Finite Group Databasebeta

← C139×#25440 #48020036

Subgroups — C139×#25440 #48020036

Order 35584.

914 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3154×C139C211yesmaximal, characteristic, complemented
2C2×#471×C139C211yesmaximal, characteristic, complemented
3#3063×C139C211yesmaximal, characteristic, complemented
4#3062×C139C211yesmaximal, characteristic, complemented
5#3060×C139C211yesmaximal, characteristic, complemented
6C2×#443×C139C211yesmaximal, characteristic, complemented
7#2038×C139C211yesmaximal, characteristic, complemented
8#2037×C139C211yesmaximal, characteristic, complemented
9#2007×C139C211yesmaximal, characteristic, complemented
10#2006×C139C211yesmaximal, characteristic, complemented
11#1968×C139C211yesmaximal, characteristic, complemented
12#1951×C139C211yesmaximal, characteristic, complemented
13#1908×C139C211yesmaximal, characteristic, complemented
14#1907×C139C211yesmaximal, characteristic, complemented
15#1764×C139C211yesmaximal, characteristic, complemented
16C2×#137×C139C2211yescharacteristic
17C2×#137×C139C2211yescharacteristic
18C2×AGL(1,ℤ/8)×C139C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C139C2211yescharacteristic
20C2×#135×C139C2211yescharacteristic
21C22×SD16×C139C2211yescharacteristic
22C2×#131×C139C2211yescharacteristic
23C2×#131×C139C2211yescharacteristic
24C2×#131×C139C2211yescharacteristic
25#537×C139C2211yescharacteristic
26#537×C139C2211yescharacteristic
27#536×C139C2211yescharacteristic
28#535×C139C2211yescharacteristic
29#497×C139—21no—
30#496×C139—21no—
31#495×C139—21no—
32#492×C139—21no—
33#471×C139—24no—
34#470×C139—21no—
35#470×C139—21no—
36#469×C139—21no—
37#469×C139—21no—
38#468×C139—21no—
39#468×C139—21no—
40#467×C139—21no—
41#466×C139—21no—
42#465×C139—21no—
43#465×C139—21no—
44#465×C139—21no—
45#465×C139—21no—
46#443×C139—24no—
47C2×#108×C139C2211yescharacteristic
48#428×C139C2211yescharacteristic
49#428×C139C2211yescharacteristic
50C2×#106×C139C2211yescharacteristic
51C2×#104×C139C2211yescharacteristic
52C2×#104×C139C2211yescharacteristic
53C2×#104×C139C2211yescharacteristic
54#417×C139C2211yescharacteristic
55#417×C139C2211yescharacteristic
56#416×C139C2211yescharacteristic
57C2×#103×C139C2211yescharacteristic
58C2×#102×C139C2211yescharacteristic
59C2×#101×C139C2211yescharacteristic
60C2×#100×C139C2211yescharacteristic
61#405×C139C2211yescharacteristic
62C2×C4×C8×C139C2211yescharacteristic
63#391×C139C2211yescharacteristic
64#390×C139C2211yescharacteristic
65#343×C139C2211yescharacteristic
66#343×C139C2211yescharacteristic
67#341×C139C2211yescharacteristic
68#339×C139C2211yescharacteristic
69C2×#41×C139C2311yescharacteristic
70C2×#41×C139C2311yescharacteristic
71C2×#41×C139C2311yescharacteristic
