Finite Group Databasebeta

← C139×#34219 #48028815

Subgroups — C139×#34219 #48028815

Order 35584.

2230 conjugacy classes of subgroups.

The subgroup lattice has 620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#529×C139C211yesmaximal, characteristic
2#2373×C139C214yesmaximal, complemented
3#2372×C139C212yesmaximal, complemented
4#2371×C139C212yesmaximal, complemented
5#2356×C139C212yesmaximal, complemented
6#2353×C139C212yesmaximal, complemented
7#2346×C139C212yesmaximal, complemented
8#2343×C139C212yesmaximal, complemented
9#2329×C139C212yesmaximal, complemented
10#2325×C139C212yesmaximal
11#2318×C139C212yesmaximal, complemented
12C4×#123×C139C214yesmaximal, complemented
13#2283×C139C211yesmaximal, characteristic, complemented
14#2275×C139C212yesmaximal, complemented
15C2×#376×C139C211yesmaximal, characteristic, complemented
16#529×C139C4116yescomplemented
17C2×#126×C139C2212yes—
18C2×#125×C139C2211yescharacteristic
19C2×#124×C139C2211yescharacteristic
20C2×#123×C139C2212yes—
21C2×C22⋊Q8×C139C2211yescharacteristic
22C2×#121×C139C2211yescharacteristic
23C2×C4×Q8×C139C2211yescharacteristic
24C2×C4×D4×C139C2214yes—
25C2×C4×D4×C139C2212yes—
26C2×C4×D4×C139C2211yescharacteristic
27C2×#117×C139C2212yes—
28C22×C42×C139C2212yes—
29C22×C42×C139C2211yescharacteristic
30#391×C139C2214yes—
31#389×C139C2214yes—
32#388×C139C2214yes—
33#388×C139C2214yes—
34#388×C139C2214yes—
35#388×C139C2214yes—
36#387×C139C2214yes—
37#387×C139C2214yes—
38#387×C139C2214yes—
39#387×C139C2214yes—
40#387×C139C2214yes—
41#387×C139C2214yes—
42#386×C139C2214yes—
43#386×C139C2214yes—
44#385×C139C2214yes—
45#385×C139C2214yes—
46#383×C139C2212yes—
47#383×C139C2212yes—
48#382×C139C2211yescharacteristic
49#382×C139C2211yescharacteristic
50#382×C139C2212yes—
51#381×C139C2212yes—
52#381×C139C2212yes—
53#380×C139C2212yes—
54#380×C139C2212yes—
55C4×C4⋊C4×C139C2212yes—
56C4×C4⋊C4×C139C2214yes—
57C4×C4⋊C4×C139C2212yes—
58C4×C4⋊C4×C139C2214yes—
59C4×C4⋊C4×C139C2214yes—
60C4×C22⋊C4×C139C2212yes—
61C4×C22⋊C4×C139C2214yes—
62C4×C22⋊C4×C139C2212yes—
63C4×C22⋊C4×C139C2214yes—
64C4×C22⋊C4×C139C2214yes—
65C4×C22⋊C4×C139C2214yes—
66#376×C139C2212yes—
67#376×C139C2212yes—
68#376×C139C2212yes—
69#376×C139C2212yes—
70#376×C139C2212yes—
71#376×C139C2212yes—
72C2×#95×C139C2211yescharacteristic
73C2×#95×C139C2211yescharacteristic
74C2×#95×C139C2212yes—
75C2×#95×C139C2212yes—
76C22×Q8×C139C2311yescharacteristic
77C22×D4×C139C2312yes—
78C22×D4×C139C2311yescharacteristic
79C23×C4×C139C2311yescharacteristic
80C23×C4×C139C2312yes—
81C23×C4×C139C2314yes—
82C23×C4×C139C2311yescharacteristic
83C23×C4×C139C2311yescharacteristic
84C23×C4×C139C2312yes—
85C23×C4×C139C2312yes—
86#126×C139C2×C4116yescomplemented
87#125×C139C2×C418yescomplemented
88#124×C139C2×C418yescomplemented
89#123×C139C2×C4116yescomplemented
