Finite Group Databasebeta

← C139×#25446 #48020042

Subgroups — C139×#25446 #48020042

Order 35584.

876 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3154×C139C211yesmaximal, characteristic, complemented
2#3069×C139C211yesmaximal, characteristic, complemented
3#3068×C139C211yesmaximal, characteristic, complemented
4#3067×C139C211yesmaximal, characteristic, complemented
5C2×#471×C139C211yesmaximal, characteristic, complemented
6#2957×C139C211yesmaximal, characteristic, complemented
7#2049×C139C211yesmaximal, characteristic, complemented
8#2048×C139C211yesmaximal, characteristic, complemented
9#2009×C139C211yesmaximal, characteristic, complemented
10#2008×C139C211yesmaximal, characteristic, complemented
11#1977×C139C211yesmaximal, characteristic, complemented
12#1953×C139C211yesmaximal, characteristic, complemented
13#1915×C139C211yesmaximal, characteristic, complemented
14#1914×C139C211yesmaximal, characteristic, complemented
15#1757×C139C211yesmaximal, characteristic, complemented
16#575×C139C2211yescharacteristic
17#575×C139C2211yescharacteristic
18C2×#137×C139C2211yescharacteristic
19C2×#137×C139C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C139C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C139C2211yescharacteristic
22C2×#135×C139C2211yescharacteristic
23C22×SD16×C139C2211yescharacteristic
24#568×C139C2211yescharacteristic
25#568×C139C2211yescharacteristic
26C2×#131×C139C2211yescharacteristic
27#536×C139C2211yescharacteristic
28#535×C139C2211yescharacteristic
29#497×C139—21no—
30#496×C139—21no—
31#495×C139—21no—
32#492×C139—21no—
33#473×C139—21no—
34#473×C139—22no—
35#472×C139—21no—
36#472×C139—22no—
37#471×C139—21no—
38#471×C139—21no—
39#471×C139—22no—
40#471×C139—22no—
41#471×C139—22no—
42#471×C139—22no—
43#444×C139—22no—
44#443×C139—22no—
45#430×C139C2211yescharacteristic
46#430×C139C2211yescharacteristic
47C2×#108×C139C2211yescharacteristic
48C2×#108×C139C2211yescharacteristic
49#421×C139C2211yescharacteristic
50#421×C139C2211yescharacteristic
51#419×C139C2211yescharacteristic
52#418×C139C2211yescharacteristic
53#413×C139C2211yescharacteristic
54#413×C139C2211yescharacteristic
55#413×C139C2211yescharacteristic
56C2×#101×C139C2211yescharacteristic
57C2×#101×C139C2211yescharacteristic
58C2×#100×C139C2211yescharacteristic
59C2×#100×C139C2211yescharacteristic
60#410×C139C2211yescharacteristic
61#405×C139C2211yescharacteristic
62#405×C139C2211yescharacteristic
63#344×C139C2211yescharacteristic
64#344×C139C2211yescharacteristic
65#344×C139C2211yescharacteristic
66#344×C139C2211yescharacteristic
67C2×#41×C139C2311yescharacteristic
68C2×#41×C139C2311yescharacteristic
69C2×#41×C139C2311yescharacteristic
70C22×Q8×C139C2311yescharacteristic
71C22×D4×C139C2311yescharacteristic
72#137×C139—21no—
73#137×C139—21no—
74#137×C139—21no—
75#137×C139—21no—
76#137×C139—22no—
77#137×C139—22no—
78#137×C139—41no—
79#137×C139—41no—
80AGL(1,ℤ/8)×C139—21no—
81AGL(1,ℤ/8)×C139—21no—
82AGL(1,ℤ/8)×C139—21no—
83AGL(1,ℤ/8)×C139—21no—
84AGL(1,ℤ/8)×C139—22no—
85AGL(1,ℤ/8)×C139—22no—
86AGL(1,ℤ/8)×C139—41no—
87AGL(1,ℤ/8)×C139—41no—
