Finite Group Databasebeta

← C139×#24931 #48019527

Subgroups — C139×#24931 #48019527

Order 35584.

870 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3098×C139C211yesmaximal, characteristic, complemented
2#3013×C139C211yesmaximal, characteristic
3#2951×C139C211yesmaximal, characteristic, complemented
4#2898×C139C211yesmaximal, characteristic, complemented
5#2095×C139C211yesmaximal, characteristic, complemented
6#2078×C139C211yesmaximal, characteristic, complemented
7#2052×C139C211yesmaximal, characteristic, complemented
8#2039×C139C211yesmaximal, characteristic, complemented
9#1930×C139C211yesmaximal, characteristic, complemented
10#1929×C139C211yesmaximal, characteristic, complemented
11#1882×C139C211yesmaximal, characteristic, complemented
12#1876×C139C211yesmaximal, characteristic, complemented
13#1859×C139C211yesmaximal, characteristic, complemented
14#1816×C139C211yesmaximal, characteristic, complemented
15#1793×C139C211yesmaximal, characteristic, complemented
16C2×2−1+4×C139C2211yescharacteristic
17C2×#137×C139C2211yescharacteristic
18C2×#135×C139C2211yescharacteristic
19C2×#131×C139C2211yescharacteristic
20#537×C139C2211yescharacteristic
21#520×C139C2211yescharacteristic
22#520×C139C2211yescharacteristic
23#485×C139—21no—
24#484×C139—21no—
25#482×C139—21no—
26#480×C139—21no—
27#452×C139—21no—
28#451×C139—21no—
29#449×C139—21no—
30#448×C139—21no—
31#440×C139—21no—
32#440×C139—21no—
33C4×Q16×C139—21no—
34C4×D8×C139—21no—
35C2×#108×C139C2211yescharacteristic
36#428×C139C2211yescharacteristic
37C2×#107×C139C2211yescharacteristic
38C2×#107×C139C2211yescharacteristic
39C2×#104×C139C2211yescharacteristic
40C2×#104×C139C2211yescharacteristic
41C2×#104×C139C2211yescharacteristic
42#419×C139—21no—
43#419×C139C2211yescharacteristic
44#417×C139—21no—
45#417×C139C2211yescharacteristic
46#417×C139C2211yescharacteristic
47#417×C139C2211yescharacteristic
48#417×C139C2211yescharacteristic
49#417×C139C2211yescharacteristic
50#416×C139—21no—
51#416×C139C2211yescharacteristic
52C2×#103×C139—21no—
53C2×#103×C139C2211yescharacteristic
54C2×#103×C139C2211yescharacteristic
55C2×#101×C139C2211yescharacteristic
56#408×C139C2211yescharacteristic
57#408×C139C2211yescharacteristic
58#405×C139C2211yescharacteristic
59#391×C139C2211yescharacteristic
60#384×C139C2211yescharacteristic
61#343×C139C2211yescharacteristic
62#343×C139C2211yescharacteristic
63#343×C139C2211yescharacteristic
64#341×C139C2211yescharacteristic
65#339×C139C2211yescharacteristic
66#336×C139C2211yescharacteristic
672−1+4×C139—22no—
682−1+4×C139—22no—
692−1+4×C139—22no—
702−1+4×C139—41no—
71C2×#41×C139—21no—
72C2×#41×C139—21no—
73C2×#41×C139—41no—
74C2×#41×C139C2311yescharacteristic
75C2×#41×C139C2311yescharacteristic
76C2×#41×C139C2311yescharacteristic
77C22×Q8×C139—21no—
78C22×Q8×C139—21no—
79C22×Q8×C139C2311yescharacteristic
80#137×C139—22no—
81#137×C139—41no—
82#135×C139—22no—
83#135×C139—22no—
84C2×Q16×C139—21no—
