Finite Group Databasebeta

← C139×#24935 #48019531

Subgroups — C139×#24935 #48019531

Order 35584.

834 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#2487×C139C211yesmaximal, characteristic
2D4×C4⋊C4×C139C211yesmaximal, characteristic
3#2099×C139C211yesmaximal, characteristic, complemented
4#2084×C139C211yesmaximal, characteristic, complemented
5#2077×C139C211yesmaximal, characteristic, complemented
6#2077×C139C211yesmaximal, characteristic, complemented
7#1920×C139C211yesmaximal, characteristic, complemented
8#1920×C139C211yesmaximal, characteristic, complemented
9#1869×C139C211yesmaximal, characteristic
10#1853×C139C211yesmaximal, characteristic, complemented
11#1853×C139C211yesmaximal, characteristic, complemented
12#1824×C139C211yesmaximal, characteristic, complemented
13#1823×C139C211yesmaximal, characteristic, complemented
14#1807×C139C211yesmaximal, characteristic, complemented
15C2×#340×C139C211yesmaximal, characteristic, complemented
16C23×C8×C139C2211yescharacteristic
17C2×C4×D4×C139—21no—
18C2×C4×D4×C139C2211yescharacteristic
19C22×C4⋊C4×C139C2211yescharacteristic
20C22×C4⋊C4×C139C2211yescharacteristic
21C22×C4⋊C4×C139C2211yescharacteristic
22C2×#106×C139C2211yescharacteristic
23C2×#106×C139C2211yescharacteristic
24C2×#106×C139C2211yescharacteristic
25C2×#106×C139C2211yescharacteristic
26C2×C22⋊C8×C139C2211yescharacteristic
27C2×C22⋊C8×C139C2211yescharacteristic
28C2×C22⋊C8×C139C2211yescharacteristic
29#400×C139—21no—
30#399×C139—21no—
31#389×C139—21no—
32#389×C139C2211yescharacteristic
33#389×C139C2211yescharacteristic
34#386×C139—21no—
35#385×C139—21no—
36#385×C139—21no—
37#385×C139—21no—
38#384×C139C2211yescharacteristic
39#380×C139C2211yescharacteristic
40#380×C139C2211yescharacteristic
41#380×C139C2211yescharacteristic
42#380×C139C2211yescharacteristic
43#380×C139C2211yescharacteristic
44C4×C4⋊C4×C139C2211yescharacteristic
45#340×C139C2211yescharacteristic
46#340×C139C2211yescharacteristic
47#340×C139C2211yescharacteristic
48#340×C139C2211yescharacteristic
49#340×C139C2211yescharacteristic
50#340×C139C2211yescharacteristic
51#340×C139C2211yescharacteristic
52#340×C139C2211yescharacteristic
53#340×C139C2211yescharacteristic
54#340×C139C2211yescharacteristic
55#340×C139C2211yescharacteristic
56#340×C139C2211yescharacteristic
57#336×C139C2211yescharacteristic
58#336×C139C2211yescharacteristic
59C22×D4×C139D411yescharacteristic
60C23×C4×C139—21no—
61C23×C4×C139—21no—
62C23×C4×C139—21no—
63C23×C4×C139C2311yescharacteristic
64C23×C4×C139C2311yescharacteristic
65C22×C8×C139—22no—
66C22×C8×C139—22no—
67C22×C8×C139—41no—
68C22×C8×C139C2311yescharacteristic
69C22×C8×C139C2311yescharacteristic
70C22×C8×C139C2311yescharacteristic
71C22×C8×C139C2311yescharacteristic
72C4×D4×C139—22no—
73C4×D4×C139—22no—
74C4×D4×C139—44no—
75C2×C4⋊C4×C139—22no—
76C2×C4⋊C4×C139—22no—
77C2×C4⋊C4×C139—22no—
78C2×C4⋊C4×C139—22no—
79C2×C4⋊C4×C139—21no—
80C2×C4⋊C4×C139—21no—
81C2×C4⋊C4×C139—21no—
82C2×C4⋊C4×C139—21no—
83C2×C4⋊C4×C139—21no—
84C2×C4⋊C4×C139—21no—
85C2×C4⋊C4×C139—21no—