90C22⋊Q8×C139C2×C418yescomplemented
91#121×C139C2×C418yes—
92C4×Q8×C139C2×C418yescomplemented
93C4×D4×C139—216no—
94C4×D4×C139C2×C418yescomplemented
95C4×D4×C139C2×C4116yescomplemented
96#117×C139C2×C4116yescomplemented
97C2×C4⋊C4×C139C2314yes—
98C2×C4⋊C4×C139C2312yes—
99C2×C4⋊C4×C139C2312yes—
100C2×C4⋊C4×C139C2314yes—
101C2×C4⋊C4×C139C2314yes—
102C2×C4⋊C4×C139C2312yes—
103C2×C4⋊C4×C139C2312yes—
104C2×C4⋊C4×C139C2311yescharacteristic
105C2×C4⋊C4×C139C2312yes—
106C2×C4⋊C4×C139C2311yescharacteristic
107C2×C4⋊C4×C139C2312yes—
108C2×C22⋊C4×C139C2314yes—
109C2×C22⋊C4×C139C2314yes—
110C2×C22⋊C4×C139C2314yes—
111C2×C22⋊C4×C139C2314yes—
112C2×C22⋊C4×C139C2312yes—
113C2×C22⋊C4×C139C2312yes—
114C2×C22⋊C4×C139C2312yes—
115C2×C22⋊C4×C139C2312yes—
116C2×C22⋊C4×C139C2312yes—
117C2×C42×C139—28no—
118C2×C42×C139C2×C418yescomplemented
119C2×C42×C139C2314yes—
120C2×C42×C139C2314yes—
121C2×C42×C139C2314yes—
122C2×C42×C139C2314yes—
123C2×C42×C139C2314yes—
124C2×C42×C139C2314yes—
125C2×C42×C139C2311yescharacteristic
126C2×C42×C139C2311yescharacteristic
127C2×C42×C139C2311yescharacteristic
128C2×C42×C139C2311yescharacteristic
129C2×C42×C139C2312yes—
130#95×C139C2312yes—
131#95×C139C2312yes—
132#95×C139C2312yes—
133#95×C139C2314yes—
134#95×C139C2314yes—
135#95×C139C2312yes—
136#95×C139C2312yes—
137#95×C139C2314yes—
138#95×C139C2312yes—
139#95×C139C2312yes—
140#95×C139C2314yes—
141#95×C139C2312yes—
142#95×C139C2314yes—
143#95×C139C2314yes—
144#95×C139C2314yes—
145#95×C139C2314yes—
146#95×C139C2314yes—
147#95×C139C2314yes—
148C24×C139C2412yes—
149C24×C139C2411yescharacteristic
150C2×Q8×C139—41no—
151C2×Q8×C139—41no—
152C2×Q8×C139C22×C414yes—
153C2×D4×C139—28no—
154C2×D4×C139—41no—
155C2×D4×C139—41no—
156C2×D4×C139C22×C418yes—
157C2×D4×C139C22×C414yes—
158C22×C4×C139—24no—
159C22×C4×C139—24no—
160C22×C4×C139—28no—
161C22×C4×C139—42no—
162C22×C4×C139—44no—
163C22×C4×C139—42no—
164C22×C4×C139—42no—
165C22×C4×C139—41no—
166C22×C4×C139—41no—
167C22×C4×C139—42no—
168C22×C4×C139—42no—
169C22×C4×C139—44no—
170C22×C4×C139—44no—
171C22×C4×C139C22×C414yes—
172C22×C4×C139C22×C414yes—
173C22×C4×C139C22×C414yes—
174C22×C4×C139C22×C418yes—
175C22×C4×C139#4118yes—
176C22×C4×C139C2414yes—
177C22×C4×C139C2414yes—
178C22×C4×C139C2414yes—
179C22×C4×C139C2411yescharacteristic
180C22×C4×C139C2411yescharacteristic
181C22×C4×C139C2411yescharacteristic
182C22×C4×C139C2411yescharacteristic
183C22×C4×C139C2411yescharacteristic
184C22×C4×C139C2412yes—
185C22×C4×C139C2412yes—
186C22×C4×C139C2412yes—
187C22×C4×C139C2411yescharacteristic
188C22×C4×C139C2414yes—
189C4⋊C4×C139—28no—
190C4⋊C4×C139—44no—
191C4⋊C4×C139—42no—
192C4⋊C4×C139—42no—
193C4⋊C4×C139—44no—
194C4⋊C4×C139C22×C418yes—
195C4⋊C4×C139C22×C418yes—
196C4⋊C4×C139C22×C414yes—
197C4⋊C4×C139C22×C418yes—
198C4⋊C4×C139C22×C414yes—
199C4⋊C4×C139C22×C418yes—
