Finite Group Databasebeta

← C139×#19773 #48014369

Subgroups — C139×#19773 #48014369

Order 35584.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3360×C139C211yesmaximal, characteristic, complemented
2#3324×C139C211yesmaximal, characteristic, complemented
3#3295×C139C211yesmaximal, characteristic, complemented
4D4×D8×C139C211yesmaximal, characteristic
5#1717×C139C211yesmaximal, characteristic, complemented
6#1697×C139C211yesmaximal, characteristic, complemented
7#1683×C139C211yesmaximal, characteristic, complemented
8#1681×C139C211yesmaximal, characteristic, complemented
9#1668×C139C211yesmaximal, characteristic, complemented
10#1639×C139C211yesmaximal, characteristic, complemented
11#1629×C139C211yesmaximal, characteristic, complemented
12#1628×C139C211yesmaximal, characteristic, complemented
13#1622×C139C211yesmaximal, characteristic, complemented
14#1581×C139C211yesmaximal, characteristic, complemented
15SD16⋊C8×C139C211yesmaximal, characteristic, complemented
16C22×D8×C139—21no—
17#556×C139C2211yescharacteristic, complemented
18#554×C139C2211yescharacteristic, complemented
19D42×C139C2211yescharacteristic
20D42×C139C2211yescharacteristic
21#493×C139C2211yescharacteristic
22#492×C139C2211yescharacteristic, complemented
23#488×C139—21no—
24#487×C139C2211yescharacteristic, complemented
25#486×C139C2211yescharacteristic, complemented
26#486×C139C2211yescharacteristic, complemented
27#486×C139C2211yescharacteristic, complemented
28#482×C139—21no—
29#481×C139—21no—
30#479×C139—21no—
31#476×C139C2211yescharacteristic
32#476×C139C2211yescharacteristic, complemented
33#474×C139C2211yescharacteristic
34#468×C139—21no—
35#466×C139—21no—
36#465×C139—21no—
37#463×C139—21no—
38#461×C139C2211yescharacteristic, complemented
39#460×C139C2211yescharacteristic, complemented
40#460×C139C2211yescharacteristic, complemented
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic
43#450×C139—21no—
44#450×C139—21no—
45#447×C139—21no—
46#447×C139—21no—
47C8×Q8×C139C2211yescharacteristic, complemented
48C4×SD16×C139—21no—
49C4×SD16×C139C2211yescharacteristic
50C4×D8×C139C2211yescharacteristic
51#436×C139C2211yescharacteristic, complemented
52C8×D4×C139C2211yescharacteristic
53C8×D4×C139C2211yescharacteristic, complemented
54#418×C139—21no—
55C2×#102×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#335×C139C2211yescharacteristic, complemented
58#333×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#331×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic, complemented
62Q8⋊C8×C139C2211yescharacteristic, complemented
63D4⋊C8×C139C2211yescharacteristic
64D4⋊C8×C139C2211yescharacteristic, complemented
65D4⋊C8×C139C2211yescharacteristic, complemented
66#322×C139C2211yescharacteristic, complemented
67C22×D4×C139—21no—
68C22×D4×C139—21no—
69C22×D4×C139—21no—
70C22×D4×C139—21no—
71C2×SD16×C139—21no—
72C2×SD16×C139—21no—
73C2×SD16×C139—21no—
74C2×SD16×C139—41no—
75C2×SD16×C139D411yescharacteristic
76C2×D8×C139—21no—
77C2×D8×C139—21no—
78C2×D8×C139—21no—
79C2×D8×C139—21no—
80C2×D8×C139—44no—
81C2×D8×C139D411yescharacteristic
82C2×M16×C139—21no—
83C22×C8×C139—21no—
84C22×C8×C139—21no—
