Finite Group Databasebeta

← C139×#18450 #48013046

Subgroups — C139×#18450 #48013046

Order 35584.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C139C211yesmaximal, characteristic, complemented
2#3194×C139C211yesmaximal, characteristic, complemented
3#3186×C139C211yesmaximal, characteristic, complemented
4#2815×C139C211yesmaximal, characteristic, complemented
5#1612×C139C212yesmaximal, complemented
6#1607×C139C212yesmaximal, complemented
7#1600×C139C212yesmaximal, complemented
8#1595×C139C212yesmaximal, complemented
9#1516×C139C211yesmaximal, characteristic, complemented
10#1510×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×C139C2211yescharacteristic
26C2×#121×C139C2211yescharacteristic
27C2×#121×C139C2211yescharacteristic, complemented
28#483×C139C2211yescharacteristic, complemented
29#482×C139—21no—
30#480×C139—21no—
31#480×C139C2211yescharacteristic, complemented
32#480×C139C2212yescomplemented
33#469×C139—21no—
34#468×C139—21no—
35#466×C139—22no—
36#450×C139C2211yescharacteristic, complemented
37#449×C139—21no—
38#447×C139—21no—
39#447×C139C2211yescharacteristic, complemented
40#447×C139C2212yescomplemented
41#407×C139C2211yescharacteristic, complemented
42C2×C22⋊C8×C139C2211yescharacteristic, complemented
43#397×C139—21no—
44#397×C139C2212yescomplemented
45#392×C139—22no—
46#392×C139—21no—
47#392×C139C2212yescomplemented
48#381×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×C139C2311yescharacteristic
67C2×SD16×C139—21no—
68C2×D8×C139—22no—
69C2×D8×C139—21no—
70C2×M16×C139—21no—
71C22×C8×C139—21no—
72#127×C139—22no—
73#127×C139—21no—
74#126×C139—22no—
75#126×C139—22no—
76#125×C139—21no—
77#124×C139—22no—
78#123×C139—22no—
79#123×C139—21no—
80#123×C139—22no—
81#123×C139—22no—
82#123×C139—22no—
83C22⋊Q8×C139D411yescharacteristic, complemented
84C22⋊Q8×C139C2311yescharacteristic
85#121×C139—22no—
86#121×C139—21no—
87#121×C139—21no—
88#121×C139—22no—
89#121×C139—22no—
90#121×C139—22no—
91#121×C139—22no—
92#121×C139—21no—
93#121×C139—21no—
94#121×C139—21no—
95#121×C139—21no—
96#121×C139—21no—
97#121×C139—21no—
98#121×C139—22no—
99#121×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139D412yescomplemented
104#121×C139D411yescharacteristic, complemented
105#121×C139C2312yes—
106#121×C139C2311yescharacteristic
107#120×C139—22no—
108#120×C139—22no—
109#120×C139—22no—
110#120×C139—21no—
111#120×C139—22no—
112#120×C139—22no—
113#120×C139—22no—
114C4×D4×C139—22no—
115C4×D4×C139—21no—
116C4×D4×C139—21no—
117C4×D4×C139—21no—
118C4×D4×C139—21no—
119C4×D4×C139—22no—
120#117×C139—21no—
121#117×C139D411yescharacteristic, complemented
122C2×C4⋊C4×C139D411yescharacteristic
123C2×C4⋊C4×C139D411yescharacteristic, complemented
124C2×C4⋊C4×C139C2311yescharacteristic
125C2×C22⋊C4×C139—21no—
126C2×C22⋊C4×C139—21no—
127C2×C22⋊C4×C139—22no—
128C2×C22⋊C4×C139—21no—
129C2×C22⋊C4×C139—22no—
130C2×C22⋊C4×C139C2312yes—
131#107×C139—22no—
132#107×C139—21no—
133#106×C139—21no—
134#103×C139—21no—
135#102×C139—22no—
136#102×C139—21no—
137#102×C139—22no—
138#102×C139—21no—
139#102×C139—21no—
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142C22⋊C8×C139C2312yes—
143C22⋊C8×C139C2311yescharacteristic
144C22⋊C8×C139C2311yescharacteristic
145#95×C139—22no—
146#95×C139—21no—
147#95×C139C2312yes—
148C24×C139—22no—
149C24×C139—21no—
150C24×C139—21no—
151C24×C139C2×D412yes—
152C24×C139C2×D411yescharacteristic
153#41×C139—81no—
154C2×Q8×C139C2×D411yescharacteristic
155C2×D4×C139—22no—
156C2×D4×C139—21no—
157C2×D4×C139—21no—
158C2×D4×C139—22no—
159C2×D4×C139—22no—