200C22⋊C4×C139—28no—
201C22⋊C4×C139—28no—
202C22⋊C4×C139—44no—
203C22⋊C4×C139—44no—
204C22⋊C4×C139C22×C418yes—
205C22⋊C4×C139C22×C418yes—
206C22⋊C4×C139C22×C418yes—
207C22⋊C4×C139C22×C418yes—
208C22⋊C4×C139C22×C418yes—
209C42×C139—28no—
210C42×C139—28no—
211C42×C139—28no—
212C42×C139—44no—
213C42×C139—44no—
214C42×C139—44no—
215C42×C139C22×C414yes—
216C42×C139C22×C414yes—
217C42×C139C22×C414yes—
218C42×C139C22×C414yes—
219C42×C139C22×C418yes—
220C23×C139—21no—
221C23×C139—22no—
222C23×C139—21no—
223C23×C139—24no—
224C23×C139—22no—
225C23×C139—24no—
226C23×C139—22no—
227C23×C139C23×C414yes—
228C23×C139C23×C412yes—
229C23×C139C2×#4114yes—
230C23×C139C2511yescharacteristic
231Q8×C139—44no—
232D4×C139—216no—
233D4×C139—44no—
234C2×C4×C139—28no—
235C2×C4×C139—22no—
236C2×C4×C139—22no—
237C2×C4×C139—24no—
238C2×C4×C139—22no—
239C2×C4×C139—22no—
240C2×C4×C139—24no—
241C2×C4×C139—24no—
242C2×C4×C139—24no—
243C2×C4×C139—21no—
244C2×C4×C139—21no—
245C2×C4×C139—22no—
246C2×C4×C139—22no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—24no—
250C2×C4×C139—24no—
251C2×C4×C139—24no—
252C2×C4×C139—24no—
253C2×C4×C139—24no—
254C2×C4×C139—24no—
255C2×C4×C139—24no—
256C2×C4×C139—24no—
257C2×C4×C139—24no—
258C2×C4×C139—44no—
259C2×C4×C139—48no—
260C2×C4×C139—44no—
261C2×C4×C139—48no—
262C2×C4×C139—48no—
263C2×C4×C139—88no—
264C2×C4×C139C23×C412yes—
265C2×C4×C139C23×C412yes—
266C2×C4×C139C23×C412yes—
267C2×C4×C139C23×C412yes—
268C2×C4×C139C23×C412yes—
269C2×C4×C139C23×C412yes—
270C2×C4×C139C23×C414yes—
271C2×C4×C139C23×C414yes—
272C2×C4×C139C23×C414yes—
273C2×C4×C139C2×#4118yes—
274C22×C139—22no—
275C22×C139—22no—
276C22×C139—24no—
277C22×C139—24no—
278C22×C139—24no—
279C22×C139—24no—
280C22×C139—24no—
281C22×C139—44no—
282C22×C139—44no—
283C22×C139C4×#4114yes—
284C22×C139C24×C411yescharacteristic
285C22×C139C22×#4112yes—
286C22×C139#58511yescharacteristic
287C22×C139#58512yes—
288C22×C139#58511yescharacteristic
289C4×C139—22no—
290C4×C139—22no—
291C4×C139—24no—
292C4×C139—22no—
293C4×C139—22no—
294C4×C139—24no—
295C4×C139—22no—
296C4×C139—22no—
297C4×C139—24no—
298C4×C139—28no—
299C4×C139—44no—
300C4×C139—44no—
301C4×C139—44no—
302C2×C139—24no—
303C2×C139—44no—
304C2×C139C2×C4×#4111yescharacteristic
305C2×C139#342811yescharacteristic
306C2×C139#342811yescharacteristic
307C2×C139#349112yes—
308C2×C139#349312yes—
309#34219C13911yesmaximal, characteristic, direct product factor, Sylow
310C139#3421911yescharacteristic, direct product factor, Sylow
311C2×#529C2×C13911yescharacteristic
312#2373C2×C13914yescomplemented
313#2372C2×C13912yescomplemented
314#2371C2×C13912yescomplemented
315#2356C2×C13912yescomplemented
316#2353C2×C13912yescomplemented
317#2346C2×C13912yescomplemented
318#2343C2×C13912yescomplemented
319#2329C2×C13912yescomplemented
320#2325C2×C13912yes—
