Finite Group Databasebeta

← C2×#2200×C139 #48028144

Subgroups — C2×#2200×C139 #48028144

Order 35584.

1328 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#560×C139C211yesmaximal, characteristic, complemented
2C2×#458×C139C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C139C211yesmaximal, characteristic, complemented
4C2×#453×C139C211yesmaximal, characteristic, complemented
5#2200×C139C218yesmaximal, direct product factor
6C2×#353×C139C211yesmaximal, characteristic, complemented
7C2×#352×C139C211yesmaximal, characteristic, complemented
8C2×AΣL(1,𝔽16)×C139C211yesmaximal, characteristic, complemented
9C2×H(5,𝔽2)×C139C2211yescharacteristic
10C2×AGL(1,ℤ/8)×C139—21no—
11#560×C139—22no—
12#560×C139—22no—
13#560×C139—22no—
14#560×C139C2214yescomplemented
15C2×#127×C139C2211yescharacteristic
16C2×#126×C139—21no—
17C2×#123×C139—21no—
18C2×#123×C139—21no—
19C2×#123×C139C2211yescharacteristic
20C2×#121×C139—21no—
21C2×#121×C139—21no—
22C2×#121×C139—21no—
23C2×#120×C139—21no—
24C2×#120×C139—21no—
25C2×#120×C139C2211yescharacteristic
26#458×C139—22no—
27#458×C139C2214yescomplemented
28B(4,𝔽2)×C139—22no—
29B(4,𝔽2)×C139C2214yescomplemented
30#453×C139—22no—
31#453×C139C2214yescomplemented
32C2×#104×C139—21no—
33C2×#100×C139C2211yescharacteristic
34C2×#99×C139—21no—
35C2×#99×C139—21no—
36C2×#99×C139C2211yescharacteristic
37C2×#99×C139C2211yescharacteristic
38#353×C139C2214yescomplemented
39#352×C139C2214yescomplemented
40AΣL(1,𝔽16)×C139C2214yescomplemented
41C25×C139D411yescharacteristic
42H(5,𝔽2)×C139—21no—
43H(5,𝔽2)×C139—21no—
44H(5,𝔽2)×C139—21no—
45H(5,𝔽2)×C139—42no—
46H(5,𝔽2)×C139C2312yes—
47C2×#41×C139—21no—
48C2×#41×C139—41no—
49C22×D4×C139—21no—
50C22×D4×C139—21no—
51C22×D4×C139—21no—
52C22×D4×C139—21no—
53C22×D4×C139—21no—
54C22×D4×C139—21no—
55C22×D4×C139—21no—
56C22×D4×C139—41no—
57C22×D4×C139—41no—
58C22×D4×C139D411yescharacteristic, complemented
59C22×D4×C139C2311yescharacteristic
60C23×C4×C139—21no—
61C23×C4×C139D411yescharacteristic, complemented
62AGL(1,ℤ/8)×C139—24no—
63AGL(1,ℤ/8)×C139—42no—
64C2×SD16×C139—41no—
65C2×D8×C139—41no—
66C2×M16×C139—21no—
67#127×C139—21no—
68#127×C139—21no—
69#127×C139D412yescomplemented
70#127×C139C2312yes—
71#126×C139—24no—
72#126×C139—24no—
73#123×C139—24no—
74#123×C139—21no—
75#123×C139—21no—
76#123×C139—24no—
77#123×C139—24no—
78#123×C139—42no—
79#123×C139D412yescomplemented
80#123×C139C2312yes—
81#121×C139—24no—
82#121×C139—24no—
83#121×C139—24no—
84#121×C139—24no—
85#121×C139—24no—
86#121×C139—24no—
87#120×C139—24no—
88#120×C139—24no—
89#120×C139—21no—
90#120×C139—21no—
91#120×C139—24no—
92#120×C139—42no—
93#120×C139D412yes—
94#120×C139C2312yes—
95C2×C4⋊C4×C139—21no—
96C2×C4⋊C4×C139—21no—
97C2×C4⋊C4×C139—21no—
98C2×C4⋊C4×C139—41no—
99C2×C22⋊C4×C139—21no—
100C2×C22⋊C4×C139—21no—
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×C22⋊C4×C139—41no—
107C2×C22⋊C4×C139—41no—
108C2×C22⋊C4×C139D411yescharacteristic
109C2×C22⋊C4×C139D411yescharacteristic, complemented
110C2×C42×C139D411yescharacteristic, complemented
111#104×C139—24no—
112#100×C139—21no—
113#100×C139C2312yes—
114#99×C139—21no—
115#99×C139—21no—
116#99×C139—24no—
117#99×C139—24no—
118#99×C139C2312yes—