160C2×D4×C139—22no—
161C2×D4×C139—22no—
162C2×D4×C139—22no—
163C2×D4×C139—22no—
164C2×D4×C139—21no—
165C2×D4×C139—22no—
166C2×D4×C139—22no—
167C2×D4×C139—21no—
168C2×D4×C139—21no—
169C2×D4×C139—21no—
170C2×D4×C139—21no—
171C2×D4×C139—21no—
172C2×D4×C139—41no—
173C2×D4×C139—41no—
174C2×D4×C139—81no—
175C2×D4×C139—81no—
176C2×D4×C139—82no—
177C2×D4×C139—81no—
178C2×D4×C139—82no—
179C2×D4×C139—82no—
180C2×D4×C139—82no—
181C2×D4×C139—82no—
182C2×D4×C139—82no—
183C2×D4×C139—82no—
184C2×D4×C139—82no—
185C2×D4×C139—82no—
186C2×D4×C139—84no—
187C2×D4×C139C2×D411yescharacteristic
188C2×D4×C139C2×D412yes—
189C22×C4×C139—22no—
190C22×C4×C139—22no—
191C22×C4×C139—21no—
192C22×C4×C139—21no—
193C22×C4×C139—22no—
194C22×C4×C139—21no—
195C22×C4×C139—81no—
196C22×C4×C139C2×D412yes—
197C22×C4×C139C2×D411yescharacteristic
198C22×C4×C139C2×D411yescharacteristic
199C22×C4×C139C2×D411yescharacteristic
200C22×C4×C139C2×D411yescharacteristic
201C22×C4×C139C2×D411yescharacteristic
202C22×C4×C139C2411yescharacteristic
203SD16×C139—81no—
204D8×C139—82no—
205D8×C139—81no—
206M16×C139—81no—
207C2×C8×C139—22no—
208C2×C8×C139—21no—
209C2×C8×C139—21no—
210C2×C8×C139—81no—
211C4⋊C4×C139—22no—
212C4⋊C4×C139—22no—
213C4⋊C4×C139—21no—
214C4⋊C4×C139—21no—
215C4⋊C4×C139—21no—
216C4⋊C4×C139—21no—
217C4⋊C4×C139—21no—
218C4⋊C4×C139—21no—
219C4⋊C4×C139—21no—
220C4⋊C4×C139C2×D411yescharacteristic
221C4⋊C4×C139C2×D412yes—
222C4⋊C4×C139C2×D411yescharacteristic
223C22⋊C4×C139—22no—
224C22⋊C4×C139—22no—
225C22⋊C4×C139—22no—
226C22⋊C4×C139—22no—
227C22⋊C4×C139—22no—
228C22⋊C4×C139—21no—
229C22⋊C4×C139—21no—
230C22⋊C4×C139—21no—
231C22⋊C4×C139—22no—
232C22⋊C4×C139—21no—
233C22⋊C4×C139—22no—
234C22⋊C4×C139—22no—
235C22⋊C4×C139—22no—
236C22⋊C4×C139—21no—
237C22⋊C4×C139—41no—
238C22⋊C4×C139—41no—
239C22⋊C4×C139—82no—
240C22⋊C4×C139—82no—
241C22⋊C4×C139—81no—
242C42×C139—22no—
243C42×C139—21no—
244C23×C139—22no—
245C23×C139—22no—
246C23×C139—22no—
247C23×C139—21no—
248C23×C139—22no—
249C23×C139—22no—
250C23×C139—41no—
251C23×C139—41no—
252C23×C139—42no—
253C23×C139—42no—
254C23×C139—42no—
255C23×C139—41no—
256C23×C139—41no—
257C23×C139—42no—
258C23×C139—41no—
259C23×C139—42no—
260C23×C139—81no—
261C23×C139—81no—
262C23×C139—82no—
263C23×C139—82no—
264C23×C139—82no—
265C23×C139#12011yescharacteristic
266C23×C139#12011yescharacteristic
267C23×C139C22×D411yescharacteristic
268Q8×C139—41no—
269D4×C139—42no—
270D4×C139—41no—
271D4×C139—42no—
272D4×C139—42no—
273D4×C139—42no—
274D4×C139—41no—
275D4×C139—41no—
276D4×C139—44no—
277D4×C139—42no—
278D4×C139—42no—
279D4×C139—42no—
280D4×C139—42no—
281D4×C139—81no—
282D4×C139—82no—
283D4×C139—82no—
284D4×C139—81no—
285D4×C139—82no—
286D4×C139—82no—
287D4×C139—82no—
288D4×C139—82no—
289D4×C139—82no—
290D4×C139—82no—
291D4×C139—82no—
292D4×C139—88no—
293C2×C4×C139—21no—
294C2×C4×C139—22no—
295C2×C4×C139—22no—
296C2×C4×C139—21no—
297C2×C4×C139—21no—
298C2×C4×C139—41no—
299C2×C4×C139—41no—
300C2×C4×C139—41no—
301C2×C4×C139—41no—
302C2×C4×C139—41no—
303C2×C4×C139—41no—
304C2×C4×C139—42no—
305C2×C4×C139—42no—
306C2×C4×C139—42no—
307C2×C4×C139—42no—
308C2×C4×C139—41no—
309C2×C4×C139—42no—
310C2×C4×C139—42no—
311C2×C4×C139—81no—
312C2×C4×C139—82no—
313C2×C4×C139—82no—
314C2×C4×C139#12011yescharacteristic
315C2×C4×C139#12011yescharacteristic
316C2×C4×C139C22×D411yescharacteristic
317C2×C4×C139C22×D411yescharacteristic
318C8×C139—42no—
319C8×C139—41no—
320C8×C139—41no—
321C22×C139—21no—
322C22×C139—21no—
323C22×C139—21no—
324C22×C139—21no—
325C22×C139—21no—
326C22×C139—21no—