72C22×Q8×C139C2311yescharacteristic
73C22×D4×C139C2311yescharacteristic
74#137×C139—22no—
75#137×C139—22no—
76#137×C139—41no—
77#137×C139—41no—
78AGL(1,ℤ/8)×C139—22no—
79AGL(1,ℤ/8)×C139—22no—
80AGL(1,ℤ/8)×C139—41no—
81AGL(1,ℤ/8)×C139—41no—
82#135×C139—22no—
83#135×C139—22no—
84C2×Q16×C139—21no—
85C2×Q16×C139—21no—
86C2×Q16×C139D411yescharacteristic
87C2×SD16×C139—21no—
88C2×SD16×C139—21no—
89C2×SD16×C139—21no—
90C2×SD16×C139—21no—
91C2×SD16×C139—22no—
92C2×SD16×C139—21no—
93C2×SD16×C139—21no—
94C2×SD16×C139—22no—
95C2×SD16×C139D411yescharacteristic
96C2×SD16×C139D411yescharacteristic
97C2×D8×C139—21no—
98C2×D8×C139—21no—
99C2×D8×C139D411yescharacteristic
100#131×C139—22no—
101#131×C139—22no—
102#131×C139—22no—
103#131×C139—22no—
104#131×C139—41no—
105#131×C139—41no—
106C2×M16×C139—21no—
107C2×M16×C139—21no—
108C2×M16×C139—21no—
109C2×M16×C139C2311yescharacteristic
110C2×M16×C139C2311yescharacteristic
111C2×M16×C139C2311yescharacteristic
112C2×M16×C139C2311yescharacteristic
113C22×C8×C139—21no—
114C22×C8×C139—21no—
115C22×C8×C139—21no—
116C22×C8×C139C2311yescharacteristic
117C22×C8×C139C2311yescharacteristic
118C4⋊Q8×C139—21no—
119#127×C139—21no—
120#124×C139—21no—
121#124×C139—21no—
122#123×C139—41no—
123C22⋊Q8×C139—21no—
124C22⋊Q8×C139—21no—
125C22⋊Q8×C139—21no—
126C22⋊Q8×C139—21no—
127C22⋊Q8×C139—21no—
128C22⋊Q8×C139—21no—
129#121×C139—21no—
130#121×C139—21no—
131#121×C139—21no—
132#121×C139—21no—
133#121×C139—21no—
134#121×C139—21no—
135#121×C139—41no—
136#121×C139—41no—
137#120×C139—41no—
138#117×C139C2311yescharacteristic
139C2×C4⋊C4×C139C2311yescharacteristic
140C2×C4⋊C4×C139C2311yescharacteristic
141C2×C22⋊C4×C139—41no—
142C2×C42×C139C2311yescharacteristic
143#108×C139D414yescomplemented
144#107×C139—21no—
145#107×C139—21no—
146#106×C139—21no—
147#106×C139—21no—
148#106×C139—21no—
149#106×C139—21no—
150#104×C139—22no—
151#104×C139—22no—
152#104×C139—22no—
153#103×C139—21no—
154#103×C139—21no—
155#103×C139—21no—
156#103×C139—21no—
157#103×C139D411yescharacteristic
158#103×C139D411yescharacteristic
159#102×C139—21no—
160#102×C139—21no—
161#102×C139—21no—
162#102×C139—21no—
163#102×C139D411yescharacteristic
164#102×C139D411yescharacteristic
165#101×C139—22no—
166#100×C139—22no—
167#97×C139—21no—
168C4×C8×C139—22no—
169C4×C8×C139—21no—
170#95×C139—41no—
171C24×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—
180#41×C139—21no—
181#41×C139—21no—
182#41×C139—21no—
183#41×C139—21no—
184C2×Q8×C139—21no—
185C2×Q8×C139—21no—
186C2×Q8×C139—21no—
187C2×Q8×C139—21no—
188C2×Q8×C139—21no—
189C2×Q8×C139—21no—
190C2×Q8×C139C2×D411yescharacteristic
191C2×Q8×C139C2×D411yescharacteristic
192C2×Q8×C139C2×D411yescharacteristic
193C2×D4×C139—21no—
