013664

Subgroups — C139×#19068 #48013664

Order 35584.

920 conjugacy classes of subgroups.

The subgroup lattice has 892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3545×C139C211yesmaximal, characteristic, complemented
2#3219×C139C211yesmaximal, characteristic, complemented
3#3213×C139C211yesmaximal, characteristic, complemented
4#3171×C139C211yesmaximal, characteristic, complemented
5#1664×C139C211yesmaximal, characteristic, complemented
6#1662×C139C211yesmaximal, characteristic, complemented
7#1661×C139C211yesmaximal, characteristic, complemented
8#1659×C139C211yesmaximal, characteristic, complemented
9#1657×C139C211yesmaximal, characteristic, complemented
10#1656×C139C211yesmaximal, characteristic, complemented
11#1656×C139C211yesmaximal, characteristic, complemented
12#1655×C139C211yesmaximal, characteristic, complemented
13#1535×C139C211yesmaximal, characteristic, complemented
14#1529×C139C211yesmaximal, characteristic, complemented
15#1527×C139C211yesmaximal, characteristic, complemented
16#563×C139C2211yescharacteristic
17#562×C139C2211yescharacteristic
18#562×C139C2211yescharacteristic
19H(3,𝔽4)×C139C2211yescharacteristic
20#555×C139—21no—
21#551×C139—21no—
22#551×C139—21no—
23#551×C139—21no—
24#546×C139—21no—
25#546×C139—21no—
26#542×C139—21no—
27#542×C139—21no—
28#538×C139—21no—
29#538×C139—21no—
30#536×C139—21no—
31#534×C139—21no—
32#532×C139C2211yescharacteristic, complemented
33#529×C139C2211yescharacteristic
34#529×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36#501×C139C2211yescharacteristic, complemented
37#497×C139C2211yescharacteristic, complemented
38#496×C139C2211yescharacteristic
39#496×C139C2211yescharacteristic, complemented
40#496×C139C2211yescharacteristic, complemented
41#496×C139C2211yescharacteristic, complemented
42#491×C139C2211yescharacteristic, complemented
43#490×C139C2211yescharacteristic, complemented
44#490×C139C2211yescharacteristic, complemented
45#489×C139C2211yescharacteristic
46#489×C139C2211yescharacteristic, complemented
47#489×C139C2211yescharacteristic, complemented
48#469×C139—21no—
49#468×C139—21no—
50#464×C139—21no—
51#463×C139—21no—
52#463×C139—21no—
53#463×C139—21no—
54#452×C139—21no—
55#449×C139—21no—
56#448×C139—21no—
57#447×C139—21no—
58C4×SD16×C139—21no—
59C4×D8×C139—21no—
60#432×C139C2211yescharacteristic, complemented
61#432×C139C2211yescharacteristic, complemented
62C4×M16×C139C2211yescharacteristic, complemented
63#330×C139C2211yescharacteristic, complemented
64#330×C139C2211yescharacteristic, complemented
65#330×C139C2211yescharacteristic, complemented
66#330×C139C2211yescharacteristic, complemented
67#329×C139C2211yescharacteristic
68#329×C139C2211yescharacteristic
69#329×C139C2211yescharacteristic, complemented
70#329×C139C2211yescharacteristic, complemented
71#329×C139C2211yescharacteristic, complemented
