Finite Group Databasebeta

← C139×#26373 #48020969

Subgroups — C139×#26373 #48020969

Order 35584.

864 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
1C2×#475×C139C211yesmaximal, characteristic, complemented
2C2×C4×SD16×C139C211yesmaximal, characteristic
3#2452×C139C211yesmaximal, characteristic
4Q8×C4⋊C4×C139C211yesmaximal, characteristic, complemented
5#2094×C139C211yesmaximal, characteristic
6#2084×C139C211yesmaximal, characteristic, complemented
7#2065×C139C211yesmaximal, characteristic
8#2058×C139C211yesmaximal, characteristic, complemented
9#1941×C139C211yesmaximal, characteristic, complemented
10#1916×C139C211yesmaximal, characteristic, complemented
11#1880×C139C211yesmaximal, characteristic
12#1880×C139C211yesmaximal, characteristic
13#1865×C139C211yesmaximal, characteristic, complemented
14#1865×C139C211yesmaximal, characteristic, complemented
15#1864×C139C211yesmaximal, characteristic
16C22×SD16×C139C2211yescharacteristic
17C2×C4⋊Q8×C139C2211yescharacteristic
18C2×C22⋊Q8×C139—21no—
19C2×C4×Q8×C139C2211yescharacteristic
20C2×C4×Q8×C139C2211yescharacteristic
21C2×C4×Q8×C139C2211yescharacteristic
22C2×C4×D4×C139C2211yescharacteristic
23#475×C139—24no—
24C4×SD16×C139—24no—
25C2×#106×C139C2211yescharacteristic
26C2×#106×C139C2211yescharacteristic
27C2×#106×C139C2211yescharacteristic
28C2×#106×C139C2211yescharacteristic
29C2×#106×C139C2211yescharacteristic
30C2×C4⋊C8×C139C2211yescharacteristic
31C2×#103×C139C2211yescharacteristic
32C2×#103×C139C2211yescharacteristic
33C2×#103×C139C2211yescharacteristic
34C2×#102×C139C2211yescharacteristic
35C2×#102×C139C2211yescharacteristic
36C2×#102×C139C2211yescharacteristic
37C2×C4×C8×C139C2211yescharacteristic
38#396×C139—21no—
39#393×C139—21no—
40#390×C139C2211yescharacteristic
41#390×C139C2211yescharacteristic
42#389×C139—21no—
43#389×C139—21no—
44#389×C139C2211yescharacteristic
45#389×C139C2211yescharacteristic
46#389×C139C2211yescharacteristic
47#389×C139C2211yescharacteristic
48#385×C139—21no—
49#384×C139—21no—
50#384×C139C2211yescharacteristic
51C4×C4⋊C4×C139—21no—
52C4×C4⋊C4×C139C2211yescharacteristic
53#340×C139C2211yescharacteristic
54#340×C139C2211yescharacteristic
55#340×C139C2211yescharacteristic
56#340×C139C2211yescharacteristic
57#336×C139C2211yescharacteristic
58#336×C139C2211yescharacteristic
59#336×C139C2211yescharacteristic
60#336×C139C2211yescharacteristic
61C22×Q8×C139—21no—
62C22×Q8×C139C2311yescharacteristic
63C22×D4×C139C2311yescharacteristic
64C23×C4×C139—21no—
65C2×SD16×C139—22no—
66C2×SD16×C139—22no—
67C2×SD16×C139Q814yescomplemented
68C22×C8×C139C2311yescharacteristic
69C22×C8×C139C2311yescharacteristic
70C22×C8×C139C2311yescharacteristic
71C22×C8×C139C2311yescharacteristic
72C4⋊Q8×C139—22no—
73C4⋊Q8×C139—41no—
74C22⋊Q8×C139—44no—
75C4×Q8×C139—22no—
76C4×Q8×C139—22no—
77C4×Q8×C139—22no—
78C4×Q8×C139—22no—
79C4×Q8×C139—41no—
80C4×Q8×C139—41no—
81C4×D4×C139—22no—
82C4×D4×C139—41no—
83C2×C4⋊C4×C139—21no—
84C2×C4⋊C4×C139—21no—
85C2×C4⋊C4×C139—21no—
86C2×C4⋊C4×C139—21no—