194C2×D4×C139—21no—
195C2×D4×C139—21no—
196C2×D4×C139—21no—
197C2×D4×C139—21no—
198C2×D4×C139—21no—
199C2×D4×C139—21no—
200C2×D4×C139—21no—
201C2×D4×C139—21no—
202C2×D4×C139—41no—
203C2×D4×C139—41no—
204C2×D4×C139—41no—
205C2×D4×C139—41no—
206C2×D4×C139C2×D411yescharacteristic
207C2×D4×C139C2×D411yescharacteristic
208C2×D4×C139C2×D411yescharacteristic
209C22×C4×C139—21no—
210C22×C4×C139—21no—
211C22×C4×C139—21no—
212C22×C4×C139—21no—
213C22×C4×C139—21no—
214C22×C4×C139—21no—
215C22×C4×C139—21no—
216C22×C4×C139C2411yescharacteristic
217Q16×C139—22no—
218Q16×C139—42no—
219Q16×C139—42no—
220SD16×C139—22no—
221SD16×C139—22no—
222SD16×C139—42no—
223SD16×C139—42no—
224SD16×C139—42no—
225SD16×C139—42no—
226SD16×C139—42no—
227SD16×C139—42no—
228D8×C139—22no—
229D8×C139—42no—
230D8×C139—42no—
231M16×C139—21no—
232M16×C139—21no—
233M16×C139—21no—
234M16×C139—21no—
235M16×C139—21no—
236M16×C139—42no—
237M16×C139—42no—
238M16×C139—42no—
239M16×C139C2×D412yes—
240M16×C139C2×D412yes—
241M16×C139#4112yes—
242C2×C8×C139—21no—
243C2×C8×C139—21no—
244C2×C8×C139—21no—
245C2×C8×C139—21no—
246C2×C8×C139—21no—
247C2×C8×C139—21no—
248C2×C8×C139—42no—
249C2×C8×C139—42no—
250C2×C8×C139—42no—
251C2×C8×C139C2×D411yescharacteristic
252C2×C8×C139C2×D411yescharacteristic
253C2×C8×C139C2×D411yescharacteristic
254C2×C8×C139C2×D412yes—
255C2×C8×C139C2×D411yescharacteristic
256C2×C8×C139#4112yes—
257C4⋊C4×C139—21no—
258C4⋊C4×C139—21no—
259C4⋊C4×C139—21no—
260C4⋊C4×C139—21no—
261C4⋊C4×C139—41no—
262C4⋊C4×C139—41no—
263C4⋊C4×C139—41no—
264C4⋊C4×C139—41no—
265C4⋊C4×C139C2×D411yescharacteristic
266C4⋊C4×C139C2×D411yescharacteristic
267C22⋊C4×C139—21no—
268C22⋊C4×C139—41no—
269C22⋊C4×C139—41no—
270C22⋊C4×C139—41no—
271C22⋊C4×C139—41no—
272C22⋊C4×C139—41no—
273C22⋊C4×C139—41no—
274C22⋊C4×C139—41no—
275C22⋊C4×C139—41no—
276C22⋊C4×C139—82no—
277C42×C139—21no—
278C42×C139—21no—
279C42×C139—21no—
280C23×C139—21no—
281C23×C139—21no—
282C23×C139—21no—
283C23×C139—41no—
284C23×C139—41no—
285C23×C139—41no—
286C23×C139—81no—
287C23×C139—81no—
288C23×C139H(5,𝔽2)11yescharacteristic
289Q8×C139—21no—
290Q8×C139—21no—
291Q8×C139—21no—
292Q8×C139—21no—
293Q8×C139—21no—
294Q8×C139—21no—
295Q8×C139—41no—
296Q8×C139—41no—
297Q8×C139—41no—
298Q8×C139—41no—
299D4×C139—21no—
300D4×C139—21no—
301D4×C139—21no—
302D4×C139—21no—
303D4×C139—21no—
304D4×C139—21no—
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—41no—
314D4×C139—41no—
315D4×C139—161no—
316D4×C139—161no—
317D4×C139—161no—
318D4×C139—161no—
319C2×C4×C139—22no—
320C2×C4×C139—21no—
321C2×C4×C139—21no—
322C2×C4×C139—21no—
323C2×C4×C139—21no—
324C2×C4×C139—21no—
325C2×C4×C139—41no—
326C2×C4×C139—41no—
327C2×C4×C139—41no—
328C2×C4×C139—41no—
