Finite Group Databasebeta

← C139×#33556 #48028152

Subgroups — C139×#33556 #48028152

Order 35584.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3540×C139C211yesmaximal, characteristic, complemented
2#3028×C139C211yesmaximal, characteristic, complemented
3#3025×C139C211yesmaximal, characteristic, complemented
4#3021×C139C211yesmaximal, characteristic, complemented
5#2200×C139C214yesmaximal, complemented
6#2198×C139C214yesmaximal, complemented
7#2128×C139C211yesmaximal, characteristic, complemented
8#2123×C139C211yesmaximal, characteristic, complemented
9#2120×C139C211yesmaximal, characteristic, complemented
10#585×C139C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C139—21no—
12H(3,𝔽4)×C139—21no—
13#560×C139C2212yescomplemented
14#559×C139C2212yescomplemented
15#556×C139—21no—
16#555×C139—21no—
17#551×C139—21no—
18#548×C139—21no—
19#546×C139—21no—
20#542×C139—22no—
21#542×C139—21no—
22#538×C139—22no—
23#536×C139—21no—
24#536×C139C2211yescharacteristic
25#535×C139C2211yescharacteristic
26#525×C139—21no—
27#525×C139—21no—
28#525×C139C2211yescharacteristic
29#458×C139—21no—
30#458×C139—22no—
31#458×C139C2212yescomplemented
32#458×C139C2214yescomplemented
33B(4,𝔽2)×C139—21no—
34B(4,𝔽2)×C139C2212yescomplemented
35#454×C139—22no—
36#453×C139C2214yes—
37#421×C139—21no—
38#413×C139C2211yescharacteristic
39#410×C139—21no—
40#410×C139—21no—
41#410×C139C2211yescharacteristic
42#410×C139C2211yescharacteristic
43#353×C139C2214yescomplemented
44#352×C139C2212yescomplemented
45#352×C139C2214yescomplemented
46AΣL(1,𝔽16)×C139C2212yescomplemented
472−1+4×C139—21no—
482−1+4×C139—41no—
49H(5,𝔽2)×C139—21no—
50H(5,𝔽2)×C139—21no—
51H(5,𝔽2)×C139—41no—
52H(5,𝔽2)×C139C2312yes—
53C2×#41×C139—21no—
54C2×#41×C139—21no—
55C2×#41×C139—21no—
56C2×#41×C139—21no—
57C2×#41×C139—42no—
58C2×#41×C139C2311yescharacteristic
59C22×Q8×C139D411yescharacteristic, complemented
60C22×D4×C139D411yescharacteristic, complemented
61C23×C4×C139D411yescharacteristic
62AGL(1,ℤ/8)×C139—24no—
63AGL(1,ℤ/8)×C139—42no—
64C2×SD16×C139—41no—
65C2×D8×C139—41no—
66C2×M16×C139—21no—
67C4⋊Q8×C139—21no—
68C4⋊Q8×C139—21no—
69C4⋊Q8×C139—41no—
70#127×C139C2312yes—
71#126×C139—22no—
72#126×C139—22no—
73#126×C139—22no—
74#124×C139—22no—
75#124×C139—21no—
76#124×C139—22no—
77#124×C139—22no—
78#124×C139—21no—
79#124×C139—22no—
80#124×C139—22no—
81#124×C139—41no—
82#124×C139D412yescomplemented
83#123×C139—22no—
84#123×C139—22no—
85#123×C139—22no—
86#123×C139—22no—
87#123×C139—24no—
88#123×C139D411yescharacteristic
89#123×C139D412yescomplemented
90#123×C139C2311yescharacteristic
91#123×C139C2312yes—
92C22⋊Q8×C139—21no—
93C22⋊Q8×C139—22no—
94C22⋊Q8×C139—22no—
95C22⋊Q8×C139—21no—
96C22⋊Q8×C139—21no—
97C22⋊Q8×C139—21no—
98C22⋊Q8×C139—42no—
99C22⋊Q8×C139—41no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—22no—
103#121×C139—21no—
104#121×C139—21no—
105#121×C139—22no—
106#121×C139—22no—
107#121×C139—41no—
108#120×C139—22no—
109#120×C139—22no—