87C2×C4⋊C4×C139—21no—
88C2×C4⋊C4×C139—21no—
89C2×C4⋊C4×C139—21no—
90C2×C4⋊C4×C139—21no—
91C2×C4⋊C4×C139—21no—
92C2×C4⋊C4×C139—21no—
93C2×C4⋊C4×C139D411yescharacteristic
94C2×C4⋊C4×C139D411yescharacteristic
95C2×C4⋊C4×C139C2311yescharacteristic
96C2×C4⋊C4×C139C2311yescharacteristic
97C2×C4⋊C4×C139C2311yescharacteristic
98C2×C4⋊C4×C139C2311yescharacteristic
99C2×C4⋊C4×C139C2311yescharacteristic
100C2×C4⋊C4×C139C2311yescharacteristic
101C2×C22⋊C4×C139—21no—
102C2×C22⋊C4×C139—21no—
103C2×C22⋊C4×C139—21no—
104C2×C22⋊C4×C139—21no—
105C2×C22⋊C4×C139—21no—
106C2×C42×C139—21no—
107C2×C42×C139—21no—
108C2×C42×C139—21no—
109C2×C42×C139C2311yescharacteristic
110C2×C42×C139C2311yescharacteristic
111C2×C42×C139C2311yescharacteristic
112#106×C139—22no—
113#106×C139—22no—
114#106×C139—22no—
115#106×C139—22no—
116#106×C139—41no—
117C4⋊C8×C139—22no—
118#103×C139—22no—
119#103×C139—22no—
120#103×C139D414yes—
121#102×C139—22no—
122#102×C139—22no—
123#102×C139—41no—
124C4×C8×C139—22no—
125#95×C139—21no—
126#95×C139—21no—
127#95×C139—21no—
128#95×C139—21no—
129#95×C139D411yescharacteristic
130#95×C139D411yescharacteristic
131C24×C139—21no—
132C2×Q8×C139—21no—
133C2×Q8×C139—21no—
134C2×Q8×C139—21no—
135C2×Q8×C139—42no—
136C2×Q8×C139—42no—
137C2×Q8×C139—81no—
138C2×Q8×C139C2×D412yes—
139C2×Q8×C139C2×Q812yes—
140C2×Q8×C139#4112yes—
141C2×D4×C139—21no—
142C2×D4×C139—21no—
143C2×D4×C139—21no—
144C2×D4×C139—21no—
145C2×D4×C139—21no—
146C2×D4×C139C2×Q812yes—
147C22×C4×C139—21no—
148C22×C4×C139—21no—
149C22×C4×C139—21no—
150C22×C4×C139—21no—
151C22×C4×C139—21no—
152C22×C4×C139—21no—
153C22×C4×C139—21no—
154C22×C4×C139—42no—
155C22×C4×C139—42no—
156C22×C4×C139—81no—
157C22×C4×C139C2×D411yescharacteristic
158C22×C4×C139C2×D411yescharacteristic
159C22×C4×C139C2×D411yescharacteristic
160C22×C4×C139C2×D411yescharacteristic
161C22×C4×C139C2×D411yescharacteristic
162C22×C4×C139C2×D411yescharacteristic
163C22×C4×C139C2411yescharacteristic
164SD16×C139—28no—
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—21no—
172C2×C8×C139—21no—
173C2×C8×C139—21no—
174C2×C8×C139—21no—
175C2×C8×C139C2×D412yes—
176C2×C8×C139C2×Q812yes—
177C4⋊C4×C139—24no—
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—41no—
189C4⋊C4×C139—42no—
190C4⋊C4×C139—42no—
191C4⋊C4×C139—42no—
192C4⋊C4×C139—42no—
193C4⋊C4×C139—42no—
194C4⋊C4×C139—42no—
195C4⋊C4×C139—81no—
196C4⋊C4×C139—81no—
197C4⋊C4×C139—81no—
198C4⋊C4×C139SD1614yescomplemented
199C4⋊C4×C139C2×D412yes—
200C4⋊C4×C139#4112yes—
201C22⋊C4×C139—42no—
202C22⋊C4×C139—42no—
203C22⋊C4×C139—42no—
204C22⋊C4×C139—42no—
205C22⋊C4×C139—81no—
206C42×C139—24no—
207C42×C139—21no—
208C42×C139—21no—
209C42×C139—21no—
210C42×C139—21no—
211C42×C139—21no—
212C42×C139—21no—
213C42×C139—42no—
214C42×C139—42no—
215C23×C139—22no—
216C23×C139—41no—
217C23×C139—41no—
218C23×C139—41no—
219C23×C139—41no—
220C23×C139—41no—
221C23×C139—41no—
222C23×C139C22×D411yescharacteristic
223Q8×C139—22no—
224Q8×C139—22no—
225Q8×C139—22no—
226Q8×C139—84no—
227Q8×C139C22⋊Q814yescomplemented
228D4×C139—22no—
