Finite Group Databasebeta

← C139×#24262 #48018858

Subgroups — C139×#24262 #48018858

Order 35584.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C139C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C139C212yesmaximal, complemented
3#2617×C139C212yesmaximal, complemented
4#2321×C139C211yesmaximal, characteristic, complemented
5#2044×C139C212yesmaximal, complemented
6#2021×C139C212yesmaximal, complemented
7#1964×C139C212yesmaximal, complemented
8#1799×C139C211yesmaximal, characteristic, complemented
9#1790×C139C212yesmaximal, complemented
10C2×H(5,𝔽2)×C139C2212yes—
11#547×C139—22no—
12#546×C139—24no—
13D42×C139—22no—
14#537×C139—21no—
15#534×C139—21no—
16#534×C139C2212yes—
17#532×C139—21no—
18C2×#121×C139—21no—
19C2×#121×C139C2212yes—
20C2×#120×C139C2211yescharacteristic
21C2×#120×C139C2214yescomplemented
22C2×C4×D4×C139C2211yescharacteristic
23C22×C22⋊C4×C139C2211yescharacteristic, complemented
24B(4,𝔽2)×C139—28no—
25C2×#99×C139C2212yes—
26C2×#99×C139C2214yescomplemented
27C2×#99×C139C2214yescomplemented
28#397×C139—22no—
29#394×C139—24no—
30#392×C139—22no—
31#390×C139—21no—
32#388×C139—21no—
33#388×C139—21no—
34#386×C139—21no—
35#386×C139C2211yescharacteristic
36#386×C139C2214yescomplemented
37#385×C139C2211yescharacteristic, complemented
38#380×C139C2212yescomplemented
39#379×C139C2211yescharacteristic, complemented
40C4×C22⋊C4×C139C2211yescharacteristic, complemented
41#342×C139C2212yescomplemented
42C25×C139C2311yescharacteristic
43H(5,𝔽2)×C139—24no—
44H(5,𝔽2)×C139—24no—
45H(5,𝔽2)×C139—44no—
46C2×#41×C139—22no—
47C2×#41×C139—24no—
48C22×D4×C139—22no—
49C22×D4×C139—24no—
50C22×D4×C139—21no—
51C22×D4×C139—21no—
52C22×D4×C139—24no—
53C22×D4×C139D412yescomplemented
54C22×D4×C139C2314yes—
55C22×D4×C139C2311yescharacteristic
56C23×C4×C139D411yescharacteristic, complemented
57C23×C4×C139C2311yescharacteristic
58C23×C4×C139C2311yescharacteristic
59C4⋊Q8×C139—21no—
60#127×C139—21no—
61#124×C139—22no—
62#123×C139—24no—
63#123×C139—24no—
64C22⋊Q8×C139—24no—
65#121×C139—22no—
66#121×C139—22no—
67#121×C139—24no—
68#121×C139—22no—
69#121×C139—22no—
70#121×C139—22no—
71#121×C139—22no—
72#121×C139—22no—
73#121×C139—22no—
74#120×C139—24no—
75#120×C139—24no—
76#120×C139—22no—
77#120×C139—28no—
78#120×C139—44no—
79#120×C139D414yescomplemented
80C4×D4×C139—22no—
81C4×D4×C139—22no—
82C4×D4×C139—22no—
83C4×D4×C139—22no—
84C2×C4⋊C4×C139—21no—
85C2×C4⋊C4×C139—22no—
86C2×C4⋊C4×C139—21no—
87C2×C4⋊C4×C139D412yescomplemented
88C2×C4⋊C4×C139D411yescharacteristic, complemented
89C2×C22⋊C4×C139—22no—
90C2×C22⋊C4×C139—21no—
91C2×C22⋊C4×C139—22no—
92C2×C22⋊C4×C139—24no—
93C2×C22⋊C4×C139—21no—
94C2×C22⋊C4×C139—21no—
95C2×C22⋊C4×C139—22no—
96C2×C22⋊C4×C139—21no—
97C2×C22⋊C4×C139—24no—
98C2×C22⋊C4×C139—21no—
99C2×C22⋊C4×C139—21no—
100C2×C22⋊C4×C139D411yescharacteristic, complemented
101C2×C22⋊C4×C139D414yescomplemented
102C2×C22⋊C4×C139C2314yes—
103C2×C22⋊C4×C139C2311yescharacteristic
104C2×C22⋊C4×C139C2311yescharacteristic
105C2×C22⋊C4×C139C2311yescharacteristic
106C2×C42×C139—21no—
107C2×C42×C139D411yescharacteristic, complemented
108#99×C139—24no—
109#99×C139—28no—
110#99×C139—44no—
111#95×C139—22no—
112#95×C139—24no—
113#95×C139—21no—
114#95×C139—21no—
115#95×C139—21no—
116C24×C139—22no—
117C24×C139—21no—
118C24×C139—22no—
119C24×C139—21no—
120C24×C139—22no—
121C24×C139—81no—
122C24×C139—81no—
123C24×C139C2×D414yes—
124C24×C139C2×D411yescharacteristic
