Finite Group Databasebeta

← C139×#26376 #48020972

Subgroups — C139×#26376 #48020972

Order 35584.

900 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#476×C139C211yesmaximal, characteristic
2C2×C4×SD16×C139C211yesmaximal, characteristic
3#2451×C139C211yesmaximal, characteristic, complemented
4D4×C4⋊C4×C139C211yesmaximal, characteristic
5#2096×C139C211yesmaximal, characteristic, complemented
6#2084×C139C211yesmaximal, characteristic, complemented
7#2066×C139C211yesmaximal, characteristic, complemented
8#2058×C139C211yesmaximal, characteristic, complemented
9#1941×C139C211yesmaximal, characteristic, complemented
10#1916×C139C211yesmaximal, characteristic, complemented
11#1877×C139C211yesmaximal, characteristic
12#1877×C139C211yesmaximal, characteristic
13#1865×C139C211yesmaximal, characteristic, complemented
14#1864×C139C211yesmaximal, characteristic
15#1864×C139C211yesmaximal, characteristic
16C22×SD16×C139C2211yescharacteristic
17C2×C4⋊Q8×C139C2211yescharacteristic
18C2×C4×Q8×C139C2211yescharacteristic
19C2×C4×D4×C139C2211yescharacteristic
20C2×C4×D4×C139C2211yescharacteristic
21C2×C4×D4×C139C2211yescharacteristic
22C22×C4⋊C4×C139—21no—
23#476×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#398×C139—21no—
39#395×C139—21no—
40#391×C139—21no—
41#391×C139C2211yescharacteristic
42#391×C139C2211yescharacteristic
43#389×C139C2211yescharacteristic
44#389×C139C2211yescharacteristic
45#389×C139C2211yescharacteristic
46#389×C139C2211yescharacteristic
47#387×C139—21no—
48#385×C139—21no—
49#385×C139—21no—
50#384×C139C2211yescharacteristic
51#380×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—
65C23×C4×C139—21no—
66C23×C4×C139—21no—
67C2×SD16×C139—22no—
68C2×SD16×C139—22no—
69C2×SD16×C139Q814yescomplemented
70C22×C8×C139C2311yescharacteristic
71C22×C8×C139C2311yescharacteristic
72C22×C8×C139C2311yescharacteristic
73C22×C8×C139C2311yescharacteristic
74C4⋊Q8×C139—22no—
75C4⋊Q8×C139—41no—
76C4×Q8×C139—22no—
77C4×Q8×C139—41no—
78C4×D4×C139—22no—
79C4×D4×C139—22no—
80C4×D4×C139—22no—
81C4×D4×C139—22no—
82C4×D4×C139—41no—
83C4×D4×C139—41no—
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—44no—
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×C42×C139—21no—
105C2×C42×C139C2311yescharacteristic
106C2×C42×C139C2311yescharacteristic
107C2×C42×C139C2311yescharacteristic
108#106×C139—22no—
109#106×C139—22no—
110#106×C139—22no—
111#106×C139—22no—
112#106×C139—41no—
113C4⋊C8×C139—22no—
114#103×C139—22no—
115#103×C139—22no—
116#103×C139—41no—
117#102×C139—22no—
118#102×C139—22no—
119#102×C139D414yes—
120C4×C8×C139—22no—
121#95×C139—21no—
122#95×C139—21no—
123#95×C139—21no—
124#95×C139—21no—
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—21no—
136C2×Q8×C139—21no—
137C2×Q8×C139—42no—
138C2×Q8×C139—42no—
139C2×Q8×C139—81no—
140C2×Q8×C139C2×Q812yes—
141C2×D4×C139—21no—
142C2×D4×C139—21no—
143C2×D4×C139—21no—
144C2×D4×C139C2×D412yes—
145C2×D4×C139C2×Q812yes—
146C2×D4×C139#4112yes—
147C22×C4×C139—24no—
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—21no—
155C22×C4×C139—42no—
156C22×C4×C139—42no—
157C22×C4×C139—42no—
158C22×C4×C139—42no—
159C22×C4×C139—42no—
160C22×C4×C139—42no—
161C22×C4×C139—81no—
162C22×C4×C139—81no—
163C22×C4×C139C2×D411yescharacteristic
164C22×C4×C139C2×D411yescharacteristic
165C22×C4×C139C2×D411yescharacteristic
166C22×C4×C139C2×D411yescharacteristic