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—41no—
337C2×C4×C139—41no—
338C2×C4×C139—81no—
339C2×C4×C139—81no—
340C2×C4×C139C22×D411yescharacteristic
341C2×C4×C139C22×D411yescharacteristic
342C2×C4×C139C22×D411yescharacteristic
343C2×C4×C139C2×#4111yescharacteristic
344C2×C4×C139C2×#4111yescharacteristic
345C2×C4×C139H(5,𝔽2)11yescharacteristic
346C8×C139—21no—
347C8×C139—21no—
348C8×C139—22no—
349C8×C139—22no—
350C8×C139—22no—
351C8×C139—41no—
352C8×C139#12112yes—
353C8×C139#12112yes—
354C22×C139—21no—
355C22×C139—21no—
356C22×C139—41no—
357C22×C139—41no—
358C22×C139—41no—
359C22×C139—41no—
360C22×C139—41no—
361C22×C139—41no—
362C22×C139—41no—
363C22×C139—41no—
364C22×C139—41no—
365C22×C139—82no—
366C22×C139—81no—
367C22×C139—81no—
368C22×C139—81no—
369C22×C139—161no—
370C22×C139#54011yescharacteristic
371C22×C139D4211yescharacteristic
372C22×C139#55011yescharacteristic
373C4×C139—42no—
374C4×C139—41no—
375C4×C139—41no—
376C4×C139—41no—
377C4×C139—41no—
378C4×C139—41no—
379C4×C139—81no—
380C4×C139—81no—
381C4×C139—81no—
382C4×C139C2×#12111yescharacteristic
383C4×C139#53211yescharacteristic
384C4×C139D4211yescharacteristic
385C4×C139#54611yescharacteristic
386C2×C139—21no—
387C2×C139—21no—
388C2×C139—81no—
389C2×C139—81no—
390C2×C139—81no—
391C2×C139—161no—
392C2×C139#242811yescharacteristic
393C2×C139#329011yescharacteristic
394C2×C139#329111yescharacteristic
395#25440C13911yesmaximal, characteristic, direct product factor, Sylow
396C139#2544011yescharacteristic, direct product factor, Sylow
397#3154C2×C13911yescharacteristic, complemented
398C2×#471C2×C13911yescharacteristic, complemented
399#3063C2×C13911yescharacteristic, complemented
400#3062C2×C13911yescharacteristic, complemented
401#3060C2×C13911yescharacteristic, complemented
402C2×#443C2×C13911yescharacteristic, complemented
403#2038C2×C13911yescharacteristic, complemented
404#2037C2×C13911yescharacteristic, complemented
405#2007C2×C13911yescharacteristic, complemented
406#2006C2×C13911yescharacteristic, complemented
407#1968C2×C13911yescharacteristic, complemented
408#1951C2×C13911yescharacteristic, complemented
409#1908C2×C13911yescharacteristic, complemented
410#1907C2×C13911yescharacteristic, complemented
411#1764C2×C13911yescharacteristic, complemented
412C2×#137C22×C13911yescharacteristic
413C2×#137C22×C13911yescharacteristic
414C2×AGL(1,ℤ/8)C22×C13911yescharacteristic
415C2×AGL(1,ℤ/8)C22×C13911yescharacteristic
416C2×#135C22×C13911yescharacteristic
417C22×SD16C22×C13911yescharacteristic
418C2×#131C22×C13911yescharacteristic
419C2×#131C22×C13911yescharacteristic
420C2×#131C22×C13911yescharacteristic
421#537C22×C13911yescharacteristic
422#537C22×C13911yescharacteristic
423#536C22×C13911yescharacteristic