321#2318C2×C13912yescomplemented
322C4×#123C2×C13914yescomplemented
323#2283C2×C13911yescharacteristic, complemented
324#2275C2×C13912yescomplemented
325C2×#376C2×C13911yescharacteristic, complemented
326#529C4×C139116yescomplemented
327C2×#126C22×C13912yes—
328C2×#125C22×C13911yescharacteristic
329C2×#124C22×C13911yescharacteristic
330C2×#123C22×C13912yes—
331C2×C22⋊Q8C22×C13911yescharacteristic
332C2×#121C22×C13911yescharacteristic
333C2×C4×Q8C22×C13911yescharacteristic
334C2×C4×D4C22×C13914yes—
335C2×C4×D4C22×C13912yes—
336C2×C4×D4C22×C13911yescharacteristic
337C2×#117C22×C13912yes—
338C22×C42C22×C13912yes—
339C22×C42C22×C13911yescharacteristic
340#391C22×C13914yes—
341#389C22×C13914yes—
342#388C22×C13914yes—
343#388C22×C13914yes—
344#388C22×C13914yes—
345#388C22×C13914yes—
346#387C22×C13914yes—
347#387C22×C13914yes—
348#387C22×C13914yes—
349#387C22×C13914yes—
350#387C22×C13914yes—
351#387C22×C13914yes—
352#386C22×C13914yes—
353#386C22×C13914yes—
354#385C22×C13914yes—
355#385C22×C13914yes—
356#383C22×C13912yes—
357#383C22×C13912yes—
358#382C22×C13912yes—
359#382C22×C13911yescharacteristic
360#382C22×C13911yescharacteristic
361#381C22×C13912yes—
362#381C22×C13912yes—
363#380C22×C13912yes—
364#380C22×C13912yes—
365C4×C4⋊C4C22×C13912yes—
366C4×C4⋊C4C22×C13914yes—
367C4×C4⋊C4C22×C13914yes—
368C4×C4⋊C4C22×C13914yes—
369C4×C4⋊C4C22×C13912yes—
370C4×C22⋊C4C22×C13912yes—
371C4×C22⋊C4C22×C13914yes—
372C4×C22⋊C4C22×C13914yes—
373C4×C22⋊C4C22×C13912yes—
374C4×C22⋊C4C22×C13914yes—
375C4×C22⋊C4C22×C13914yes—
376#376C22×C13912yes—
377#376C22×C13912yes—
378#376C22×C13912yes—
379#376C22×C13912yes—
380#376C22×C13912yes—
381#376C22×C13912yes—
382C2×#95C22×C13911yescharacteristic
383C2×#95C22×C13912yes—
384C2×#95C22×C13912yes—
385C2×#95C22×C13911yescharacteristic
386C22×Q8C23×C13911yescharacteristic
387C22×D4C23×C13912yes—
388C22×D4C23×C13911yescharacteristic
389C23×C4C23×C13911yescharacteristic
390C23×C4C23×C13914yes—
391C23×C4C23×C13912yes—
392C23×C4C23×C13912yes—
393C23×C4C23×C13911yescharacteristic
394C23×C4C23×C13911yescharacteristic
395C23×C4C23×C13912yes—
396#126C2×C4×C139116yescomplemented
397#125C2×C4×C13918yescomplemented
398#124C2×C4×C13918yescomplemented
399#123C2×C4×C139116yescomplemented
400C22⋊Q8C2×C4×C13918yescomplemented
401#121C2×C4×C13918yes—
402C4×Q8C2×C4×C13918yescomplemented
403C4×D4—216no—
404C4×D4C2×C4×C13918yescomplemented
405C4×D4C2×C4×C139116yescomplemented
406#117C2×C4×C139116yescomplemented
407C2×C4⋊C4C23×C13914yes—
408C2×C4⋊C4C23×C13912yes—
409C2×C4⋊C4C23×C13912yes—
410C2×C4⋊C4C23×C13914yes—
411C2×C4⋊C4C23×C13914yes—
412C2×C4⋊C4C23×C13912yes—
413C2×C4⋊C4C23×C13912yes—
414C2×C4⋊C4C23×C13911yescharacteristic
415C2×C4⋊C4C23×C13912yes—
416C2×C4⋊C4C23×C13911yescharacteristic
417C2×C4⋊C4C23×C13912yes—
418C2×C22⋊C4C23×C13914yes—
419C2×C22⋊C4C23×C13914yes—