110#120×C139—21no—
111#120×C139—21no—
112#120×C139—22no—
113#120×C139D411yescharacteristic
114#120×C139C2311yescharacteristic
115C4×Q8×C139—21no—
116C4×Q8×C139—22no—
117C4×D4×C139—22no—
118C4×D4×C139—21no—
119C4×D4×C139—22no—
120C4×D4×C139—21no—
121C4×D4×C139—21no—
122C4×D4×C139—22no—
123C4×D4×C139—42no—
124#117×C139—21no—
125#117×C139—22no—
126#117×C139—21no—
127#117×C139—21no—
128#117×C139D411yescharacteristic
129#117×C139D411yescharacteristic, complemented
130#117×C139D411yescharacteristic, complemented
131C2×C22⋊C4×C139—22no—
132#104×C139—24no—
133#101×C139—21no—
134#100×C139C2312yes—
135#99×C139—21no—
136#99×C139—21no—
137#99×C139—22no—
138#99×C139—22no—
139#99×C139—24no—
140#99×C139C2312yes—
141#99×C139C2312yes—
142C24×C139—21no—
143C24×C139C2×D411yescharacteristic
144#41×C139—22no—
145#41×C139—22no—
146#41×C139—41no—
147#41×C139—41no—
148#41×C139—42no—
149#41×C139—41no—
150#41×C139—41no—
151#41×C139—41no—
152#41×C139—41no—
153#41×C139—41no—
154#41×C139—42no—
155#41×C139—42no—
156#41×C139—42no—
157#41×C139—41no—
158#41×C139—41no—
159#41×C139—41no—
160#41×C139—81no—
161#41×C139—81no—
162C2×Q8×C139—21no—
163C2×Q8×C139—21no—
164C2×Q8×C139—22no—
165C2×Q8×C139—21no—
166C2×Q8×C139—21no—
167C2×Q8×C139—21no—
168C2×Q8×C139—41no—
169C2×Q8×C139—41no—
170C2×Q8×C139—42no—
171C2×Q8×C139C2×D411yescharacteristic
172C2×D4×C139—21no—
173C2×D4×C139—21no—
174C2×D4×C139—21no—
175C2×D4×C139—22no—
176C2×D4×C139—22no—
177C2×D4×C139—22no—
178C2×D4×C139—22no—
179C2×D4×C139—21no—
180C2×D4×C139—22no—
181C2×D4×C139—22no—
182C2×D4×C139—21no—
183C2×D4×C139—21no—
184C2×D4×C139—41no—
185C2×D4×C139—41no—
186C2×D4×C139—42no—
187C2×D4×C139—42no—
188C2×D4×C139—42no—
189C2×D4×C139—41no—
190C2×D4×C139—42no—
191C2×D4×C139C2×D411yescharacteristic
192C2×D4×C139C2×D411yescharacteristic
193C2×D4×C139C2×D412yes—
194C2×D4×C139C2411yescharacteristic
195C22×C4×C139—22no—
196C22×C4×C139—22no—
197C22×C4×C139—22no—
198C22×C4×C139—22no—
199C22×C4×C139—21no—
200C22×C4×C139—21no—
201C22×C4×C139—41no—
202C22×C4×C139—41no—
203C22×C4×C139—41no—
204C22×C4×C139C2×D411yescharacteristic
205C22×C4×C139C2×D411yescharacteristic
206C22×C4×C139C2×D411yescharacteristic
207C22×C4×C139C2×D411yescharacteristic
208C22×C4×C139C2×D412yes—
209SD16×C139—44no—
210D8×C139—44no—
211M16×C139—22no—
212M16×C139—41no—
213C2×C8×C139—41no—
214C4⋊C4×C139—22no—
215C4⋊C4×C139—22no—
216C4⋊C4×C139—22no—
217C4⋊C4×C139—21no—
218C4⋊C4×C139—21no—
219C4⋊C4×C139—22no—
220C4⋊C4×C139—21no—
221C4⋊C4×C139—21no—
222C4⋊C4×C139—21no—
223C4⋊C4×C139—22no—
224C4⋊C4×C139—41no—
225C4⋊C4×C139—41no—
226C4⋊C4×C139—42no—
227C4⋊C4×C139—44no—
228C22⋊C4×C139—22no—
229C22⋊C4×C139—22no—
230C22⋊C4×C139—22no—
231C22⋊C4×C139—22no—
232C22⋊C4×C139—22no—
233C22⋊C4×C139—22no—
234C22⋊C4×C139—21no—
235C22⋊C4×C139—22no—
236C22⋊C4×C139—21no—
237C22⋊C4×C139—21no—
238C22⋊C4×C139—22no—
239C22⋊C4×C139—22no—
240C22⋊C4×C139—22no—
241C22⋊C4×C139—21no—
242C22⋊C4×C139—21no—
243C22⋊C4×C139—22no—
244C22⋊C4×C139—22no—