72#329×C139C2211yescharacteristic, complemented
73#329×C139C2211yescharacteristic, complemented
74#329×C139C2211yescharacteristic, complemented
75C2×#41×C139—21no—
76C2×#41×C139—21no—
77C22×Q8×C139D411yescharacteristic
78C22×D4×C139—21no—
79C22×D4×C139D411yescharacteristic
80C2×Q16×C139—21no—
81C2×SD16×C139—21no—
82C2×SD16×C139—21no—
83C2×SD16×C139—21no—
84C2×SD16×C139—21no—
85C2×SD16×C139—21no—
86C2×D8×C139—21no—
87C2×D8×C139—21no—
88C2×D8×C139—21no—
89C2×D8×C139—21no—
90C2×M16×C139—21no—
91C4⋊Q8×C139—21no—
92C4⋊Q8×C139—21no—
93C4⋊Q8×C139C2311yescharacteristic
94#127×C139C2311yescharacteristic
95#126×C139—21no—
96#126×C139—21no—
97#126×C139—21no—
98#126×C139—21no—
99#126×C139—21no—
100#126×C139—21no—
101#125×C139C2311yescharacteristic
102#125×C139C2311yescharacteristic
103#124×C139—21no—
104#124×C139—21no—
105#124×C139—21no—
106#124×C139—21no—
107#124×C139—21no—
108#124×C139—21no—
109#124×C139—21no—
110#124×C139—21no—
111#124×C139—21no—
112#124×C139D411yescharacteristic
113#124×C139D411yescharacteristic
114#124×C139C2311yescharacteristic
115#124×C139C2311yescharacteristic
116#124×C139C2311yescharacteristic
117#124×C139C2311yescharacteristic
118#123×C139—21no—
119#123×C139—21no—
120#123×C139—21no—
121#123×C139—21no—
122#123×C139—21no—
123#123×C139—21no—
124#123×C139—21no—
125#123×C139—21no—
126#123×C139—21no—
127#123×C139—21no—
128#123×C139—21no—
129#123×C139—21no—
130C22⋊Q8×C139—21no—
131C22⋊Q8×C139—21no—
132C22⋊Q8×C139—21no—
133C22⋊Q8×C139—21no—
134C22⋊Q8×C139—21no—
135C22⋊Q8×C139—21no—
136C22⋊Q8×C139—21no—
137C22⋊Q8×C139—21no—
138C22⋊Q8×C139D411yescharacteristic
139C22⋊Q8×C139D411yescharacteristic
140#121×C139—21no—
141#121×C139—21no—
142#121×C139—21no—
143#121×C139—21no—
144#121×C139—21no—
145#121×C139—21no—
146#121×C139—21no—
147#121×C139—21no—
148#121×C139—21no—
149#121×C139—21no—
150#121×C139D411yescharacteristic
151#121×C139D411yescharacteristic
152#120×C139—21no—
153#120×C139—21no—
154#120×C139—21no—
155#120×C139—21no—
156#120×C139—21no—
157#120×C139—21no—
158C4×Q8×C139D411yescharacteristic
159C4×Q8×C139D411yescharacteristic
160C4×D4×C139—21no—
161C4×D4×C139—21no—
162C4×D4×C139—21no—
163C4×D4×C139—21no—
164C4×D4×C139—21no—
165C4×D4×C139—21no—
166C4×D4×C139—21no—
167C4×D4×C139—21no—
168C4×D4×C139D411yescharacteristic
169C4×D4×C139D411yescharacteristic
170#117×C139—21no—
171#117×C139—21no—
172#117×C139—21no—
173#117×C139—21no—
174#117×C139—21no—
175C2×C22⋊C4×C139—21no—
176C2×C22⋊C4×C139—21no—
177C2×C22⋊C4×C139—21no—
178C2×C22⋊C4×C139—21no—
179C2×C22⋊C4×C139—21no—
180C2×C42×C139C2311yescharacteristic
181#107×C139—21no—
182#106×C139—21no—
183C4⋊C8×C139—21no—
184C4⋊C8×C139—21no—
185#103×C139—21no—
186#103×C139—21no—
187#103×C139—21no—
188#103×C139—21no—
189#103×C139—21no—
190#102×C139—21no—
191#102×C139—21no—
192#102×C139—21no—
193#102×C139—21no—
194#102×C139—21no—
195#102×C139—21no—
196#102×C139—21no—