119#99×C139C2312yes—
120C24×C139—21no—
121C24×C139—21no—
122C24×C139—21no—
123C24×C139—21no—
124C24×C139—21no—
125C24×C139—41no—
126C24×C139—41no—
127C24×C139—82no—
128C24×C139C2×D411yescharacteristic
129C24×C139C2×D411yescharacteristic
130C24×C139C2×D412yes—
131#41×C139—22no—
132#41×C139—22no—
133#41×C139—42no—
134#41×C139—41no—
135#41×C139—42no—
136#41×C139—42no—
137#41×C139—42no—
138#41×C139—41no—
139C2×Q8×C139—21no—
140C2×D4×C139—21no—
141C2×D4×C139—22no—
142C2×D4×C139—22no—
143C2×D4×C139—22no—
144C2×D4×C139—22no—
145C2×D4×C139—24no—
146C2×D4×C139—24no—
147C2×D4×C139—22no—
148C2×D4×C139—22no—
149C2×D4×C139—22no—
150C2×D4×C139—22no—
151C2×D4×C139—22no—
152C2×D4×C139—22no—
153C2×D4×C139—21no—
154C2×D4×C139—41no—
155C2×D4×C139—41no—
156C2×D4×C139—41no—
157C2×D4×C139—41no—
158C2×D4×C139—42no—
159C2×D4×C139—42no—
160C2×D4×C139—41no—
161C2×D4×C139—41no—
162C2×D4×C139—41no—
163C2×D4×C139—41no—
164C2×D4×C139—42no—
165C2×D4×C139—42no—
166C2×D4×C139—41no—
167C2×D4×C139—41no—
168C2×D4×C139—41no—
169C2×D4×C139—44no—
170C2×D4×C139—82no—
171C2×D4×C139—82no—
172C2×D4×C139—82no—
173C2×D4×C139—82no—
174C2×D4×C139—81no—
175C2×D4×C139—81no—
176C2×D4×C139—84no—
177C2×D4×C139C2×D411yescharacteristic
178C2×D4×C139C2×D411yescharacteristic
179C2×D4×C139C2×D411yescharacteristic
180C2×D4×C139C2×D412yescomplemented
181C2×D4×C139C2411yescharacteristic
182C22×C4×C139—21no—
183C22×C4×C139—21no—
184C22×C4×C139—21no—
185C22×C4×C139—21no—
186C22×C4×C139—21no—
187C22×C4×C139—21no—
188C22×C4×C139—24no—
189C22×C4×C139—21no—
190C22×C4×C139—41no—
191C22×C4×C139—41no—
192C22×C4×C139—41no—
193C22×C4×C139—41no—
194C22×C4×C139—41no—
195C22×C4×C139—82no—
196C22×C4×C139C2×D411yescharacteristic
197C22×C4×C139C2×D412yescomplemented
198SD16×C139—44no—
199D8×C139—44no—
200M16×C139—22no—
201M16×C139—41no—
202C2×C8×C139—41no—
203C4⋊C4×C139—24no—
204C4⋊C4×C139—24no—
205C4⋊C4×C139—22no—
206C4⋊C4×C139—22no—
207C4⋊C4×C139—44no—
208C22⋊C4×C139—24no—
209C22⋊C4×C139—24no—
210C22⋊C4×C139—24no—
211C22⋊C4×C139—22no—
212C22⋊C4×C139—21no—
213C22⋊C4×C139—21no—
214C22⋊C4×C139—22no—
215C22⋊C4×C139—22no—
216C22⋊C4×C139—22no—
217C22⋊C4×C139—22no—
218C22⋊C4×C139—22no—
219C22⋊C4×C139—44no—
220C22⋊C4×C139—41no—
221C22⋊C4×C139—41no—
222C22⋊C4×C139—44no—
223C22⋊C4×C139C2×D412yes—
224C22⋊C4×C139C2×D412yescomplemented
225C42×C139—21no—
226C42×C139C2×D412yescomplemented
227C23×C139—21no—
228C23×C139—21no—
229C23×C139—21no—
230C23×C139—21no—
231C23×C139—22no—
232C23×C139—22no—
233C23×C139—22no—
234C23×C139—22no—
235C23×C139—42no—
236C23×C139—42no—
237C23×C139—42no—
238C23×C139—42no—
239C23×C139—42no—
240C23×C139—42no—
241C23×C139—42no—
242C23×C139—41no—
243C23×C139—41no—
244C23×C139—44no—
245C23×C139—41no—
246C23×C139—41no—
247C23×C139—41no—
248C23×C139—41no—
249C23×C139—41no—
250C23×C139—81no—
251C23×C139—82no—
252C23×C139—82no—
253C23×C139—82no—
254C23×C139—84no—
255C23×C139—82no—
256C23×C139—82no—
257C23×C139#12011yescharacteristic
258C23×C139#12011yescharacteristic
259C23×C139#12011yescharacteristic
260C23×C139C22×D411yescharacteristic
261C23×C139C22×D411yescharacteristic
262Q8×C139—22no—
263Q8×C139—41no—
264D4×C139—22no—
265D4×C139—41no—
266D4×C139—41no—
267D4×C139—41no—
