Finite Group Databasebeta

← C139×#18418 #48013014

Subgroups — C139×#18418 #48013014

Order 35584.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C139C211yesmaximal, characteristic, complemented
2#3192×C139C211yesmaximal, characteristic, complemented
3#3188×C139C211yesmaximal, characteristic, complemented
4#2656×C139C211yesmaximal, characteristic, complemented
5#1618×C139C212yesmaximal, complemented
6#1613×C139C212yesmaximal, complemented
7#1600×C139C212yesmaximal, complemented
8#1595×C139C212yesmaximal, complemented
9#1504×C139C211yesmaximal, characteristic, complemented
10C2×#327×C139C211yesmaximal, characteristic, complemented
11#1471×C139C211yesmaximal, characteristic, complemented
12#560×C139—22no—
13#553×C139—21no—
14#553×C139—21no—
15D42×C139—22no—
16D42×C139—21no—
17D42×C139—21no—
18#540×C139—21no—
19#538×C139—21no—
20#538×C139C2212yes—
21#535×C139—21no—
22#534×C139—21no—
23#534×C139C2212yes—
24#525×C139C2211yescharacteristic
25C2×#121×C139—22no—
26C2×#121×C139C2211yescharacteristic
27C2×#121×C139C2211yescharacteristic
28C2×#121×C139C2211yescharacteristic, complemented
29#484×C139C2211yescharacteristic, complemented
30#482×C139—21no—
31#481×C139—21no—
32#481×C139C2211yescharacteristic, complemented
33#481×C139C2212yescomplemented
34#469×C139—22no—
35#466×C139—21no—
36#465×C139—21no—
37#450×C139C2211yescharacteristic, complemented
38#449×C139—21no—
39#447×C139—21no—
40#447×C139C2211yescharacteristic, complemented
41#447×C139C2212yescomplemented
42#407×C139C2211yescharacteristic, complemented
43C2×C22⋊C8×C139C2211yescharacteristic, complemented
44#399×C139—21no—
45#399×C139C2212yescomplemented
46#392×C139—21no—
47#392×C139C2212yescomplemented
48C2×#95×C139C2211yescharacteristic, complemented
49#328×C139C2212yescomplemented
50#327×C139C2212yescomplemented
51#327×C139C2212yescomplemented
52#327×C139C2212yescomplemented
53#323×C139C2212yescomplemented
54#323×C139C2212yescomplemented
55C2×#41×C139D411yescharacteristic, complemented
56C22×D4×C139—22no—
57C22×D4×C139—21no—
58C22×D4×C139—21no—
59C22×D4×C139—22no—
60C22×D4×C139—21no—
61C22×D4×C139—22no—
62C22×D4×C139D412yes—
63C22×D4×C139D411yescharacteristic
64C22×D4×C139D411yescharacteristic, complemented
65C22×D4×C139C2311yescharacteristic
66C23×C4×C139—21no—
67C23×C4×C139C2311yescharacteristic
68C2×SD16×C139—21no—
69C2×D8×C139—22no—
70C2×D8×C139—21no—
71C2×M16×C139—21no—
72C22×C8×C139—21no—
73#127×C139—22no—
74#127×C139—21no—
75#126×C139—22no—
76#126×C139—22no—
77#125×C139—21no—
78#124×C139—22no—
79#123×C139—22no—
80#123×C139—21no—
81#123×C139—22no—
82#123×C139—22no—
83#123×C139—22no—
84C22⋊Q8×C139D411yescharacteristic, complemented
85C22⋊Q8×C139C2311yescharacteristic
86#121×C139—22no—
87#121×C139—21no—
88#121×C139—21no—
89#121×C139—22no—
90#121×C139—22no—
91#121×C139—22no—
92#121×C139—22no—
93#121×C139—21no—
94#121×C139—21no—
95#121×C139—21no—
96#121×C139—21no—
97#121×C139—21no—
98#121×C139—21no—
99#121×C139—22no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—48no—
105#121×C139D411yescharacteristic, complemented
106#121×C139D412yescomplemented
107#121×C139C2312yes—
108#121×C139C2311yescharacteristic