85C4⋊Q8×C139C2311yescharacteristic
86C4⋊Q8×C139C2311yescharacteristic
87#127×C139C2311yescharacteristic
88#127×C139C2311yescharacteristic
89#126×C139—41no—
90#125×C139—21no—
91#124×C139—21no—
92C22⋊Q8×C139—21no—
93C22⋊Q8×C139—21no—
94C22⋊Q8×C139—41no—
95#121×C139—21no—
96#121×C139—21no—
97#121×C139—21no—
98#121×C139—21no—
99#120×C139—41no—
100#120×C139—41no—
101C4×Q8×C139—21no—
102C4×Q8×C139C2311yescharacteristic
103C4×D4×C139—21no—
104C4×D4×C139C2311yescharacteristic
105C4×D4×C139C2311yescharacteristic
106C4×D4×C139C2311yescharacteristic
107#117×C139—21no—
108C2×C4⋊C4×C139—21no—
109#107×C139—21no—
110#107×C139D411yescharacteristic
111#106×C139—21no—
112#106×C139—21no—
113#106×C139D411yescharacteristic
114C4⋊C8×C139—21no—
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×C139D411yescharacteristic
123#102×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—21no—
134#102×C139—41no—
135#102×C139D411yescharacteristic
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138C22⋊C8×C139—21no—
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141C4×C8×C139—21no—
142C4×C8×C139C2311yescharacteristic
143C4×C8×C139C2311yescharacteristic
144C4×C8×C139C2311yescharacteristic
145C24×C139—41no—
146C24×C139—41no—
147C2×Q8×C139—21no—
148C2×Q8×C139—21no—
149C2×Q8×C139C2×D411yescharacteristic
150C2×D4×C139—21no—
151C2×D4×C139—21no—
152C2×D4×C139—21no—
153C2×D4×C139—21no—
154C2×D4×C139—21no—
155C2×D4×C139—21no—
156C2×D4×C139—41no—
157C2×D4×C139—41no—
158C2×D4×C139—41no—
159C2×D4×C139—41no—
160C2×D4×C139—42no—
161C2×D4×C139—42no—
162C2×D4×C139—42no—
163C2×D4×C139—42no—
164C2×D4×C139—81no—
165C2×D4×C139—81no—
166C2×D4×C139—81no—
167C2×D4×C139—81no—
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—41no—
175SD16×C139—22no—
176SD16×C139—42no—
177SD16×C139—81no—
178SD16×C139—81no—
179SD16×C139—82no—
180D8×C139—22no—
181D8×C139—42no—
182D8×C139—42no—
183D8×C139—42no—
184D8×C139—81no—
185M16×C139—81no—
186C2×C8×C139—21no—
187C2×C8×C139—21no—
188C2×C8×C139—21no—
189C2×C8×C139—21no—
190C2×C8×C139—21no—
191C2×C8×C139—42no—
192C2×C8×C139—81no—
193C2×C8×C139C2×D411yescharacteristic
194C2×C8×C139C2×D411yescharacteristic
195C2×C8×C139C2×D411yescharacteristic
196C2×C8×C139C2×D411yescharacteristic
197C4⋊C4×C139—21no—
198C4⋊C4×C139—21no—
199C4⋊C4×C139—21no—
200C4⋊C4×C139—21no—
201C4⋊C4×C139—21no—
202C4⋊C4×C139—41no—
203C4⋊C4×C139—41no—
204C4⋊C4×C139—41no—
205C4⋊C4×C139C2×D411yescharacteristic
206C4⋊C4×C139C2×D411yescharacteristic
207C4⋊C4×C139C2×D411yescharacteristic
208C4⋊C4×C139C2×D411yescharacteristic
209C22⋊C4×C139—21no—
210C22⋊C4×C139—21no—
211C22⋊C4×C139—21no—
212C22⋊C4×C139—41no—
213C22⋊C4×C139—41no—
214C22⋊C4×C139—41no—
215C22⋊C4×C139—41no—
216C22⋊C4×C139—41no—
217C42×C139—21no—
218C42×C139—41no—
219C42×C139C2411yescharacteristic
220C23×C139—21no—
221C23×C139—21no—
222C23×C139—21no—
223C23×C139—41no—
224C23×C139—41no—
225C23×C139—82no—
226C23×C139—82no—
227C23×C139—82no—
228C23×C139—82no—
229C23×C139—161no—
230C23×C139—161no—
231Q8×C139—21no—
232Q8×C139—21no—
233Q8×C139—41no—
234Q8×C139—41no—
235Q8×C139—81no—
236D4×C139—21no—
237D4×C139—21no—
238D4×C139—21no—
239D4×C139—21no—
