Finite Group Databasebeta

← C139×#33555 #48028151

Subgroups — C139×#33555 #48028151

Order 35584.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3540×C139C211yesmaximal, characteristic, complemented
2#3027×C139C211yesmaximal, characteristic, complemented
3#3025×C139C211yesmaximal, characteristic, complemented
4#3022×C139C211yesmaximal, characteristic, complemented
5#2199×C139C214yesmaximal, complemented
6#2197×C139C214yesmaximal, complemented
7#2129×C139C211yesmaximal, characteristic, complemented
8#2122×C139C211yesmaximal, characteristic, complemented
9#2120×C139C211yesmaximal, characteristic, complemented
10#585×C139C2211yescharacteristic
11C2×#137×C139—21no—
12H(3,𝔽4)×C139C2212yescomplemented
13#560×C139—21no—
14#559×C139—21no—
15#556×C139—21no—
16#555×C139—21no—
17#551×C139C2212yescomplemented
18#548×C139—21no—
19#546×C139—21no—
20#542×C139—22no—
21#542×C139—21no—
22#538×C139—22no—
23#536×C139C2211yescharacteristic
24#535×C139—21no—
25#535×C139C2211yescharacteristic
26#525×C139—21no—
27#525×C139—21no—
28#525×C139C2211yescharacteristic
29#458×C139—21no—
30#458×C139C2212yes—
31B(4,𝔽2)×C139—21no—
32B(4,𝔽2)×C139—22no—
33B(4,𝔽2)×C139C2212yes—
34B(4,𝔽2)×C139C2214yes—
35#456×C139—22no—
36#455×C139C2214yes—
37#421×C139—21no—
38#413×C139C2211yescharacteristic
39#410×C139—21no—
40#410×C139—21no—
41#410×C139C2211yescharacteristic
42#410×C139C2211yescharacteristic
43#354×C139C2214yescomplemented
44#352×C139C2212yescomplemented
45AΣL(1,𝔽16)×C139C2212yescomplemented
46AΣL(1,𝔽16)×C139C2214yescomplemented
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, complemented
62#137×C139—24no—
63#137×C139—42no—
64C2×Q16×C139—41no—
65C2×SD16×C139—41no—
66C2×M16×C139—21no—
67C4⋊Q8×C139—21no—
68C4⋊Q8×C139D412yescomplemented
69#127×C139—21no—
70#127×C139—41no—
71#126×C139—22no—
72#126×C139—22no—
73#126×C139—22no—
74#124×C139—22no—
75#124×C139—21no—
76#124×C139—21no—
77#124×C139—22no—
78#124×C139—22no—
79#124×C139—22no—
80#124×C139—22no—
81#124×C139—41no—
82#124×C139C2312yes—
83#123×C139—22no—
84#123×C139—22no—
85#123×C139—21no—
86#123×C139—21no—
87#123×C139—22no—
88#123×C139—22no—
89#123×C139D411yescharacteristic, complemented
90#123×C139C2311yescharacteristic
91C22⋊Q8×C139—21no—
92C22⋊Q8×C139—22no—
93C22⋊Q8×C139—21no—
94C22⋊Q8×C139—22no—
95C22⋊Q8×C139—21no—
96C22⋊Q8×C139—21no—
97C22⋊Q8×C139—41no—
98#121×C139—21no—
99#121×C139—22no—
100#121×C139—22no—
101#121×C139—22no—
102#121×C139—21no—
103#121×C139—21no—
104#121×C139—21no—
105#121×C139—42no—
106#121×C139—41no—
107#120×C139—22no—
108#120×C139—22no—
109#120×C139—22no—
110#120×C139—24no—
111#120×C139D411yescharacteristic, complemented
112#120×C139D412yescomplemented
113#120×C139C2311yescharacteristic
114#120×C139C2312yes—
115C4×Q8×C139—21no—
116C4×Q8×C139—22no—
117C4×D4×C139—22no—
118C4×D4×C139—22no—
119C4×D4×C139—21no—
120C4×D4×C139—22no—
121C4×D4×C139—21no—
122C4×D4×C139—21no—
123C4×D4×C139—42no—
124#117×C139—21no—
125#117×C139—22no—
126#117×C139—21no—
127#117×C139—21no—
128#117×C139D411yescharacteristic, complemented
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—24no—