420C2×C22⋊C4C23×C13914yes—
421C2×C22⋊C4C23×C13914yes—
422C2×C22⋊C4C23×C13912yes—
423C2×C22⋊C4C23×C13912yes—
424C2×C22⋊C4C23×C13912yes—
425C2×C22⋊C4C23×C13912yes—
426C2×C22⋊C4C23×C13912yes—
427C2×C42—28no—
428C2×C42C2×C4×C13918yescomplemented
429C2×C42C23×C13914yes—
430C2×C42C23×C13914yes—
431C2×C42C23×C13914yes—
432C2×C42C23×C13914yes—
433C2×C42C23×C13914yes—
434C2×C42C23×C13914yes—
435C2×C42C23×C13911yescharacteristic
436C2×C42C23×C13912yes—
437C2×C42C23×C13911yescharacteristic
438C2×C42C23×C13911yescharacteristic
439C2×C42C23×C13911yescharacteristic
440#95C23×C13912yes—
441#95C23×C13912yes—
442#95C23×C13912yes—
443#95C23×C13914yes—
444#95C23×C13914yes—
445#95C23×C13912yes—
446#95C23×C13912yes—
447#95C23×C13914yes—
448#95C23×C13912yes—
449#95C23×C13912yes—
450#95C23×C13914yes—
451#95C23×C13912yes—
452#95C23×C13914yes—
453#95C23×C13914yes—
454#95C23×C13914yes—
455#95C23×C13914yes—
456#95C23×C13914yes—
457#95C23×C13914yes—
458C24C24×C13912yes—
459C24C24×C13911yescharacteristic
460C2×Q8—41no—
461C2×Q8—41no—
462C2×Q8C22×C4×C13914yes—
463C2×D4—28no—
464C2×D4—41no—
465C2×D4—41no—
466C2×D4C22×C4×C13918yes—
467C2×D4C22×C4×C13914yes—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—28no—
471C22×C4—42no—
472C22×C4—44no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4C22×C4×C13914yes—
482C22×C4C22×C4×C13914yes—
483C22×C4C22×C4×C13914yes—
484C22×C4C22×C4×C13918yes—
485C22×C4#41×C13918yes—
486C22×C4C24×C13914yes—
487C22×C4C24×C13914yes—
488C22×C4C24×C13914yes—
489C22×C4C24×C13911yescharacteristic
490C22×C4C24×C13911yescharacteristic
491C22×C4C24×C13911yescharacteristic
492C22×C4C24×C13911yescharacteristic
493C22×C4C24×C13911yescharacteristic
494C22×C4C24×C13912yes—
495C22×C4C24×C13912yes—
496C22×C4C24×C13912yes—
497C22×C4C24×C13911yescharacteristic
498C22×C4C24×C13914yes—
499C4⋊C4—28no—
500C4⋊C4—44no—
501C4⋊C4—42no—
502C4⋊C4—42no—
503C4⋊C4—44no—
504C4⋊C4C22×C4×C13918yes—
505C4⋊C4C22×C4×C13918yes—
506C4⋊C4C22×C4×C13914yes—
507C4⋊C4C22×C4×C13918yes—
508C4⋊C4C22×C4×C13914yes—
509C4⋊C4C22×C4×C13918yes—
510C22⋊C4—28no—
511C22⋊C4—28no—
512C22⋊C4—44no—
513C22⋊C4—44no—
514C22⋊C4C22×C4×C13918yes—
515C22⋊C4C22×C4×C13918yes—
516C22⋊C4C22×C4×C13918yes—
517C22⋊C4C22×C4×C13918yes—
518C22⋊C4C22×C4×C13918yes—
519C42—28no—
520C42—28no—
521C42—28no—
522C42—44no—
523C42—44no—
524C42—44no—
525C42C22×C4×C13914yes—
526C42C22×C4×C13914yes—
527C42C22×C4×C13914yes—
528C42C22×C4×C13914yes—
529C42C22×C4×C13918yes—
530C23—21no—
531C23—22no—
532C23—21no—
533C23—24no—
534C23—22no—
535C23—24no—
536C23—22no—
537C23C23×C4×C13914yes—
538C23C23×C4×C13912yes—
539C23C2×#41×C13914yes—
540C23C25×C13911yescharacteristic
541Q8—44no—
542D4—216no—
543D4—44no—
544C2×C4—28no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—24no—
552C2×C4—24no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—24no—