125C24×C139C2×D412yescomplemented
126C24×C139C2411yescharacteristic
127#41×C139—48no—
128#41×C139—48no—
129#41×C139—44no—
130#41×C139—44no—
131C2×Q8×C139—22no—
132C2×D4×C139—22no—
133C2×D4×C139—22no—
134C2×D4×C139—24no—
135C2×D4×C139—22no—
136C2×D4×C139—24no—
137C2×D4×C139—24no—
138C2×D4×C139—24no—
139C2×D4×C139—24no—
140C2×D4×C139—24no—
141C2×D4×C139—24no—
142C2×D4×C139—22no—
143C2×D4×C139—22no—
144C2×D4×C139—24no—
145C2×D4×C139—22no—
146C2×D4×C139—22no—
147C2×D4×C139—48no—
148C2×D4×C139—48no—
149C2×D4×C139—44no—
150C2×D4×C139—44no—
151C2×D4×C139—48no—
152C2×D4×C139—82no—
153C2×D4×C139—82no—
154C2×D4×C139—81no—
155C2×D4×C139—81no—
156C2×D4×C139—84no—
157C2×D4×C139—84no—
158C2×D4×C139C2×D412yes—
159C2×D4×C139#4112yes—
160C22×C4×C139—22no—
161C22×C4×C139—24no—
162C22×C4×C139—21no—
163C22×C4×C139—21no—
164C22×C4×C139—21no—
165C22×C4×C139—21no—
166C22×C4×C139—22no—
167C22×C4×C139—21no—
168C22×C4×C139—24no—
169C22×C4×C139—81no—
170C22×C4×C139—81no—
171C22×C4×C139—81no—
172C22×C4×C139C2×D414yes—
173C22×C4×C139C2×D411yescharacteristic
174C22×C4×C139C2×D411yescharacteristic
175C22×C4×C139C2×D411yescharacteristic
176C22×C4×C139C2×D411yescharacteristic
177C22×C4×C139C2×D412yes—
178C22×C4×C139C2×D411yescharacteristic
179C22×C4×C139C2×D412yes—
180C4⋊C4×C139—22no—
181C4⋊C4×C139—22no—
182C4⋊C4×C139—22no—
183C4⋊C4×C139—22no—
184C4⋊C4×C139—22no—
185C4⋊C4×C139—82no—
186C4⋊C4×C139—81no—
187C22⋊C4×C139—24no—
188C22⋊C4×C139—24no—
189C22⋊C4×C139—22no—
190C22⋊C4×C139—21no—
191C22⋊C4×C139—24no—
192C22⋊C4×C139—22no—
193C22⋊C4×C139—24no—
194C22⋊C4×C139—24no—
195C22⋊C4×C139—24no—
196C22⋊C4×C139—22no—
197C22⋊C4×C139—24no—
198C22⋊C4×C139—48no—
199C22⋊C4×C139—41no—
200C22⋊C4×C139—41no—
201C22⋊C4×C139—42no—
202C22⋊C4×C139—81no—
203C22⋊C4×C139—81no—
204C22⋊C4×C139—81no—
205C22⋊C4×C139—84no—
206C22⋊C4×C139C2×D412yescomplemented
207C42×C139—21no—
208C42×C139—21no—
209C42×C139—81no—
210C23×C139—21no—
211C23×C139—21no—
212C23×C139—24no—
213C23×C139—22no—
214C23×C139—24no—
215C23×C139—24no—
216C23×C139—24no—
217C23×C139—41no—
218C23×C139—41no—
219C23×C139—41no—
220C23×C139—41no—
221C23×C139—41no—
222C23×C139—41no—
223C23×C139—41no—
224C23×C139—44no—
225C23×C139—41no—
226C23×C139—44no—
227C23×C139—44no—
228C23×C139—44no—
229C23×C139—44no—
230C23×C139—41no—
231C23×C139—41no—
232C23×C139—42no—
233C23×C139—82no—
234C23×C139—82no—
235C23×C139—84no—
236C23×C139—82no—
237C23×C139—82no—
238C23×C139#12112yes—
239C23×C139C22×D411yescharacteristic
240C23×C139C22×D412yes—
241C23×C139C22×D411yescharacteristic
242C23×C139C2×#4111yescharacteristic
243C23×C139H(5,𝔽2)12yes—
244Q8×C139—44no—
245D4×C139—24no—
246D4×C139—24no—
247D4×C139—44no—
248D4×C139—44no—
249D4×C139—48no—
250D4×C139—44no—
251D4×C139—44no—
252D4×C139—44no—
253D4×C139—44no—
254D4×C139—82no—
255D4×C139—82no—
256D4×C139—84no—
257D4×C139—82no—
258D4×C139—816no—
259C2×C4×C139—21no—
260C2×C4×C139—21no—
261C2×C4×C139—21no—
262C2×C4×C139—21no—
263C2×C4×C139—24no—
264C2×C4×C139—22no—
265C2×C4×C139—24no—
266C2×C4×C139—24no—
267C2×C4×C139—41no—
268C2×C4×C139—42no—
269C2×C4×C139—41no—
270C2×C4×C139—42no—
271C2×C4×C139—42no—
272C2×C4×C139—48no—
273C2×C4×C139—41no—
274C2×C4×C139—41no—
275C2×C4×C139—44no—
276C2×C4×C139—41no—
277C2×C4×C139—41no—
278C2×C4×C139—41no—
279C2×C4×C139—41no—
280C2×C4×C139—41no—
281C2×C4×C139—44no—
282C2×C4×C139—44no—
283C2×C4×C139—41no—
284C2×C4×C139—44no—
285C2×C4×C139—41no—