88#135×C139—21no—
89#135×C139—21no—
90#135×C139—21no—
91#135×C139—21no—
92#135×C139—41no—
93#135×C139—41no—
94C2×Q16×C139—21no—
95C2×Q16×C139—21no—
96C2×Q16×C139D411yescharacteristic
97C2×SD16×C139—21no—
98C2×SD16×C139—21no—
99C2×SD16×C139—21no—
100C2×SD16×C139—21no—
101C2×SD16×C139—21no—
102C2×SD16×C139—21no—
103C2×SD16×C139—21no—
104C2×SD16×C139—21no—
105C2×SD16×C139—21no—
106C2×SD16×C139—21no—
107C2×SD16×C139D411yescharacteristic
108C2×SD16×C139D411yescharacteristic
109C2×D8×C139—21no—
110C2×D8×C139—21no—
111C2×D8×C139D411yescharacteristic
112#131×C139—22no—
113#131×C139—22no—
114#131×C139—22no—
115#131×C139—22no—
116#131×C139—21no—
117#131×C139—21no—
118#131×C139—21no—
119#131×C139—21no—
120C2×M16×C139—21no—
121C2×M16×C139—41no—
122C2×M16×C139—41no—
123C2×M16×C139C2311yescharacteristic
124C2×M16×C139C2311yescharacteristic
125C2×M16×C139C2311yescharacteristic
126C2×M16×C139C2311yescharacteristic
127C2×M16×C139C2311yescharacteristic
128C2×M16×C139C2311yescharacteristic
129C2×M16×C139C2311yescharacteristic
130C22×C8×C139—21no—
131C22×C8×C139C2311yescharacteristic
132C4⋊Q8×C139—21no—
133#127×C139—21no—
134#124×C139—21no—
135#124×C139—21no—
136#123×C139—22no—
137C22⋊Q8×C139—41no—
138#121×C139—41no—
139#120×C139—22no—
140#117×C139C2311yescharacteristic
141#117×C139C2311yescharacteristic
142#108×C139—22no—
143#108×C139—22no—
144#108×C139—21no—
145#108×C139—21no—
146#108×C139D412yescomplemented
147#108×C139D412yescomplemented
148#104×C139—22no—
149#104×C139—22no—
150#103×C139—41no—
151#102×C139—41no—
152#101×C139—21no—
153#101×C139—21no—
154#101×C139—22no—
155#101×C139—22no—
156#101×C139D412yescomplemented
157#100×C139—21no—
158#100×C139—21no—
159#100×C139—22no—
160#100×C139—22no—
161#100×C139D412yescomplemented
162#99×C139—22no—
163#97×C139—21no—
164#97×C139—21no—
165C4×C8×C139—21no—
166C4×C8×C139—21no—
167C24×C139—21no—
168#41×C139—21no—
169#41×C139—21no—
170#41×C139—21no—
171#41×C139—21no—
172#41×C139—21no—
173#41×C139—21no—
174#41×C139—21no—
175#41×C139—21no—
176#41×C139—21no—
177#41×C139—21no—
178#41×C139—21no—
179#41×C139—21no—
180C2×Q8×C139—21no—
181C2×Q8×C139—21no—
182C2×Q8×C139—21no—
183C2×Q8×C139—21no—
184C2×Q8×C139—21no—
185C2×Q8×C139—21no—
186C2×Q8×C139C2×D411yescharacteristic
187C2×Q8×C139C2×D411yescharacteristic
188C2×Q8×C139C2×D411yescharacteristic
189C2×D4×C139—21no—
190C2×D4×C139—21no—
191C2×D4×C139—21no—
192C2×D4×C139—21no—
193C2×D4×C139—21no—
194C2×D4×C139—21no—
195C2×D4×C139—21no—
196C2×D4×C139—21no—
197C2×D4×C139—21no—
198C2×D4×C139—42no—
199C2×D4×C139C2×D411yescharacteristic
200C2×D4×C139C2×D411yescharacteristic
201C2×D4×C139C2×D411yescharacteristic
202C22×C4×C139—21no—
203C22×C4×C139—21no—
204C22×C4×C139—21no—
205C22×C4×C139—21no—
206C22×C4×C139C2411yescharacteristic
207Q16×C139—21no—
208Q16×C139—21no—
209Q16×C139—42no—
210Q16×C139—42no—
211Q16×C139—41no—
212Q16×C139—41no—
213SD16×C139—21no—
214SD16×C139—21no—
215SD16×C139—21no—
216SD16×C139—21no—
217SD16×C139—42no—
218SD16×C139—42no—
219SD16×C139—42no—
220SD16×C139—42no—
221SD16×C139—41no—
222SD16×C139—41no—
223SD16×C139—41no—
224SD16×C139—41no—
