Finite Group Databasebeta

← C139×#33560 #48028156

Subgroups — C139×#33560 #48028156

Order 35584.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3551×C139C211yesmaximal, characteristic, complemented
2#3028×C139C211yesmaximal, characteristic, complemented
3#3027×C139C211yesmaximal, characteristic, complemented
4#3018×C139C211yesmaximal, characteristic, complemented
5#2200×C139C214yesmaximal, complemented
6#2197×C139C214yesmaximal, complemented
7#2126×C139C211yesmaximal, characteristic, complemented
8#2123×C139C211yesmaximal, characteristic, complemented
9#2122×C139C211yesmaximal, characteristic, complemented
10#585×C139C2211yescharacteristic
11#575×C139—21no—
12#563×C139—21no—
13#560×C139C2212yescomplemented
14#555×C139—21no—
15#553×C139—21no—
16#552×C139—21no—
17#551×C139C2212yescomplemented
18#548×C139—21no—
19#546×C139—21no—
20#540×C139—22no—
21#538×C139—22no—
22#537×C139—21no—
23#536×C139—21no—
24#536×C139C2211yescharacteristic
25#535×C139—21no—
26#535×C139C2211yescharacteristic
27#532×C139C2211yescharacteristic
28#529×C139—21no—
29#458×C139—22no—
30#458×C139C2214yes—
31B(4,𝔽2)×C139—22no—
32B(4,𝔽2)×C139C2214yes—
33#456×C139—21no—
34#455×C139C2212yes—
35#454×C139—21no—
36#453×C139C2212yes—
37C2×#104×C139—21no—
38#413×C139C2211yescharacteristic
39#410×C139—21no—
40#410×C139—21no—
41#410×C139C2211yescharacteristic
42#410×C139C2211yescharacteristic
43#354×C139C2212yescomplemented
44#353×C139C2212yescomplemented
45#352×C139C2214yescomplemented
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×C139D411yescharacteristic, complemented
59C2×#41×C139C2311yescharacteristic
60C22×Q8×C139D411yescharacteristic, complemented
61C22×D4×C139D411yescharacteristic
62#137×C139—22no—
63#137×C139—41no—
64AGL(1,ℤ/8)×C139—22no—
65AGL(1,ℤ/8)×C139—41no—
66#135×C139—42no—
67C2×M16×C139—21no—
68C4⋊Q8×C139—21no—
69C4⋊Q8×C139—41no—
70C4⋊Q8×C139D411yescharacteristic, complemented
71#127×C139—21no—
72#127×C139—41no—
73#127×C139C2311yescharacteristic
74#126×C139—22no—
75#126×C139—22no—
76#126×C139—22no—
77#125×C139—21no—
78#125×C139—22no—
79#124×C139—21no—
80#124×C139—22no—
81#124×C139—21no—
82#124×C139—21no—
83#124×C139—41no—
84#124×C139—41no—
85#124×C139D411yescharacteristic, complemented
86#124×C139C2311yescharacteristic
87#123×C139—22no—
88#123×C139—22no—
89#123×C139—22no—
90#123×C139—22no—
91#123×C139—24no—
92#123×C139D412yescomplemented
93#123×C139C2312yes—
94C22⋊Q8×C139—21no—
95C22⋊Q8×C139—22no—
96C22⋊Q8×C139—22no—
97C22⋊Q8×C139—21no—
98C22⋊Q8×C139—21no—
99C22⋊Q8×C139—42no—
100#121×C139—22no—
101#121×C139—22no—
102#121×C139—21no—
103#121×C139—22no—
104#121×C139—21no—
105#121×C139—21no—
106#121×C139—22no—
107#121×C139—21no—
108#121×C139—21no—
109#121×C139—22no—
110#121×C139—22no—
111#121×C139—42no—
112#120×C139—22no—
113#120×C139—24no—
114#120×C139D412yes—
115#120×C139C2312yes—
116C4×Q8×C139—21no—
117C4×D4×C139—22no—
118C4×D4×C139—21no—
119C4×D4×C139—22no—
120C4×D4×C139—21no—
121C4×D4×C139—21no—
122C4×D4×C139—22no—
123#117×C139—22no—
124#117×C139—22no—
125#117×C139—21no—
126#117×C139—21no—
127#117×C139D411yescharacteristic
128#117×C139D411yescharacteristic, complemented
129C2×C4⋊C4×C139—21no—
130C2×C22⋊C4×C139—22no—