229D4×C139—22no—
230D4×C139—41no—
231D4×C139—41no—
232C2×C4×C139—21no—
233C2×C4×C139—22no—
234C2×C4×C139—21no—
235C2×C4×C139—21no—
236C2×C4×C139—22no—
237C2×C4×C139—22no—
238C2×C4×C139—21no—
239C2×C4×C139—21no—
240C2×C4×C139—21no—
241C2×C4×C139—21no—
242C2×C4×C139—22no—
243C2×C4×C139—21no—
244C2×C4×C139—21no—
245C2×C4×C139—22no—
246C2×C4×C139—21no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—21no—
250C2×C4×C139—21no—
251C2×C4×C139—21no—
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—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—84no—
269C2×C4×C139C2×SD1612yes—
270C2×C4×C139C2×SD1612yes—
271C2×C4×C139C2×SD1612yes—
272C2×C4×C139C22×D411yescharacteristic
273C2×C4×C139C22×Q811yescharacteristic
274C2×C4×C139C2×#4111yescharacteristic
275C2×C4×C139C2×#4111yescharacteristic
276C2×C4×C139H(5,𝔽2)11yescharacteristic
277C2×C4×C1392−1+411yescharacteristic
278C8×C139—22no—
279C8×C139—22no—
280C8×C139—41no—
281C8×C139—41no—
282C22×C139—42no—
283C22×C139—42no—
284C22×C139—42no—
285C22×C139—81no—
286C22×C139—81no—
287C22×C139—81no—
288C22×C139—81no—
289C22×C139#52511yescharacteristic
290C22×C139D4211yescharacteristic
291C22×C139D4×Q811yescharacteristic
292C22×C139C22×SD1611yescharacteristic
293C22×C139#57511yescharacteristic
294C22×C139#57711yescharacteristic
295C22×C139#57711yescharacteristic
296C4×C139—22no—
297C4×C139—24no—
298C4×C139—22no—
299C4×C139—22no—
300C4×C139—41no—
301C4×C139—42no—
302C4×C139—41no—
303C4×C139—41no—
304C4×C139—42no—
305C4×C139—81no—
306C4×C139—81no—
307C4×C139—81no—
308C4×C139—81no—
309C4×C139C2×C22⋊Q811yescharacteristic
310C4×C139#53911yescharacteristic
311C4×C139#54711yescharacteristic
312C4×C139#55411yescharacteristic
313C2×C139—82no—
314C2×C139#244911yescharacteristic
315C2×C139#310311yescharacteristic
316C2×C139#312511yescharacteristic
317C2×C139#327111yescharacteristic
318C2×C139D4×SD1611yescharacteristic
319C2×C139Q8×SD1611yescharacteristic
320C2×C139#338811yescharacteristic
321#26373C13911yesmaximal, characteristic, direct product factor, Sylow
322C139#2637311yescharacteristic, direct product factor, Sylow
323C2×#475C2×C13911yescharacteristic, complemented
324C2×C4×SD16C2×C13911yescharacteristic
325#2452C2×C13911yescharacteristic
326Q8×C4⋊C4C2×C13911yescharacteristic, complemented
327#2094C2×C13911yescharacteristic
328#2084C2×C13911yescharacteristic, complemented
329#2065C2×C13911yescharacteristic
330#2058C2×C13911yescharacteristic, complemented
331#1941C2×C13911yescharacteristic, complemented
332#1916C2×C13911yescharacteristic, complemented
333#1880C2×C13911yescharacteristic
334#1880C2×C13911yescharacteristic
335#1865C2×C13911yescharacteristic, complemented
336#1865C2×C13911yescharacteristic, complemented
337#1864C2×C13911yescharacteristic
338C22×SD16C22×C13911yescharacteristic
339C2×C4⋊Q8C22×C13911yescharacteristic
340C2×C22⋊Q8—21no—
341C2×C4×Q8C22×C13911yescharacteristic
342C2×C4×Q8C22×C13911yescharacteristic
343C2×C4×Q8C22×C13911yescharacteristic
344C2×C4×D4C22×C13911yescharacteristic
345#475—24no—
346C4×SD16—24no—