197C22⋊C8×C139—21no—
198C22⋊C8×C139—21no—
199#97×C139C2311yescharacteristic
200#97×C139C2311yescharacteristic
201#97×C139C2311yescharacteristic
202#97×C139C2311yescharacteristic
203#97×C139C2311yescharacteristic
204#97×C139C2311yescharacteristic
205C4×C8×C139—21no—
206C24×C139—21no—
207C24×C139—21no—
208#41×C139—82no—
209#41×C139—81no—
210#41×C139—81no—
211C2×Q8×C139—21no—
212C2×Q8×C139—21no—
213C2×Q8×C139—21no—
214C2×Q8×C139—81no—
215C2×Q8×C139C2×D411yescharacteristic
216C2×Q8×C139C2×D411yescharacteristic
217C2×Q8×C139C2×D411yescharacteristic
218C2×Q8×C139C2×D411yescharacteristic
219C2×D4×C139—21no—
220C2×D4×C139—21no—
221C2×D4×C139—21no—
222C2×D4×C139—21no—
223C2×D4×C139—21no—
224C2×D4×C139—21no—
225C2×D4×C139—21no—
226C2×D4×C139—21no—
227C2×D4×C139—21no—
228C2×D4×C139—21no—
229C2×D4×C139—21no—
230C2×D4×C139—21no—
231C2×D4×C139—21no—
232C2×D4×C139—41no—
233C2×D4×C139—81no—
234C2×D4×C139—82no—
235C2×D4×C139C2×D411yescharacteristic
236C2×D4×C139C2×D411yescharacteristic
237C2×D4×C139C2×D411yescharacteristic
238C2×D4×C139C2×D411yescharacteristic
239C22×C4×C139—21no—
240C22×C4×C139—21no—
241C22×C4×C139—21no—
242C22×C4×C139—21no—
243C22×C4×C139—21no—
244C22×C4×C139—21no—
245C22×C4×C139—21no—
246C22×C4×C139—21no—
247C22×C4×C139—41no—
248C22×C4×C139C2×D411yescharacteristic
249C22×C4×C139C2×D411yescharacteristic
250C22×C4×C139C2×D411yescharacteristic
251Q16×C139—81no—
252SD16×C139—42no—
253SD16×C139—81no—
254SD16×C139—81no—
255SD16×C139—81no—
256SD16×C139—81no—
257D8×C139—42no—
258D8×C139—81no—
259D8×C139—81no—
260D8×C139—81no—
261M16×C139—42no—
262C2×C8×C139—21no—
263C2×C8×C139—21no—
264C2×C8×C139—21no—
265C2×C8×C139—21no—
266C2×C8×C139—21no—
267C2×C8×C139—21no—
268C4⋊C4×C139—21no—
269C4⋊C4×C139—21no—
270C4⋊C4×C139—21no—
271C4⋊C4×C139—21no—
272C4⋊C4×C139—21no—
273C4⋊C4×C139—21no—
274C4⋊C4×C139—21no—
275C4⋊C4×C139—21no—
276C4⋊C4×C139—21no—
277C4⋊C4×C139—21no—
278C4⋊C4×C139—21no—
279C4⋊C4×C139—21no—
280C4⋊C4×C139—21no—
281C4⋊C4×C139—21no—
282C4⋊C4×C139—21no—
283C4⋊C4×C139—21no—
284C4⋊C4×C139C2×D411yescharacteristic
285C4⋊C4×C139C2×D411yescharacteristic
286C4⋊C4×C139C2×D411yescharacteristic
287C4⋊C4×C139C2×D411yescharacteristic
288C22⋊C4×C139—21no—
289C22⋊C4×C139—21no—
290C22⋊C4×C139—21no—
291C22⋊C4×C139—21no—
292C22⋊C4×C139—21no—
293C22⋊C4×C139—21no—
294C22⋊C4×C139—21no—
295C22⋊C4×C139—21no—
296C22⋊C4×C139—21no—
297C22⋊C4×C139—21no—
298C22⋊C4×C139—21no—
299C22⋊C4×C139—21no—
300C22⋊C4×C139—21no—
301C22⋊C4×C139—21no—
302C22⋊C4×C139—21no—
303C22⋊C4×C139—21no—
304C22⋊C4×C139—21no—
305C22⋊C4×C139—21no—
306C22⋊C4×C139—21no—
307C22⋊C4×C139—21no—
308C22⋊C4×C139—21no—
309C22⋊C4×C139—21no—
310C22⋊C4×C139—21no—
311C22⋊C4×C139—21no—
312C22⋊C4×C139—21no—
313C22⋊C4×C139—21no—
314C22⋊C4×C139—21no—
315C22⋊C4×C139—21no—
316C22⋊C4×C139—41no—
317C22⋊C4×C139—41no—
318C42×C139—21no—
319C42×C139—21no—
320C42×C139—21no—