424#535C22×C13911yescharacteristic
425#497—21no—
426#496—21no—
427#495—21no—
428#492—21no—
429#471—24no—
430#470—21no—
431#470—21no—
432#469—21no—
433#469—21no—
434#468—21no—
435#468—21no—
436#467—21no—
437#466—21no—
438#465—21no—
439#465—21no—
440#465—21no—
441#465—21no—
442#443—24no—
443C2×#108C22×C13911yescharacteristic
444#428C22×C13911yescharacteristic
445#428C22×C13911yescharacteristic
446C2×#106C22×C13911yescharacteristic
447C2×#104C22×C13911yescharacteristic
448C2×#104C22×C13911yescharacteristic
449C2×#104C22×C13911yescharacteristic
450#417C22×C13911yescharacteristic
451#417C22×C13911yescharacteristic
452#416C22×C13911yescharacteristic
453C2×#103C22×C13911yescharacteristic
454C2×#102C22×C13911yescharacteristic
455C2×#101C22×C13911yescharacteristic
456C2×#100C22×C13911yescharacteristic
457#405C22×C13911yescharacteristic
458C2×C4×C8C22×C13911yescharacteristic
459#391C22×C13911yescharacteristic
460#390C22×C13911yescharacteristic
461#343C22×C13911yescharacteristic
462#343C22×C13911yescharacteristic
463#341C22×C13911yescharacteristic
464#339C22×C13911yescharacteristic
465C2×#41C23×C13911yescharacteristic
466C2×#41C23×C13911yescharacteristic
467C2×#41C23×C13911yescharacteristic
468C22×Q8C23×C13911yescharacteristic
469C22×D4C23×C13911yescharacteristic
470#137—22no—
471#137—22no—
472#137—41no—
473#137—41no—
474AGL(1,ℤ/8)—22no—
475AGL(1,ℤ/8)—22no—
476AGL(1,ℤ/8)—41no—
477AGL(1,ℤ/8)—41no—
478#135—22no—
479#135—22no—
480C2×Q16—21no—
481C2×Q16—21no—
482C2×Q16D4×C13911yescharacteristic
483C2×SD16—21no—
484C2×SD16—21no—
485C2×SD16—21no—
486C2×SD16—21no—
487C2×SD16—22no—
488C2×SD16—21no—
489C2×SD16—21no—
490C2×SD16—22no—
491C2×SD16D4×C13911yescharacteristic
492C2×SD16D4×C13911yescharacteristic
493C2×D8—21no—
494C2×D8—21no—
495C2×D8D4×C13911yescharacteristic
496#131—22no—
497#131—22no—
498#131—22no—
499#131—22no—
500#131—41no—
501#131—41no—
502C2×M16—21no—
503C2×M16—21no—
504C2×M16—21no—
505C2×M16C23×C13911yescharacteristic
506C2×M16C23×C13911yescharacteristic
507C2×M16C23×C13911yescharacteristic
508C2×M16C23×C13911yescharacteristic
509C22×C8—21no—
510C22×C8—21no—
511C22×C8—21no—
512C22×C8C23×C13911yescharacteristic
513C22×C8C23×C13911yescharacteristic
514C4⋊Q8—21no—
515#127—21no—
516#124—21no—
517#124—21no—
518#123—41no—
519C22⋊Q8—21no—
520C22⋊Q8—21no—
521C22⋊Q8—21no—
522C22⋊Q8—21no—
523C22⋊Q8—21no—
524C22⋊Q8—21no—
525#121—21no—
526#121—21no—
527#121—21no—
528#121—21no—
529#121—21no—
530#121—21no—
531#121—41no—
532#121—41no—
533#120—41no—
534#117C23×C13911yescharacteristic
535C2×C4⋊C4C23×C13911yescharacteristic
536C2×C4⋊C4C23×C13911yescharacteristic
537C2×C22⋊C4—41no—
538C2×C42C23×C13911yescharacteristic
539#108D4×C13914yescomplemented