85C2×Q16×C139D411yescharacteristic
86C2×SD16×C139—21no—
87C2×SD16×C139D411yescharacteristic
88C2×SD16×C139D411yescharacteristic
89C2×D8×C139D411yescharacteristic
90#131×C139—22no—
91#131×C139—41no—
92C2×M16×C139—21no—
93C2×M16×C139C2311yescharacteristic
94C2×M16×C139C2311yescharacteristic
95C2×M16×C139C2311yescharacteristic
96C2×M16×C139C2311yescharacteristic
97C22×C8×C139—21no—
98C22×C8×C139C2311yescharacteristic
99C22×C8×C139C2311yescharacteristic
100C22⋊Q8×C139—21no—
101C22⋊Q8×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—41no—
105C4×Q8×C139—21no—
106C4×Q8×C139—21no—
107C4×D4×C139—21no—
108C4×D4×C139—21no—
109C4×D4×C139—41no—
110C4×D4×C139—41no—
111#117×C139—21no—
112#117×C139—21no—
113#117×C139C2311yescharacteristic
114C2×C4⋊C4×C139—21no—
115C2×C4⋊C4×C139—21no—
116C2×C4⋊C4×C139—41no—
117C2×C4⋊C4×C139C2311yescharacteristic
118C2×C4⋊C4×C139C2311yescharacteristic
119C2×C4⋊C4×C139C2311yescharacteristic
120C2×C42×C139C2311yescharacteristic
121#108×C139—41no—
122#107×C139—21no—
123#107×C139—21no—
124#107×C139—21no—
125#107×C139—21no—
126#107×C139—21no—
127#106×C139—21no—
128#104×C139—22no—
129#104×C139—41no—
130#104×C139—41no—
131#103×C139—21no—
132#103×C139—21no—
133#103×C139—21no—
134#103×C139—21no—
135#103×C139—21no—
136#103×C139—21no—
137#103×C139—21no—
138#103×C139—21no—
139#103×C139—21no—
140#103×C139—21no—
141#103×C139—21no—
142#103×C139D411yescharacteristic
143#103×C139D411yescharacteristic
144#102×C139—21no—
145#102×C139—21no—
146#102×C139—21no—
147#102×C139—21no—
148#102×C139—21no—
149#102×C139D411yescharacteristic
150#102×C139D411yescharacteristic
151#101×C139—22no—
152C22⋊C8×C139—21no—
153C22⋊C8×C139—21no—
154C22⋊C8×C139—21no—
155C22⋊C8×C139—21no—
156#97×C139—21no—
157C4×C8×C139—21no—
158#95×C139—41no—
159#41×C139—21no—
160#41×C139—21no—
161#41×C139—24no—
162#41×C139—21no—
163#41×C139—21no—
164#41×C139—21no—
165#41×C139—21no—
166#41×C139—21no—
167#41×C139—21no—
168#41×C139—21no—
169#41×C139—21no—
170#41×C139—42no—
171#41×C139—44no—
172#41×C139—42no—
173#41×C139—44no—
174#41×C139—42no—
175#41×C139#4112yes—
176#41×C139#4112yes—
177C2×Q8×C139—21no—
178C2×Q8×C139—24no—
179C2×Q8×C139—21no—
180C2×Q8×C139—21no—
181C2×Q8×C139—21no—
182C2×Q8×C139—21no—
183C2×Q8×C139—41no—
184C2×Q8×C139—42no—
185C2×Q8×C139—42no—
186C2×Q8×C139—42no—
187C2×Q8×C139C2×D411yescharacteristic
188C2×Q8×C139C2×D411yescharacteristic
189C2×Q8×C139C2×D411yescharacteristic
190C2×Q8×C139#4112yes—
191C2×D4×C139—21no—
192C2×D4×C139—21no—
193C2×D4×C139—21no—
194C2×D4×C139—41no—
195C2×D4×C139—41no—
196C2×D4×C139C2×D411yescharacteristic
197C2×D4×C139C2×D411yescharacteristic
198C2×D4×C139C2×D411yescharacteristic
199C22×C4×C139—21no—
200C22×C4×C139—21no—
201C22×C4×C139—21no—
202C22×C4×C139—21no—
203C22×C4×C139—21no—
204C22×C4×C139—21no—
205C22×C4×C139—21no—
206C22×C4×C139—21no—
207C22×C4×C139—41no—
208C22×C4×C139—41no—
209C22×C4×C139—41no—
210C22×C4×C139—41no—
211C22×C4×C139C2411yescharacteristic