321C42×C139—21no—
322C42×C139C2×D411yescharacteristic
323C42×C139C2×D411yescharacteristic
324C42×C139C2×D411yescharacteristic
325C42×C139C2411yescharacteristic
326C23×C139—21no—
327C23×C139—21no—
328C23×C139—21no—
329C23×C139—21no—
330C23×C139—42no—
331C23×C139—41no—
332C23×C139—81no—
333C23×C139—81no—
334C23×C139—81no—
335C23×C139—81no—
336C23×C139—81no—
337C23×C139#12011yescharacteristic
338Q8×C139—41no—
339Q8×C139—41no—
340Q8×C139—41no—
341Q8×C139—41no—
342Q8×C139—41no—
343Q8×C139—41no—
344Q8×C139—81no—
345Q8×C139—81no—
346D4×C139—41no—
347D4×C139—41no—
348D4×C139—41no—
349D4×C139—41no—
350D4×C139—41no—
351D4×C139—41no—
352D4×C139—41no—
353D4×C139—41no—
354D4×C139—41no—
355D4×C139—41no—
356D4×C139—42no—
357D4×C139—42no—
358D4×C139—81no—
359D4×C139—81no—
360D4×C139—81no—
361D4×C139—81no—
362D4×C139—81no—
363D4×C139—81no—
364D4×C139—81no—
365D4×C139—81no—
366D4×C139—82no—
367C2×C4×C139—21no—
368C2×C4×C139—21no—
369C2×C4×C139—21no—
370C2×C4×C139—21no—
371C2×C4×C139—21no—
372C2×C4×C139—21no—
373C2×C4×C139—21no—
374C2×C4×C139—21no—
375C2×C4×C139—41no—
376C2×C4×C139—41no—
377C2×C4×C139—41no—
378C2×C4×C139—42no—
379C2×C4×C139—41no—
380C2×C4×C139—81no—
381C2×C4×C139—81no—
382C2×C4×C139—82no—
383C2×C4×C139—81no—
384C2×C4×C139—81no—
385C2×C4×C139—81no—
386C2×C4×C139—81no—
387C2×C4×C139—81no—
388C2×C4×C139#12011yescharacteristic
389C2×C4×C139#12011yescharacteristic
390C2×C4×C139#12011yescharacteristic
391C2×C4×C139C22×D411yescharacteristic
392C2×C4×C139C22×D411yescharacteristic
393C2×C4×C139C22×D411yescharacteristic
394C8×C139—22no—
395C8×C139—41no—
396C8×C139—41no—
397C8×C139—41no—
398C8×C139—41no—
399C8×C139—41no—
400C22×C139—21no—
401C22×C139—21no—
402C22×C139—21no—
403C22×C139—41no—
404C22×C139—41no—
405C22×C139—41no—
406C22×C139—41no—
407C22×C139—41no—
408C22×C139—41no—
409C22×C139—41no—
410C22×C139—41no—
411C22×C139—41no—
412C22×C139—41no—
413C22×C139—41no—
414C22×C139—41no—
415C22×C139—81no—
416C22×C139—81no—
417C22×C139—81no—
418C22×C139—162no—
419C22×C139—162no—
420C22×C139C2×#12011yescharacteristic
421C4×C139—21no—
422C4×C139—21no—
423C4×C139—21no—
424C4×C139—21no—
425C4×C139—21no—
426C4×C139—21no—
427C4×C139—41no—
428C4×C139—41no—
429C4×C139—41no—
430C4×C139—41no—
431C4×C139—41no—
432C4×C139—41no—
433C4×C139—41no—
434C4×C139—41no—
435C4×C139—81no—
436C2×C139—41no—
437C2×C139—81no—
438C2×C139—81no—
439C2×C139—81no—
440C2×C139—81no—
441C2×C139—161no—
442C2×C139#301811yescharacteristic
443C2×C139#301911yescharacteristic
444C2×C139#302111yescharacteristic
445#19068C13911yesmaximal, characteristic, direct product factor, Sylow
446C139#1906811yescharacteristic, direct product factor, Sylow
447#3545C2×C13911yescharacteristic, complemented
448#3219C2×C13911yescharacteristic, complemented
449#3213C2×C13911yescharacteristic, complemented
450#3171C2×C13911yescharacteristic, complemented