109#120×C139—22no—
110#120×C139—22no—
111#120×C139—22no—
112#120×C139—21no—
113#120×C139—22no—
114#120×C139—22no—
115#120×C139—22no—
116C4×D4×C139—22no—
117C4×D4×C139—21no—
118C4×D4×C139—21no—
119C4×D4×C139—21no—
120C4×D4×C139—21no—
121C4×D4×C139—22no—
122#117×C139—21no—
123#117×C139D411yescharacteristic, complemented
124C2×C4⋊C4×C139—22no—
125C2×C4⋊C4×C139D411yescharacteristic
126C2×C4⋊C4×C139D411yescharacteristic, complemented
127C2×C4⋊C4×C139C2311yescharacteristic
128C2×C22⋊C4×C139—21no—
129C2×C22⋊C4×C139—22no—
130C2×C22⋊C4×C139—22no—
131C2×C22⋊C4×C139—21no—
132C2×C22⋊C4×C139C2312yes—
133#107×C139—21no—
134#106×C139—21no—
135#106×C139—22no—
136#103×C139—21no—
137#102×C139—22no—
138#102×C139—21no—
139#102×C139—21no—
140#102×C139—22no—
141#102×C139—21no—
142C22⋊C8×C139—21no—
143C22⋊C8×C139—21no—
144C22⋊C8×C139C2311yescharacteristic
145C22⋊C8×C139C2311yescharacteristic
146C22⋊C8×C139C2312yes—
147#95×C139—21no—
148#95×C139C2312yes—
149C24×C139—22no—
150C24×C139—21no—
151C24×C139—21no—
152C24×C139C2×D411yescharacteristic
153C24×C139C2×D412yes—
154#41×C139—81no—
155C2×Q8×C139C2×D411yescharacteristic
156C2×D4×C139—22no—
157C2×D4×C139—21no—
158C2×D4×C139—21no—
159C2×D4×C139—22no—
160C2×D4×C139—22no—
161C2×D4×C139—22no—
162C2×D4×C139—22no—
163C2×D4×C139—22no—
164C2×D4×C139—22no—
165C2×D4×C139—21no—
166C2×D4×C139—22no—
167C2×D4×C139—22no—
168C2×D4×C139—21no—
169C2×D4×C139—21no—
170C2×D4×C139—21no—
171C2×D4×C139—21no—
172C2×D4×C139—21no—
173C2×D4×C139—44no—
174C2×D4×C139—44no—
175C2×D4×C139—44no—
176C2×D4×C139—41no—
177C2×D4×C139—41no—
178C2×D4×C139—81no—
179C2×D4×C139—81no—
180C2×D4×C139—82no—
181C2×D4×C139—81no—
182C2×D4×C139—82no—
183C2×D4×C139—82no—
184C2×D4×C139—81no—
185C2×D4×C139—81no—
186C2×D4×C139—82no—
187C2×D4×C139—82no—
188C2×D4×C139—84no—
189C2×D4×C139C2×D411yescharacteristic
190C2×D4×C139C2×D412yes—
191C22×C4×C139—22no—
192C22×C4×C139—22no—
193C22×C4×C139—22no—
194C22×C4×C139—24no—
195C22×C4×C139—21no—
196C22×C4×C139—21no—
197C22×C4×C139—21no—
198C22×C4×C139—81no—
199C22×C4×C139—81no—
200C22×C4×C139—81no—
201C22×C4×C139C2×D412yes—
202C22×C4×C139C2×D411yescharacteristic
203C22×C4×C139C2×D411yescharacteristic
204C22×C4×C139C2×D411yescharacteristic
205C22×C4×C139C2×D411yescharacteristic
206C22×C4×C139C2×D411yescharacteristic
207C22×C4×C139C2411yescharacteristic
208SD16×C139—81no—
209D8×C139—81no—
210D8×C139—82no—
211M16×C139—81no—
212C2×C8×C139—21no—
213C2×C8×C139—22no—
214C2×C8×C139—21no—
215C2×C8×C139—81no—
216C4⋊C4×C139—22no—
217C4⋊C4×C139—22no—
218C4⋊C4×C139—21no—
219C4⋊C4×C139—21no—
220C4⋊C4×C139—21no—
221C4⋊C4×C139—21no—
222C4⋊C4×C139—21no—
223C4⋊C4×C139—21no—
224C4⋊C4×C139—21no—
225C4⋊C4×C139—44no—
226C4⋊C4×C139C2×D412yes—
227C4⋊C4×C139C2×D411yescharacteristic
228C4⋊C4×C139C2×D411yescharacteristic
229C22⋊C4×C139—22no—
230C22⋊C4×C139—22no—
231C22⋊C4×C139—22no—
232C22⋊C4×C139—22no—
233C22⋊C4×C139—22no—
234C22⋊C4×C139—21no—
235C22⋊C4×C139—21no—
236C22⋊C4×C139—21no—
237C22⋊C4×C139—22no—
238C22⋊C4×C139—21no—
239C22⋊C4×C139—22no—
240C22⋊C4×C139—22no—
241C22⋊C4×C139—22no—
242C22⋊C4×C139—21no—
243C22⋊C4×C139—44no—
244C22⋊C4×C139—44no—
245C22⋊C4×C139—41no—
246C22⋊C4×C139—41no—
