Finite Group Databasebeta

← C139×#19772 #48014368

Subgroups — C139×#19772 #48014368

Order 35584.

710 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3330×C139C211yesmaximal, characteristic, complemented
2#3294×C139C211yesmaximal, characteristic, complemented
3#3294×C139C211yesmaximal, characteristic, complemented
4#3283×C139C211yesmaximal, characteristic, complemented
5#1720×C139C211yesmaximal, characteristic, complemented
6#1701×C139C211yesmaximal, characteristic, complemented
7#1681×C139C211yesmaximal, characteristic, complemented
8#1679×C139C211yesmaximal, characteristic, complemented
9#1669×C139C211yesmaximal, characteristic, complemented
10#1654×C139C211yesmaximal, characteristic, complemented
11#1654×C139C211yesmaximal, characteristic, complemented
12#1639×C139C211yesmaximal, characteristic, complemented
13#1625×C139C211yesmaximal, characteristic, complemented
14#1581×C139C211yesmaximal, characteristic, complemented
15#1580×C139C211yesmaximal, characteristic, complemented
16C2×#135×C139—21no—
17#547×C139C2211yescharacteristic
18#547×C139C2211yescharacteristic
19#547×C139C2211yescharacteristic, complemented
20D42×C139C2211yescharacteristic
21#498×C139C2211yescharacteristic, complemented
22#494×C139C2211yescharacteristic, complemented
23#487×C139C2211yescharacteristic, complemented
24#486×C139C2211yescharacteristic
25#486×C139C2211yescharacteristic
26#486×C139C2211yescharacteristic
27#484×C139—21no—
28#480×C139—21no—
29#480×C139—21no—
30#474×C139C2211yescharacteristic
31#474×C139C2211yescharacteristic
32#474×C139C2211yescharacteristic
33#468×C139—21no—
34#467×C139—21no—
35#466×C139—21no—
36#466×C139—21no—
37#461×C139C2211yescharacteristic
38#461×C139C2211yescharacteristic, complemented
39#461×C139C2211yescharacteristic, complemented
40#459×C139C2211yescharacteristic
41#459×C139C2211yescharacteristic
42#452×C139—21no—
43#452×C139—21no—
44#449×C139—21no—
45#447×C139—21no—
46#447×C139—21no—
47C4×D8×C139C2211yescharacteristic
48C4×D8×C139C2211yescharacteristic
49#436×C139C2211yescharacteristic, complemented
50C8×D4×C139C2211yescharacteristic
51C8×D4×C139C2211yescharacteristic
52C8×D4×C139C2211yescharacteristic, complemented
53#417×C139—21no—
54C2×#102×C139—21no—
55C2×#102×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#332×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic
62D4⋊C8×C139C2211yescharacteristic
63D4⋊C8×C139C2211yescharacteristic
64D4⋊C8×C139C2211yescharacteristic, complemented
65D4⋊C8×C139C2211yescharacteristic, complemented
66#322×C139C2211yescharacteristic, complemented
67C2×#41×C139—21no—
68C2×#41×C139—21no—
69C2×#41×C139—21no—
70C22×D4×C139—21no—
71C22×D4×C139—21no—
72#135×C139—44no—
73C2×Q16×C139—21no—
74C2×Q16×C139—21no—
75C2×SD16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×C139—21no—
78C2×D8×C139—21no—
79C2×D8×C139—21no—
80C2×D8×C139D411yescharacteristic
81C2×D8×C139D411yescharacteristic
82C2×M16×C139—21no—
83C22×C8×C139—21no—
84C22×C8×C139—21no—
85C22×C8×C139—21no—
86C4⋊Q8×C139C2311yescharacteristic
87C4⋊Q8×C139C2311yescharacteristic
88C4⋊Q8×C139C2311yescharacteristic
89#127×C139C2311yescharacteristic
90#123×C139—41no—