268D4×C139—41no—
269D4×C139—42no—
270D4×C139—41no—
271D4×C139—42no—
272D4×C139—42no—
273D4×C139—42no—
274D4×C139—42no—
275D4×C139—42no—
276D4×C139—42no—
277D4×C139—81no—
278D4×C139—82no—
279D4×C139—82no—
280D4×C139—84no—
281D4×C139—82no—
282D4×C139—82no—
283D4×C139—82no—
284D4×C139—82no—
285D4×C139—84no—
286D4×C139—88no—
287C2×C4×C139—21no—
288C2×C4×C139—21no—
289C2×C4×C139—22no—
290C2×C4×C139—22no—
291C2×C4×C139—22no—
292C2×C4×C139—22no—
293C2×C4×C139—22no—
294C2×C4×C139—22no—
295C2×C4×C139—42no—
296C2×C4×C139—42no—
297C2×C4×C139—42no—
298C2×C4×C139—42no—
299C2×C4×C139—41no—
300C2×C4×C139—41no—
301C2×C4×C139—42no—
302C2×C4×C139—41no—
303C2×C4×C139—41no—
304C2×C4×C139—41no—
305C2×C4×C139—42no—
306C2×C4×C139—42no—
307C2×C4×C139—42no—
308C2×C4×C139—81no—
309C2×C4×C139—84no—
310C2×C4×C139—82no—
311C2×C4×C139—82no—
312C2×C4×C139#12011yescharacteristic
313C2×C4×C139C22×D411yescharacteristic
314C8×C139—42no—
315C22×C139—22no—
316C22×C139—21no—
317C22×C139—21no—
318C22×C139—21no—
319C22×C139—21no—
320C22×C139—41no—
321C22×C139—41no—
322C22×C139—41no—
323C22×C139—41no—
324C22×C139—42no—
325C22×C139—42no—
326C22×C139—42no—
327C22×C139—42no—
328C22×C139—42no—
329C22×C139—42no—
330C22×C139—44no—
331C22×C139—42no—
332C22×C139—42no—
333C22×C139—42no—
334C22×C139—81no—
335C22×C139—81no—
336C22×C139—82no—
337C22×C139—82no—
338C22×C139—82no—
339C22×C139—82no—
340C22×C139—82no—
341C22×C139—84no—
342C22×C139—82no—
343C22×C139—82no—
344C22×C139—82no—
345C22×C139—161no—
346C22×C139—161no—
347C22×C139B(4,𝔽2)11yescharacteristic
348C22×C139B(4,𝔽2)11yescharacteristic
349C22×C139C2×#12011yescharacteristic
350C4×C139—21no—
351C4×C139—21no—
352C4×C139—42no—
353C4×C139—42no—
354C4×C139—42no—
355C4×C139—42no—
356C4×C139—42no—
357C4×C139—82no—
358C4×C139—82no—
359C2×C139—21no—
360C2×C139—21no—
361C2×C139—41no—
362C2×C139—41no—
363C2×C139—41no—
364C2×C139—41no—
365C2×C139—82no—
366C2×C139—82no—
367C2×C139—82no—
368C2×C139#220012yesdirect product factor
369C2×C139C2×B(4,𝔽2)11yescharacteristic
370C2×#2200C13911yesmaximal, characteristic, direct product factor, Sylow
371C139C2×#220011yescharacteristic, direct product factor, Sylow
372C2×#560C2×C13911yescharacteristic, complemented
373C2×#458C2×C13911yescharacteristic, complemented
374C2×B(4,𝔽2)C2×C13911yescharacteristic, complemented
375C2×#453C2×C13911yescharacteristic, complemented
376#2200C2×C13918yesdirect product factor
377C2×#353C2×C13911yescharacteristic, complemented
378C2×#352C2×C13911yescharacteristic, complemented
379C2×AΣL(1,𝔽16)C2×C13911yescharacteristic, complemented
380C2×H(5,𝔽2)C22×C13911yescharacteristic
381C2×AGL(1,ℤ/8)—21no—
382#560—22no—
383#560—22no—
384#560—22no—
385#560C22×C13914yescomplemented
386C2×#127C22×C13911yescharacteristic
387C2×#126—21no—
388C2×#123—21no—
389C2×#123—21no—
390C2×#123C22×C13911yescharacteristic
391C2×#121—21no—
392C2×#121—21no—
393C2×#121—21no—
394C2×#120—21no—
395C2×#120—21no—
396C2×#120C22×C13911yescharacteristic
397#458—22no—
398#458C22×C13914yescomplemented
399B(4,𝔽2)—22no—
400B(4,𝔽2)C22×C13914yescomplemented
401#453—22no—
402#453C22×C13914yescomplemented
403C2×#104—21no—
404C2×#100C22×C13911yescharacteristic
405C2×#99—21no—
406C2×#99—21no—