240D4×C139—41no—
241D4×C139—41no—
242D4×C139—41no—
243D4×C139—41no—
244D4×C139—41no—
245D4×C139—41no—
246D4×C139—41no—
247D4×C139—41no—
248D4×C139—81no—
249D4×C139—81no—
250D4×C139—82no—
251D4×C139—82no—
252D4×C139—82no—
253D4×C139—82no—
254D4×C139#13512yes—
255D4×C139AGL(1,ℤ/8)12yes—
256C2×C4×C139—21no—
257C2×C4×C139—21no—
258C2×C4×C139—21no—
259C2×C4×C139—21no—
260C2×C4×C139—21no—
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—161no—
270C2×C4×C139C22×D411yescharacteristic
271C2×C4×C139C22×D411yescharacteristic
272C2×C4×C139H(5,𝔽2)11yescharacteristic
273C8×C139—21no—
274C8×C139—21no—
275C8×C139—21no—
276C8×C139—21no—
277C8×C139—41no—
278C8×C139—41no—
279C8×C139—41no—
280C8×C139—41no—
281C8×C139—41no—
282C22×C139—22no—
283C22×C139—22no—
284C22×C139—41no—
285C22×C139—41no—
286C22×C139—41no—
287C22×C139—41no—
288C22×C139—41no—
289C22×C139—41no—
290C22×C139—41no—
291C22×C139—81no—
292C22×C139—81no—
293C22×C139—81no—
294C22×C139—81no—
295C22×C139—81no—
296C22×C139—81no—
297C22×C139—164no—
298C22×C139—164no—
299C22×C139D4211yescharacteristic
300C4×C139—21no—
301C4×C139—41no—
302C4×C139—41no—
303C4×C139—41no—
304C4×C139—41no—
305C4×C139—41no—
306C4×C139—81no—
307C4×C139—81no—
308C4×C139C2×#13511yescharacteristic
309C4×C139C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C139#57611yescharacteristic
311C4×C139#57711yescharacteristic
312C2×C139—42no—
313C2×C139—42no—
314C2×C139—81no—
315C2×C139—161no—
316C2×C139—161no—
317C2×C139#326511yescharacteristic
318C2×C139#328011yescharacteristic
319C2×C139#328811yescharacteristic
320#19773C13911yesmaximal, characteristic, direct product factor, Sylow
321C139#1977311yescharacteristic, direct product factor, Sylow
322#3360C2×C13911yescharacteristic, complemented
323#3324C2×C13911yescharacteristic, complemented
324#3295C2×C13911yescharacteristic, complemented
325D4×D8C2×C13911yescharacteristic
326#1717C2×C13911yescharacteristic, complemented
327#1697C2×C13911yescharacteristic, complemented
328#1683C2×C13911yescharacteristic, complemented
329#1681C2×C13911yescharacteristic, complemented
330#1668C2×C13911yescharacteristic, complemented
331#1639C2×C13911yescharacteristic, complemented
332#1629C2×C13911yescharacteristic, complemented
333#1628C2×C13911yescharacteristic, complemented
334#1622C2×C13911yescharacteristic, complemented
335#1581C2×C13911yescharacteristic, complemented
336SD16⋊C8C2×C13911yescharacteristic, complemented
337C22×D8—21no—
338#556C22×C13911yescharacteristic, complemented
339#554C22×C13911yescharacteristic, complemented
340D42C22×C13911yescharacteristic
341D42C22×C13911yescharacteristic
342#493C22×C13911yescharacteristic
343#492C22×C13911yescharacteristic, complemented
344#488—21no—
345#487C22×C13911yescharacteristic, complemented
346#486C22×C13911yescharacteristic, complemented
347#486C22×C13911yescharacteristic, complemented
348#486C22×C13911yescharacteristic, complemented
349#482—21no—
350#481—21no—
351#479—21no—
352#476C22×C13911yescharacteristic
353#476C22×C13911yescharacteristic, complemented
354#474C22×C13911yescharacteristic
355#468—21no—
356#466—21no—
357#465—21no—
358#463—21no—