225SD16×C139—41no—
226SD16×C139—41no—
227SD16×C139—41no—
228SD16×C139—41no—
229D8×C139—21no—
230D8×C139—21no—
231D8×C139—42no—
232D8×C139—42no—
233D8×C139—41no—
234D8×C139—41no—
235M16×C139—21no—
236M16×C139—21no—
237M16×C139—21no—
238M16×C139—21no—
239M16×C139—21no—
240M16×C139—21no—
241M16×C139—21no—
242M16×C139—21no—
243M16×C139—21no—
244M16×C139—21no—
245M16×C139—42no—
246M16×C139—42no—
247M16×C139—41no—
248M16×C139—41no—
249M16×C139C2×D412yes—
250M16×C139C2×D412yes—
251M16×C139C2×D412yes—
252M16×C139C2×D412yes—
253C2×C8×C139—21no—
254C2×C8×C139—21no—
255C2×C8×C139—21no—
256C2×C8×C139—21no—
257C2×C8×C139—21no—
258C2×C8×C139—21no—
259C2×C8×C139—21no—
260C2×C8×C139—42no—
261C2×C8×C139—42no—
262C2×C8×C139—41no—
263C2×C8×C139—41no—
264C2×C8×C139C2×D411yescharacteristic
265C2×C8×C139C2×D411yescharacteristic
266C2×C8×C139C2×D411yescharacteristic
267C2×C8×C139C2×D411yescharacteristic
268C2×C8×C139#4111yescharacteristic
269C2×C8×C139#4111yescharacteristic
270C4⋊C4×C139—21no—
271C4⋊C4×C139—21no—
272C4⋊C4×C139—42no—
273C22⋊C4×C139—21no—
274C22⋊C4×C139—42no—
275C22⋊C4×C139—42no—
276C22⋊C4×C139#4112yes—
277C42×C139—21no—
278C42×C139—21no—
279C23×C139—21no—
280C23×C139—21no—
281C23×C139—21no—
282C23×C139—41no—
283C23×C139—41no—
284C23×C139—41no—
285C23×C139—161no—
286C23×C139C2×#4111yescharacteristic
287Q8×C139—21no—
288Q8×C139—21no—
289Q8×C139—21no—
290Q8×C139—21no—
291Q8×C139—21no—
292Q8×C139—21no—
293Q8×C139—41no—
294Q8×C139—41no—
295Q8×C139—41no—
296Q8×C139—41no—
297D4×C139—21no—
298D4×C139—21no—
299D4×C139—21no—
300D4×C139—21no—
301D4×C139—21no—
302D4×C139—21no—
303D4×C139—41no—
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—41no—
313D4×C139—162no—
314C2×C4×C139—21no—
315C2×C4×C139—22no—
316C2×C4×C139—21no—
317C2×C4×C139—21no—
318C2×C4×C139—41no—
319C2×C4×C139—41no—
320C2×C4×C139—41no—
321C2×C4×C139—41no—
322C2×C4×C139—41no—
323C2×C4×C139—41no—
324C2×C4×C139—41no—
325C2×C4×C139—41no—
326C2×C4×C139—41no—
327C2×C4×C139—41no—
328C2×C4×C139C22×D411yescharacteristic
329C2×C4×C139C22×D411yescharacteristic
330C2×C4×C139C22×D411yescharacteristic
331C2×C4×C139C2×#4111yescharacteristic
332C2×C4×C139H(5,𝔽2)11yescharacteristic
333C2×C4×C139H(5,𝔽2)11yescharacteristic
334C8×C139—22no—
335C8×C139—22no—
336C8×C139—22no—
337C8×C139—22no—
338C8×C139—41no—
339C8×C139—41no—
340C8×C139—41no—
341C8×C139#12111yescharacteristic
342C8×C139#12111yescharacteristic
343C8×C139#12111yescharacteristic
344C8×C139#12111yescharacteristic
345C22×C139—41no—
346C22×C139—41no—
347C22×C139—41no—
348C22×C139—41no—
349C22×C139—81no—
350C22×C139—81no—
351C22×C139—81no—
352C22×C139—82no—
353C22×C139—81no—
354C22×C139—161no—
355C22×C139—161no—
356C22×C139#53211yescharacteristic
357C22×C139#54611yescharacteristic
358C22×C139#55011yescharacteristic
359C4×C139—42no—
360C4×C139—41no—
361C4×C139—41no—
362C4×C139—41no—
363C4×C139—81no—
364C4×C139—81no—
365C4×C139C2×#12111yescharacteristic
366C4×C139#54011yescharacteristic
367C4×C139D4211yescharacteristic
368C4×C139D4211yescharacteristic
369C2×C139—21no—
370C2×C139—21no—
371C2×C139—21no—
372C2×C139—81no—
373C2×C139—81no—