286C2×C4×C139—41no—
287C2×C4×C139—44no—
288C2×C4×C139—81no—
289C2×C4×C139#12011yescharacteristic
290C2×C4×C139#12011yescharacteristic
291C2×C4×C139#12012yes—
292C2×C4×C139#12112yes—
293C22×C139—21no—
294C22×C139—22no—
295C22×C139—21no—
296C22×C139—22no—
297C22×C139—22no—
298C22×C139—41no—
299C22×C139—41no—
300C22×C139—42no—
301C22×C139—42no—
302C22×C139—42no—
303C22×C139—48no—
304C22×C139—42no—
305C22×C139—41no—
306C22×C139—41no—
307C22×C139—44no—
308C22×C139—42no—
309C22×C139—44no—
310C22×C139—44no—
311C22×C139—81no—
312C22×C139—84no—
313C22×C139—84no—
314C22×C139—81no—
315C22×C139—81no—
316C22×C139—84no—
317C22×C139—81no—
318C22×C139—81no—
319C22×C139—164no—
320C22×C139C2×#12011yescharacteristic
321C22×C139C2×#12111yescharacteristic
322C22×C139#53511yescharacteristic
323C22×C139D4212yes—
324C22×C139#54612yes—
325C4×C139—22no—
326C4×C139—21no—
327C4×C139—21no—
328C4×C139—22no—
329C4×C139—42no—
330C4×C139—44no—
331C4×C139—41no—
332C4×C139—41no—
333C4×C139—81no—
334C4×C139—84no—
335C4×C139—81no—
336C2×C139—21no—
337C2×C139—22no—
338C2×C139—21no—
339C2×C139—22no—
340C2×C139—42no—
341C2×C139—82no—
342C2×C139—84no—
343C2×C139#240811yescharacteristic
344C2×C139#302611yescharacteristic
345C2×C139#302711yescharacteristic
346#24262C13911yesmaximal, characteristic, direct product factor, Sylow
347C139#2426211yescharacteristic, direct product factor, Sylow
348#3496C2×C13911yescharacteristic, complemented
349C2×B(4,𝔽2)C2×C13912yescomplemented
350#2617C2×C13912yescomplemented
351#2321C2×C13911yescharacteristic, complemented
352#2044C2×C13912yescomplemented
353#2021C2×C13912yescomplemented
354#1964C2×C13912yescomplemented
355#1799C2×C13911yescharacteristic, complemented
356#1790C2×C13912yescomplemented
357C2×H(5,𝔽2)C22×C13912yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C13912yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C13912yes—
367C2×#120C22×C13911yescharacteristic
368C2×#120C22×C13914yescomplemented
369C2×C4×D4C22×C13911yescharacteristic
370C22×C22⋊C4C22×C13911yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C13912yes—
373C2×#99C22×C13914yescomplemented
374C2×#99C22×C13914yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C13911yescharacteristic
383#386C22×C13914yescomplemented
384#385C22×C13911yescharacteristic, complemented
385#380C22×C13912yescomplemented
386#379C22×C13911yescharacteristic, complemented
387C4×C22⋊C4C22×C13911yescharacteristic, complemented
388#342C22×C13912yescomplemented
389C25C23×C13911yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C13912yescomplemented
401C22×D4C23×C13914yes—
402C22×D4C23×C13911yescharacteristic
403C23×C4D4×C13911yescharacteristic, complemented
404C23×C4C23×C13911yescharacteristic
405C23×C4C23×C13911yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C13914yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C13911yescharacteristic, complemented
435C2×C4⋊C4D4×C13912yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C13911yescharacteristic, complemented
448C2×C22⋊C4D4×C13914yescomplemented
449C2×C22⋊C4C23×C13914yes—
450C2×C22⋊C4C23×C13911yescharacteristic
451C2×C22⋊C4C23×C13911yescharacteristic
452C2×C22⋊C4C23×C13911yescharacteristic
453C2×C42—21no—
454C2×C42D4×C13911yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C13914yes—
471C24C2×D4×C13911yescharacteristic
472C24C2×D4×C13912yescomplemented
473C24C24×C13911yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C13912yes—