247C42×C139—22no—
248C42×C139—21no—
249C23×C139—21no—
250C23×C139—21no—
251C23×C139—22no—
252C23×C139—22no—
253C23×C139—22no—
254C23×C139—21no—
255C23×C139—22no—
256C23×C139—22no—
257C23×C139—41no—
258C23×C139—42no—
259C23×C139—42no—
260C23×C139—42no—
261C23×C139—42no—
262C23×C139—42no—
263C23×C139—41no—
264C23×C139—41no—
265C23×C139—41no—
266C23×C139—81no—
267C23×C139—81no—
268C23×C139—82no—
269C23×C139—82no—
270C23×C139—82no—
271C23×C139#12011yescharacteristic
272C23×C139#12011yescharacteristic
273C23×C139C22×D411yescharacteristic
274Q8×C139—41no—
275D4×C139—42no—
276D4×C139—41no—
277D4×C139—42no—
278D4×C139—42no—
279D4×C139—42no—
280D4×C139—41no—
281D4×C139—41no—
282D4×C139—42no—
283D4×C139—41no—
284D4×C139—42no—
285D4×C139—41no—
286D4×C139—44no—
287D4×C139—42no—
288D4×C139—81no—
289D4×C139—82no—
290D4×C139—82no—
291D4×C139—81no—
292D4×C139—82no—
293D4×C139—82no—
294D4×C139—82no—
295D4×C139—82no—
296D4×C139—82no—
297D4×C139—88no—
298D4×C139—82no—
299D4×C139—82no—
300C2×C4×C139—24no—
301C2×C4×C139—21no—
302C2×C4×C139—22no—
303C2×C4×C139—22no—
304C2×C4×C139—21no—
305C2×C4×C139—21no—
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—42no—
313C2×C4×C139—42no—
314C2×C4×C139—42no—
315C2×C4×C139—42no—
316C2×C4×C139—42no—
317C2×C4×C139—41no—
318C2×C4×C139—81no—
319C2×C4×C139—84no—
320C2×C4×C139—82no—
321C2×C4×C139—82no—
322C2×C4×C139#12011yescharacteristic
323C2×C4×C139#12011yescharacteristic
324C2×C4×C139C22×D411yescharacteristic
325C2×C4×C139C22×D411yescharacteristic
326C8×C139—41no—
327C8×C139—41no—
328C8×C139—42no—
329C22×C139—21no—
330C22×C139—21no—
331C22×C139—21no—
332C22×C139—21no—
333C22×C139—21no—
334C22×C139—21no—
335C22×C139—21no—
336C22×C139—42no—
337C22×C139—42no—
338C22×C139—42no—
339C22×C139—42no—
340C22×C139—41no—
341C22×C139—42no—
342C22×C139—42no—
343C22×C139—41no—
344C22×C139—41no—
345C22×C139—42no—
346C22×C139—42no—
347C22×C139—82no—
348C22×C139—82no—
349C22×C139—82no—
350C22×C139—82no—
351C22×C139—81no—
352C22×C139—81no—
353C22×C139—81no—
354C22×C139—162no—
355C22×C139—164no—
356C22×C139#45312yes—
357C22×C139C2×#12011yescharacteristic
358C22×C139#57611yescharacteristic
359C22×C139#57711yescharacteristic
360C4×C139—21no—
361C4×C139—21no—
362C4×C139—21no—
363C4×C139—21no—
364C4×C139—44no—
365C4×C139—42no—
366C4×C139—41no—
367C4×C139—42no—
368C4×C139—41no—
369C4×C139—41no—
370C4×C139—81no—
371C2×C139—21no—
372C2×C139—21no—
373C2×C139—22no—
374C2×C139—41no—
375C2×C139—82no—
376C2×C139—82no—
377C2×C139—81no—
378C2×C139—161no—
379C2×C139#301211yescharacteristic
380C2×C139C2×#45311yescharacteristic
381C2×C139#302611yescharacteristic
382#18418C13911yesmaximal, characteristic, direct product factor, Sylow
383C139#1841811yescharacteristic, direct product factor, Sylow
384#3537C2×C13911yescharacteristic, complemented
385#3192C2×C13911yescharacteristic, complemented
386#3188C2×C13911yescharacteristic, complemented
387#2656C2×C13911yescharacteristic, complemented
388#1618C2×C13912yescomplemented
389#1613C2×C13912yescomplemented
390#1600C2×C13912yescomplemented
391#1595C2×C13912yescomplemented
392#1504C2×C13911yescharacteristic, complemented
393C2×#327C2×C13911yescharacteristic, complemented