212Q16×C139—22no—
213Q16×C139—42no—
214SD16×C139—22no—
215SD16×C139—22no—
216SD16×C139—42no—
217D8×C139—22no—
218M16×C139—21no—
219M16×C139—21no—
220M16×C139—21no—
221M16×C139—21no—
222M16×C139—21no—
223M16×C139—21no—
224M16×C139—21no—
225M16×C139—21no—
226M16×C139—42no—
227C2×C8×C139—21no—
228C2×C8×C139—21no—
229C2×C8×C139—21no—
230C2×C8×C139—21no—
231C2×C8×C139—21no—
232C2×C8×C139—21no—
233C2×C8×C139—21no—
234C2×C8×C139—21no—
235C2×C8×C139—42no—
236C2×C8×C139C2×D411yescharacteristic
237C2×C8×C139C2×D411yescharacteristic
238C2×C8×C139C2×D411yescharacteristic
239C2×C8×C139C2×D411yescharacteristic
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×C139—41no—
249C4⋊C4×C139—82no—
250C4⋊C4×C139C2×D411yescharacteristic
251C4⋊C4×C139C2×D411yescharacteristic
252C22⋊C4×C139—21no—
253C22⋊C4×C139—41no—
254C22⋊C4×C139—41no—
255C22⋊C4×C139—41no—
256C22⋊C4×C139—41no—
257C42×C139—21no—
258C42×C139—21no—
259C42×C139—21no—
260C42×C139—41no—
261C42×C139—41no—
262C23×C139—21no—
263C23×C139—21no—
264C23×C139—21no—
265C23×C139H(5,𝔽2)11yescharacteristic
266Q8×C139—21no—
267Q8×C139—21no—
268Q8×C139—21no—
269Q8×C139—22no—
270Q8×C139—22no—
271Q8×C139—21no—
272Q8×C139—21no—
273Q8×C139—44no—
274Q8×C139—41no—
275Q8×C139—41no—
276Q8×C139#12312yes—
277D4×C139—22no—
278D4×C139—22no—
279D4×C139—21no—
280D4×C139—21no—
281D4×C139—21no—
282D4×C139—21no—
283D4×C139—21no—
284D4×C139—44no—
285D4×C139—41no—
286D4×C139—41no—
287D4×C139—41no—
288D4×C139—41no—
289D4×C139—161no—
290D4×C139#12312yes—
291C2×C4×C139—21no—
292C2×C4×C139—22no—
293C2×C4×C139—22no—
294C2×C4×C139—22no—
295C2×C4×C139—21no—
296C2×C4×C139—21no—
297C2×C4×C139—21no—
298C2×C4×C139—21no—
299C2×C4×C139—22no—
300C2×C4×C139—44no—
301C2×C4×C139—41no—
302C2×C4×C139—44no—
303C2×C4×C139—41no—
304C2×C4×C139—41no—
305C2×C4×C139—41no—
306C2×C4×C139—41no—
307C2×C4×C139—41no—
308C2×C4×C139—41no—
309C2×C4×C139—41no—
310C2×C4×C139—41no—
311C2×C4×C139—41no—
312C2×C4×C139—41no—
313C2×C4×C139—81no—
314C2×C4×C139—81no—
315C2×C4×C139—81no—
316C2×C4×C139—161no—
317C2×C4×C139—161no—
318C2×C4×C139C22×D411yescharacteristic
319C2×C4×C139C22×D411yescharacteristic
320C2×C4×C139C2×#4111yescharacteristic
321C2×C4×C139C2×#4111yescharacteristic
322C2×C4×C139C2×#4111yescharacteristic
323C2×C4×C139H(5,𝔽2)11yescharacteristic
324C8×C139—21no—
325C8×C139—21no—
326C8×C139—21no—
327C8×C139—21no—
328C8×C139—41no—
329C8×C139—41no—
330C8×C139—41no—
331C8×C139—41no—
332C22×C139—21no—
333C22×C139—21no—
334C22×C139—22no—
335C22×C139—41no—
336C22×C139—41no—
337C22×C139—41no—
338C22×C139—41no—
339C22×C139—41no—
340C22×C139—41no—
341C22×C139—41no—
342C22×C139—41no—
343C22×C139#53811yescharacteristic
344C22×C139D4211yescharacteristic
345C22×C139#55111yescharacteristic
346C4×C139—22no—
347C4×C139—42no—
348C4×C139—41no—
349C4×C139—42no—
350C4×C139—41no—
351C4×C139—41no—
352C4×C139—41no—
353C4×C139—81no—
354C4×C139—81no—
355C4×C139—81no—
356C4×C139C2×#12311yescharacteristic