451#1664C2×C13911yescharacteristic, complemented
452#1662C2×C13911yescharacteristic, complemented
453#1661C2×C13911yescharacteristic, complemented
454#1659C2×C13911yescharacteristic, complemented
455#1657C2×C13911yescharacteristic, complemented
456#1656C2×C13911yescharacteristic, complemented
457#1656C2×C13911yescharacteristic, complemented
458#1655C2×C13911yescharacteristic, complemented
459#1535C2×C13911yescharacteristic, complemented
460#1529C2×C13911yescharacteristic, complemented
461#1527C2×C13911yescharacteristic, complemented
462#563C22×C13911yescharacteristic
463#562C22×C13911yescharacteristic
464#562C22×C13911yescharacteristic
465H(3,𝔽4)C22×C13911yescharacteristic
466#555—21no—
467#551—21no—
468#551—21no—
469#551—21no—
470#546—21no—
471#546—21no—
472#542—21no—
473#542—21no—
474#538—21no—
475#538—21no—
476#536—21no—
477#534—21no—
478#532C22×C13911yescharacteristic, complemented
479#529C22×C13911yescharacteristic
480#529C22×C13911yescharacteristic
481C2×#124C22×C13911yescharacteristic
482#501C22×C13911yescharacteristic, complemented
483#497C22×C13911yescharacteristic, complemented
484#496C22×C13911yescharacteristic
485#496C22×C13911yescharacteristic, complemented
486#496C22×C13911yescharacteristic, complemented
487#496C22×C13911yescharacteristic, complemented
488#491C22×C13911yescharacteristic, complemented
489#490C22×C13911yescharacteristic, complemented
490#490C22×C13911yescharacteristic, complemented
491#489C22×C13911yescharacteristic
492#489C22×C13911yescharacteristic, complemented
493#489C22×C13911yescharacteristic, complemented
494#469—21no—
495#468—21no—
496#464—21no—
497#463—21no—
498#463—21no—
499#463—21no—
500#452—21no—
501#449—21no—
502#448—21no—
503#447—21no—
504C4×SD16—21no—
505C4×D8—21no—
506#432C22×C13911yescharacteristic, complemented
507#432C22×C13911yescharacteristic, complemented
508C4×M16C22×C13911yescharacteristic, complemented
509#330C22×C13911yescharacteristic, complemented
510#330C22×C13911yescharacteristic, complemented
511#330C22×C13911yescharacteristic, complemented
512#330C22×C13911yescharacteristic, complemented
513#329C22×C13911yescharacteristic
514#329C22×C13911yescharacteristic
515#329C22×C13911yescharacteristic, complemented
516#329C22×C13911yescharacteristic, complemented
517#329C22×C13911yescharacteristic, complemented
518#329C22×C13911yescharacteristic, complemented
519#329C22×C13911yescharacteristic, complemented
520#329C22×C13911yescharacteristic, complemented
521C2×#41—21no—
522C2×#41—21no—
523C22×Q8D4×C13911yescharacteristic
524C22×D4—21no—
525C22×D4D4×C13911yescharacteristic
526C2×Q16—21no—
527C2×SD16—21no—
528C2×SD16—21no—
529C2×SD16—21no—
530C2×SD16—21no—
531C2×SD16—21no—
532C2×D8—21no—
533C2×D8—21no—
534C2×D8—21no—
535C2×D8—21no—
536C2×M16—21no—
537C4⋊Q8—21no—
538C4⋊Q8—21no—
539C4⋊Q8C23×C13911yescharacteristic
540#127C23×C13911yescharacteristic
541#126—21no—
542#126—21no—