394#1471C2×C13911yescharacteristic, complemented
395#560—22no—
396#553—21no—
397#553—21no—
398D42—22no—
399D42—21no—
400D42—21no—
401#540—21no—
402#538—21no—
403#538C22×C13912yes—
404#535—21no—
405#534—21no—
406#534C22×C13912yes—
407#525C22×C13911yescharacteristic
408C2×#121—22no—
409C2×#121C22×C13911yescharacteristic
410C2×#121C22×C13911yescharacteristic
411C2×#121C22×C13911yescharacteristic, complemented
412#484C22×C13911yescharacteristic, complemented
413#482—21no—
414#481—21no—
415#481C22×C13911yescharacteristic, complemented
416#481C22×C13912yescomplemented
417#469—22no—
418#466—21no—
419#465—21no—
420#450C22×C13911yescharacteristic, complemented
421#449—21no—
422#447—21no—
423#447C22×C13911yescharacteristic, complemented
424#447C22×C13912yescomplemented
425#407C22×C13911yescharacteristic, complemented
426C2×C22⋊C8C22×C13911yescharacteristic, complemented
427#399—21no—
428#399C22×C13912yescomplemented
429#392—21no—
430#392C22×C13912yescomplemented
431C2×#95C22×C13911yescharacteristic, complemented
432#328C22×C13912yescomplemented
433#327C22×C13912yescomplemented
434#327C22×C13912yescomplemented
435#327C22×C13912yescomplemented
436#323C22×C13912yescomplemented
437#323C22×C13912yescomplemented
438C2×#41D4×C13911yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C13912yes—
446C22×D4D4×C13911yescharacteristic
447C22×D4D4×C13911yescharacteristic, complemented
448C22×D4C23×C13911yescharacteristic
449C23×C4—21no—
450C23×C4C23×C13911yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C13911yescharacteristic, complemented
468C22⋊Q8C23×C13911yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C13912yescomplemented
489#121D4×C13911yescharacteristic, complemented
490#121C23×C13912yes—
491#121C23×C13911yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C13911yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C13911yescharacteristic
509C2×C4⋊C4D4×C13911yescharacteristic, complemented
510C2×C4⋊C4C23×C13911yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C13912yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C13911yescharacteristic
528C22⋊C8C23×C13911yescharacteristic
529C22⋊C8C23×C13912yes—
530#95—21no—
531#95C23×C13912yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C13911yescharacteristic
536C24C2×D4×C13912yes—
537#41—81no—
538C2×Q8C2×D4×C13911yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C13911yescharacteristic
573C2×D4C2×D4×C13912yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C13912yes—
585C22×C4C2×D4×C13911yescharacteristic
586C22×C4C2×D4×C13911yescharacteristic
587C22×C4C2×D4×C13911yescharacteristic
588C22×C4C2×D4×C13911yescharacteristic
589C22×C4C2×D4×C13911yescharacteristic
590C22×C4C24×C13911yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C13912yes—
610C4⋊C4C2×D4×C13911yescharacteristic
611C4⋊C4C2×D4×C13911yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—22no—
633C23—21no—
634C23—21no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C13911yescharacteristic
655C23#120×C13911yescharacteristic
656C23C22×D4×C13911yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—44no—
666D4—42no—
667D4—42no—