374C2×C139—81no—
375C2×C139—161no—
376C2×C139#242811yescharacteristic
377#25446C13911yesmaximal, characteristic, direct product factor, Sylow
378C139#2544611yescharacteristic, direct product factor, Sylow
379#3154C2×C13911yescharacteristic, complemented
380#3069C2×C13911yescharacteristic, complemented
381#3068C2×C13911yescharacteristic, complemented
382#3067C2×C13911yescharacteristic, complemented
383C2×#471C2×C13911yescharacteristic, complemented
384#2957C2×C13911yescharacteristic, complemented
385#2049C2×C13911yescharacteristic, complemented
386#2048C2×C13911yescharacteristic, complemented
387#2009C2×C13911yescharacteristic, complemented
388#2008C2×C13911yescharacteristic, complemented
389#1977C2×C13911yescharacteristic, complemented
390#1953C2×C13911yescharacteristic, complemented
391#1915C2×C13911yescharacteristic, complemented
392#1914C2×C13911yescharacteristic, complemented
393#1757C2×C13911yescharacteristic, complemented
394#575C22×C13911yescharacteristic
395#575C22×C13911yescharacteristic
396C2×#137C22×C13911yescharacteristic
397C2×#137C22×C13911yescharacteristic
398C2×AGL(1,ℤ/8)C22×C13911yescharacteristic
399C2×AGL(1,ℤ/8)C22×C13911yescharacteristic
400C2×#135C22×C13911yescharacteristic
401C22×SD16C22×C13911yescharacteristic
402#568C22×C13911yescharacteristic
403#568C22×C13911yescharacteristic
404C2×#131C22×C13911yescharacteristic
405#536C22×C13911yescharacteristic
406#535C22×C13911yescharacteristic
407#497—21no—
408#496—21no—
409#495—21no—
410#492—21no—
411#473—21no—
412#473—22no—
413#472—21no—
414#472—22no—
415#471—21no—
416#471—21no—
417#471—22no—
418#471—22no—
419#471—22no—
420#471—22no—
421#444—22no—
422#443—22no—
423#430C22×C13911yescharacteristic
424#430C22×C13911yescharacteristic
425C2×#108C22×C13911yescharacteristic
426C2×#108C22×C13911yescharacteristic
427#421C22×C13911yescharacteristic
428#421C22×C13911yescharacteristic
429#419C22×C13911yescharacteristic
430#418C22×C13911yescharacteristic
431#413C22×C13911yescharacteristic
432#413C22×C13911yescharacteristic
433#413C22×C13911yescharacteristic
434C2×#101C22×C13911yescharacteristic
435C2×#101C22×C13911yescharacteristic
436C2×#100C22×C13911yescharacteristic
437C2×#100C22×C13911yescharacteristic
438#410C22×C13911yescharacteristic
439#405C22×C13911yescharacteristic
440#405C22×C13911yescharacteristic
441#344C22×C13911yescharacteristic
442#344C22×C13911yescharacteristic
443#344C22×C13911yescharacteristic
444#344C22×C13911yescharacteristic
445C2×#41C23×C13911yescharacteristic
446C2×#41C23×C13911yescharacteristic
447C2×#41C23×C13911yescharacteristic
448C22×Q8C23×C13911yescharacteristic
449C22×D4C23×C13911yescharacteristic
450#137—21no—
451#137—21no—
452#137—21no—
453#137—21no—
454#137—22no—
455#137—22no—
456#137—41no—
457#137—41no—
458AGL(1,ℤ/8)—21no—
459AGL(1,ℤ/8)—21no—
460AGL(1,ℤ/8)—21no—
461AGL(1,ℤ/8)—21no—
462AGL(1,ℤ/8)—22no—
463AGL(1,ℤ/8)—22no—
464AGL(1,ℤ/8)—41no—
465AGL(1,ℤ/8)—41no—
466#135—21no—
467#135—21no—
468#135—21no—
469#135—21no—
470#135—41no—
471#135—41no—
472C2×Q16—21no—
473C2×Q16—21no—
474C2×Q16D4×C13911yescharacteristic
475C2×SD16—21no—
476C2×SD16—21no—