327C22×C139—21no—
328C22×C139—21no—
329C22×C139—42no—
330C22×C139—42no—
331C22×C139—41no—
332C22×C139—42no—
333C22×C139—42no—
334C22×C139—41no—
335C22×C139—41no—
336C22×C139—42no—
337C22×C139—42no—
338C22×C139—82no—
339C22×C139—82no—
340C22×C139—82no—
341C22×C139—82no—
342C22×C139—82no—
343C22×C139—81no—
344C22×C139—81no—
345C22×C139—81no—
346C22×C139—162no—
347C22×C139—164no—
348C22×C139C2×#12011yescharacteristic
349C22×C139#57612yes—
350C4×C139—21no—
351C4×C139—21no—
352C4×C139—21no—
353C4×C139—21no—
354C4×C139—42no—
355C4×C139—41no—
356C4×C139—42no—
357C4×C139—41no—
358C4×C139—41no—
359C4×C139—82no—
360C4×C139—81no—
361C2×C139—22no—
362C2×C139—41no—
363C2×C139—41no—
364C2×C139—82no—
365C2×C139—82no—
366C2×C139—81no—
367C2×C139—161no—
368C2×C139#300811yescharacteristic
369C2×C139#301911yescharacteristic
370C2×C139#302611yescharacteristic
371#18450C13911yesmaximal, characteristic, direct product factor, Sylow
372C139#1845011yescharacteristic, direct product factor, Sylow
373#3537C2×C13911yescharacteristic, complemented
374#3194C2×C13911yescharacteristic, complemented
375#3186C2×C13911yescharacteristic, complemented
376#2815C2×C13911yescharacteristic, complemented
377#1612C2×C13912yescomplemented
378#1607C2×C13912yescomplemented
379#1600C2×C13912yescomplemented
380#1595C2×C13912yescomplemented
381#1516C2×C13911yescharacteristic, complemented
382#1510C2×C13911yescharacteristic, complemented
383#1471C2×C13911yescharacteristic, complemented
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C13912yes—
393#535—21no—
394#534—21no—
395#534C22×C13912yes—
396#525C22×C13911yescharacteristic
397C2×#121C22×C13911yescharacteristic
398C2×#121C22×C13911yescharacteristic
399C2×#121C22×C13911yescharacteristic, complemented
400#483C22×C13911yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C13911yescharacteristic, complemented
404#480C22×C13912yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C13911yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C13911yescharacteristic, complemented
412#447C22×C13912yescomplemented
413#407C22×C13911yescharacteristic, complemented
414C2×C22⋊C8C22×C13911yescharacteristic, complemented
415#397—21no—
416#397C22×C13912yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C13912yescomplemented
420#381C22×C13911yescharacteristic, complemented
421#328C22×C13912yescomplemented
422#327C22×C13912yescomplemented
423#327C22×C13912yescomplemented
424#327C22×C13912yescomplemented
425#323C22×C13912yescomplemented
426#323C22×C13912yescomplemented
427C2×#41D4×C13911yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C13912yes—
435C22×D4D4×C13911yescharacteristic
436C22×D4D4×C13911yescharacteristic, complemented
437C22×D4C23×C13911yescharacteristic
438C23×C4C23×C13911yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C13911yescharacteristic, complemented
456C22⋊Q8C23×C13911yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C13912yescomplemented
476#121D4×C13911yescharacteristic, complemented
477#121C23×C13912yes—
478#121C23×C13911yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C13911yescharacteristic, complemented
494C2×C4⋊C4D4×C13911yescharacteristic
495C2×C4⋊C4D4×C13911yescharacteristic, complemented
496C2×C4⋊C4C23×C13911yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C13912yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C13911yescharacteristic
515C22⋊C8C23×C13911yescharacteristic
516C22⋊C8C23×C13912yes—
517#95—21no—
518#95—22no—
519#95C23×C13912yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C13912yes—