407C2×#99C22×C13911yescharacteristic
408C2×#99C22×C13911yescharacteristic
409#353C22×C13914yescomplemented
410#352C22×C13914yescomplemented
411AΣL(1,𝔽16)C22×C13914yescomplemented
412C25D4×C13911yescharacteristic
413H(5,𝔽2)—21no—
414H(5,𝔽2)—21no—
415H(5,𝔽2)—21no—
416H(5,𝔽2)—42no—
417H(5,𝔽2)C23×C13912yes—
418C2×#41—21no—
419C2×#41—41no—
420C22×D4—21no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—41no—
428C22×D4—41no—
429C22×D4D4×C13911yescharacteristic, complemented
430C22×D4C23×C13911yescharacteristic
431C23×C4—21no—
432C23×C4D4×C13911yescharacteristic, complemented
433AGL(1,ℤ/8)—24no—
434AGL(1,ℤ/8)—42no—
435C2×SD16—41no—
436C2×D8—41no—
437C2×M16—21no—
438#127—21no—
439#127—21no—
440#127D4×C13912yescomplemented
441#127C23×C13912yes—
442#126—24no—
443#126—24no—
444#123—24no—
445#123—21no—
446#123—21no—
447#123—24no—
448#123—24no—
449#123—42no—
450#123D4×C13912yescomplemented
451#123C23×C13912yes—
452#121—24no—
453#121—24no—
454#121—24no—
455#121—24no—
456#121—24no—
457#121—24no—
458#120—24no—
459#120—24no—
460#120—21no—
461#120—21no—
462#120—24no—
463#120—42no—
464#120D4×C13912yes—
465#120C23×C13912yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—41no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—41no—
478C2×C22⋊C4—41no—
479C2×C22⋊C4D4×C13911yescharacteristic
480C2×C22⋊C4D4×C13911yescharacteristic, complemented
481C2×C42D4×C13911yescharacteristic, complemented
482#104—24no—
483#100—21no—
484#100C23×C13912yes—
485#99—21no—
486#99—21no—
487#99—24no—
488#99—24no—
489#99C23×C13912yes—
490#99C23×C13912yes—
491C24—21no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—21no—
496C24—41no—
497C24—41no—
498C24—82no—
499C24C2×D4×C13911yescharacteristic
500C24C2×D4×C13911yescharacteristic
501C24C2×D4×C13912yes—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—41no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—41no—
510C2×Q8—21no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—41no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—41no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—41no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—44no—
541C2×D4—82no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4—82no—
545C2×D4—81no—
546C2×D4—81no—
547C2×D4—84no—
548C2×D4C2×D4×C13911yescharacteristic
549C2×D4C2×D4×C13911yescharacteristic
550C2×D4C2×D4×C13911yescharacteristic
551C2×D4C2×D4×C13912yescomplemented
552C2×D4C24×C13911yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—21no—
561C22×C4—41no—
562C22×C4—41no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—82no—
567C22×C4C2×D4×C13911yescharacteristic
568C22×C4C2×D4×C13912yescomplemented
569SD16—44no—
570D8—44no—
571M16—22no—
572M16—41no—
573C2×C8—41no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—44no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—44no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4C2×D4×C13912yes—
595C22⋊C4C2×D4×C13912yescomplemented
596C42—21no—
597C42C2×D4×C13912yescomplemented
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—44no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—84no—
626C23—82no—
627C23—82no—
628C23#120×C13911yescharacteristic