357C4×C139#52511yescharacteristic
358C4×C139#54611yescharacteristic
359C4×C139#54611yescharacteristic
360C2×C139—21no—
361C2×C139—21no—
362C2×C139—42no—
363C2×C139—81no—
364C2×C139—81no—
365C2×C139#241811yescharacteristic
366C2×C139#328811yescharacteristic
367C2×C139#329311yescharacteristic
368#24931C13911yesmaximal, characteristic, direct product factor, Sylow
369C139#2493111yescharacteristic, direct product factor, Sylow
370#3098C2×C13911yescharacteristic, complemented
371#3013C2×C13911yescharacteristic
372#2951C2×C13911yescharacteristic, complemented
373#2898C2×C13911yescharacteristic, complemented
374#2095C2×C13911yescharacteristic, complemented
375#2078C2×C13911yescharacteristic, complemented
376#2052C2×C13911yescharacteristic, complemented
377#2039C2×C13911yescharacteristic, complemented
378#1930C2×C13911yescharacteristic, complemented
379#1929C2×C13911yescharacteristic, complemented
380#1882C2×C13911yescharacteristic, complemented
381#1876C2×C13911yescharacteristic, complemented
382#1859C2×C13911yescharacteristic, complemented
383#1816C2×C13911yescharacteristic, complemented
384#1793C2×C13911yescharacteristic, complemented
385C2×2−1+4C22×C13911yescharacteristic
386C2×#137C22×C13911yescharacteristic
387C2×#135C22×C13911yescharacteristic
388C2×#131C22×C13911yescharacteristic
389#537C22×C13911yescharacteristic
390#520C22×C13911yescharacteristic
391#520C22×C13911yescharacteristic
392#485—21no—
393#484—21no—
394#482—21no—
395#480—21no—
396#452—21no—
397#451—21no—
398#449—21no—
399#448—21no—
400#440—21no—
401#440—21no—
402C4×Q16—21no—
403C4×D8—21no—
404C2×#108C22×C13911yescharacteristic
405#428C22×C13911yescharacteristic
406C2×#107C22×C13911yescharacteristic
407C2×#107C22×C13911yescharacteristic
408C2×#104C22×C13911yescharacteristic
409C2×#104C22×C13911yescharacteristic
410C2×#104C22×C13911yescharacteristic
411#419—21no—
412#419C22×C13911yescharacteristic
413#417—21no—
414#417C22×C13911yescharacteristic
415#417C22×C13911yescharacteristic
416#417C22×C13911yescharacteristic
417#417C22×C13911yescharacteristic
418#417C22×C13911yescharacteristic
419#416—21no—
420#416C22×C13911yescharacteristic
421C2×#103—21no—
422C2×#103C22×C13911yescharacteristic
423C2×#103C22×C13911yescharacteristic
424C2×#101C22×C13911yescharacteristic
425#408C22×C13911yescharacteristic
426#408C22×C13911yescharacteristic
427#405C22×C13911yescharacteristic
428#391C22×C13911yescharacteristic
429#384C22×C13911yescharacteristic
430#343C22×C13911yescharacteristic
431#343C22×C13911yescharacteristic
432#343C22×C13911yescharacteristic
433#341C22×C13911yescharacteristic
434#339C22×C13911yescharacteristic
435#336C22×C13911yescharacteristic
4362−1+4—22no—
4372−1+4—22no—
4382−1+4—22no—
4392−1+4—41no—
440C2×#41—21no—
441C2×#41—21no—
442C2×#41—41no—
443C2×#41C23×C13911yescharacteristic
444C2×#41C23×C13911yescharacteristic
445C2×#41C23×C13911yescharacteristic
446C22×Q8—21no—
447C22×Q8—21no—
448C22×Q8C23×C13911yescharacteristic
449#137—22no—