86C2×C4⋊C4×C139—41no—
87C2×C4⋊C4×C139—41no—
88C2×C4⋊C4×C139D411yescharacteristic
89C2×C4⋊C4×C139C2311yescharacteristic
90C2×C4⋊C4×C139C2311yescharacteristic
91C2×C4⋊C4×C139C2311yescharacteristic
92C2×C4⋊C4×C139C2311yescharacteristic
93C2×C4⋊C4×C139C2311yescharacteristic
94C2×C4⋊C4×C139C2311yescharacteristic
95C2×C4⋊C4×C139C2311yescharacteristic
96C2×C4⋊C4×C139C2311yescharacteristic
97C2×C22⋊C4×C139—21no—
98C2×C22⋊C4×C139—21no—
99C2×C22⋊C4×C139—21no—
100C2×C22⋊C4×C139—21no—
101C2×C22⋊C4×C139—21no—
102C2×C22⋊C4×C139D411yescharacteristic
103C2×C22⋊C4×C139D411yescharacteristic
104C2×C42×C139—21no—
105C2×C42×C139C2311yescharacteristic
106#106×C139—22no—
107#106×C139—22no—
108#106×C139—41no—
109#106×C139—41no—
110C22⋊C8×C139—22no—
111C22⋊C8×C139—22no—
112C22⋊C8×C139—41no—
113#95×C139—21no—
114#95×C139—21no—
115#95×C139—21no—
116#95×C139—21no—
117#95×C139—21no—
118#95×C139—21no—
119#95×C139—21no—
120#95×C139—21no—
121C24×C139C2×D411yescharacteristic
122C24×C139C2×D411yescharacteristic
123C2×D4×C139—22no—
124C2×D4×C139—22no—
125C2×D4×C139SD1614yes—
126C22×C4×C139—21no—
127C22×C4×C139—21no—
128C22×C4×C139—21no—
129C22×C4×C139—21no—
130C22×C4×C139—21no—
131C22×C4×C139—21no—
132C22×C4×C139—21no—
133C22×C4×C139—21no—
134C22×C4×C139—21no—
135C22×C4×C139—21no—
136C22×C4×C139—21no—
137C22×C4×C139—21no—
138C22×C4×C139—21no—
139C22×C4×C139—21no—
140C22×C4×C139—21no—
141C22×C4×C139—21no—
142C22×C4×C139—21no—
143C22×C4×C139—21no—
144C22×C4×C139—42no—
145C22×C4×C139—42no—
146C22×C4×C139—42no—
147C22×C4×C139—42no—
148C22×C4×C139—42no—
149C22×C4×C139—81no—
150C22×C4×C139—81no—
151C22×C4×C139—81no—
152C22×C4×C139—81no—
153C22×C4×C139C2×D411yescharacteristic
154C22×C4×C139C2×D411yescharacteristic
155C22×C4×C139C2×D411yescharacteristic
156C22×C4×C139C2×D411yescharacteristic
157C22×C4×C139#4112yes—
158C22×C4×C139#4112yes—
159C22×C4×C139C2411yescharacteristic
160C2×C8×C139—21no—
161C2×C8×C139—21no—
162C2×C8×C139—21no—
163C2×C8×C139—21no—
164C2×C8×C139—21no—
165C2×C8×C139—21no—
166C2×C8×C139—21no—
167C2×C8×C139—21no—
168C2×C8×C139—21no—
169C2×C8×C139—21no—
170C2×C8×C139—21no—
171C2×C8×C139—44no—
172C2×C8×C139#4112yes—
173C4⋊C4×C139—22no—
174C4⋊C4×C139—21no—
175C4⋊C4×C139—21no—
176C4⋊C4×C139—21no—
177C4⋊C4×C139—21no—
178C4⋊C4×C139—21no—
179C4⋊C4×C139—21no—
180C4⋊C4×C139—21no—
181C4⋊C4×C139—21no—
182C4⋊C4×C139—21no—
183C4⋊C4×C139—21no—
184C4⋊C4×C139—21no—
185C4⋊C4×C139—21no—
186C4⋊C4×C139—21no—
187C4⋊C4×C139—21no—
188C4⋊C4×C139—21no—
189C4⋊C4×C139—42no—
190C4⋊C4×C139—42no—
191C4⋊C4×C139—42no—
192C4⋊C4×C139—42no—
193C4⋊C4×C139—81no—
194C4⋊C4×C139—81no—
195C4⋊C4×C139—81no—
196C4⋊C4×C139#4112yes—
197C22⋊C4×C139—22no—
198C22⋊C4×C139—22no—
199C22⋊C4×C139—42no—
200C22⋊C4×C139—42no—
201C22⋊C4×C139—42no—
202C22⋊C4×C139—81no—
203C22⋊C4×C139—81no—
204C42×C139—21no—
205C42×C139—21no—
206C42×C139—42no—
207C23×C139—21no—
208C23×C139—21no—
209C23×C139—21no—
210C23×C139—21no—
211C23×C139—21no—
212C23×C139—21no—
213C23×C139—21no—
214C23×C139—21no—
215C23×C139—21no—
216C23×C139—21no—
217C23×C139#12312yes—
218C23×C139C2×SD1612yes—