245C22⋊C4×C139—42no—
246C22⋊C4×C139—42no—
247C22⋊C4×C139—44no—
248C22⋊C4×C139C2×D411yescharacteristic
249C22⋊C4×C139C2×D411yescharacteristic
250C22⋊C4×C139C2×D412yes—
251C42×C139—22no—
252C42×C139—22no—
253C42×C139—21no—
254C42×C139—21no—
255C42×C139—41no—
256C42×C139—41no—
257C42×C139C2×D412yes—
258C23×C139—22no—
259C23×C139—22no—
260C23×C139—21no—
261C23×C139—22no—
262C23×C139—41no—
263C23×C139—41no—
264C23×C139—81no—
265C23×C139—81no—
266C23×C139—82no—
267C23×C139#12011yescharacteristic
268C23×C139C22×D411yescharacteristic
269C23×C139C22×D411yescharacteristic
270Q8×C139—22no—
271Q8×C139—41no—
272Q8×C139—41no—
273Q8×C139—41no—
274Q8×C139—41no—
275Q8×C139—41no—
276Q8×C139—41no—
277Q8×C139—81no—
278Q8×C139—82no—
279D4×C139—22no—
280D4×C139—41no—
281D4×C139—41no—
282D4×C139—41no—
283D4×C139—42no—
284D4×C139—41no—
285D4×C139—41no—
286D4×C139—42no—
287D4×C139—42no—
288D4×C139—42no—
289D4×C139—42no—
290D4×C139—41no—
291D4×C139—41no—
292D4×C139—41no—
293D4×C139—81no—
294D4×C139—82no—
295D4×C139—82no—
296D4×C139—82no—
297D4×C139—81no—
298D4×C139—82no—
299D4×C139—84no—
300C2×C4×C139—21no—
301C2×C4×C139—21no—
302C2×C4×C139—21no—
303C2×C4×C139—21no—
304C2×C4×C139—21no—
305C2×C4×C139—21no—
306C2×C4×C139—22no—
307C2×C4×C139—22no—
308C2×C4×C139—21no—
309C2×C4×C139—22no—
310C2×C4×C139—22no—
311C2×C4×C139—21no—
312C2×C4×C139—22no—
313C2×C4×C139—21no—
314C2×C4×C139—42no—
315C2×C4×C139—42no—
316C2×C4×C139—42no—
317C2×C4×C139—41no—
318C2×C4×C139—42no—
319C2×C4×C139—41no—
320C2×C4×C139—41no—
321C2×C4×C139—41no—
322C2×C4×C139—42no—
323C2×C4×C139—42no—
324C2×C4×C139—42no—
325C2×C4×C139—81no—
326C2×C4×C139—82no—
327C2×C4×C139—82no—
328C2×C4×C139#12011yescharacteristic
329C2×C4×C139#12011yescharacteristic
330C2×C4×C139#12011yescharacteristic
331C2×C4×C139C22×D411yescharacteristic
332C8×C139—42no—
333C22×C139—21no—
334C22×C139—21no—
335C22×C139—21no—
336C22×C139—41no—
337C22×C139—41no—
338C22×C139—41no—
339C22×C139—42no—
340C22×C139—41no—
341C22×C139—41no—
342C22×C139—42no—
343C22×C139—42no—
344C22×C139—42no—
345C22×C139—41no—
346C22×C139—42no—
347C22×C139—82no—
348C22×C139—82no—
349C22×C139—81no—
350C22×C139—161no—
351C22×C139—162no—
352C22×C139C2×#12011yescharacteristic
353C4×C139—21no—
354C4×C139—21no—
355C4×C139—21no—
356C4×C139—41no—
357C4×C139—42no—
358C4×C139—42no—
359C4×C139—41no—
360C4×C139—42no—
361C4×C139—41no—
362C4×C139—42no—
363C4×C139—82no—
364C4×C139—82no—
365C4×C139B(4,𝔽2)11yescharacteristic
366C4×C139B(4,𝔽2)11yescharacteristic
367C2×C139—21no—
368C2×C139—41no—
369C2×C139—41no—
370C2×C139—41no—
371C2×C139—81no—
372C2×C139—82no—
373C2×C139—82no—
374C2×C139C2×B(4,𝔽2)11yescharacteristic
375#33556C13911yesmaximal, characteristic, direct product factor, Sylow
376C139#3355611yescharacteristic, direct product factor, Sylow
377#3540C2×C13911yescharacteristic, complemented
378#3028C2×C13911yescharacteristic, complemented
379#3025C2×C13911yescharacteristic, complemented