543#126—21no—
544#126—21no—
545#126—21no—
546#126—21no—
547#125C23×C13911yescharacteristic
548#125C23×C13911yescharacteristic
549#124—21no—
550#124—21no—
551#124—21no—
552#124—21no—
553#124—21no—
554#124—21no—
555#124—21no—
556#124—21no—
557#124—21no—
558#124D4×C13911yescharacteristic
559#124D4×C13911yescharacteristic
560#124C23×C13911yescharacteristic
561#124C23×C13911yescharacteristic
562#124C23×C13911yescharacteristic
563#124C23×C13911yescharacteristic
564#123—21no—
565#123—21no—
566#123—21no—
567#123—21no—
568#123—21no—
569#123—21no—
570#123—21no—
571#123—21no—
572#123—21no—
573#123—21no—
574#123—21no—
575#123—21no—
576C22⋊Q8—21no—
577C22⋊Q8—21no—
578C22⋊Q8—21no—
579C22⋊Q8—21no—
580C22⋊Q8—21no—
581C22⋊Q8—21no—
582C22⋊Q8—21no—
583C22⋊Q8—21no—
584C22⋊Q8D4×C13911yescharacteristic
585C22⋊Q8D4×C13911yescharacteristic
586#121—21no—
587#121—21no—
588#121—21no—
589#121—21no—
590#121—21no—
591#121—21no—
592#121—21no—
593#121—21no—
594#121—21no—
595#121—21no—
596#121D4×C13911yescharacteristic
597#121D4×C13911yescharacteristic
598#120—21no—
599#120—21no—
600#120—21no—
601#120—21no—
602#120—21no—
603#120—21no—
604C4×Q8D4×C13911yescharacteristic
605C4×Q8D4×C13911yescharacteristic
606C4×D4—21no—
607C4×D4—21no—
608C4×D4—21no—
609C4×D4—21no—
610C4×D4—21no—
611C4×D4—21no—
612C4×D4—21no—
613C4×D4—21no—
614C4×D4D4×C13911yescharacteristic
615C4×D4D4×C13911yescharacteristic
616#117—21no—
617#117—21no—
618#117—21no—
619#117—21no—
620#117—21no—
621C2×C22⋊C4—21no—
622C2×C22⋊C4—21no—
623C2×C22⋊C4—21no—
624C2×C22⋊C4—21no—
625C2×C22⋊C4—21no—
626C2×C42C23×C13911yescharacteristic
627#107—21no—
628#106—21no—
629C4⋊C8—21no—
630C4⋊C8—21no—
631#103—21no—
632#103—21no—
633#103—21no—
634#103—21no—
635#103—21no—
636#102—21no—
637#102—21no—
638#102—21no—
639#102—21no—
640#102—21no—
641#102—21no—
642#102—21no—
643C22⋊C8—21no—
644C22⋊C8—21no—
645#97C23×C13911yescharacteristic
646#97C23×C13911yescharacteristic
647#97C23×C13911yescharacteristic
648#97C23×C13911yescharacteristic
649#97C23×C13911yescharacteristic
650#97C23×C13911yescharacteristic
651C4×C8—21no—
652C24—21no—
653C24—21no—
654#41—82no—
655#41—81no—
656#41—81no—
657C2×Q8—21no—
658C2×Q8—21no—
659C2×Q8—21no—
660C2×Q8—81no—
661C2×Q8C2×D4×C13911yescharacteristic
662C2×Q8C2×D4×C13911yescharacteristic
663C2×Q8C2×D4×C13911yescharacteristic
664C2×Q8C2×D4×C13911yescharacteristic
665C2×D4—21no—
666C2×D4—21no—
667C2×D4—21no—
668C2×D4—21no—
669C2×D4—21no—
670C2×D4—21no—
671C2×D4—21no—
672C2×D4—21no—
673C2×D4—21no—
674C2×D4—21no—
675C2×D4—21no—
676C2×D4—21no—
677C2×D4—21no—
678C2×D4—41no—
679C2×D4—81no—
680C2×D4—82no—
681C2×D4C2×D4×C13911yescharacteristic
682C2×D4C2×D4×C13911yescharacteristic
683C2×D4C2×D4×C13911yescharacteristic
684C2×D4C2×D4×C13911yescharacteristic
685C22×C4—21no—
686C22×C4—21no—
687C22×C4—21no—
688C22×C4—21no—
689C22×C4—21no—