138#99×C139—22no—
139#99×C139—22no—
140#99×C139C2312yes—
141#99×C139C2312yes—
142C24×C139C2×D412yes—
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—41no—
168C2×Q8×C139—41no—
169C2×Q8×C139—42no—
170C2×Q8×C139C2×D412yes—
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—21no—
182C2×D4×C139—22no—
183C2×D4×C139—21no—
184C2×D4×C139—21no—
185C2×D4×C139—41no—
186C2×D4×C139—41no—
187C2×D4×C139—42no—
188C2×D4×C139—42no—
189C2×D4×C139—42no—
190C2×D4×C139—41no—
191C2×D4×C139—42no—
192C2×D4×C139—44no—
193C2×D4×C139C2×D411yescharacteristic
194C2×D4×C139C2×D411yescharacteristic
195C2×D4×C139C2411yescharacteristic
196C22×C4×C139—22no—
197C22×C4×C139—22no—
198C22×C4×C139—22no—
199C22×C4×C139—22no—
200C22×C4×C139—21no—
201C22×C4×C139—21no—
202C22×C4×C139—21no—
203C22×C4×C139—41no—
204C22×C4×C139—41no—
205C22×C4×C139—41no—
206C22×C4×C139C2×D411yescharacteristic
207C22×C4×C139C2×D411yescharacteristic
208C22×C4×C139C2×D411yescharacteristic
209C22×C4×C139C2×D411yescharacteristic
210Q16×C139—44no—
211SD16×C139—44no—
212M16×C139—22no—
213M16×C139—41no—
214C2×C8×C139—41no—
215C4⋊C4×C139—22no—
216C4⋊C4×C139—22no—
217C4⋊C4×C139—22no—
218C4⋊C4×C139—21no—
219C4⋊C4×C139—21no—
220C4⋊C4×C139—22no—
221C4⋊C4×C139—22no—
222C4⋊C4×C139—21no—
223C4⋊C4×C139—21no—
224C4⋊C4×C139—21no—
225C4⋊C4×C139—41no—
226C4⋊C4×C139—41no—
227C4⋊C4×C139—42no—
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—21no—
236C22⋊C4×C139—21no—
237C22⋊C4×C139—22no—
238C22⋊C4×C139—22no—
239C22⋊C4×C139—21no—
240C22⋊C4×C139—22no—
241C22⋊C4×C139—22no—
242C22⋊C4×C139—21no—
243C22⋊C4×C139—22no—
244C22⋊C4×C139—22no—
245C22⋊C4×C139—42no—
246C22⋊C4×C139—44no—
247C22⋊C4×C139—42no—
248C22⋊C4×C139C2×D412yes—
249C22⋊C4×C139C2×D411yescharacteristic
250C22⋊C4×C139C2×D411yescharacteristic
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—22no—
261C23×C139—21no—
262C23×C139—41no—
263C23×C139—41no—
264C23×C139—42no—
265C23×C139—81no—
266C23×C139—82no—
267C23×C139#12011yescharacteristic
268C23×C139C22×D411yescharacteristic
269C23×C139C22×D411yescharacteristic
270Q8×C139—22no—
271Q8×C139—41no—
272Q8×C139—42no—
273Q8×C139—41no—
274Q8×C139—41no—
275Q8×C139—41no—
276Q8×C139—41no—
277Q8×C139—41no—
278Q8×C139—82no—
279D4×C139—22no—
280D4×C139—41no—
281D4×C139—41no—
282D4×C139—41no—
283D4×C139—41no—
284D4×C139—41no—
285D4×C139—42no—
286D4×C139—42no—
287D4×C139—42no—
288D4×C139—42no—
289D4×C139—41no—
290D4×C139—41no—
291D4×C139—41no—
292D4×C139—81no—
293D4×C139—81no—
294D4×C139—82no—
295D4×C139—82no—
296D4×C139—82no—
297D4×C139—81no—
298D4×C139—82no—
299D4×C139—84no—
300D4×C139—164no—
301C2×C4×C139—21no—
302C2×C4×C139—21no—
303C2×C4×C139—21no—
304C2×C4×C139—21no—
305C2×C4×C139—21no—
306C2×C4×C139—21no—
307C2×C4×C139—22no—
308C2×C4×C139—22no—
309C2×C4×C139—21no—
310C2×C4×C139—22no—
311C2×C4×C139—21no—
312C2×C4×C139—22no—
313C2×C4×C139—22no—
314C2×C4×C139—21no—
315C2×C4×C139—42no—
316C2×C4×C139—42no—
317C2×C4×C139—42no—
318C2×C4×C139—41no—
319C2×C4×C139—42no—
320C2×C4×C139—41no—
321C2×C4×C139—41no—
322C2×C4×C139—41no—
323C2×C4×C139—42no—
324C2×C4×C139—42no—
325C2×C4×C139—81no—
326C2×C4×C139—81no—