91#123×C139—41no—
92#123×C139—41no—
93C22⋊Q8×C139—21no—
94C22⋊Q8×C139—21no—
95C22⋊Q8×C139—21no—
96#121×C139—21no—
97#121×C139—21no—
98#121×C139—21no—
99#121×C139—21no—
100#121×C139—21no—
101#120×C139—41no—
102C4×D4×C139C2311yescharacteristic
103C4×D4×C139C2311yescharacteristic
104C4×D4×C139C2311yescharacteristic
105C4×D4×C139C2311yescharacteristic
106C2×C4⋊C4×C139—21no—
107C2×C4⋊C4×C139—21no—
108C2×C4⋊C4×C139—21no—
109#107×C139—21no—
110#107×C139—21no—
111#107×C139—21no—
112#107×C139D411yescharacteristic
113#107×C139D411yescharacteristic
114#106×C139—41no—
115C4⋊C8×C139C2311yescharacteristic
116C4⋊C8×C139C2311yescharacteristic
117C4⋊C8×C139C2311yescharacteristic
118C4⋊C8×C139C2311yescharacteristic
119#103×C139—21no—
120#103×C139—21no—
121#103×C139—21no—
122#103×C139—21no—
123#103×C139—21no—
124#102×C139—21no—
125#102×C139—21no—
126#102×C139—21no—
127#102×C139—21no—
128#102×C139—21no—
129#102×C139—21no—
130#102×C139—21no—
131#102×C139—21no—
132#102×C139—21no—
133#102×C139—41no—
134#102×C139D411yescharacteristic
135#102×C139D411yescharacteristic
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138C22⋊C8×C139—21no—
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142C4×C8×C139C2311yescharacteristic
143C4×C8×C139C2311yescharacteristic
144C4×C8×C139C2311yescharacteristic
145C24×C139—41no—
146#41×C139—42no—
147#41×C139—42no—
148#41×C139—42no—
149#41×C139—81no—
150#41×C139—81no—
151#41×C139—81no—
152C2×Q8×C139—21no—
153C2×Q8×C139—21no—
154C2×Q8×C139—21no—
155C2×D4×C139—21no—
156C2×D4×C139—21no—
157C2×D4×C139—21no—
158C2×D4×C139—41no—
159C2×D4×C139—41no—
160C2×D4×C139—42no—
161C2×D4×C139—42no—
162C2×D4×C139—41no—
163C2×D4×C139—41no—
164C2×D4×C139—41no—
165C2×D4×C139—81no—
166C2×D4×C139—81no—
167C2×D4×C139C2×D411yescharacteristic
168C2×D4×C139C2×D411yescharacteristic
169C2×D4×C139C2×D411yescharacteristic
170C2×D4×C139C2×D411yescharacteristic
171C22×C4×C139—21no—
172C22×C4×C139—21no—
173C22×C4×C139—21no—
174C22×C4×C139—21no—
175C22×C4×C139—41no—
176C22×C4×C139—41no—
177C22×C4×C139—41no—
178Q16×C139—42no—
179Q16×C139—81no—
180SD16×C139—42no—
181SD16×C139—42no—
182SD16×C139—81no—
183D8×C139—22no—
184D8×C139—22no—
185D8×C139—81no—
186D8×C139—81no—
187M16×C139—81no—
188C2×C8×C139—21no—
189C2×C8×C139—21no—
190C2×C8×C139—21no—
191C2×C8×C139—21no—
192C2×C8×C139—21no—
193C2×C8×C139—42no—
194C2×C8×C139—81no—
195C2×C8×C139—81no—
196C2×C8×C139C2×D411yescharacteristic
197C2×C8×C139C2×D411yescharacteristic
198C2×C8×C139C2×D411yescharacteristic
199C2×C8×C139C2×D411yescharacteristic
200C4⋊C4×C139—21no—
201C4⋊C4×C139—21no—
202C4⋊C4×C139—21no—
203C4⋊C4×C139—21no—
204C4⋊C4×C139—21no—
205C4⋊C4×C139—21no—
206C4⋊C4×C139—41no—
207C4⋊C4×C139—41no—
208C4⋊C4×C139—41no—
209C4⋊C4×C139C2×D411yescharacteristic
210C4⋊C4×C139C2×D411yescharacteristic
211C4⋊C4×C139C2×D411yescharacteristic
212C4⋊C4×C139C2×D411yescharacteristic
213C22⋊C4×C139—21no—
214C22⋊C4×C139—21no—
215C22⋊C4×C139—21no—
216C22⋊C4×C139—21no—
217C22⋊C4×C139—41no—
218C22⋊C4×C139—41no—
219C22⋊C4×C139—41no—
220C22⋊C4×C139—41no—
221C42×C139C2411yescharacteristic
222C23×C139—21no—
223C23×C139—21no—
224C23×C139—21no—
225C23×C139—21no—
226C23×C139—41no—