540#107—21no—
541#107—21no—
542#106—21no—
543#106—21no—
544#106—21no—
545#106—21no—
546#104—22no—
547#104—22no—
548#104—22no—
549#103—21no—
550#103—21no—
551#103—21no—
552#103—21no—
553#103D4×C13911yescharacteristic
554#103D4×C13911yescharacteristic
555#102—21no—
556#102—21no—
557#102—21no—
558#102—21no—
559#102D4×C13911yescharacteristic
560#102D4×C13911yescharacteristic
561#101—22no—
562#100—22no—
563#97—21no—
564C4×C8—22no—
565C4×C8—21no—
566#95—41no—
567C24—21no—
568#41—21no—
569#41—21no—
570#41—21no—
571#41—21no—
572#41—21no—
573#41—21no—
574#41—21no—
575#41—21no—
576#41—21no—
577#41—21no—
578#41—21no—
579#41—21no—
580C2×Q8—21no—
581C2×Q8—21no—
582C2×Q8—21no—
583C2×Q8—21no—
584C2×Q8—21no—
585C2×Q8—21no—
586C2×Q8C2×D4×C13911yescharacteristic
587C2×Q8C2×D4×C13911yescharacteristic
588C2×Q8C2×D4×C13911yescharacteristic
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—21no—
594C2×D4—21no—
595C2×D4—21no—
596C2×D4—21no—
597C2×D4—21no—
598C2×D4—41no—
599C2×D4—41no—
600C2×D4—41no—
601C2×D4—41no—
602C2×D4C2×D4×C13911yescharacteristic
603C2×D4C2×D4×C13911yescharacteristic
604C2×D4C2×D4×C13911yescharacteristic
605C22×C4—21no—
606C22×C4—21no—
607C22×C4—21no—
608C22×C4—21no—
609C22×C4—21no—
610C22×C4—21no—
611C22×C4—21no—
612C22×C4C24×C13911yescharacteristic
613Q16—22no—
614Q16—42no—
615Q16—42no—
616SD16—22no—
617SD16—22no—
618SD16—42no—
619SD16—42no—
620SD16—42no—
621SD16—42no—
622SD16—42no—
623SD16—42no—
624D8—22no—
625D8—42no—
626D8—42no—
627M16—21no—
628M16—21no—
629M16—21no—
630M16—21no—
631M16—21no—
632M16—42no—
633M16—42no—
634M16—42no—
635M16C2×D4×C13912yes—
636M16C2×D4×C13912yes—
637M16#41×C13912yes—
638C2×C8—21no—
639C2×C8—21no—
640C2×C8—21no—
641C2×C8—21no—
642C2×C8—21no—
643C2×C8—21no—
644C2×C8—42no—
645C2×C8—42no—
646C2×C8—42no—
647C2×C8C2×D4×C13911yescharacteristic
648C2×C8C2×D4×C13911yescharacteristic
649C2×C8C2×D4×C13911yescharacteristic
650C2×C8C2×D4×C13912yes—
651C2×C8C2×D4×C13911yescharacteristic
652C2×C8#41×C13912yes—
653C4⋊C4—21no—
654C4⋊C4—21no—
655C4⋊C4—21no—
656C4⋊C4—21no—
657C4⋊C4—41no—
658C4⋊C4—41no—
659C4⋊C4—41no—
660C4⋊C4—41no—
661C4⋊C4C2×D4×C13911yescharacteristic
662C4⋊C4C2×D4×C13911yescharacteristic
663C22⋊C4—21no—
664C22⋊C4—41no—
665C22⋊C4—41no—
666C22⋊C4—41no—
667C22⋊C4—41no—
668C22⋊C4—41no—
669C22⋊C4—41no—
670C22⋊C4—41no—
671C22⋊C4—41no—
672C22⋊C4—82no—
673C42—21no—
674C42—21no—
675C42—21no—
676C23—21no—
677C23—21no—
678C23—21no—
679C23—41no—
680C23—41no—
681C23—41no—
682C23—81no—
683C23—81no—
684C23H(5,𝔽2)×C13911yescharacteristic
685Q8—21no—
686Q8—21no—
687Q8—21no—
688Q8—21no—
689Q8—21no—
690Q8—21no—
691Q8—41no—
692Q8—41no—
693Q8—41no—
694Q8—41no—
695D4—21no—
696D4—21no—
697D4—21no—
698D4—21no—
699D4—21no—
700D4—21no—
701D4—41no—