450#137—41no—
451#135—22no—
452#135—22no—
453C2×Q16—21no—
454C2×Q16D4×C13911yescharacteristic
455C2×SD16—21no—
456C2×SD16D4×C13911yescharacteristic
457C2×SD16D4×C13911yescharacteristic
458C2×D8D4×C13911yescharacteristic
459#131—22no—
460#131—41no—
461C2×M16—21no—
462C2×M16C23×C13911yescharacteristic
463C2×M16C23×C13911yescharacteristic
464C2×M16C23×C13911yescharacteristic
465C2×M16C23×C13911yescharacteristic
466C22×C8—21no—
467C22×C8C23×C13911yescharacteristic
468C22×C8C23×C13911yescharacteristic
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471#121—21no—
472#121—21no—
473#121—41no—
474C4×Q8—21no—
475C4×Q8—21no—
476C4×D4—21no—
477C4×D4—21no—
478C4×D4—41no—
479C4×D4—41no—
480#117—21no—
481#117—21no—
482#117C23×C13911yescharacteristic
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—41no—
486C2×C4⋊C4C23×C13911yescharacteristic
487C2×C4⋊C4C23×C13911yescharacteristic
488C2×C4⋊C4C23×C13911yescharacteristic
489C2×C42C23×C13911yescharacteristic
490#108—41no—
491#107—21no—
492#107—21no—
493#107—21no—
494#107—21no—
495#107—21no—
496#106—21no—
497#104—22no—
498#104—41no—
499#104—41no—
500#103—21no—
501#103—21no—
502#103—21no—
503#103—21no—
504#103—21no—
505#103—21no—
506#103—21no—
507#103—21no—
508#103—21no—
509#103—21no—
510#103—21no—
511#103D4×C13911yescharacteristic
512#103D4×C13911yescharacteristic
513#102—21no—
514#102—21no—
515#102—21no—
516#102—21no—
517#102—21no—
518#102D4×C13911yescharacteristic
519#102D4×C13911yescharacteristic
520#101—22no—
521C22⋊C8—21no—
522C22⋊C8—21no—
523C22⋊C8—21no—
524C22⋊C8—21no—
525#97—21no—
526C4×C8—21no—
527#95—41no—
528#41—21no—
529#41—21no—
530#41—24no—
531#41—21no—
532#41—21no—
533#41—21no—
534#41—21no—
535#41—21no—
536#41—21no—
537#41—21no—
538#41—21no—
539#41—42no—
540#41—44no—
541#41—42no—
542#41—44no—
543#41—42no—
544#41#41×C13912yes—
545#41#41×C13912yes—
546C2×Q8—21no—
547C2×Q8—24no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—41no—
553C2×Q8—42no—
554C2×Q8—42no—
555C2×Q8—42no—
556C2×Q8C2×D4×C13911yescharacteristic
557C2×Q8C2×D4×C13911yescharacteristic
558C2×Q8C2×D4×C13911yescharacteristic
559C2×Q8#41×C13912yes—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—41no—
564C2×D4—41no—
565C2×D4C2×D4×C13911yescharacteristic
566C2×D4C2×D4×C13911yescharacteristic
567C2×D4C2×D4×C13911yescharacteristic
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—41no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C24×C13911yescharacteristic
581Q16—22no—
582Q16—42no—
583SD16—22no—
584SD16—22no—
585SD16—42no—
586D8—22no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—42no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—42no—
605C2×C8C2×D4×C13911yescharacteristic
606C2×C8C2×D4×C13911yescharacteristic
607C2×C8C2×D4×C13911yescharacteristic
608C2×C8C2×D4×C13911yescharacteristic
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—41no—
616C4⋊C4—41no—
617C4⋊C4—41no—
618C4⋊C4—82no—
619C4⋊C4C2×D4×C13911yescharacteristic