131C2×C42×C139D411yescharacteristic, complemented
132#104×C139—22no—
133#104×C139—22no—
134#101×C139—21no—
135#100×C139C2312yes—
136#99×C139—21no—
137#99×C139—21no—
138#99×C139—24no—
139#99×C139—24no—
140#99×C139C2312yes—
141#99×C139C2312yes—
142C24×C139C2×D412yes—
143#41×C139—22no—
144#41×C139—22no—
145#41×C139—41no—
146#41×C139—41no—
147#41×C139—42no—
148#41×C139—41no—
149#41×C139—41no—
150#41×C139—41no—
151#41×C139—41no—
152#41×C139—41no—
153#41×C139—42no—
154#41×C139—42no—
155#41×C139—41no—
156#41×C139—41no—
157#41×C139—42no—
158#41×C139—41no—
159#41×C139—41no—
160#41×C139—41no—
161#41×C139—81no—
162#41×C139—81no—
163C2×Q8×C139—21no—
164C2×Q8×C139—21no—
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×Q8×C139C2×D411yescharacteristic
173C2×D4×C139—21no—
174C2×D4×C139—21no—
175C2×D4×C139—21no—
176C2×D4×C139—22no—
177C2×D4×C139—22no—
178C2×D4×C139—22no—
179C2×D4×C139—22no—
180C2×D4×C139—22no—
181C2×D4×C139—21no—
182C2×D4×C139—21no—
183C2×D4×C139—22no—
184C2×D4×C139—21no—
185C2×D4×C139—21no—
186C2×D4×C139—21no—
187C2×D4×C139—41no—
188C2×D4×C139—41no—
189C2×D4×C139—42no—
190C2×D4×C139—42no—
191C2×D4×C139—42no—
192C2×D4×C139—41no—
193C2×D4×C139—44no—
194C2×D4×C139C2×D411yescharacteristic
195C2×D4×C139C2×D411yescharacteristic
196C2×D4×C139C2×D411yescharacteristic
197C2×D4×C139C2411yescharacteristic
198C22×C4×C139—22no—
199C22×C4×C139—22no—
200C22×C4×C139—22no—
201C22×C4×C139—22no—
202C22×C4×C139—22no—
203C22×C4×C139—21no—
204C22×C4×C139—21no—
205C22×C4×C139—41no—
206C22×C4×C139C2×D411yescharacteristic
207C22×C4×C139C2×D411yescharacteristic
208C22×C4×C139C2×D411yescharacteristic
209C22×C4×C139C2×D412yes—
210Q16×C139—42no—
211SD16×C139—42no—
212SD16×C139—42no—
213D8×C139—42no—
214M16×C139—22no—
215M16×C139—41no—
216C2×C8×C139—41no—
217C4⋊C4×C139—22no—
218C4⋊C4×C139—22no—
219C4⋊C4×C139—22no—
220C4⋊C4×C139—22no—
221C4⋊C4×C139—22no—
222C4⋊C4×C139—22no—
223C4⋊C4×C139—21no—
224C4⋊C4×C139—21no—
225C4⋊C4×C139—21no—
226C4⋊C4×C139—21no—
227C4⋊C4×C139—22no—
228C4⋊C4×C139—41no—
229C4⋊C4×C139—41no—
230C4⋊C4×C139—44no—
231C22⋊C4×C139—22no—
232C22⋊C4×C139—22no—
233C22⋊C4×C139—22no—
234C22⋊C4×C139—22no—
235C22⋊C4×C139—22no—
236C22⋊C4×C139—22no—
237C22⋊C4×C139—21no—
238C22⋊C4×C139—22no—
239C22⋊C4×C139—21no—
240C22⋊C4×C139—21no—
241C22⋊C4×C139—21no—
242C22⋊C4×C139—22no—
243C22⋊C4×C139—22no—
244C22⋊C4×C139—22no—
245C22⋊C4×C139—22no—
246C22⋊C4×C139—44no—
247C22⋊C4×C139—44no—
248C22⋊C4×C139C2×D412yes—
249C22⋊C4×C139C2×D412yes—
250C42×C139—22no—
251C42×C139—21no—
252C42×C139—21no—
253C42×C139—21no—
254C42×C139—41no—
255C42×C139—41no—
256C42×C139C2×D411yescharacteristic
257C42×C139C2×D411yescharacteristic
258C23×C139—22no—
259C23×C139—22no—
260C23×C139—22no—
261C23×C139—21no—
262C23×C139—41no—
263C23×C139—42no—
264C23×C139—82no—
265C23×C139#12011yescharacteristic
266C23×C139C22×D411yescharacteristic
267C23×C139C22×D411yescharacteristic
268Q8×C139—22no—
269Q8×C139—41no—
270Q8×C139—41no—
271Q8×C139—41no—
272Q8×C139—41no—
273Q8×C139—41no—
274Q8×C139—41no—
275Q8×C139—41no—
276Q8×C139—81no—
277D4×C139—22no—
278D4×C139—41no—
279D4×C139—41no—
280D4×C139—41no—
281D4×C139—41no—
282D4×C139—41no—
283D4×C139—41no—
284D4×C139—42no—