477C2×SD16—21no—
478C2×SD16—21no—
479C2×SD16—21no—
480C2×SD16—21no—
481C2×SD16—21no—
482C2×SD16—21no—
483C2×SD16—21no—
484C2×SD16—21no—
485C2×SD16D4×C13911yescharacteristic
486C2×SD16D4×C13911yescharacteristic
487C2×D8—21no—
488C2×D8—21no—
489C2×D8D4×C13911yescharacteristic
490#131—22no—
491#131—22no—
492#131—22no—
493#131—22no—
494#131—21no—
495#131—21no—
496#131—21no—
497#131—21no—
498C2×M16—21no—
499C2×M16—41no—
500C2×M16—41no—
501C2×M16C23×C13911yescharacteristic
502C2×M16C23×C13911yescharacteristic
503C2×M16C23×C13911yescharacteristic
504C2×M16C23×C13911yescharacteristic
505C2×M16C23×C13911yescharacteristic
506C2×M16C23×C13911yescharacteristic
507C2×M16C23×C13911yescharacteristic
508C22×C8—21no—
509C22×C8C23×C13911yescharacteristic
510C4⋊Q8—21no—
511#127—21no—
512#124—21no—
513#124—21no—
514#123—22no—
515C22⋊Q8—41no—
516#121—41no—
517#120—22no—
518#117C23×C13911yescharacteristic
519#117C23×C13911yescharacteristic
520#108—22no—
521#108—22no—
522#108—21no—
523#108—21no—
524#108D4×C13912yescomplemented
525#108D4×C13912yescomplemented
526#104—22no—
527#104—22no—
528#103—41no—
529#102—41no—
530#101—21no—
531#101—21no—
532#101—22no—
533#101—22no—
534#101D4×C13912yescomplemented
535#100—21no—
536#100—21no—
537#100—22no—
538#100—22no—
539#100D4×C13912yescomplemented
540#99—22no—
541#97—21no—
542#97—21no—
543C4×C8—21no—
544C4×C8—21no—
545C24—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—21no—
551#41—21no—
552#41—21no—
553#41—21no—
554#41—21no—
555#41—21no—
556#41—21no—
557#41—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—21no—
564C2×Q8C2×D4×C13911yescharacteristic
565C2×Q8C2×D4×C13911yescharacteristic
566C2×Q8C2×D4×C13911yescharacteristic
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—21no—
576C2×D4—42no—
577C2×D4C2×D4×C13911yescharacteristic
578C2×D4C2×D4×C13911yescharacteristic
579C2×D4C2×D4×C13911yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4C24×C13911yescharacteristic
585Q16—21no—
586Q16—21no—
587Q16—42no—
588Q16—42no—
589Q16—41no—
590Q16—41no—
591SD16—21no—
592SD16—21no—
593SD16—21no—
594SD16—21no—
595SD16—42no—
596SD16—42no—
597SD16—42no—
598SD16—42no—
599SD16—41no—
600SD16—41no—
601SD16—41no—
602SD16—41no—
603SD16—41no—
604SD16—41no—
605SD16—41no—
606SD16—41no—
607D8—21no—
608D8—21no—
609D8—42no—
610D8—42no—
611D8—41no—
612D8—41no—
613M16—21no—
614M16—21no—
615M16—21no—
616M16—21no—
617M16—21no—
618M16—21no—
619M16—21no—
620M16—21no—
621M16—21no—
622M16—21no—
623M16—42no—
624M16—42no—
625M16—41no—
626M16—41no—
627M16C2×D4×C13912yes—
628M16C2×D4×C13912yes—
629M16C2×D4×C13912yes—
630M16C2×D4×C13912yes—
631C2×C8—21no—
632C2×C8—21no—
633C2×C8—21no—
634C2×C8—21no—
635C2×C8—21no—
636C2×C8—21no—
637C2×C8—21no—
638C2×C8—42no—
639C2×C8—42no—
640C2×C8—41no—
641C2×C8—41no—
642C2×C8C2×D4×C13911yescharacteristic
643C2×C8C2×D4×C13911yescharacteristic
644C2×C8C2×D4×C13911yescharacteristic
645C2×C8C2×D4×C13911yescharacteristic
646C2×C8#41×C13911yescharacteristic
647C2×C8#41×C13911yescharacteristic
648C4⋊C4—21no—
649C4⋊C4—21no—
650C4⋊C4—42no—
651C22⋊C4—21no—
652C22⋊C4—42no—
653C22⋊C4—42no—