620C4⋊C4C2×D4×C13911yescharacteristic
621C22⋊C4—21no—
622C22⋊C4—41no—
623C22⋊C4—41no—
624C22⋊C4—41no—
625C22⋊C4—41no—
626C42—21no—
627C42—21no—
628C42—21no—
629C42—41no—
630C42—41no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23H(5,𝔽2)×C13911yescharacteristic
635Q8—21no—
636Q8—21no—
637Q8—21no—
638Q8—22no—
639Q8—22no—
640Q8—21no—
641Q8—21no—
642Q8—44no—
643Q8—41no—
644Q8—41no—
645Q8#123×C13912yes—
646D4—22no—
647D4—22no—
648D4—21no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—21no—
653D4—44no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—161no—
659D4#123×C13912yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—44no—
670C2×C4—41no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—161no—
686C2×C4—161no—
687C2×C4C22×D4×C13911yescharacteristic
688C2×C4C22×D4×C13911yescharacteristic
689C2×C4C2×#41×C13911yescharacteristic
690C2×C4C2×#41×C13911yescharacteristic
691C2×C4C2×#41×C13911yescharacteristic
692C2×C4H(5,𝔽2)×C13911yescharacteristic
693C8—21no—
694C8—21no—
695C8—21no—
696C8—21no—
697C8—41no—
698C8—41no—
699C8—41no—
700C8—41no—
701C22—21no—
702C22—21no—
703C22—22no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22#538×C13911yescharacteristic
713C22D42×C13911yescharacteristic
714C22#551×C13911yescharacteristic
715C4—22no—
716C4—42no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—42no—
721C4—41no—
722C4—81no—
723C4—81no—
724C4—81no—
725C4C2×#123×C13911yescharacteristic
726C4#525×C13911yescharacteristic
727C4#546×C13911yescharacteristic
728C4#546×C13911yescharacteristic
729C2—21no—
730C2—21no—
731C2—42no—
732C2—81no—
733C2—81no—
734C2#2418×C13911yescharacteristic
735C2#3288×C13911yescharacteristic
736C2#3293×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC22×C4C24×C139
prime radical#3013×C139C2
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. #3098×C139C2semidirect
3. #2951×C139C2semidirect
4. #2898×C139C2semidirect
5. #2095×C139C2semidirect
6. #2078×C139C2semidirect
7. #2052×C139C2semidirect
8. #2039×C139C2semidirect
9. #1930×C139C2semidirect
10. #1929×C139C2semidirect
11. #1882×C139C2semidirect
12. #1876×C139C2semidirect
13. #1859×C139C2semidirect
14. #1816×C139C2semidirect
15. #1793×C139C2semidirect
368. #24931C139direct (N × H)
369. C139#24931direct (N × H)
370. #3098C2×C139semidirect
372. #2951C2×C139semidirect
373. #2898C2×C139semidirect
374. #2095C2×C139semidirect
375. #2078C2×C139semidirect
376. #2052C2×C139semidirect
377. #2039C2×C139semidirect
378. #1930C2×C139semidirect
379. #1929C2×C139semidirect
380. #1882C2×C139semidirect
381. #1876C2×C139semidirect
382. #1859C2×C139semidirect
383. #1816C2×C139semidirect
384. #1793C2×C139semidirect

Maximal subgroups

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

subgroupindex
#3098×C1392
#3013×C1392
#2951×C1392
#2898×C1392
#2095×C1392
#2078×C1392
#2052×C1392
#2039×C1392
#1930×C1392
#1929×C1392
#1882×C1392
#1876×C1392
#1859×C1392
#1816×C1392
#1793×C1392
#24931139