285D4×C139—42no—
286D4×C139—42no—
287D4×C139—42no—
288D4×C139—41no—
289D4×C139—41no—
290D4×C139—41no—
291D4×C139—81no—
292D4×C139—81no—
293D4×C139—82no—
294D4×C139—82no—
295D4×C139—82no—
296D4×C139—81no—
297D4×C139—81no—
298D4×C139—82no—
299D4×C139—164no—
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—21no—
311C2×C4×C139—22no—
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—42no—
322C2×C4×C139—42no—
323C2×C4×C139—42no—
324C2×C4×C139—82no—
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—41no—
340C22×C139—42no—
341C22×C139—41no—
342C22×C139—42no—
343C22×C139—42no—
344C22×C139—41no—
345C22×C139—42no—
346C22×C139—82no—
347C22×C139—84no—
348C22×C139—82no—
349C22×C139—161no—
350C22×C139C2×#12011yescharacteristic
351C4×C139—21no—
352C4×C139—21no—
353C4×C139—21no—
354C4×C139—41no—
355C4×C139—42no—
356C4×C139—42no—
357C4×C139—41no—
358C4×C139—42no—
359C4×C139—41no—
360C4×C139—42no—
361C4×C139—82no—
362C4×C139—82no—
363C4×C139B(4,𝔽2)11yescharacteristic
364C4×C139B(4,𝔽2)11yescharacteristic
365C2×C139—21no—
366C2×C139—41no—
367C2×C139—41no—
368C2×C139—41no—
369C2×C139—81no—
370C2×C139—82no—
371C2×C139—82no—
372C2×C139C2×B(4,𝔽2)11yescharacteristic
373#33560C13911yesmaximal, characteristic, direct product factor, Sylow
374C139#3356011yescharacteristic, direct product factor, Sylow
375#3551C2×C13911yescharacteristic, complemented
376#3028C2×C13911yescharacteristic, complemented
377#3027C2×C13911yescharacteristic, complemented
378#3018C2×C13911yescharacteristic, complemented
379#2200C2×C13914yescomplemented
380#2197C2×C13914yescomplemented
381#2126C2×C13911yescharacteristic, complemented
382#2123C2×C13911yescharacteristic, complemented
383#2122C2×C13911yescharacteristic, complemented
384#585C22×C13911yescharacteristic
385#575—21no—
386#563—21no—
387#560C22×C13912yescomplemented
388#555—21no—
389#553—21no—
390#552—21no—
391#551C22×C13912yescomplemented
392#548—21no—
393#546—21no—
394#540—22no—
395#538—22no—
396#537—21no—
397#536—21no—
398#536C22×C13911yescharacteristic
399#535—21no—
400#535C22×C13911yescharacteristic
401#532C22×C13911yescharacteristic
402#529—21no—
403#458—22no—
404#458C22×C13914yes—
405B(4,𝔽2)—22no—
406B(4,𝔽2)C22×C13914yes—
407#456—21no—
408#455C22×C13912yes—
409#454—21no—
410#453C22×C13912yes—
411C2×#104—21no—
412#413C22×C13911yescharacteristic
413#410—21no—
414#410—21no—
415#410C22×C13911yescharacteristic
416#410C22×C13911yescharacteristic
417#354C22×C13912yescomplemented
418#353C22×C13912yescomplemented
419#352C22×C13914yescomplemented
420AΣL(1,𝔽16)C22×C13914yescomplemented
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C13912yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C13911yescharacteristic, complemented
433C2×#41C23×C13911yescharacteristic
434C22×Q8D4×C13911yescharacteristic, complemented
435C22×D4D4×C13911yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C13911yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C13911yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C13911yescharacteristic, complemented
460#124C23×C13911yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C13912yescomplemented
467#123C23×C13912yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C13912yes—