227C23×C139—82no—
228C23×C139—82no—
229C23×C139—161no—
230Q8×C139—41no—
231Q8×C139—41no—
232Q8×C139—41no—
233Q8×C139—41no—
234Q8×C139—41no—
235Q8×C139—41no—
236D4×C139—21no—
237D4×C139—21no—
238D4×C139—21no—
239D4×C139—21no—
240D4×C139—21no—
241D4×C139—21no—
242D4×C139—41no—
243D4×C139—41no—
244D4×C139—41no—
245D4×C139—41no—
246D4×C139—81no—
247D4×C139—82no—
248D4×C139—82no—
249D4×C139—82no—
250D4×C139—82no—
251D4×C139—82no—
252D4×C139#13512yescomplemented
253D4×C139AGL(1,ℤ/8)12yes—
254C2×C4×C139—21no—
255C2×C4×C139—21no—
256C2×C4×C139—21no—
257C2×C4×C139—21no—
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—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—41no—
269C2×C4×C139—82no—
270C2×C4×C139—82no—
271C2×C4×C139—82no—
272C2×C4×C139C22×D411yescharacteristic
273C2×C4×C139C22×D411yescharacteristic
274C2×C4×C139H(5,𝔽2)11yescharacteristic
275C8×C139—21no—
276C8×C139—21no—
277C8×C139—21no—
278C8×C139—21no—
279C8×C139—41no—
280C8×C139—41no—
281C8×C139—41no—
282C8×C139—41no—
283C8×C139—41no—
284C22×C139—22no—
285C22×C139—22no—
286C22×C139—41no—
287C22×C139—41no—
288C22×C139—41no—
289C22×C139—41no—
290C22×C139—41no—
291C22×C139—41no—
292C22×C139—41no—
293C22×C139—41no—
294C22×C139—41no—
295C22×C139—41no—
296C22×C139—81no—
297C22×C139—81no—
298C22×C139—81no—
299C22×C139—164no—
300C22×C139D4211yescharacteristic
301C4×C139—21no—
302C4×C139—41no—
303C4×C139—41no—
304C4×C139—41no—
305C4×C139—41no—
306C4×C139—81no—
307C4×C139—81no—
308C4×C139—81no—
309C4×C139C2×#13511yescharacteristic
310C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C139#57611yescharacteristic
312C4×C139#57611yescharacteristic
313C2×C139—42no—
314C2×C139—42no—
315C2×C139—81no—
316C2×C139—81no—
317C2×C139—161no—
318C2×C139#326411yescharacteristic
319C2×C139#328011yescharacteristic
320C2×C139#328911yescharacteristic
321#19772C13911yesmaximal, characteristic, direct product factor, Sylow
322C139#1977211yescharacteristic, direct product factor, Sylow
323#3330C2×C13911yescharacteristic, complemented
324#3294C2×C13911yescharacteristic, complemented
325#3294C2×C13911yescharacteristic, complemented
326#3283C2×C13911yescharacteristic, complemented
327#1720C2×C13911yescharacteristic, complemented
328#1701C2×C13911yescharacteristic, complemented
329#1681C2×C13911yescharacteristic, complemented
330#1679C2×C13911yescharacteristic, complemented
331#1669C2×C13911yescharacteristic, complemented
332#1654C2×C13911yescharacteristic, complemented
333#1654C2×C13911yescharacteristic, complemented
334#1639C2×C13911yescharacteristic, complemented
335#1625C2×C13911yescharacteristic, complemented
336#1581C2×C13911yescharacteristic, complemented
337#1580C2×C13911yescharacteristic, complemented
338C2×#135—21no—
339#547C22×C13911yescharacteristic
340#547C22×C13911yescharacteristic
341#547C22×C13911yescharacteristic, complemented
342D42C22×C13911yescharacteristic
343#498C22×C13911yescharacteristic, complemented
344#494C22×C13911yescharacteristic, complemented
345#487C22×C13911yescharacteristic, complemented
346#486C22×C13911yescharacteristic
347#486C22×C13911yescharacteristic
348#486C22×C13911yescharacteristic