327C2×C4×C139—82no—
328C2×C4×C139—82no—
329C2×C4×C139#12011yescharacteristic
330C2×C4×C139#12011yescharacteristic
331C2×C4×C139#12011yescharacteristic
332C2×C4×C139C22×D411yescharacteristic
333C8×C139—42no—
334C22×C139—21no—
335C22×C139—21no—
336C22×C139—21no—
337C22×C139—41no—
338C22×C139—41no—
339C22×C139—41no—
340C22×C139—42no—
341C22×C139—41no—
342C22×C139—41no—
343C22×C139—42no—
344C22×C139—42no—
345C22×C139—42no—
346C22×C139—41no—
347C22×C139—42no—
348C22×C139—82no—
349C22×C139—82no—
350C22×C139—84no—
351C22×C139—81no—
352C22×C139—161no—
353C22×C139C2×#12011yescharacteristic
354C4×C139—21no—
355C4×C139—21no—
356C4×C139—21no—
357C4×C139—41no—
358C4×C139—42no—
359C4×C139—42no—
360C4×C139—41no—
361C4×C139—42no—
362C4×C139—41no—
363C4×C139—42no—
364C4×C139—82no—
365C4×C139—82no—
366C4×C139B(4,𝔽2)11yescharacteristic
367C4×C139B(4,𝔽2)11yescharacteristic
368C2×C139—21no—
369C2×C139—41no—
370C2×C139—41no—
371C2×C139—41no—
372C2×C139—81no—
373C2×C139—82no—
374C2×C139—82no—
375C2×C139C2×B(4,𝔽2)11yescharacteristic
376#33555C13911yesmaximal, characteristic, direct product factor, Sylow
377C139#3355511yescharacteristic, direct product factor, Sylow
378#3540C2×C13911yescharacteristic, complemented
379#3027C2×C13911yescharacteristic, complemented
380#3025C2×C13911yescharacteristic, complemented
381#3022C2×C13911yescharacteristic, complemented
382#2199C2×C13914yescomplemented
383#2197C2×C13914yescomplemented
384#2129C2×C13911yescharacteristic, complemented
385#2122C2×C13911yescharacteristic, complemented
386#2120C2×C13911yescharacteristic, complemented
387#585C22×C13911yescharacteristic
388C2×#137—21no—
389H(3,𝔽4)C22×C13912yescomplemented
390#560—21no—
391#559—21no—
392#556—21no—
393#555—21no—
394#551C22×C13912yescomplemented
395#548—21no—
396#546—21no—
397#542—22no—
398#542—21no—
399#538—22no—
400#536C22×C13911yescharacteristic
401#535—21no—
402#535C22×C13911yescharacteristic
403#525—21no—
404#525—21no—
405#525C22×C13911yescharacteristic
406#458—21no—
407#458C22×C13912yes—
408B(4,𝔽2)—21no—
409B(4,𝔽2)—22no—
410B(4,𝔽2)C22×C13914yes—
411B(4,𝔽2)C22×C13912yes—
412#456—22no—
413#455C22×C13914yes—
414#421—21no—
415#413C22×C13911yescharacteristic
416#410—21no—
417#410—21no—
418#410C22×C13911yescharacteristic
419#410C22×C13911yescharacteristic
420#354C22×C13914yescomplemented
421#352C22×C13912yescomplemented
422AΣL(1,𝔽16)C22×C13912yescomplemented
423AΣL(1,𝔽16)C22×C13914yescomplemented
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C13912yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C13911yescharacteristic
436C22×Q8D4×C13911yescharacteristic, complemented
437C22×D4D4×C13911yescharacteristic, complemented
438C23×C4D4×C13911yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C13912yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C13912yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C13911yescharacteristic, complemented
467#123C23×C13911yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C13911yescharacteristic, complemented
489#120D4×C13912yescomplemented
490#120C23×C13911yescharacteristic