380#3021C2×C13911yescharacteristic, complemented
381#2200C2×C13914yescomplemented
382#2198C2×C13914yescomplemented
383#2128C2×C13911yescharacteristic, complemented
384#2123C2×C13911yescharacteristic, complemented
385#2120C2×C13911yescharacteristic, complemented
386#585C22×C13911yescharacteristic
387C2×AGL(1,ℤ/8)—21no—
388H(3,𝔽4)—21no—
389#560C22×C13912yescomplemented
390#559C22×C13912yescomplemented
391#556—21no—
392#555—21no—
393#551—21no—
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536—21no—
400#536C22×C13911yescharacteristic
401#535C22×C13911yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C13911yescharacteristic
405#458—21no—
406#458—22no—
407#458C22×C13912yescomplemented
408#458C22×C13914yescomplemented
409B(4,𝔽2)—21no—
410B(4,𝔽2)C22×C13912yescomplemented
411#454—22no—
412#453C22×C13914yes—
413#421—21no—
414#413C22×C13911yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C13911yescharacteristic
418#410C22×C13911yescharacteristic
419#353C22×C13914yescomplemented
420#352C22×C13912yescomplemented
421#352C22×C13914yescomplemented
422AΣL(1,𝔽16)C22×C13912yescomplemented
4232−1+4—21no—
4242−1+4—41no—
425H(5,𝔽2)—21no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—41no—
428H(5,𝔽2)C23×C13912yes—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—42no—
434C2×#41C23×C13911yescharacteristic
435C22×Q8D4×C13911yescharacteristic, complemented
436C22×D4D4×C13911yescharacteristic, complemented
437C23×C4D4×C13911yescharacteristic
438AGL(1,ℤ/8)—24no—
439AGL(1,ℤ/8)—42no—
440C2×SD16—41no—
441C2×D8—41no—
442C2×M16—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—41no—
446#127C23×C13912yes—
447#126—22no—
448#126—22no—
449#126—22no—
450#124—22no—
451#124—21no—
452#124—22no—
453#124—22no—
454#124—21no—
455#124—22no—
456#124—22no—
457#124—41no—
458#124D4×C13912yescomplemented
459#123—22no—
460#123—22no—
461#123—22no—
462#123—22no—
463#123—24no—
464#123D4×C13911yescharacteristic
465#123D4×C13912yescomplemented
466#123C23×C13911yescharacteristic
467#123C23×C13912yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—42no—
475C22⋊Q8—41no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—21no—
487#120—21no—
488#120—22no—
489#120D4×C13911yescharacteristic
490#120C23×C13911yescharacteristic
491C4×Q8—21no—
492C4×Q8—22no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—22no—
499C4×D4—42no—
500#117—21no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117D4×C13911yescharacteristic
505#117D4×C13911yescharacteristic, complemented
506#117D4×C13911yescharacteristic, complemented
507C2×C22⋊C4—22no—
508#104—24no—
509#101—21no—
510#100C23×C13912yes—
511#99—21no—
512#99—21no—
513#99—22no—
514#99—22no—
515#99—24no—
516#99C23×C13912yes—
517#99C23×C13912yes—
518C24—21no—
519C24C2×D4×C13911yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C13911yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—42no—
567C2×D4C2×D4×C13911yescharacteristic
568C2×D4C2×D4×C13911yescharacteristic
569C2×D4C2×D4×C13912yes—