690C22×C4—21no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—41no—
694C22×C4C2×D4×C13911yescharacteristic
695C22×C4C2×D4×C13911yescharacteristic
696C22×C4C2×D4×C13911yescharacteristic
697Q16—81no—
698SD16—42no—
699SD16—81no—
700SD16—81no—
701SD16—81no—
702SD16—81no—
703D8—42no—
704D8—81no—
705D8—81no—
706D8—81no—
707M16—42no—
708C2×C8—21no—
709C2×C8—21no—
710C2×C8—21no—
711C2×C8—21no—
712C2×C8—21no—
713C2×C8—21no—
714C4⋊C4—21no—
715C4⋊C4—21no—
716C4⋊C4—21no—
717C4⋊C4—21no—
718C4⋊C4—21no—
719C4⋊C4—21no—
720C4⋊C4—21no—
721C4⋊C4—21no—
722C4⋊C4—21no—
723C4⋊C4—21no—
724C4⋊C4—21no—
725C4⋊C4—21no—
726C4⋊C4—21no—
727C4⋊C4—21no—
728C4⋊C4—21no—
729C4⋊C4—21no—
730C4⋊C4C2×D4×C13911yescharacteristic
731C4⋊C4C2×D4×C13911yescharacteristic
732C4⋊C4C2×D4×C13911yescharacteristic
733C4⋊C4C2×D4×C13911yescharacteristic
734C22⋊C4—21no—
735C22⋊C4—21no—
736C22⋊C4—21no—
737C22⋊C4—21no—
738C22⋊C4—21no—
739C22⋊C4—21no—
740C22⋊C4—21no—
741C22⋊C4—21no—
742C22⋊C4—21no—
743C22⋊C4—21no—
744C22⋊C4—21no—
745C22⋊C4—21no—
746C22⋊C4—21no—
747C22⋊C4—21no—
748C22⋊C4—21no—
749C22⋊C4—21no—
750C22⋊C4—21no—
751C22⋊C4—21no—
752C22⋊C4—21no—
753C22⋊C4—21no—
754C22⋊C4—21no—
755C22⋊C4—21no—
756C22⋊C4—21no—
757C22⋊C4—21no—
758C22⋊C4—21no—
759C22⋊C4—21no—
760C22⋊C4—21no—
761C22⋊C4—21no—
762C22⋊C4—41no—
763C22⋊C4—41no—
764C42—21no—
765C42—21no—
766C42—21no—
767C42—21no—
768C42C2×D4×C13911yescharacteristic
769C42C2×D4×C13911yescharacteristic
770C42C2×D4×C13911yescharacteristic
771C42C24×C13911yescharacteristic
772C23—21no—
773C23—21no—
774C23—21no—
775C23—21no—
776C23—42no—
777C23—41no—
778C23—81no—
779C23—81no—
780C23—81no—
781C23—81no—
782C23—81no—
783C23#120×C13911yescharacteristic
784Q8—41no—
785Q8—41no—
786Q8—41no—
787Q8—41no—
788Q8—41no—
789Q8—41no—
790Q8—81no—
791Q8—81no—
792D4—41no—
793D4—41no—
794D4—41no—
795D4—41no—
796D4—41no—
797D4—41no—
798D4—41no—
799D4—41no—
800D4—41no—
801D4—41no—
802D4—42no—
803D4—42no—
804D4—81no—
805D4—81no—
806D4—81no—
807D4—81no—
808D4—81no—
809D4—81no—
810D4—81no—
811D4—81no—
812D4—82no—
813C2×C4—21no—
814C2×C4—21no—
815C2×C4—21no—
816C2×C4—21no—
817C2×C4—21no—
818C2×C4—21no—
819C2×C4—21no—
820C2×C4—21no—
821C2×C4—41no—
822C2×C4—41no—
823C2×C4—41no—
824C2×C4—42no—
825C2×C4—41no—
826C2×C4—81no—
827C2×C4—81no—
828C2×C4—82no—
829C2×C4—81no—
830C2×C4—81no—
831C2×C4—81no—
832C2×C4—81no—
833C2×C4—81no—
834C2×C4#120×C13911yescharacteristic
835C2×C4#120×C13911yescharacteristic
836C2×C4#120×C13911yescharacteristic
837C2×C4C22×D4×C13911yescharacteristic
838C2×C4C22×D4×C13911yescharacteristic
839C2×C4C22×D4×C13911yescharacteristic
840C8—22no—
841C8—41no—
842C8—41no—
843C8—41no—
844C8—41no—
845C8—41no—
846C22—21no—
847C22—21no—
848C22—21no—
849C22—41no—
850C22—41no—
851C22—41no—
852C22—41no—
853C22—41no—
854C22—41no—
855C22—41no—
856C22—41no—
857C22—41no—
858C22—41no—
859C22—41no—
860C22—41no—
861C22—81no—
862C22—81no—
863C22—81no—
864C22—162no—