629C23#120×C13911yescharacteristic
630C23#120×C13911yescharacteristic
631C23C22×D4×C13911yescharacteristic
632C23C22×D4×C13911yescharacteristic
633Q8—22no—
634Q8—41no—
635D4—22no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—42no—
641D4—41no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—84no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—84no—
657D4—88no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—81no—
680C2×C4—84no—
681C2×C4—82no—
682C2×C4—82no—
683C2×C4#120×C13911yescharacteristic
684C2×C4C22×D4×C13911yescharacteristic
685C8—42no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—81no—
706C22—81no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—84no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—161no—
717C22—161no—
718C22B(4,𝔽2)×C13911yescharacteristic
719C22B(4,𝔽2)×C13911yescharacteristic
720C22C2×#120×C13911yescharacteristic
721C4—21no—
722C4—21no—
723C4—42no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—82no—
729C4—82no—
730C2—21no—
731C2—21no—
732C2—41no—
733C2—41no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—82no—
739C2#2200×C13912yesdirect product factor
740C2C2×B(4,𝔽2)×C13911yescharacteristic
subgroupG/H
center, socleC22×C139B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C139
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22×C139 ◁ C23×C139 ◁ C22×D4×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#560×C139C2semidirect
2. C2×#458×C139C2semidirect
3. C2×B(4,𝔽2)×C139C2semidirect
4. C2×#453×C139C2semidirect
5. #2200×C139C2direct (N × H)
6. C2×#353×C139C2semidirect
7. C2×#352×C139C2semidirect
8. C2×AΣL(1,𝔽16)×C139C2semidirect
14. #560×C139C22semidirect
27. #458×C139C22semidirect
29. B(4,𝔽2)×C139C22semidirect
31. #453×C139C22semidirect
38. #353×C139C22semidirect
39. #352×C139C22semidirect
40. AΣL(1,𝔽16)×C139C22semidirect
58. C22×D4×C139D4semidirect
61. C23×C4×C139D4semidirect
69. #127×C139D4semidirect
79. #123×C139D4semidirect
109. C2×C22⋊C4×C139D4semidirect
110. C2×C42×C139D4semidirect
180. C2×D4×C139C2×D4semidirect
197. C22×C4×C139C2×D4semidirect
224. C22⋊C4×C139C2×D4semidirect
226. C42×C139C2×D4semidirect
368. C2×C139#2200direct (N × H)
370. C2×#2200C139direct (N × H)
371. C139C2×#2200direct (N × H)
372. C2×#560C2×C139semidirect
373. C2×#458C2×C139semidirect
374. C2×B(4,𝔽2)C2×C139semidirect
375. C2×#453C2×C139semidirect
376. #2200C2×C139direct (N × H)
377. C2×#353C2×C139semidirect
378. C2×#352C2×C139semidirect
379. C2×AΣL(1,𝔽16)C2×C139semidirect
385. #560C22×C139semidirect
398. #458C22×C139semidirect
400. B(4,𝔽2)C22×C139semidirect
402. #453C22×C139semidirect
409. #353C22×C139semidirect
410. #352C22×C139semidirect
411. AΣL(1,𝔽16)C22×C139semidirect
429. C22×D4D4×C139semidirect
432. C23×C4D4×C139semidirect
440. #127D4×C139semidirect
450. #123D4×C139semidirect
480. C2×C22⋊C4D4×C139semidirect
481. C2×C42D4×C139semidirect
551. C2×D4C2×D4×C139semidirect
568. C22×C4C2×D4×C139semidirect
595. C22⋊C4C2×D4×C139semidirect
597. C42C2×D4×C139semidirect
739. C2#2200×C139direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#560×C1392
C2×#458×C1392
C2×B(4,𝔽2)×C1392
C2×#453×C1392
#2200×C1392
C2×#353×C1392
C2×#352×C1392
C2×AΣL(1,𝔽16)×C1392
C2×#2200139