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—44no—
569C2×C4—48no—
570C2×C4—44no—
571C2×C4—48no—
572C2×C4—48no—
573C2×C4—88no—
574C2×C4C23×C4×C13912yes—
575C2×C4C23×C4×C13912yes—
576C2×C4C23×C4×C13912yes—
577C2×C4C23×C4×C13912yes—
578C2×C4C23×C4×C13912yes—
579C2×C4C23×C4×C13912yes—
580C2×C4C23×C4×C13914yes—
581C2×C4C23×C4×C13914yes—
582C2×C4C23×C4×C13914yes—
583C2×C4C2×#41×C13918yes—
584C22—22no—
585C22—22no—
586C22—24no—
587C22—24no—
588C22—24no—
589C22—24no—
590C22—24no—
591C22—44no—
592C22—44no—
593C22C4×#41×C13914yes—
594C22C24×C4×C13911yescharacteristic
595C22C22×#41×C13912yes—
596C22#585×C13911yescharacteristic
597C22#585×C13912yes—
598C22#585×C13911yescharacteristic
599C4—22no—
600C4—22no—
601C4—24no—
602C4—22no—
603C4—22no—
604C4—22no—
605C4—24no—
606C4—22no—
607C4—24no—
608C4—28no—
609C4—44no—
610C4—44no—
611C4—44no—
612C2—24no—
613C2—44no—
614C2C2×C4×#41×C13911yescharacteristic
615C2#3428×C13911yescharacteristic
616C2#3428×C13911yescharacteristic
617C2#3491×C13912yes—
618C2#3493×C13912yes—
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#121×C139C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2373×C139C2semidirect
3. #2372×C139C2semidirect
4. #2371×C139C2semidirect
5. #2356×C139C2semidirect
6. #2353×C139C2semidirect
7. #2346×C139C2semidirect
8. #2343×C139C2semidirect
9. #2329×C139C2semidirect
11. #2318×C139C2semidirect
12. C4×#123×C139C2semidirect
13. #2283×C139C2semidirect
14. #2275×C139C2semidirect
15. C2×#376×C139C2semidirect
16. #529×C139C4semidirect
86. #126×C139C2×C4semidirect
87. #125×C139C2×C4semidirect
88. #124×C139C2×C4semidirect
89. #123×C139C2×C4semidirect
90. C22⋊Q8×C139C2×C4semidirect
92. C4×Q8×C139C2×C4semidirect
94. C4×D4×C139C2×C4semidirect
95. C4×D4×C139C2×C4semidirect
96. #117×C139C2×C4semidirect
118. C2×C42×C139C2×C4semidirect
309. #34219C139direct (N × H)
310. C139#34219direct (N × H)
312. #2373C2×C139semidirect
313. #2372C2×C139semidirect
314. #2371C2×C139semidirect
315. #2356C2×C139semidirect
316. #2353C2×C139semidirect
317. #2346C2×C139semidirect
318. #2343C2×C139semidirect
319. #2329C2×C139semidirect
321. #2318C2×C139semidirect
322. C4×#123C2×C139semidirect
323. #2283C2×C139semidirect
324. #2275C2×C139semidirect
325. C2×#376C2×C139semidirect
326. #529C4×C139semidirect
396. #126C2×C4×C139semidirect
397. #125C2×C4×C139semidirect
398. #124C2×C4×C139semidirect
399. #123C2×C4×C139semidirect
400. C22⋊Q8C2×C4×C139semidirect
402. C4×Q8C2×C4×C139semidirect
404. C4×D4C2×C4×C139semidirect
405. C4×D4C2×C4×C139semidirect
406. #117C2×C4×C139semidirect
428. C2×C42C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#529×C1392
#2373×C1392
#2372×C1392
#2371×C1392
#2356×C1392
#2353×C1392
#2346×C1392
#2343×C1392
#2329×C1392
#2325×C1392
#2318×C1392
C4×#123×C1392
#2283×C1392
#2275×C1392
C2×#376×C1392
#34219139