Finite Group Databasebeta

← C131×#25592 #45711476

Subgroups — C131×#25592 #45711476

Order 33536.

1134 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3510×C131C211yesmaximal, characteristic, complemented
2#3140×C131C211yesmaximal, characteristic, complemented
3#3040×C131C211yesmaximal, characteristic, complemented
4#2858×C131C211yesmaximal, characteristic, complemented
5#2005×C131C211yesmaximal, characteristic, complemented
6#2004×C131C211yesmaximal, characteristic, complemented
7#2003×C131C211yesmaximal, characteristic, complemented
8#2002×C131C211yesmaximal, characteristic
9#1994×C131C211yesmaximal, characteristic, complemented
10#1967×C131C211yesmaximal, characteristic, complemented
11#1888×C131C211yesmaximal, characteristic, complemented
12#1887×C131C211yesmaximal, characteristic, complemented
13#1886×C131C211yesmaximal, characteristic, complemented
14#1885×C131C211yesmaximal, characteristic, complemented
15C4×#104×C131C211yesmaximal, characteristic, complemented
16C2×#137×C131C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C131C2211yescharacteristic
18#559×C131—22no—
19#556×C131—22no—
20#551×C131—24no—
21#542×C131—22no—
22#536×C131C2211yescharacteristic
23#535×C131C2211yescharacteristic
24#533×C131C2211yescharacteristic
25C2×C4⋊Q8×C131C2211yescharacteristic
26C2×#127×C131C2211yescharacteristic
27#529×C131—22no—
28C2×#124×C131C2211yescharacteristic
29C2×#124×C131C2211yescharacteristic
30C2×#124×C131C2211yescharacteristic
31C2×#124×C131C2211yescharacteristic
32#519×C131C2211yescharacteristic
33#518×C131C2211yescharacteristic
34C4×#41×C131C2211yescharacteristic
35#489×C131—22no—
36#488×C131—22no—
37#464×C131—22no—
38#463×C131—22no—
39#423×C131C2211yescharacteristic
40C2×#104×C131C2211yescharacteristic
41C2×#104×C131C2211yescharacteristic
42#419×C131C2211yescharacteristic
43#419×C131C2211yescharacteristic
44#419×C131C2211yescharacteristic
45#418×C131C2211yescharacteristic
46#418×C131C2211yescharacteristic
47#418×C131C2211yescharacteristic
48C2×#101×C131C2211yescharacteristic
49C2×#101×C131C2211yescharacteristic
50C2×#100×C131C2211yescharacteristic
51C2×#100×C131C2211yescharacteristic
52C4×M16×C131C2211yescharacteristic
53#390×C131—24no—
54C43×C131C2211yescharacteristic
55#339×C131C2211yescharacteristic
56#339×C131C2211yescharacteristic
57#339×C131C2211yescharacteristic
58#339×C131C2211yescharacteristic
59#339×C131C2211yescharacteristic
60#339×C131C2211yescharacteristic
61C2×#41×C131C2311yescharacteristic
62C22×Q8×C131C2311yescharacteristic
63C22×Q8×C131C2311yescharacteristic
64C22×D4×C131—22no—
65C22×D4×C131C2311yescharacteristic
66C22×D4×C131C2311yescharacteristic
67#137×C131—41no—
68#137×C131—41no—
69AGL(1,ℤ/8)×C131—41no—
70AGL(1,ℤ/8)×C131—41no—
71C2×Q16×C131—21no—
72C2×SD16×C131—21no—