347C2×#106C22×C13911yescharacteristic
348C2×#106C22×C13911yescharacteristic
349C2×#106C22×C13911yescharacteristic
350C2×#106C22×C13911yescharacteristic
351C2×#106C22×C13911yescharacteristic
352C2×C4⋊C8C22×C13911yescharacteristic
353C2×#103C22×C13911yescharacteristic
354C2×#103C22×C13911yescharacteristic
355C2×#103C22×C13911yescharacteristic
356C2×#102C22×C13911yescharacteristic
357C2×#102C22×C13911yescharacteristic
358C2×#102C22×C13911yescharacteristic
359C2×C4×C8C22×C13911yescharacteristic
360#396—21no—
361#393—21no—
362#390C22×C13911yescharacteristic
363#390C22×C13911yescharacteristic
364#389—21no—
365#389—21no—
366#389C22×C13911yescharacteristic
367#389C22×C13911yescharacteristic
368#389C22×C13911yescharacteristic
369#389C22×C13911yescharacteristic
370#385—21no—
371#384—21no—
372#384C22×C13911yescharacteristic
373C4×C4⋊C4—21no—
374C4×C4⋊C4C22×C13911yescharacteristic
375#340C22×C13911yescharacteristic
376#340C22×C13911yescharacteristic
377#340C22×C13911yescharacteristic
378#340C22×C13911yescharacteristic
379#336C22×C13911yescharacteristic
380#336C22×C13911yescharacteristic
381#336C22×C13911yescharacteristic
382#336C22×C13911yescharacteristic
383C22×Q8—21no—
384C22×Q8C23×C13911yescharacteristic
385C22×D4C23×C13911yescharacteristic
386C23×C4—21no—
387C2×SD16—22no—
388C2×SD16—22no—
389C2×SD16Q8×C13914yescomplemented
390C22×C8C23×C13911yescharacteristic
391C22×C8C23×C13911yescharacteristic
392C22×C8C23×C13911yescharacteristic
393C22×C8C23×C13911yescharacteristic
394C4⋊Q8—22no—
395C4⋊Q8—41no—
396C22⋊Q8—44no—
397C4×Q8—22no—
398C4×Q8—22no—
399C4×Q8—22no—
400C4×Q8—22no—
401C4×Q8—41no—
402C4×Q8—41no—
403C4×D4—22no—
404C4×D4—41no—
405C2×C4⋊C4—21no—
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—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4D4×C13911yescharacteristic
416C2×C4⋊C4D4×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×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42C23×C13911yescharacteristic
432C2×C42C23×C13911yescharacteristic
433C2×C42C23×C13911yescharacteristic
434#106—22no—
435#106—22no—
436#106—22no—
437#106—22no—
438#106—41no—
439C4⋊C8—22no—
440#103—22no—
441#103—22no—
442#103D4×C13914yes—
443#102—22no—
444#102—22no—
445#102—41no—
446C4×C8—22no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95D4×C13911yescharacteristic
452#95D4×C13911yescharacteristic
453C24—21no—
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—81no—
460C2×Q8C2×D4×C13912yes—
461C2×Q8C2×Q8×C13912yes—
462C2×Q8#41×C13912yes—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×Q8×C13912yes—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—81no—
479C22×C4C2×D4×C13911yescharacteristic
480C22×C4C2×D4×C13911yescharacteristic
481C22×C4C2×D4×C13911yescharacteristic
482C22×C4C2×D4×C13911yescharacteristic
483C22×C4C2×D4×C13911yescharacteristic
484C22×C4C2×D4×C13911yescharacteristic
485C22×C4C24×C13911yescharacteristic
486SD16—28no—
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×C8C2×D4×C13912yes—
498C2×C8C2×Q8×C13912yes—
499C4⋊C4—24no—