359#461C22×C13911yescharacteristic, complemented
360#460C22×C13911yescharacteristic, complemented
361#460C22×C13911yescharacteristic, complemented
362#459C22×C13911yescharacteristic
363#459C22×C13911yescharacteristic
364#450—21no—
365#450—21no—
366#447—21no—
367#447—21no—
368C8×Q8C22×C13911yescharacteristic, complemented
369C4×SD16—21no—
370C4×SD16C22×C13911yescharacteristic
371C4×D8C22×C13911yescharacteristic
372#436C22×C13911yescharacteristic, complemented
373C8×D4C22×C13911yescharacteristic
374C8×D4C22×C13911yescharacteristic, complemented
375#418—21no—
376C2×#102—21no—
377#335C22×C13911yescharacteristic, complemented
378#335C22×C13911yescharacteristic, complemented
379#333C22×C13911yescharacteristic, complemented
380#332C22×C13911yescharacteristic, complemented
381#331C22×C13911yescharacteristic, complemented
382#331C22×C13911yescharacteristic, complemented
383Q8⋊C8C22×C13911yescharacteristic, complemented
384D4⋊C8C22×C13911yescharacteristic
385D4⋊C8C22×C13911yescharacteristic, complemented
386D4⋊C8C22×C13911yescharacteristic, complemented
387#322C22×C13911yescharacteristic, complemented
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16D4×C13911yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—44no—
402C2×D8D4×C13911yescharacteristic
403C2×M16—21no—
404C22×C8—21no—
405C22×C8—21no—
406C4⋊Q8C23×C13911yescharacteristic
407C4⋊Q8C23×C13911yescharacteristic
408#127C23×C13911yescharacteristic
409#127C23×C13911yescharacteristic
410#126—41no—
411#125—21no—
412#124—21no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—41no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#120—41no—
421#120—41no—
422C4×Q8—21no—
423C4×Q8C23×C13911yescharacteristic
424C4×D4—21no—
425C4×D4C23×C13911yescharacteristic
426C4×D4C23×C13911yescharacteristic
427C4×D4C23×C13911yescharacteristic
428#117—21no—
429C2×C4⋊C4—21no—
430#107—21no—
431#107D4×C13911yescharacteristic
432#106—21no—
433#106—21no—
434#106D4×C13911yescharacteristic
435C4⋊C8—21no—
436C4⋊C8C23×C13911yescharacteristic
437C4⋊C8C23×C13911yescharacteristic
438C4⋊C8C23×C13911yescharacteristic
439C4⋊C8C23×C13911yescharacteristic
440#103—21no—
441#103—21no—
442#103—21no—
443#103D4×C13911yescharacteristic
444#102—21no—
445#102—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
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C4×C8—21no—
463C4×C8C23×C13911yescharacteristic
464C4×C8C23×C13911yescharacteristic
465C4×C8C23×C13911yescharacteristic
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C13911yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C13911yescharacteristic
490C2×D4C2×D4×C13911yescharacteristic
491C2×D4C2×D4×C13911yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C13911yescharacteristic
515C2×C8C2×D4×C13911yescharacteristic
516C2×C8C2×D4×C13911yescharacteristic
517C2×C8C2×D4×C13911yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C13911yescharacteristic
527C4⋊C4C2×D4×C13911yescharacteristic
528C4⋊C4C2×D4×C13911yescharacteristic
529C4⋊C4C2×D4×C13911yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C13911yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4#135×C13912yes—