167C22×C4×C139C2×D411yescharacteristic
168C22×C4×C139C2×D411yescharacteristic
169C22×C4×C139C2411yescharacteristic
170SD16×C139—28no—
171C2×C8×C139—21no—
172C2×C8×C139—21no—
173C2×C8×C139—21no—
174C2×C8×C139—21no—
175C2×C8×C139—21no—
176C2×C8×C139—21no—
177C2×C8×C139—21no—
178C2×C8×C139—21no—
179C2×C8×C139—21no—
180C2×C8×C139—21no—
181C2×C8×C139C2×D412yes—
182C2×C8×C139C2×Q812yes—
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—21no—
190C4⋊C4×C139—21no—
191C4⋊C4×C139—21no—
192C4⋊C4×C139—21no—
193C4⋊C4×C139—41no—
194C4⋊C4×C139—42no—
195C4⋊C4×C139—42no—
196C4⋊C4×C139—42no—
197C4⋊C4×C139—42no—
198C4⋊C4×C139—42no—
199C4⋊C4×C139—81no—
200C4⋊C4×C139—81no—
201C4⋊C4×C139—81no—
202C4⋊C4×C139SD1614yescomplemented
203C4⋊C4×C139C2×D412yes—
204C4⋊C4×C139#4112yes—
205C22⋊C4×C139—24no—
206C22⋊C4×C139—42no—
207C22⋊C4×C139—42no—
208C42×C139—21no—
209C42×C139—21no—
210C42×C139—21no—
211C42×C139—21no—
212C42×C139—21no—
213C42×C139—21no—
214C42×C139—42no—
215C23×C139—22no—
216C23×C139—22no—
217C23×C139—22no—
218C23×C139—41no—
219C23×C139—41no—
220C23×C139—41no—
221C23×C139—41no—
222C23×C139C22×D411yescharacteristic
223Q8×C139—22no—
224Q8×C139—22no—
225Q8×C139—41no—
226Q8×C139—41no—
227Q8×C139—84no—
228D4×C139—22no—
229D4×C139—22no—
230D4×C139—22no—
231D4×C139C22⋊Q814yes—
232C2×C4×C139—21no—
233C2×C4×C139—21no—
234C2×C4×C139—21no—
235C2×C4×C139—21no—
236C2×C4×C139—21no—
237C2×C4×C139—21no—
238C2×C4×C139—21no—
239C2×C4×C139—22no—
240C2×C4×C139—21no—
241C2×C4×C139—21no—
242C2×C4×C139—22no—
243C2×C4×C139—22no—
244C2×C4×C139—21no—
245C2×C4×C139—21no—
246C2×C4×C139—21no—
247C2×C4×C139—21no—
248C2×C4×C139—21no—
249C2×C4×C139—21no—
250C2×C4×C139—48no—
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—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—41no—
269C2×C4×C139—84no—
270C2×C4×C139—84no—
271C2×C4×C139C2×SD1612yes—
272C2×C4×C139C2×SD1612yes—
273C2×C4×C139C2×SD1612yes—
274C2×C4×C139C22×D411yescharacteristic
275C2×C4×C139C22×Q811yescharacteristic
276C2×C4×C139C2×#4111yescharacteristic
277C2×C4×C139C2×#4111yescharacteristic
278C2×C4×C139H(5,𝔽2)11yescharacteristic
279C2×C4×C1392−1+411yescharacteristic
280C8×C139—22no—
281C8×C139—22no—
282C8×C139—41no—
283C8×C139—41no—
284C22×C139—24no—
285C22×C139—42no—
286C22×C139—42no—
287C22×C139—42no—
288C22×C139—42no—
289C22×C139—42no—
290C22×C139—42no—
291C22×C139#52511yescharacteristic
292C22×C139D4211yescharacteristic
293C22×C139D4×Q811yescharacteristic
294C22×C139C22×SD1611yescharacteristic
295C22×C139#57511yescharacteristic
296C22×C139#57711yescharacteristic
297C22×C139#57711yescharacteristic
298C4×C139—22no—
299C4×C139—22no—
300C4×C139—22no—
301C4×C139—42no—
302C4×C139—41no—
303C4×C139—42no—
304C4×C139—41no—
305C4×C139—41no—
306C4×C139—42no—
307C4×C139—81no—
308C4×C139—81no—
309C4×C139—81no—
310C4×C139—81no—
311C4×C139C2×C22⋊Q811yescharacteristic
312C4×C139#53911yescharacteristic
313C4×C139#54711yescharacteristic
314C4×C139#55411yescharacteristic
315C2×C139—44no—
316C2×C139#244911yescharacteristic
317C2×C139#310111yescharacteristic
318C2×C139#312511yescharacteristic
319C2×C139#326711yescharacteristic
320C2×C139D4×SD1611yescharacteristic
321C2×C139Q8×SD1611yescharacteristic
322C2×C139#338811yescharacteristic
323#26376C13911yesmaximal, characteristic, direct product factor, Sylow
324C139#2637611yescharacteristic, direct product factor, Sylow