654C22⋊C4#41×C13912yes—
655C42—21no—
656C42—21no—
657C23—21no—
658C23—21no—
659C23—21no—
660C23—41no—
661C23—41no—
662C23—41no—
663C23—161no—
664C23C2×#41×C13911yescharacteristic
665Q8—21no—
666Q8—21no—
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671Q8—41no—
672Q8—41no—
673Q8—41no—
674Q8—41no—
675D4—21no—
676D4—21no—
677D4—21no—
678D4—21no—
679D4—21no—
680D4—21no—
681D4—41no—
682D4—41no—
683D4—41no—
684D4—41no—
685D4—41no—
686D4—41no—
687D4—41no—
688D4—41no—
689D4—41no—
690D4—41no—
691D4—162no—
692C2×C4—21no—
693C2×C4—22no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4C22×D4×C13911yescharacteristic
707C2×C4C22×D4×C13911yescharacteristic
708C2×C4C22×D4×C13911yescharacteristic
709C2×C4C2×#41×C13911yescharacteristic
710C2×C4H(5,𝔽2)×C13911yescharacteristic
711C2×C4H(5,𝔽2)×C13911yescharacteristic
712C8—22no—
713C8—22no—
714C8—22no—
715C8—22no—
716C8—41no—
717C8—41no—
718C8—41no—
719C8#121×C13911yescharacteristic
720C8#121×C13911yescharacteristic
721C8#121×C13911yescharacteristic
722C8#121×C13911yescharacteristic
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—81no—
732C22—161no—
733C22—161no—
734C22#532×C13911yescharacteristic
735C22#546×C13911yescharacteristic
736C22#550×C13911yescharacteristic
737C4—42no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—81no—
742C4—81no—
743C4C2×#121×C13911yescharacteristic
744C4#540×C13911yescharacteristic
745C4D42×C13911yescharacteristic
746C4D42×C13911yescharacteristic
747C2—21no—
748C2—21no—
749C2—21no—
750C2—81no—
751C2—81no—
752C2—81no—
753C2—161no—
754C2#2428×C13911yescharacteristic
subgroupG/H
center, socleC2×C139#2428
commutator, Frattini, cosocleC22×C4C24×C139
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C139 ◁ C22×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3154×C139C2semidirect
2. #3069×C139C2semidirect
3. #3068×C139C2semidirect
4. #3067×C139C2semidirect
5. C2×#471×C139C2semidirect
6. #2957×C139C2semidirect
7. #2049×C139C2semidirect
8. #2048×C139C2semidirect
9. #2009×C139C2semidirect
10. #2008×C139C2semidirect
11. #1977×C139C2semidirect
12. #1953×C139C2semidirect
13. #1915×C139C2semidirect
14. #1914×C139C2semidirect
15. #1757×C139C2semidirect
146. #108×C139D4semidirect
147. #108×C139D4semidirect
156. #101×C139D4semidirect
161. #100×C139D4semidirect
377. #25446C139direct (N × H)
378. C139#25446direct (N × H)
379. #3154C2×C139semidirect
380. #3069C2×C139semidirect
381. #3068C2×C139semidirect
382. #3067C2×C139semidirect
383. C2×#471C2×C139semidirect
384. #2957C2×C139semidirect
385. #2049C2×C139semidirect
386. #2048C2×C139semidirect
387. #2009C2×C139semidirect
388. #2008C2×C139semidirect
389. #1977C2×C139semidirect
390. #1953C2×C139semidirect
391. #1915C2×C139semidirect
392. #1914C2×C139semidirect
393. #1757C2×C139semidirect
524. #108D4×C139semidirect
525. #108D4×C139semidirect
534. #101D4×C139semidirect
539. #100D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3154×C1392
#3069×C1392
#3068×C1392
#3067×C1392
C2×#471×C1392
#2957×C1392
#2049×C1392
#2048×C1392
#2009×C1392
#2008×C1392
#1977×C1392
#1953×C1392
#1915×C1392
#1914×C1392
#1757×C1392
#25446139