570C2×D4C24×C13911yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C2×D4×C13911yescharacteristic
581C22×C4C2×D4×C13911yescharacteristic
582C22×C4C2×D4×C13911yescharacteristic
583C22×C4C2×D4×C13911yescharacteristic
584C22×C4C2×D4×C13912yes—
585SD16—44no—
586D8—44no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—42no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4C2×D4×C13911yescharacteristic
625C22⋊C4C2×D4×C13911yescharacteristic
626C22⋊C4C2×D4×C13912yes—
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C13912yes—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23#120×C13911yescharacteristic
644C23C22×D4×C13911yescharacteristic
645C23C22×D4×C13911yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—82no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4#120×C13911yescharacteristic
705C2×C4#120×C13911yescharacteristic
706C2×C4#120×C13911yescharacteristic
707C2×C4C22×D4×C13911yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×#120×C13911yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4B(4,𝔽2)×C13911yescharacteristic
742C4B(4,𝔽2)×C13911yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×B(4,𝔽2)×C13911yescharacteristic
subgroupG/H
center, socleC2×C139C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C139
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C139 ◁ C2×C4×C139 ◁ C2×#41×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3540×C139C2semidirect
2. #3028×C139C2semidirect
3. #3025×C139C2semidirect
4. #3021×C139C2semidirect
5. #2200×C139C2semidirect
6. #2198×C139C2semidirect
7. #2128×C139C2semidirect
8. #2123×C139C2semidirect
9. #2120×C139C2semidirect
13. #560×C139C22semidirect
14. #559×C139C22semidirect
31. #458×C139C22semidirect
32. #458×C139C22semidirect
34. B(4,𝔽2)×C139C22semidirect
43. #353×C139C22semidirect
44. #352×C139C22semidirect
45. #352×C139C22semidirect
46. AΣL(1,𝔽16)×C139C22semidirect
59. C22×Q8×C139D4semidirect
60. C22×D4×C139D4semidirect
82. #124×C139D4semidirect
89. #123×C139D4semidirect
129. #117×C139D4semidirect
130. #117×C139D4semidirect
375. #33556C139direct (N × H)
376. C139#33556direct (N × H)
377. #3540C2×C139semidirect
378. #3028C2×C139semidirect
379. #3025C2×C139semidirect
380. #3021C2×C139semidirect
381. #2200C2×C139semidirect
382. #2198C2×C139semidirect
383. #2128C2×C139semidirect
384. #2123C2×C139semidirect
385. #2120C2×C139semidirect
389. #560C22×C139semidirect
390. #559C22×C139semidirect
407. #458C22×C139semidirect
408. #458C22×C139semidirect
410. B(4,𝔽2)C22×C139semidirect
419. #353C22×C139semidirect
420. #352C22×C139semidirect
421. #352C22×C139semidirect
422. AΣL(1,𝔽16)C22×C139semidirect
435. C22×Q8D4×C139semidirect
436. C22×D4D4×C139semidirect
458. #124D4×C139semidirect
465. #123D4×C139semidirect
505. #117D4×C139semidirect
506. #117D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3540×C1392
#3028×C1392
#3025×C1392
#3021×C1392
#2200×C1392
#2198×C1392
#2128×C1392
#2123×C1392
#2120×C1392
#33556139