349#484—21no—
350#480—21no—
351#480—21no—
352#474C22×C13911yescharacteristic
353#474C22×C13911yescharacteristic
354#474C22×C13911yescharacteristic
355#468—21no—
356#467—21no—
357#466—21no—
358#466—21no—
359#461C22×C13911yescharacteristic
360#461C22×C13911yescharacteristic, complemented
361#461C22×C13911yescharacteristic, complemented
362#459C22×C13911yescharacteristic
363#459C22×C13911yescharacteristic
364#452—21no—
365#452—21no—
366#449—21no—
367#447—21no—
368#447—21no—
369C4×D8C22×C13911yescharacteristic
370C4×D8C22×C13911yescharacteristic
371#436C22×C13911yescharacteristic, complemented
372C8×D4C22×C13911yescharacteristic
373C8×D4C22×C13911yescharacteristic
374C8×D4C22×C13911yescharacteristic, complemented
375#417—21no—
376C2×#102—21no—
377C2×#102—21no—
378#335C22×C13911yescharacteristic, complemented
379#334C22×C13911yescharacteristic, complemented
380#332C22×C13911yescharacteristic, complemented
381#332C22×C13911yescharacteristic, complemented
382#332C22×C13911yescharacteristic, complemented
383#331C22×C13911yescharacteristic
384D4⋊C8C22×C13911yescharacteristic
385D4⋊C8C22×C13911yescharacteristic
386D4⋊C8C22×C13911yescharacteristic, complemented
387D4⋊C8C22×C13911yescharacteristic, complemented
388#322C22×C13911yescharacteristic, complemented
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394#135—44no—
395C2×Q16—21no—
396C2×Q16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8D4×C13911yescharacteristic
403C2×D8D4×C13911yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C13911yescharacteristic
409C4⋊Q8C23×C13911yescharacteristic
410C4⋊Q8C23×C13911yescharacteristic
411#127C23×C13911yescharacteristic
412#123—41no—
413#123—41no—
414#123—41no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—21no—
423#120—41no—
424C4×D4C23×C13911yescharacteristic
425C4×D4C23×C13911yescharacteristic
426C4×D4C23×C13911yescharacteristic
427C4×D4C23×C13911yescharacteristic
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C13911yescharacteristic
435#107D4×C13911yescharacteristic
436#106—41no—
437C4⋊C8C23×C13911yescharacteristic
438C4⋊C8C23×C13911yescharacteristic
439C4⋊C8C23×C13911yescharacteristic
440C4⋊C8C23×C13911yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—41no—
456#102D4×C13911yescharacteristic
457#102D4×C13911yescharacteristic
458#102D4×C13911yescharacteristic
459#102D4×C13911yescharacteristic
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464C4×C8C23×C13911yescharacteristic
465C4×C8C23×C13911yescharacteristic
466C4×C8C23×C13911yescharacteristic
467C24—41no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C13911yescharacteristic
490C2×D4C2×D4×C13911yescharacteristic
491C2×D4C2×D4×C13911yescharacteristic
492C2×D4C2×D4×C13911yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500Q16—42no—
501Q16—81no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505D8—22no—
506D8—22no—
507D8—81no—
508D8—81no—
509M16—81no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—42no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C13911yescharacteristic
519C2×C8C2×D4×C13911yescharacteristic
520C2×C8C2×D4×C13911yescharacteristic