524C24C2×D4×C13911yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C13911yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C13911yescharacteristic
560C2×D4C2×D4×C13912yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C13912yes—
569C22×C4C2×D4×C13911yescharacteristic
570C22×C4C2×D4×C13911yescharacteristic
571C22×C4C2×D4×C13911yescharacteristic
572C22×C4C2×D4×C13911yescharacteristic
573C22×C4C2×D4×C13911yescharacteristic
574C22×C4C24×C13911yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C13911yescharacteristic
593C4⋊C4C2×D4×C13912yes—
594C4⋊C4C2×D4×C13911yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—21no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—42no—
629C23—41no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C13911yescharacteristic
638C23#120×C13911yescharacteristic
639C23C22×D4×C13911yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C13911yescharacteristic
687C2×C4#120×C13911yescharacteristic
688C2×C4C22×D4×C13911yescharacteristic
689C2×C4C22×D4×C13911yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—42no—
708C22—42no—
709C22—41no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C13911yescharacteristic
721C22#576×C13912yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—41no—
727C4—42no—
728C4—41no—
729C4—42no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—81no—
738C2—82no—
739C2—161no—
740C2#3008×C13911yescharacteristic
741C2#3019×C13911yescharacteristic
742C2#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. #3194×C139C2semidirect
3. #3186×C139C2semidirect
4. #2815×C139C2semidirect
5. #1612×C139C2semidirect
6. #1607×C139C2semidirect
7. #1600×C139C2semidirect
8. #1595×C139C2semidirect
9. #1516×C139C2semidirect
10. #1510×C139C2semidirect
11. #1471×C139C2semidirect
27. C2×#121×C139C22semidirect
28. #483×C139C22semidirect
31. #480×C139C22semidirect
32. #480×C139C22semidirect
36. #450×C139C22semidirect
39. #447×C139C22semidirect
40. #447×C139C22semidirect
41. #407×C139C22semidirect
42. C2×C22⋊C8×C139C22semidirect
44. #397×C139C22semidirect
47. #392×C139C22semidirect
48. #381×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
83. C22⋊Q8×C139D4semidirect
103. #121×C139D4semidirect
104. #121×C139D4semidirect
121. #117×C139D4semidirect
123. C2×C4⋊C4×C139D4semidirect
371. #18450C139direct (N × H)
372. C139#18450direct (N × H)
373. #3537C2×C139semidirect
374. #3194C2×C139semidirect
375. #3186C2×C139semidirect
376. #2815C2×C139semidirect
377. #1612C2×C139semidirect
378. #1607C2×C139semidirect
379. #1600C2×C139semidirect
380. #1595C2×C139semidirect
381. #1516C2×C139semidirect
382. #1510C2×C139semidirect
383. #1471C2×C139semidirect
399. C2×#121C22×C139semidirect
400. #483C22×C139semidirect
403. #480C22×C139semidirect
404. #480C22×C139semidirect
408. #450C22×C139semidirect
411. #447C22×C139semidirect
412. #447C22×C139semidirect
413. #407C22×C139semidirect
414. C2×C22⋊C8C22×C139semidirect
416. #397C22×C139semidirect
419. #392C22×C139semidirect
420. #381C22×C139semidirect
421. #328C22×C139semidirect
422. #327C22×C139semidirect
423. #327C22×C139semidirect
424. #327C22×C139semidirect
425. #323C22×C139semidirect
426. #323C22×C139semidirect
427. C2×#41D4×C139semidirect
436. C22×D4D4×C139semidirect
455. C22⋊Q8D4×C139semidirect
475. #121D4×C139semidirect
476. #121D4×C139semidirect
493. #117D4×C139semidirect
495. 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
#3194×C1392
#3186×C1392
#2815×C1392
#1612×C1392
#1607×C1392
#1600×C1392
#1595×C1392
#1516×C1392
#1510×C1392
#1471×C1392
#18450139