865C22—162no—
866C22C2×#120×C13911yescharacteristic
867C4—21no—
868C4—21no—
869C4—21no—
870C4—21no—
871C4—21no—
872C4—21no—
873C4—41no—
874C4—41no—
875C4—41no—
876C4—41no—
877C4—41no—
878C4—41no—
879C4—41no—
880C4—41no—
881C4—81no—
882C2—41no—
883C2—81no—
884C2—81no—
885C2—81no—
886C2—81no—
887C2—161no—
888C2#3018×C13911yescharacteristic
889C2#3019×C13911yescharacteristic
890C2#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. #3545×C139C2semidirect
2. #3219×C139C2semidirect
3. #3213×C139C2semidirect
4. #3171×C139C2semidirect
5. #1664×C139C2semidirect
6. #1662×C139C2semidirect
7. #1661×C139C2semidirect
8. #1659×C139C2semidirect
9. #1657×C139C2semidirect
10. #1656×C139C2semidirect
11. #1656×C139C2semidirect
12. #1655×C139C2semidirect
13. #1535×C139C2semidirect
14. #1529×C139C2semidirect
15. #1527×C139C2semidirect
32. #532×C139C22semidirect
36. #501×C139C22semidirect
37. #497×C139C22semidirect
39. #496×C139C22semidirect
40. #496×C139C22semidirect
41. #496×C139C22semidirect
42. #491×C139C22semidirect
43. #490×C139C22semidirect
44. #490×C139C22semidirect
46. #489×C139C22semidirect
47. #489×C139C22semidirect
60. #432×C139C22semidirect
61. #432×C139C22semidirect
62. C4×M16×C139C22semidirect
63. #330×C139C22semidirect
64. #330×C139C22semidirect
65. #330×C139C22semidirect
66. #330×C139C22semidirect
69. #329×C139C22semidirect
70. #329×C139C22semidirect
71. #329×C139C22semidirect
72. #329×C139C22semidirect
73. #329×C139C22semidirect
74. #329×C139C22semidirect
445. #19068C139direct (N × H)
446. C139#19068direct (N × H)
447. #3545C2×C139semidirect
448. #3219C2×C139semidirect
449. #3213C2×C139semidirect
450. #3171C2×C139semidirect
451. #1664C2×C139semidirect
452. #1662C2×C139semidirect
453. #1661C2×C139semidirect
454. #1659C2×C139semidirect
455. #1657C2×C139semidirect
456. #1656C2×C139semidirect
457. #1656C2×C139semidirect
458. #1655C2×C139semidirect
459. #1535C2×C139semidirect
460. #1529C2×C139semidirect
461. #1527C2×C139semidirect
478. #532C22×C139semidirect
482. #501C22×C139semidirect
483. #497C22×C139semidirect
485. #496C22×C139semidirect
486. #496C22×C139semidirect
487. #496C22×C139semidirect
488. #491C22×C139semidirect
489. #490C22×C139semidirect
490. #490C22×C139semidirect
492. #489C22×C139semidirect
493. #489C22×C139semidirect
506. #432C22×C139semidirect
507. #432C22×C139semidirect
508. C4×M16C22×C139semidirect
509. #330C22×C139semidirect
510. #330C22×C139semidirect
511. #330C22×C139semidirect
512. #330C22×C139semidirect
515. #329C22×C139semidirect
516. #329C22×C139semidirect
517. #329C22×C139semidirect
518. #329C22×C139semidirect
519. #329C22×C139semidirect
520. #329C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3545×C1392
#3219×C1392
#3213×C1392
#3171×C1392
#1664×C1392
#1662×C1392
#1661×C1392
#1659×C1392
#1657×C1392
#1656×C1392
#1655×C1392
#1535×C1392
#1529×C1392
#1527×C1392
#19068139