219C23×C139C2×SD1612yes—
220C23×C139#13712yes—
221C23×C139C22×D411yescharacteristic
222D4×C139—28no—
223C2×C4×C139—21no—
224C2×C4×C139—21no—
225C2×C4×C139—21no—
226C2×C4×C139—21no—
227C2×C4×C139—22no—
228C2×C4×C139—22no—
229C2×C4×C139—22no—
230C2×C4×C139—22no—
231C2×C4×C139—21no—
232C2×C4×C139—21no—
233C2×C4×C139—22no—
234C2×C4×C139—21no—
235C2×C4×C139—21no—
236C2×C4×C139—21no—
237C2×C4×C139—21no—
238C2×C4×C139—41no—
239C2×C4×C139—41no—
240C2×C4×C139—41no—
241C2×C4×C139—41no—
242C2×C4×C139—41no—
243C2×C4×C139—41no—
244C2×C4×C139—41no—
245C2×C4×C139—41no—
246C2×C4×C139—41no—
247C2×C4×C139—41no—
248C2×C4×C139—41no—
249C2×C4×C139—41no—
250C2×C4×C139—41no—
251C2×C4×C139—41no—
252C2×C4×C139—41no—
253C2×C4×C139—41no—
254C2×C4×C139—41no—
255C2×C4×C139—41no—
256C2×C4×C139—41no—
257C2×C4×C139—41no—
258C2×C4×C139—41no—
259C2×C4×C139—41no—
260C2×C4×C139—41no—
261C2×C4×C139—41no—
262C2×C4×C139—41no—
263C2×C4×C139—41no—
264C2×C4×C139—41no—
265C2×C4×C139—84no—
266C2×C4×C139—84no—
267C2×C4×C139—84no—
268C2×C4×C139#12312yes—
269C2×C4×C139C2×SD1612yes—
270C2×C4×C139C2×#4111yescharacteristic
271C2×C4×C139C2×#4111yescharacteristic
272C2×C4×C139C2×#4111yescharacteristic
273C2×C4×C139C2×#4111yescharacteristic
274C2×C4×C139H(5,𝔽2)11yescharacteristic
275C2×C4×C1392−1+411yescharacteristic
276C8×C139—22no—
277C8×C139—41no—
278C8×C139—41no—
279C8×C139—41no—
280C22×C139—22no—
281C22×C139—22no—
282C22×C139—22no—
283C22×C139—22no—
284C22×C139—22no—
285C22×C139—22no—
286C22×C139—22no—
287C22×C139—22no—
288C22×C139—22no—
289C22×C139—41no—
290C22×C139—41no—
291C22×C139—41no—
292C22×C139—41no—
293C22×C139#48314yes—
294C22×C139C2×#12311yescharacteristic
295C22×C139#54611yescharacteristic
296C22×C139#54711yescharacteristic
297C22×C139C22×SD1611yescharacteristic
298C22×C139C2×#13711yescharacteristic
299C22×C139#57611yescharacteristic
300C22×C139#57711yescharacteristic
301C4×C139—22no—
302C4×C139—22no—
303C4×C139—41no—
304C4×C139—41no—
305C4×C139—42no—
306C4×C139—81no—
307C4×C139—81no—
308C4×C139—81no—
309C4×C139—81no—
310C4×C139—81no—
311C4×C139—81no—
312C4×C139—81no—
313C4×C139#52911yescharacteristic
314C4×C139#53911yescharacteristic
315C4×C139#55111yescharacteristic
316C4×C139#55211yescharacteristic
317C2×C139—24no—
318C2×C139—42no—
319C2×C139#241911yescharacteristic
320C2×C139C2×#48311yescharacteristic
321C2×C139#309611yescharacteristic
322C2×C139#329511yescharacteristic
323C2×C139#332011yescharacteristic
324C2×C139#333511yescharacteristic
325C2×C139#334611yescharacteristic
326#24935C13911yesmaximal, characteristic, direct product factor, Sylow
327C139#2493511yescharacteristic, direct product factor, Sylow
328#2487C2×C13911yescharacteristic
329D4×C4⋊C4C2×C13911yescharacteristic
330#2099C2×C13911yescharacteristic, complemented
331#2084C2×C13911yescharacteristic, complemented
332#2077C2×C13911yescharacteristic, complemented
333#2077C2×C13911yescharacteristic, complemented
334#1920C2×C13911yescharacteristic, complemented
335#1920C2×C13911yescharacteristic, complemented
336#1869C2×C13911yescharacteristic
