Finite Group Databasebeta

← C139×#18254 #48012850

Subgroups — C139×#18254 #48012850

Order 35584.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C139C211yesmaximal, characteristic, complemented
2#3003×C139C211yesmaximal, characteristic, complemented
3C2×#447×C139C211yesmaximal, characteristic, complemented
4#2433×C139C211yesmaximal, characteristic, complemented
5#1600×C139C214yesmaximal, complemented
6#1595×C139C214yesmaximal, complemented
7#1507×C139C211yesmaximal, characteristic, complemented
8#1501×C139C211yesmaximal, characteristic, complemented
9#1471×C139C211yesmaximal, characteristic, complemented
10C23×D4×C139C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C139—21no—
12C22×D8×C139—21no—
13#560×C139—22no—
14#553×C139—21no—
15#553×C139—21no—
16D42×C139—22no—
17D42×C139—21no—
18D42×C139—21no—
19#540×C139—21no—
20#538×C139—21no—
21#538×C139C2212yescomplemented
22#535×C139—21no—
23#534×C139—21no—
24#534×C139C2212yescomplemented
25C2×#127×C139—21no—
26#525×C139C2211yescharacteristic
27C2×#121×C139C2211yescharacteristic
28C2×#121×C139C2211yescharacteristic
29C2×#120×C139—22no—
30#450×C139—21no—
31#450×C139C2212yescomplemented
32#447×C139—22no—
33#447×C139—21no—
34#447×C139C2212yescomplemented
35#447×C139C2214yescomplemented
36#418×C139—21no—
37C2×#102×C139—21no—
38#407×C139C2211yescharacteristic, complemented
39C2×C22⋊C8×C139C2211yescharacteristic, complemented
40#392×C139C2214yescomplemented
41#390×C139—21no—
42C4×C22⋊C4×C139C2211yescharacteristic, complemented
43#328×C139C2212yescomplemented
44#327×C139C2212yescomplemented
45#327×C139C2214yescomplemented
46#323×C139C2214yescomplemented
47C25×C139—21no—
48C2×#41×C139D411yescharacteristic, complemented
49C22×D4×C139—22no—
50C22×D4×C139—21no—
51C22×D4×C139—21no—
52C22×D4×C139—22no—
53C22×D4×C139—24no—
54C22×D4×C139—21no—
55C22×D4×C139—21no—
56C22×D4×C139—21no—
57C22×D4×C139—21no—
58C22×D4×C139—21no—
59C22×D4×C139—44no—
60C22×D4×C139D412yes—
61C22×D4×C139D411yescharacteristic
62C22×D4×C139D411yescharacteristic, complemented
63C22×D4×C139C2312yes—
64C23×C4×C139C2311yescharacteristic
65AGL(1,ℤ/8)×C139—44no—
66C2×SD16×C139—22no—
67C2×D8×C139—24no—
68C2×D8×C139—22no—
69C2×D8×C139—44no—
70C2×M16×C139—21no—
71C22×C8×C139—21no—
72#127×C139—22no—
73#127×C139—21no—
74#127×C139—44no—
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×C139D412yescomplemented
101#121×C139D411yescharacteristic, complemented
102#121×C139C2312yes—
103#121×C139C2311yescharacteristic
104#120×C139—22no—
105#120×C139—22no—
106#120×C139—22no—
107#120×C139—21no—
108#120×C139—22no—
109#120×C139—22no—
110#120×C139—22no—
111#120×C139—48no—
112C4×D4×C139—22no—
113C4×D4×C139—21no—
114C4×D4×C139—21no—
115C4×D4×C139—21no—
116C4×D4×C139—21no—
117C4×D4×C139—22no—
118#117×C139—21no—
119#117×C139D411yescharacteristic, complemented
120C2×C4⋊C4×C139D411yescharacteristic
121C2×C4⋊C4×C139D411yescharacteristic, complemented
122C2×C22⋊C4×C139—21no—
123C2×C22⋊C4×C139—21no—
124C2×C22⋊C4×C139—24no—
125C2×C22⋊C4×C139C2312yes—
126C2×C42×C139—21no—
127#102×C139—24no—
128#102×C139—22no—
129#102×C139—22no—
130C22⋊C8×C139—21no—
131C22⋊C8×C139—21no—
132C22⋊C8×C139C2312yes—
133C22⋊C8×C139C2312yes—
134#95×C139C2312yes—
135C24×C139—22no—
136C24×C139—22no—
137C24×C139—21no—
138C24×C139—44no—
139C24×C139—44no—
140C24×C139—41no—
141C24×C139—41no—
142C24×C139—82no—
143C24×C139C2×D411yescharacteristic