668D4—41no—
669D4—42no—
670D4—41no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C13911yescharacteristic
706C2×C4#120×C13911yescharacteristic
707C2×C4C22×D4×C13911yescharacteristic
708C2×C4C22×D4×C13911yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—42no—
728C22—42no—
729C22—41no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22#453×C13912yes—
740C22C2×#120×C13911yescharacteristic
741C22#576×C13911yescharacteristic
742C22#577×C13911yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—41no—
749C4—42no—
750C4—41no—
751C4—42no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—81no—
760C2—82no—
761C2—161no—
762C2#3012×C13911yescharacteristic
763C2C2×#453×C13911yescharacteristic
764C2#3026×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC22×C4C24×C139
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C23×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3537×C139C2semidirect
2. #3192×C139C2semidirect
3. #3188×C139C2semidirect
4. #2656×C139C2semidirect
5. #1618×C139C2semidirect
6. #1613×C139C2semidirect
7. #1600×C139C2semidirect
8. #1595×C139C2semidirect
9. #1504×C139C2semidirect
10. C2×#327×C139C2semidirect
11. #1471×C139C2semidirect
28. C2×#121×C139C22semidirect
29. #484×C139C22semidirect
32. #481×C139C22semidirect
33. #481×C139C22semidirect
37. #450×C139C22semidirect
40. #447×C139C22semidirect
41. #447×C139C22semidirect
42. #407×C139C22semidirect
43. C2×C22⋊C8×C139C22semidirect
45. #399×C139C22semidirect
47. #392×C139C22semidirect
48. C2×#95×C139C22semidirect
49. #328×C139C22semidirect
50. #327×C139C22semidirect
51. #327×C139C22semidirect
52. #327×C139C22semidirect
53. #323×C139C22semidirect
54. #323×C139C22semidirect
55. C2×#41×C139D4semidirect
64. C22×D4×C139D4semidirect
84. C22⋊Q8×C139D4semidirect
105. #121×C139D4semidirect
106. #121×C139D4semidirect
123. #117×C139D4semidirect
126. C2×C4⋊C4×C139D4semidirect
382. #18418C139direct (N × H)
383. C139#18418direct (N × H)
384. #3537C2×C139semidirect
385. #3192C2×C139semidirect
386. #3188C2×C139semidirect
387. #2656C2×C139semidirect
388. #1618C2×C139semidirect
389. #1613C2×C139semidirect
390. #1600C2×C139semidirect
391. #1595C2×C139semidirect
392. #1504C2×C139semidirect
393. C2×#327C2×C139semidirect
394. #1471C2×C139semidirect
411. C2×#121C22×C139semidirect
412. #484C22×C139semidirect
415. #481C22×C139semidirect
416. #481C22×C139semidirect
420. #450C22×C139semidirect
423. #447C22×C139semidirect
424. #447C22×C139semidirect
425. #407C22×C139semidirect
426. C2×C22⋊C8C22×C139semidirect
428. #399C22×C139semidirect
430. #392C22×C139semidirect
431. C2×#95C22×C139semidirect
432. #328C22×C139semidirect
433. #327C22×C139semidirect
434. #327C22×C139semidirect
435. #327C22×C139semidirect
436. #323C22×C139semidirect
437. #323C22×C139semidirect
438. C2×#41D4×C139semidirect
447. C22×D4D4×C139semidirect
467. C22⋊Q8D4×C139semidirect
488. #121D4×C139semidirect
489. #121D4×C139semidirect
506. #117D4×C139semidirect
509. C2×C4⋊C4D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3537×C1392
#3192×C1392
#3188×C1392
#2656×C1392
#1618×C1392
#1613×C1392
#1600×C1392
#1595×C1392
#1504×C1392
C2×#327×C1392
#1471×C1392
#18418139