491#120C23×C13912yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C13911yescharacteristic, complemented
506#117D4×C13911yescharacteristic, complemented
507#117D4×C13911yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C13912yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C13912yes—
518#99C23×C13912yes—
519C24C2×D4×C13912yes—
520C24C2×D4×C13911yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C13912yes—
548C2×Q8C2×D4×C13911yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C13911yescharacteristic
571C2×D4C2×D4×C13911yescharacteristic
572C2×D4C24×C13911yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C13911yescharacteristic
584C22×C4C2×D4×C13911yescharacteristic
585C22×C4C2×D4×C13911yescharacteristic
586C22×C4C2×D4×C13911yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C13912yes—
626C22⋊C4C2×D4×C13911yescharacteristic
627C22⋊C4C2×D4×C13911yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C13912yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C13911yescharacteristic
645C23C22×D4×C13911yescharacteristic
646C23C22×D4×C13911yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C13911yescharacteristic
707C2×C4#120×C13911yescharacteristic
708C2×C4#120×C13911yescharacteristic
709C2×C4C22×D4×C13911yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C13911yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4B(4,𝔽2)×C13911yescharacteristic
744C4B(4,𝔽2)×C13911yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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. #3027×C139C2semidirect
3. #3025×C139C2semidirect
4. #3022×C139C2semidirect
5. #2199×C139C2semidirect
6. #2197×C139C2semidirect
7. #2129×C139C2semidirect
8. #2122×C139C2semidirect
9. #2120×C139C2semidirect
12. H(3,𝔽4)×C139C22semidirect
17. #551×C139C22semidirect
43. #354×C139C22semidirect
44. #352×C139C22semidirect
45. AΣL(1,𝔽16)×C139C22semidirect
46. AΣL(1,𝔽16)×C139C22semidirect
59. C22×Q8×C139D4semidirect
60. C22×D4×C139D4semidirect
61. C23×C4×C139D4semidirect
68. C4⋊Q8×C139D4semidirect
89. #123×C139D4semidirect
111. #120×C139D4semidirect
112. #120×C139D4semidirect
128. #117×C139D4semidirect
129. #117×C139D4semidirect
130. #117×C139D4semidirect
376. #33555C139direct (N × H)
377. C139#33555direct (N × H)
378. #3540C2×C139semidirect
379. #3027C2×C139semidirect
380. #3025C2×C139semidirect
381. #3022C2×C139semidirect
382. #2199C2×C139semidirect
383. #2197C2×C139semidirect
384. #2129C2×C139semidirect
385. #2122C2×C139semidirect
386. #2120C2×C139semidirect
389. H(3,𝔽4)C22×C139semidirect
394. #551C22×C139semidirect
420. #354C22×C139semidirect
421. #352C22×C139semidirect
422. AΣL(1,𝔽16)C22×C139semidirect
423. AΣL(1,𝔽16)C22×C139semidirect
436. C22×Q8D4×C139semidirect
437. C22×D4D4×C139semidirect
438. C23×C4D4×C139semidirect
445. C4⋊Q8D4×C139semidirect
466. #123D4×C139semidirect
488. #120D4×C139semidirect
489. #120D4×C139semidirect
505. #117D4×C139semidirect
506. #117D4×C139semidirect
507. #117D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3540×C1392
#3027×C1392
#3025×C1392
#3022×C1392
#2199×C1392
#2197×C1392
#2129×C1392
#2122×C1392
#2120×C1392
#33555139