489#120C23×C13912yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C13911yescharacteristic
502#117D4×C13911yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C13911yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C13912yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C13912yes—
515#99C23×C13912yes—
516C24C2×D4×C13912yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C13911yescharacteristic
546C2×Q8C2×D4×C13911yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C13911yescharacteristic
569C2×D4C2×D4×C13911yescharacteristic
570C2×D4C2×D4×C13911yescharacteristic
571C2×D4C24×C13911yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C13911yescharacteristic
581C22×C4C2×D4×C13911yescharacteristic
582C22×C4C2×D4×C13911yescharacteristic
583C22×C4C2×D4×C13912yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C13912yes—
623C22⋊C4C2×D4×C13912yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C13911yescharacteristic
631C42C2×D4×C13911yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C13911yescharacteristic
640C23C22×D4×C13911yescharacteristic
641C23C22×D4×C13911yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—81no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—81no—
701C2×C4—82no—
702C2×C4#120×C13911yescharacteristic
703C2×C4#120×C13911yescharacteristic
704C2×C4#120×C13911yescharacteristic
705C2×C4C22×D4×C13911yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C13911yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4B(4,𝔽2)×C13911yescharacteristic
738C4B(4,𝔽2)×C13911yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×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. #3551×C139C2semidirect
2. #3028×C139C2semidirect
3. #3027×C139C2semidirect
4. #3018×C139C2semidirect
5. #2200×C139C2semidirect
6. #2197×C139C2semidirect
7. #2126×C139C2semidirect
8. #2123×C139C2semidirect
9. #2122×C139C2semidirect
13. #560×C139C22semidirect
17. #551×C139C22semidirect
43. #354×C139C22semidirect
44. #353×C139C22semidirect
45. #352×C139C22semidirect
46. AΣL(1,𝔽16)×C139C22semidirect
58. C2×#41×C139D4semidirect
60. C22×Q8×C139D4semidirect
70. C4⋊Q8×C139D4semidirect
85. #124×C139D4semidirect
92. #123×C139D4semidirect
128. #117×C139D4semidirect
131. C2×C42×C139D4semidirect
373. #33560C139direct (N × H)
374. C139#33560direct (N × H)
375. #3551C2×C139semidirect
376. #3028C2×C139semidirect
377. #3027C2×C139semidirect
378. #3018C2×C139semidirect
379. #2200C2×C139semidirect
380. #2197C2×C139semidirect
381. #2126C2×C139semidirect
382. #2123C2×C139semidirect
383. #2122C2×C139semidirect
387. #560C22×C139semidirect
391. #551C22×C139semidirect
417. #354C22×C139semidirect
418. #353C22×C139semidirect
419. #352C22×C139semidirect
420. AΣL(1,𝔽16)C22×C139semidirect
432. C2×#41D4×C139semidirect
434. C22×Q8D4×C139semidirect
444. C4⋊Q8D4×C139semidirect
459. #124D4×C139semidirect
466. #123D4×C139semidirect
502. #117D4×C139semidirect
505. C2×C42D4×C139semidirect

Maximal subgroups

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

subgroupindex
#3551×C1392
#3028×C1392
#3027×C1392
#3018×C1392
#2200×C1392
#2197×C1392
#2126×C1392
#2123×C1392
#2122×C1392
#33560139