337#1853C2×C13911yescharacteristic, complemented
338#1853C2×C13911yescharacteristic, complemented
339#1824C2×C13911yescharacteristic, complemented
340#1823C2×C13911yescharacteristic, complemented
341#1807C2×C13911yescharacteristic, complemented
342C2×#340C2×C13911yescharacteristic, complemented
343C23×C8C22×C13911yescharacteristic
344C2×C4×D4—21no—
345C2×C4×D4C22×C13911yescharacteristic
346C22×C4⋊C4C22×C13911yescharacteristic
347C22×C4⋊C4C22×C13911yescharacteristic
348C22×C4⋊C4C22×C13911yescharacteristic
349C2×#106C22×C13911yescharacteristic
350C2×#106C22×C13911yescharacteristic
351C2×#106C22×C13911yescharacteristic
352C2×#106C22×C13911yescharacteristic
353C2×C22⋊C8C22×C13911yescharacteristic
354C2×C22⋊C8C22×C13911yescharacteristic
355C2×C22⋊C8C22×C13911yescharacteristic
356#400—21no—
357#399—21no—
358#389—21no—
359#389C22×C13911yescharacteristic
360#389C22×C13911yescharacteristic
361#386—21no—
362#385—21no—
363#385—21no—
364#385—21no—
365#384C22×C13911yescharacteristic
366#380C22×C13911yescharacteristic
367#380C22×C13911yescharacteristic
368#380C22×C13911yescharacteristic
369#380C22×C13911yescharacteristic
370#380C22×C13911yescharacteristic
371C4×C4⋊C4C22×C13911yescharacteristic
372#340C22×C13911yescharacteristic
373#340C22×C13911yescharacteristic
374#340C22×C13911yescharacteristic
375#340C22×C13911yescharacteristic
376#340C22×C13911yescharacteristic
377#340C22×C13911yescharacteristic
378#340C22×C13911yescharacteristic
379#340C22×C13911yescharacteristic
380#340C22×C13911yescharacteristic
381#340C22×C13911yescharacteristic
382#340C22×C13911yescharacteristic
383#340C22×C13911yescharacteristic
384#336C22×C13911yescharacteristic
385#336C22×C13911yescharacteristic
386C22×D4D4×C13911yescharacteristic
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4C23×C13911yescharacteristic
391C23×C4C23×C13911yescharacteristic
392C22×C8—22no—
393C22×C8—22no—
394C22×C8—41no—
395C22×C8C23×C13911yescharacteristic
396C22×C8C23×C13911yescharacteristic
397C22×C8C23×C13911yescharacteristic
398C22×C8C23×C13911yescharacteristic
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—44no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—41no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4D4×C13911yescharacteristic
416C2×C4⋊C4C23×C13911yescharacteristic
417C2×C4⋊C4C23×C13911yescharacteristic
418C2×C4⋊C4C23×C13911yescharacteristic
419C2×C4⋊C4C23×C13911yescharacteristic
420C2×C4⋊C4C23×C13911yescharacteristic
421C2×C4⋊C4C23×C13911yescharacteristic
422C2×C4⋊C4C23×C13911yescharacteristic
423C2×C4⋊C4C23×C13911yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4D4×C13911yescharacteristic
430C2×C22⋊C4D4×C13911yescharacteristic
431C2×C42—21no—
432C2×C42C23×C13911yescharacteristic
433#106—22no—
434#106—22no—
435#106—41no—
436#106—41no—
437C22⋊C8—22no—
438C22⋊C8—22no—
439C22⋊C8—41no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448C24C2×D4×C13911yescharacteristic
449C24C2×D4×C13911yescharacteristic
450C2×D4—22no—
451C2×D4—22no—
452C2×D4SD16×C13914yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4C2×D4×C13911yescharacteristic