576D4AGL(1,ℤ/8)×C13912yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
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—161no—
591C2×C4C22×D4×C13911yescharacteristic
592C2×C4C22×D4×C13911yescharacteristic
593C2×C4H(5,𝔽2)×C13911yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C13911yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×#135×C13911yescharacteristic
630C4C2×AGL(1,ℤ/8)×C13911yescharacteristic
631C4#576×C13911yescharacteristic
632C4#577×C13911yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2#3265×C13911yescharacteristic
639C2#3280×C13911yescharacteristic
640C2#3288×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC42C24×C139
prime radicalD4×D8×C139C2
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. #3360×C139C2semidirect
2. #3324×C139C2semidirect
3. #3295×C139C2semidirect
5. #1717×C139C2semidirect
6. #1697×C139C2semidirect
7. #1683×C139C2semidirect
8. #1681×C139C2semidirect
9. #1668×C139C2semidirect
10. #1639×C139C2semidirect
11. #1629×C139C2semidirect
12. #1628×C139C2semidirect
13. #1622×C139C2semidirect
14. #1581×C139C2semidirect
15. SD16⋊C8×C139C2semidirect
17. #556×C139C22semidirect
18. #554×C139C22semidirect
22. #492×C139C22semidirect
24. #487×C139C22semidirect
25. #486×C139C22semidirect
26. #486×C139C22semidirect
27. #486×C139C22semidirect
32. #476×C139C22semidirect
38. #461×C139C22semidirect
39. #460×C139C22semidirect
40. #460×C139C22semidirect
47. C8×Q8×C139C22semidirect
51. #436×C139C22semidirect
53. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #335×C139C22semidirect
58. #333×C139C22semidirect
59. #332×C139C22semidirect
60. #331×C139C22semidirect
61. #331×C139C22semidirect
62. Q8⋊C8×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
320. #19773C139direct (N × H)
321. C139#19773direct (N × H)
322. #3360C2×C139semidirect
323. #3324C2×C139semidirect
324. #3295C2×C139semidirect
326. #1717C2×C139semidirect
327. #1697C2×C139semidirect
328. #1683C2×C139semidirect
329. #1681C2×C139semidirect
330. #1668C2×C139semidirect
331. #1639C2×C139semidirect
332. #1629C2×C139semidirect
333. #1628C2×C139semidirect
334. #1622C2×C139semidirect
335. #1581C2×C139semidirect
336. SD16⋊C8C2×C139semidirect
338. #556C22×C139semidirect
339. #554C22×C139semidirect
343. #492C22×C139semidirect
345. #487C22×C139semidirect
346. #486C22×C139semidirect
347. #486C22×C139semidirect
348. #486C22×C139semidirect
353. #476C22×C139semidirect
359. #461C22×C139semidirect
360. #460C22×C139semidirect
361. #460C22×C139semidirect
368. C8×Q8C22×C139semidirect
372. #436C22×C139semidirect
374. C8×D4C22×C139semidirect
377. #335C22×C139semidirect
378. #335C22×C139semidirect
379. #333C22×C139semidirect
380. #332C22×C139semidirect
381. #331C22×C139semidirect
382. #331C22×C139semidirect
383. Q8⋊C8C22×C139semidirect
385. D4⋊C8C22×C139semidirect
386. D4⋊C8C22×C139semidirect
387. #322C22×C139semidirect

Maximal subgroups

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

subgroupindex
#3360×C1392
#3324×C1392
#3295×C1392
D4×D8×C1392
#1717×C1392
#1697×C1392
#1683×C1392
#1681×C1392
#1668×C1392
#1639×C1392
#1629×C1392
#1628×C1392
#1622×C1392
#1581×C1392
SD16⋊C8×C1392
#19773139