325C2×#476C2×C13911yescharacteristic
326C2×C4×SD16C2×C13911yescharacteristic
327#2451C2×C13911yescharacteristic, complemented
328D4×C4⋊C4C2×C13911yescharacteristic
329#2096C2×C13911yescharacteristic, complemented
330#2084C2×C13911yescharacteristic, complemented
331#2066C2×C13911yescharacteristic, complemented
332#2058C2×C13911yescharacteristic, complemented
333#1941C2×C13911yescharacteristic, complemented
334#1916C2×C13911yescharacteristic, complemented
335#1877C2×C13911yescharacteristic
336#1877C2×C13911yescharacteristic
337#1865C2×C13911yescharacteristic, complemented
338#1864C2×C13911yescharacteristic
339#1864C2×C13911yescharacteristic
340C22×SD16C22×C13911yescharacteristic
341C2×C4⋊Q8C22×C13911yescharacteristic
342C2×C4×Q8C22×C13911yescharacteristic
343C2×C4×D4C22×C13911yescharacteristic
344C2×C4×D4C22×C13911yescharacteristic
345C2×C4×D4C22×C13911yescharacteristic
346C22×C4⋊C4—21no—
347#476—24no—
348C4×SD16—24no—
349C2×#106C22×C13911yescharacteristic
350C2×#106C22×C13911yescharacteristic
351C2×#106C22×C13911yescharacteristic
352C2×#106C22×C13911yescharacteristic
353C2×#106C22×C13911yescharacteristic
354C2×C4⋊C8C22×C13911yescharacteristic
355C2×#103C22×C13911yescharacteristic
356C2×#103C22×C13911yescharacteristic
357C2×#103C22×C13911yescharacteristic
358C2×#102C22×C13911yescharacteristic
359C2×#102C22×C13911yescharacteristic
360C2×#102C22×C13911yescharacteristic
361C2×C4×C8C22×C13911yescharacteristic
362#398—21no—
363#395—21no—
364#391—21no—
365#391C22×C13911yescharacteristic
366#391C22×C13911yescharacteristic
367#389C22×C13911yescharacteristic
368#389C22×C13911yescharacteristic
369#389C22×C13911yescharacteristic
370#389C22×C13911yescharacteristic
371#387—21no—
372#385—21no—
373#385—21no—
374#384C22×C13911yescharacteristic
375#380—21no—
376C4×C4⋊C4C22×C13911yescharacteristic
377#340C22×C13911yescharacteristic
378#340C22×C13911yescharacteristic
379#340C22×C13911yescharacteristic
380#340C22×C13911yescharacteristic
381#336C22×C13911yescharacteristic
382#336C22×C13911yescharacteristic
383#336C22×C13911yescharacteristic
384#336C22×C13911yescharacteristic
385C22×Q8—21no—
386C22×Q8C23×C13911yescharacteristic
387C22×D4C23×C13911yescharacteristic
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C2×SD16—22no—
392C2×SD16—22no—
393C2×SD16Q8×C13914yescomplemented
394C22×C8C23×C13911yescharacteristic
395C22×C8C23×C13911yescharacteristic
396C22×C8C23×C13911yescharacteristic
397C22×C8C23×C13911yescharacteristic
398C4⋊Q8—22no—
399C4⋊Q8—41no—
400C4×Q8—22no—
401C4×Q8—41no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—22no—
406C4×D4—41no—
407C4×D4—41no—
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⋊C4—21no—
416C2×C4⋊C4—44no—
417C2×C4⋊C4D4×C13911yescharacteristic
418C2×C4⋊C4D4×C13911yescharacteristic
419C2×C4⋊C4C23×C13911yescharacteristic
420C2×C4⋊C4C23×C13911yescharacteristic
421C2×C4⋊C4C23×C13911yescharacteristic
422C2×C4⋊C4C23×C13911yescharacteristic
423C2×C4⋊C4C23×C13911yescharacteristic
424C2×C4⋊C4C23×C13911yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42C23×C13911yescharacteristic
430C2×C42C23×C13911yescharacteristic
431C2×C42C23×C13911yescharacteristic
432#106—22no—
433#106—22no—
434#106—22no—
435#106—22no—
436#106—41no—
437C4⋊C8—22no—
438#103—22no—
439#103—22no—
440#103—41no—
441#102—22no—
442#102—22no—
443#102D4×C13914yes—