521C2×C8C2×D4×C13911yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C13911yescharacteristic
532C4⋊C4C2×D4×C13911yescharacteristic
533C4⋊C4C2×D4×C13911yescharacteristic
534C4⋊C4C2×D4×C13911yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42C24×C13911yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4#135×C13912yescomplemented
575D4AGL(1,ℤ/8)×C13912yes—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
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—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C13911yescharacteristic
595C2×C4C22×D4×C13911yescharacteristic
596C2×C4H(5,𝔽2)×C13911yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C13911yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×#135×C13911yescharacteristic
632C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
633C4#576×C13911yescharacteristic
634C4#576×C13911yescharacteristic
635C2—42no—
636C2—42no—
637C2—81no—
638C2—81no—
639C2—161no—
640C2#3264×C13911yescharacteristic
641C2#3280×C13911yescharacteristic
642C2#3289×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC42C24×C139
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C42×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3330×C139C2semidirect
2. #3294×C139C2semidirect
3. #3294×C139C2semidirect
4. #3283×C139C2semidirect
5. #1720×C139C2semidirect
6. #1701×C139C2semidirect
7. #1681×C139C2semidirect
8. #1679×C139C2semidirect
9. #1669×C139C2semidirect
10. #1654×C139C2semidirect
11. #1654×C139C2semidirect
12. #1639×C139C2semidirect
13. #1625×C139C2semidirect
14. #1581×C139C2semidirect
15. #1580×C139C2semidirect
19. #547×C139C22semidirect
21. #498×C139C22semidirect
22. #494×C139C22semidirect
23. #487×C139C22semidirect
38. #461×C139C22semidirect
39. #461×C139C22semidirect
49. #436×C139C22semidirect
52. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #332×C139C22semidirect
60. #332×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
252. D4×C139#135semidirect
321. #19772C139direct (N × H)
322. C139#19772direct (N × H)
323. #3330C2×C139semidirect
324. #3294C2×C139semidirect
325. #3294C2×C139semidirect
326. #3283C2×C139semidirect
327. #1720C2×C139semidirect
328. #1701C2×C139semidirect
329. #1681C2×C139semidirect
330. #1679C2×C139semidirect
331. #1669C2×C139semidirect
332. #1654C2×C139semidirect
333. #1654C2×C139semidirect
334. #1639C2×C139semidirect
335. #1625C2×C139semidirect
336. #1581C2×C139semidirect
337. #1580C2×C139semidirect
341. #547C22×C139semidirect
343. #498C22×C139semidirect
344. #494C22×C139semidirect
345. #487C22×C139semidirect
360. #461C22×C139semidirect
361. #461C22×C139semidirect
371. #436C22×C139semidirect
374. C8×D4C22×C139semidirect
378. #335C22×C139semidirect
379. #334C22×C139semidirect
380. #332C22×C139semidirect
381. #332C22×C139semidirect
382. #332C22×C139semidirect
386. D4⋊C8C22×C139semidirect
387. D4⋊C8C22×C139semidirect
388. #322C22×C139semidirect
574. D4#135×C139semidirect

Maximal subgroups

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

subgroupindex
#3330×C1392
#3294×C1392
#3283×C1392
#1720×C1392
#1701×C1392
#1681×C1392
#1679×C1392
#1669×C1392
#1654×C1392
#1639×C1392
#1625×C1392
#1581×C1392
#1580×C1392
#19772139