506C2×D4#41×C13912yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C13914yes—
520C22×C4C2×D4×C13911yescharacteristic
521C22×C4C2×D4×C13911yescharacteristic
522C22×C4C2×D4×C13911yescharacteristic
523C22×C4C2×D4×C13911yescharacteristic
524C22×C4C2×D4×C13912yes—
525C22×C4C2×D4×C13911yescharacteristic
526C22×C4C2×D4×C13912yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C13912yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C13912yes—
586C23C22×D4×C13911yescharacteristic
587C23C22×D4×C13912yes—
588C23C22×D4×C13911yescharacteristic
589C23C2×#41×C13911yescharacteristic
590C23H(5,𝔽2)×C13912yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C13911yescharacteristic
637C2×C4#120×C13911yescharacteristic
638C2×C4#120×C13912yes—
639C2×C4#121×C13912yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22—42no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C13911yescharacteristic
668C22C2×#121×C13911yescharacteristic
669C22#535×C13911yescharacteristic
670C22D42×C13912yes—
671C22#546×C13912yes—
672C4—21no—
673C4—21no—
674C4—22no—
675C4—22no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—44no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2#2408×C13911yescharacteristic
691C2#3026×C13911yescharacteristic
692C2#3027×C13911yescharacteristic
subgroupG/H
center, socleC22×C139C2×#120
commutator, Frattini, cosocleC24C24×C139
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C23×C4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C139C2semidirect
2. C2×B(4,𝔽2)×C139C2semidirect
3. #2617×C139C2semidirect
4. #2321×C139C2semidirect
5. #2044×C139C2semidirect
6. #2021×C139C2semidirect
7. #1964×C139C2semidirect
8. #1799×C139C2semidirect
9. #1790×C139C2semidirect
21. C2×#120×C139C22semidirect
23. C22×C22⋊C4×C139C22semidirect
26. C2×#99×C139C22semidirect
27. C2×#99×C139C22semidirect
36. #386×C139C22semidirect
37. #385×C139C22semidirect
38. #380×C139C22semidirect
39. #379×C139C22semidirect
40. C4×C22⋊C4×C139C22semidirect
41. #342×C139C22semidirect
53. C22×D4×C139D4semidirect
56. C23×C4×C139D4semidirect
79. #120×C139D4semidirect
87. C2×C4⋊C4×C139D4semidirect
88. C2×C4⋊C4×C139D4semidirect
100. C2×C22⋊C4×C139D4semidirect
101. C2×C22⋊C4×C139D4semidirect
107. C2×C42×C139D4semidirect
125. C24×C139C2×D4semidirect
206. C22⋊C4×C139C2×D4semidirect
346. #24262C139direct (N × H)
347. C139#24262direct (N × H)
348. #3496C2×C139semidirect
349. C2×B(4,𝔽2)C2×C139semidirect
350. #2617C2×C139semidirect
351. #2321C2×C139semidirect
352. #2044C2×C139semidirect
353. #2021C2×C139semidirect
354. #1964C2×C139semidirect
355. #1799C2×C139semidirect
356. #1790C2×C139semidirect
368. C2×#120C22×C139semidirect
370. C22×C22⋊C4C22×C139semidirect
373. C2×#99C22×C139semidirect
374. C2×#99C22×C139semidirect
383. #386C22×C139semidirect
384. #385C22×C139semidirect
385. #380C22×C139semidirect
386. #379C22×C139semidirect
387. C4×C22⋊C4C22×C139semidirect
388. #342C22×C139semidirect
400. C22×D4D4×C139semidirect
403. C23×C4D4×C139semidirect
426. #120D4×C139semidirect
434. C2×C4⋊C4D4×C139semidirect
435. C2×C4⋊C4D4×C139semidirect
447. C2×C22⋊C4D4×C139semidirect
448. C2×C22⋊C4D4×C139semidirect
454. C2×C42D4×C139semidirect
472. C24C2×D4×C139semidirect
553. C22⋊C4C2×D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3496×C1392
C2×B(4,𝔽2)×C1392
#2617×C1392
#2321×C1392
#2044×C1392
#2021×C1392
#1964×C1392
#1799×C1392
#1790×C1392
#24262139