444C4×C8—22no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95D4×C13911yescharacteristic
454#95D4×C13911yescharacteristic
455C24—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—81no—
464C2×Q8C2×Q8×C13912yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×D4×C13912yes—
469C2×D4C2×Q8×C13912yes—
470C2×D4#41×C13912yes—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4C2×D4×C13911yescharacteristic
488C22×C4C2×D4×C13911yescharacteristic
489C22×C4C2×D4×C13911yescharacteristic
490C22×C4C2×D4×C13911yescharacteristic
491C22×C4C2×D4×C13911yescharacteristic
492C22×C4C2×D4×C13911yescharacteristic
493C22×C4C24×C13911yescharacteristic
494SD16—28no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8C2×D4×C13912yes—
506C2×C8C2×Q8×C13912yes—
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—21no—
517C4⋊C4—41no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4SD16×C13914yescomplemented
527C4⋊C4C2×D4×C13912yes—
528C4⋊C4#41×C13912yes—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23C22×D4×C13911yescharacteristic
547Q8—22no—
548Q8—22no—
549Q8—41no—
550Q8—41no—
551Q8—84no—
552D4—22no—
553D4—22no—
554D4—22no—
555D4C22⋊Q8×C13914yes—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—48no—
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—41no—
593C2×C4—84no—
594C2×C4—84no—
595C2×C4C2×SD16×C13912yes—
596C2×C4C2×SD16×C13912yes—
597C2×C4C2×SD16×C13912yes—
598C2×C4C22×D4×C13911yescharacteristic
599C2×C4C22×Q8×C13911yescharacteristic
600C2×C4C2×#41×C13911yescharacteristic
601C2×C4C2×#41×C13911yescharacteristic
602C2×C4H(5,𝔽2)×C13911yescharacteristic
603C2×C42−1+4×C13911yescharacteristic
604C8—22no—
605C8—22no—
606C8—41no—
607C8—41no—
608C22—24no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22#525×C13911yescharacteristic
616C22D42×C13911yescharacteristic
617C22D4×Q8×C13911yescharacteristic
618C22C22×SD16×C13911yescharacteristic
619C22#575×C13911yescharacteristic
620C22#577×C13911yescharacteristic
621C22#577×C13911yescharacteristic
622C4—22no—
623C4—22no—
624C4—22no—
625C4—42no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4C2×C22⋊Q8×C13911yescharacteristic
636C4#539×C13911yescharacteristic
637C4#547×C13911yescharacteristic
638C4#554×C13911yescharacteristic
639C2—44no—
640C2#2449×C13911yescharacteristic
641C2#3101×C13911yescharacteristic
642C2#3125×C13911yescharacteristic
643C2#3267×C13911yescharacteristic
644C2D4×SD16×C13911yescharacteristic
645C2Q8×SD16×C13911yescharacteristic
646C2#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
3. #2451×C139C2semidirect
5. #2096×C139C2semidirect
6. #2084×C139C2semidirect
7. #2066×C139C2semidirect
8. #2058×C139C2semidirect
9. #1941×C139C2semidirect
10. #1916×C139C2semidirect
13. #1865×C139C2semidirect
69. C2×SD16×C139Q8semidirect
202. C4⋊C4×C139SD16semidirect
323. #26376C139direct (N × H)
324. C139#26376direct (N × H)
327. #2451C2×C139semidirect
329. #2096C2×C139semidirect
330. #2084C2×C139semidirect
331. #2066C2×C139semidirect
332. #2058C2×C139semidirect
333. #1941C2×C139semidirect
334. #1916C2×C139semidirect
337. #1865C2×C139semidirect
393. C2×SD16Q8×C139semidirect
526. C4⋊C4SD16×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#476×C1392
C2×C4×SD16×C1392
#2451×C1392
D4×C4⋊C4×C1392
#2096×C1392
#2084×C1392
#2066×C1392
#2058×C1392
#1941×C1392
#1916×C1392
#1877×C1392
#1865×C1392
#1864×C1392
#26376139