144C24×C139C2×D412yes—
145#41×C139—42no—
146C2×Q8×C139C2×D411yescharacteristic
147C2×D4×C139—24no—
148C2×D4×C139—24no—
149C2×D4×C139—24no—
150C2×D4×C139—22no—
151C2×D4×C139—21no—
152C2×D4×C139—21no—
153C2×D4×C139—22no—
154C2×D4×C139—22no—
155C2×D4×C139—22no—
156C2×D4×C139—22no—
157C2×D4×C139—22no—
158C2×D4×C139—22no—
159C2×D4×C139—21no—
160C2×D4×C139—22no—
161C2×D4×C139—22no—
162C2×D4×C139—21no—
163C2×D4×C139—21no—
164C2×D4×C139—21no—
165C2×D4×C139—22no—
166C2×D4×C139—22no—
167C2×D4×C139—42no—
168C2×D4×C139—42no—
169C2×D4×C139—42no—
170C2×D4×C139—42no—
171C2×D4×C139—42no—
172C2×D4×C139—48no—
173C2×D4×C139—44no—
174C2×D4×C139—44no—
175C2×D4×C139—44no—
176C2×D4×C139—44no—
177C2×D4×C139—48no—
178C2×D4×C139—41no—
179C2×D4×C139—41no—
180C2×D4×C139—82no—
181C2×D4×C139—84no—
182C2×D4×C139—82no—
183C2×D4×C139—84no—
184C2×D4×C139—84no—
185C2×D4×C139C2×D411yescharacteristic
186C2×D4×C139C2×D412yes—
187C22×C4×C139—22no—
188C22×C4×C139—22no—
189C22×C4×C139—22no—
190C22×C4×C139—21no—
191C22×C4×C139—21no—
192C22×C4×C139—42no—
193C22×C4×C139C2×D411yescharacteristic
194C22×C4×C139C2×D411yescharacteristic
195C22×C4×C139C2×D411yescharacteristic
196C22×C4×C139C2×D412yes—
197C22×C4×C139C2×D411yescharacteristic
198C22×C4×C139C2×D411yescharacteristic
199C22×C4×C139C2411yescharacteristic
200SD16×C139—44no—
201D8×C139—48no—
202D8×C139—44no—
203M16×C139—42no—
204C2×C8×C139—22no—
205C2×C8×C139—22no—
206C2×C8×C139—42no—
207C4⋊C4×C139—22no—
208C4⋊C4×C139—22no—
209C4⋊C4×C139—21no—
210C4⋊C4×C139—21no—
211C4⋊C4×C139—21no—
212C4⋊C4×C139—21no—
213C4⋊C4×C139—21no—
214C4⋊C4×C139C2×D412yes—
215C4⋊C4×C139C2×D411yescharacteristic
216C4⋊C4×C139C2×D411yescharacteristic
217C22⋊C4×C139—24no—
218C22⋊C4×C139—22no—
219C22⋊C4×C139—22no—
220C22⋊C4×C139—22no—
221C22⋊C4×C139—22no—
222C22⋊C4×C139—22no—
223C22⋊C4×C139—21no—
224C22⋊C4×C139—21no—
225C22⋊C4×C139—21no—
226C22⋊C4×C139—22no—
227C22⋊C4×C139—21no—
228C22⋊C4×C139—22no—
229C22⋊C4×C139—22no—
230C22⋊C4×C139—22no—
231C22⋊C4×C139—21no—
232C22⋊C4×C139—48no—
233C42×C139—22no—
234C42×C139—21no—
235C42×C139—42no—
236C23×C139—22no—
237C23×C139—22no—
238C23×C139—24no—
239C23×C139—22no—
240C23×C139—22no—
241C23×C139—21no—
242C23×C139—24no—
243C23×C139—41no—
244C23×C139—44no—
245C23×C139—44no—
246C23×C139—44no—
247C23×C139—42no—
248C23×C139—42no—
249C23×C139—42no—
250C23×C139—42no—
251C23×C139—44no—
252C23×C139—42no—
253C23×C139—81no—
254C23×C139—81no—
255C23×C139—82no—
256C23×C139—82no—
257C23×C139—82no—
258C23×C139—82no—
259C23×C139—82no—
260C23×C139—82no—
261C23×C139—816no—
262C23×C139—82no—
263C23×C139#12011yescharacteristic
264C23×C139#12011yescharacteristic
265C23×C139C22×D411yescharacteristic
266Q8×C139—41no—
267D4×C139—24no—
268D4×C139—24no—
269D4×C139—42no—
270D4×C139—41no—
271D4×C139—42no—
272D4×C139—42no—
273D4×C139—44no—
274D4×C139—44no—
275D4×C139—42no—
276D4×C139—44no—
277D4×C139—42no—
278D4×C139—44no—
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—816no—
291C2×C4×C139—22no—
292C2×C4×C139—22no—
293C2×C4×C139—22no—
294C2×C4×C139—24no—
295C2×C4×C139—21no—
296C2×C4×C139—22no—
297C2×C4×C139—22no—
298C2×C4×C139—21no—
299C2×C4×C139—21no—
300C2×C4×C139—41no—
301C2×C4×C139—41no—
302C2×C4×C139—41no—
303C2×C4×C139—42no—
304C2×C4×C139—42no—
305C2×C4×C139—42no—
306C2×C4×C139—42no—
307C2×C4×C139—81no—
308C2×C4×C139—82no—
309C2×C4×C139—82no—
310C2×C4×C139#12011yescharacteristic
311C2×C4×C139#12011yescharacteristic