500C4⋊C4—21no—
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—41no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4SD16×C13914yescomplemented
521C4⋊C4C2×D4×C13912yes—
522C4⋊C4#41×C13912yes—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—81no—
528C42—24no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—42no—
536C42—42no—
537C23—22no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23C22×D4×C13911yescharacteristic
545Q8—22no—
546Q8—22no—
547Q8—22no—
548Q8—84no—
549Q8C22⋊Q8×C13914yescomplemented
550D4—22no—
551D4—22no—
552D4—41no—
553D4—41no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
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—84no—
591C2×C4C2×SD16×C13912yes—
592C2×C4C2×SD16×C13912yes—
593C2×C4C2×SD16×C13912yes—
594C2×C4C22×D4×C13911yescharacteristic
595C2×C4C22×Q8×C13911yescharacteristic
596C2×C4C2×#41×C13911yescharacteristic
597C2×C4C2×#41×C13911yescharacteristic
598C2×C4H(5,𝔽2)×C13911yescharacteristic
599C2×C42−1+4×C13911yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—42no—
605C22—42no—
606C22—42no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22#525×C13911yescharacteristic
612C22D42×C13911yescharacteristic
613C22D4×Q8×C13911yescharacteristic
614C22C22×SD16×C13911yescharacteristic
615C22#575×C13911yescharacteristic
616C22#577×C13911yescharacteristic
617C22#577×C13911yescharacteristic
618C4—22no—
619C4—22no—
620C4—22no—
621C4—24no—
622C4—42no—
623C4—41no—
624C4—42no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×C22⋊Q8×C13911yescharacteristic
632C4#539×C13911yescharacteristic
633C4#547×C13911yescharacteristic
634C4#554×C13911yescharacteristic
635C2—82no—
636C2#2449×C13911yescharacteristic
637C2#3103×C13911yescharacteristic
638C2#3125×C13911yescharacteristic
639C2#3271×C13911yescharacteristic
640C2D4×SD16×C13911yescharacteristic
641C2Q8×SD16×C13911yescharacteristic
642C2#3388×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C22×D4
commutator, Frattini, cosocleC22×C4C24×C139
prime radicalC22×D4×C139C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C139 ◁ C4×C4⋊C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#475×C139C2semidirect
4. Q8×C4⋊C4×C139C2semidirect
6. #2084×C139C2semidirect
8. #2058×C139C2semidirect
9. #1941×C139C2semidirect
10. #1916×C139C2semidirect
13. #1865×C139C2semidirect
14. #1865×C139C2semidirect
67. C2×SD16×C139Q8semidirect
198. C4⋊C4×C139SD16semidirect
227. Q8×C139C22⋊Q8semidirect
321. #26373C139direct (N × H)
322. C139#26373direct (N × H)
323. C2×#475C2×C139semidirect
326. Q8×C4⋊C4C2×C139semidirect
328. #2084C2×C139semidirect
330. #2058C2×C139semidirect
331. #1941C2×C139semidirect
332. #1916C2×C139semidirect
335. #1865C2×C139semidirect
336. #1865C2×C139semidirect
389. C2×SD16Q8×C139semidirect
520. C4⋊C4SD16×C139semidirect
549. Q8C22⋊Q8×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#475×C1392
C2×C4×SD16×C1392
#2452×C1392
Q8×C4⋊C4×C1392
#2094×C1392
#2084×C1392
#2065×C1392
#2058×C1392
#1941×C1392
#1916×C1392
#1880×C1392
#1865×C1392
#1864×C1392
#26373139