702D4—41no—
703D4—41no—
704D4—41no—
705D4—41no—
706D4—41no—
707D4—41no—
708D4—41no—
709D4—41no—
710D4—41no—
711D4—161no—
712D4—161no—
713D4—161no—
714D4—161no—
715C2×C4—22no—
716C2×C4—21no—
717C2×C4—21no—
718C2×C4—21no—
719C2×C4—21no—
720C2×C4—21no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—41no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—81no—
735C2×C4—81no—
736C2×C4C22×D4×C13911yescharacteristic
737C2×C4C22×D4×C13911yescharacteristic
738C2×C4C22×D4×C13911yescharacteristic
739C2×C4C2×#41×C13911yescharacteristic
740C2×C4C2×#41×C13911yescharacteristic
741C2×C4H(5,𝔽2)×C13911yescharacteristic
742C8—21no—
743C8—21no—
744C8—22no—
745C8—22no—
746C8—22no—
747C8—41no—
748C8#121×C13912yes—
749C8#121×C13912yes—
750C22—21no—
751C22—21no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—82no—
762C22—81no—
763C22—81no—
764C22—81no—
765C22—161no—
766C22#540×C13911yescharacteristic
767C22D42×C13911yescharacteristic
768C22#550×C13911yescharacteristic
769C4—42no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—81no—
776C4—81no—
777C4—81no—
778C4C2×#121×C13911yescharacteristic
779C4#532×C13911yescharacteristic
780C4D42×C13911yescharacteristic
781C4#546×C13911yescharacteristic
782C2—21no—
783C2—21no—
784C2—81no—
785C2—81no—
786C2—81no—
787C2—161no—
788C2#2428×C13911yescharacteristic
789C2#3290×C13911yescharacteristic
790C2#3291×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC22×C4C24×C139
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C22×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3154×C139C2semidirect
2. C2×#471×C139C2semidirect
3. #3063×C139C2semidirect
4. #3062×C139C2semidirect
5. #3060×C139C2semidirect
6. C2×#443×C139C2semidirect
7. #2038×C139C2semidirect
8. #2037×C139C2semidirect
9. #2007×C139C2semidirect
10. #2006×C139C2semidirect
11. #1968×C139C2semidirect
12. #1951×C139C2semidirect
13. #1908×C139C2semidirect
14. #1907×C139C2semidirect
15. #1764×C139C2semidirect
143. #108×C139D4semidirect
395. #25440C139direct (N × H)
396. C139#25440direct (N × H)
397. #3154C2×C139semidirect
398. C2×#471C2×C139semidirect
399. #3063C2×C139semidirect
400. #3062C2×C139semidirect
401. #3060C2×C139semidirect
402. C2×#443C2×C139semidirect
403. #2038C2×C139semidirect
404. #2037C2×C139semidirect
405. #2007C2×C139semidirect
406. #2006C2×C139semidirect
407. #1968C2×C139semidirect
408. #1951C2×C139semidirect
409. #1908C2×C139semidirect
410. #1907C2×C139semidirect
411. #1764C2×C139semidirect
539. #108D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3154×C1392
C2×#471×C1392
#3063×C1392
#3062×C1392
#3060×C1392
C2×#443×C1392
#2038×C1392
#2037×C1392
#2007×C1392
#2006×C1392
#1968×C1392
#1951×C1392
#1908×C1392
#1907×C1392
#1764×C1392
#25440139