312C2×C4×C139C22×D411yescharacteristic
313C2×C4×C139C22×D411yescharacteristic
314C8×C139—42no—
315C8×C139—42no—
316C22×C139—21no—
317C22×C139—21no—
318C22×C139—21no—
319C22×C139—21no—
320C22×C139—21no—
321C22×C139—21no—
322C22×C139—21no—
323C22×C139—44no—
324C22×C139—48no—
325C22×C139—42no—
326C22×C139—42no—
327C22×C139—41no—
328C22×C139—42no—
329C22×C139—42no—
330C22×C139—41no—
331C22×C139—41no—
332C22×C139—44no—
333C22×C139—42no—
334C22×C139—42no—
335C22×C139—84no—
336C22×C139—84no—
337C22×C139—88no—
338C22×C139—88no—
339C22×C139—82no—
340C22×C139—82no—
341C22×C139—162no—
342C22×C139—164no—
343C22×C139#45312yes—
344C22×C139C2×#12011yescharacteristic
345C22×C139#57612yes—
346C4×C139—21no—
347C4×C139—21no—
348C4×C139—21no—
349C4×C139—44no—
350C4×C139—42no—
351C4×C139—41no—
352C4×C139—42no—
353C4×C139—41no—
354C4×C139—41no—
355C4×C139B(4,𝔽2)12yes—
356C2×C139—22no—
357C2×C139—22no—
358C2×C139—41no—
359C2×C139—84no—
360C2×C139—82no—
361C2×C139—82no—
362C2×C139—81no—
363C2×C139#300811yescharacteristic
364C2×C139C2×#45311yescharacteristic
365C2×C139C2×B(4,𝔽2)11yescharacteristic
366#18254C13911yesmaximal, characteristic, direct product factor, Sylow
367C139#1825411yescharacteristic, direct product factor, Sylow
368#3537C2×C13911yescharacteristic, complemented
369#3003C2×C13911yescharacteristic, complemented
370C2×#447C2×C13911yescharacteristic, complemented
371#2433C2×C13911yescharacteristic, complemented
372#1600C2×C13914yescomplemented
373#1595C2×C13914yescomplemented
374#1507C2×C13911yescharacteristic, complemented
375#1501C2×C13911yescharacteristic, complemented
376#1471C2×C13911yescharacteristic, complemented
377C23×D4C22×C13911yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C13912yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C13912yescomplemented
392C2×#127—21no—
393#525C22×C13911yescharacteristic
394C2×#121C22×C13911yescharacteristic
395C2×#121C22×C13911yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C13912yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C13912yescomplemented
402#447C22×C13914yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C13911yescharacteristic, complemented
406C2×C22⋊C8C22×C13911yescharacteristic, complemented
407#392C22×C13914yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C13911yescharacteristic, complemented
410#328C22×C13912yescomplemented
411#327C22×C13912yescomplemented
412#327C22×C13914yescomplemented
413#323C22×C13914yescomplemented
414C25—21no—
415C2×#41D4×C13911yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C13912yes—
428C22×D4D4×C13911yescharacteristic
429C22×D4D4×C13911yescharacteristic, complemented
430C22×D4C23×C13912yes—
431C23×C4C23×C13911yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C13911yescharacteristic, complemented
452C22⋊Q8C23×C13911yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C13912yescomplemented
468#121D4×C13911yescharacteristic, complemented
469#121C23×C13912yes—
470#121C23×C13911yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C13911yescharacteristic, complemented
487C2×C4⋊C4D4×C13911yescharacteristic
488C2×C4⋊C4D4×C13911yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C13912yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C13912yes—
500C22⋊C8C23×C13912yes—
501#95C23×C13912yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C13911yescharacteristic
511C24C2×D4×C13912yes—
512#41—42no—