481C22×C4C2×D4×C13911yescharacteristic
482C22×C4C2×D4×C13911yescharacteristic
483C22×C4C2×D4×C13911yescharacteristic
484C22×C4#41×C13912yes—
485C22×C4#41×C13912yes—
486C22×C4C24×C13911yescharacteristic
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—44no—
499C2×C8#41×C13912yes—
500C4⋊C4—22no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4#41×C13912yes—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—42no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23#123×C13912yes—
545C23C2×SD16×C13912yes—
546C23C2×SD16×C13912yes—
547C23#137×C13912yes—
548C23C22×D4×C13911yescharacteristic
549D4—28no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—84no—
593C2×C4—84no—
594C2×C4—84no—
595C2×C4#123×C13912yes—
596C2×C4C2×SD16×C13912yes—
597C2×C4C2×#41×C13911yescharacteristic
598C2×C4C2×#41×C13911yescharacteristic
599C2×C4C2×#41×C13911yescharacteristic
600C2×C4C2×#41×C13911yescharacteristic
601C2×C4H(5,𝔽2)×C13911yescharacteristic
602C2×C42−1+4×C13911yescharacteristic
603C8—22no—
604C8—41no—
605C8—41no—
606C8—41no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22#483×C13914yes—
621C22C2×#123×C13911yescharacteristic
622C22#546×C13911yescharacteristic
623C22#547×C13911yescharacteristic
624C22C22×SD16×C13911yescharacteristic
625C22C2×#137×C13911yescharacteristic
626C22#576×C13911yescharacteristic
627C22#577×C13911yescharacteristic
628C4—22no—
629C4—22no—
630C4—42no—
631C4—41no—
632C4—41no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4#529×C13911yescharacteristic
641C4#539×C13911yescharacteristic
642C4#551×C13911yescharacteristic
643C4#552×C13911yescharacteristic
644C2—24no—
645C2—42no—
646C2#2419×C13911yescharacteristic
647C2C2×#483×C13911yescharacteristic
648C2#3096×C13911yescharacteristic
649C2#3295×C13911yescharacteristic
650C2#3320×C13911yescharacteristic
651C2#3335×C13911yescharacteristic
652C2#3346×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radicalC22×D4×C139D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C2×C4×D4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
3. #2099×C139C2semidirect
4. #2084×C139C2semidirect
5. #2077×C139C2semidirect
6. #2077×C139C2semidirect
7. #1920×C139C2semidirect
8. #1920×C139C2semidirect
10. #1853×C139C2semidirect
11. #1853×C139C2semidirect
12. #1824×C139C2semidirect
13. #1823×C139C2semidirect
14. #1807×C139C2semidirect
15. C2×#340×C139C2semidirect
326. #24935C139direct (N × H)
327. C139#24935direct (N × H)
330. #2099C2×C139semidirect
331. #2084C2×C139semidirect
332. #2077C2×C139semidirect
333. #2077C2×C139semidirect
334. #1920C2×C139semidirect
335. #1920C2×C139semidirect
337. #1853C2×C139semidirect
338. #1853C2×C139semidirect
339. #1824C2×C139semidirect
340. #1823C2×C139semidirect
341. #1807C2×C139semidirect
342. C2×#340C2×C139semidirect

Maximal subgroups

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

subgroupindex
#2487×C1392
D4×C4⋊C4×C1392
#2099×C1392
#2084×C1392
#2077×C1392
#1920×C1392
#1869×C1392
#1853×C1392
#1824×C1392
#1823×C1392
#1807×C1392
C2×#340×C1392
#24935139