513C2×Q8C2×D4×C13911yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C13911yescharacteristic
553C2×D4C2×D4×C13912yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C13911yescharacteristic
561C22×C4C2×D4×C13911yescharacteristic
562C22×C4C2×D4×C13911yescharacteristic
563C22×C4C2×D4×C13912yes—
564C22×C4C2×D4×C13911yescharacteristic
565C22×C4C2×D4×C13911yescharacteristic
566C22×C4C24×C13911yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C13912yes—
582C4⋊C4C2×D4×C13911yescharacteristic
583C4⋊C4C2×D4×C13911yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—21no—
608C23—22no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C13911yescharacteristic
631C23#120×C13911yescharacteristic
632C23C22×D4×C13911yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C13911yescharacteristic
678C2×C4#120×C13911yescharacteristic
679C2×C4C22×D4×C13911yescharacteristic
680C2×C4C22×D4×C13911yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—41no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—41no—
699C22—42no—
700C22—42no—
701C22—41no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C13912yes—
711C22C2×#120×C13911yescharacteristic
712C22#576×C13912yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—41no—
718C4—42no—
719C4—41no—
720C4—42no—
721C4—41no—
722C4B(4,𝔽2)×C13912yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—81no—
729C2—82no—
730C2#3008×C13911yescharacteristic
731C2C2×#453×C13911yescharacteristic
732C2C2×B(4,𝔽2)×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. #3003×C139C2semidirect
3. C2×#447×C139C2semidirect
4. #2433×C139C2semidirect
5. #1600×C139C2semidirect
6. #1595×C139C2semidirect
7. #1507×C139C2semidirect
8. #1501×C139C2semidirect
9. #1471×C139C2semidirect
10. C23×D4×C139C22semidirect
21. #538×C139C22semidirect
24. #534×C139C22semidirect
31. #450×C139C22semidirect
34. #447×C139C22semidirect
35. #447×C139C22semidirect
38. #407×C139C22semidirect
39. C2×C22⋊C8×C139C22semidirect
40. #392×C139C22semidirect
42. C4×C22⋊C4×C139C22semidirect
43. #328×C139C22semidirect
44. #327×C139C22semidirect
45. #327×C139C22semidirect
46. #323×C139C22semidirect
48. C2×#41×C139D4semidirect
62. C22×D4×C139D4semidirect
84. C22⋊Q8×C139D4semidirect
100. #121×C139D4semidirect
101. #121×C139D4semidirect
119. #117×C139D4semidirect
121. C2×C4⋊C4×C139D4semidirect
366. #18254C139direct (N × H)
367. C139#18254direct (N × H)
368. #3537C2×C139semidirect
369. #3003C2×C139semidirect
370. C2×#447C2×C139semidirect
371. #2433C2×C139semidirect
372. #1600C2×C139semidirect
373. #1595C2×C139semidirect
374. #1507C2×C139semidirect
375. #1501C2×C139semidirect
376. #1471C2×C139semidirect
377. C23×D4C22×C139semidirect
388. #538C22×C139semidirect
391. #534C22×C139semidirect
398. #450C22×C139semidirect
401. #447C22×C139semidirect
402. #447C22×C139semidirect
405. #407C22×C139semidirect
406. C2×C22⋊C8C22×C139semidirect
407. #392C22×C139semidirect
409. C4×C22⋊C4C22×C139semidirect
410. #328C22×C139semidirect
411. #327C22×C139semidirect
412. #327C22×C139semidirect
413. #323C22×C139semidirect
415. C2×#41D4×C139semidirect
429. C22×D4D4×C139semidirect
451. C22⋊Q8D4×C139semidirect
467. #121D4×C139semidirect
468. #121D4×C139semidirect
486. #117D4×C139semidirect
488. 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
#3003×C1392
C2×#447×C1392
#2433×C1392
#1600×C1392
#1595×C1392
#1507×C1392
#1501×C1392
#1471×C1392
#18254139