73C2×SD16×C131—21no—
74C2×D8×C131—21no—
75C2×M16×C131C2311yescharacteristic
76C2×M16×C131C2311yescharacteristic
77C2×M16×C131C2311yescharacteristic
78C2×M16×C131C2311yescharacteristic
79C4⋊Q8×C131—21no—
80C4⋊Q8×C131—22no—
81C4⋊Q8×C131—41no—
82C4⋊Q8×C131D412yescomplemented
83#127×C131—21no—
84#127×C131—22no—
85#127×C131—41no—
86#126×C131—24no—
87#126×C131—24no—
88#125×C131D412yescomplemented
89#124×C131—24no—
90#124×C131—21no—
91#124×C131—21no—
92#124×C131—21no—
93#124×C131—21no—
94#124×C131—22no—
95#124×C131—22no—
96#124×C131—21no—
97#124×C131—21no—
98#124×C131—22no—
99#124×C131—22no—
100#124×C131—41no—
101#124×C131—41no—
102#123×C131—24no—
103#123×C131—24no—
104#123×C131—22no—
105C22⋊Q8×C131—24no—
106C22⋊Q8×C131—22no—
107C22⋊Q8×C131—22no—
108#121×C131—22no—
109#120×C131—22no—
110C4×Q8×C131—22no—
111C4×Q8×C131—22no—
112C4×Q8×C131—22no—
113C4×Q8×C131D412yescomplemented
114C4×D4×C131—24no—
115C4×D4×C131—22no—
116C4×D4×C131—22no—
117C4×D4×C131—22no—
118C4×D4×C131D412yescomplemented
119#117×C131—24no—
120#117×C131—22no—
121#117×C131—21no—
122#117×C131C2311yescharacteristic
123#117×C131C2311yescharacteristic
124#117×C131C2311yescharacteristic
125C2×C4⋊C4×C131—22no—
126C2×C22⋊C4×C131—22no—
127C2×C22⋊C4×C131—22no—
128C2×C22⋊C4×C131—22no—
129C2×C22⋊C4×C131—22no—
130C2×C22⋊C4×C131D414yes—
131C2×C42×C131—21no—
132C2×C42×C131—22no—
133C2×C42×C131C2311yescharacteristic
134C2×C42×C131C2311yescharacteristic
135C2×C42×C131C2311yescharacteristic
136C4⋊C8×C131—22no—
137#104×C131—22no—
138#104×C131—22no—
139#103×C131—22no—
140#103×C131—22no—
141#103×C131—22no—
142#102×C131—22no—
143#102×C131—22no—
144#102×C131—22no—
145#101×C131—41no—
146#101×C131—41no—
147#100×C131—41no—
148#100×C131—41no—
149#97×C131—21no—
150C4×C8×C131—21no—
151C24×C131—21no—
152C24×C131C2×D412yes—
153#41×C131—21no—
154#41×C131—21no—
155#41×C131—21no—
156#41×C131—21no—
157C2×Q8×C131—22no—
158C2×Q8×C131—21no—
159C2×Q8×C131—21no—
160C2×Q8×C131—21no—
161C2×Q8×C131—21no—
162C2×Q8×C131—21no—
163C2×Q8×C131—21no—
164C2×Q8×C131—21no—
165C2×Q8×C131—21no—
166C2×Q8×C131—21no—
167C2×Q8×C131—21no—
168C2×Q8×C131—21no—
169C2×Q8×C131—21no—
170C2×Q8×C131C2×D411yescharacteristic
171C2×D4×C131—21no—
172C2×D4×C131—24no—
173C2×D4×C131—21no—
174C2×D4×C131—21no—
175C2×D4×C131—21no—
176C2×D4×C131—21no—
177C2×D4×C131—21no—
178C2×D4×C131—21no—
179C2×D4×C131—21no—
180C2×D4×C131—21no—
181C2×D4×C131—21no—
182C2×D4×C131—21no—
183C2×D4×C131—21no—
184C2×D4×C131—21no—
185C2×D4×C131—44no—
186C2×D4×C131—48no—
187C2×D4×C131C2×D411yescharacteristic
188C22×C4×C131—21no—
189C22×C4×C131—21no—
190C22×C4×C131—24no—
191C22×C4×C131—21no—
192C22×C4×C131—22no—
193C22×C4×C131—21no—
194C22×C4×C131C2×D412yes—
195C22×C4×C131C2×D412yes—
196C22×C4×C131C2411yescharacteristic
197Q16×C131—42no—
198SD16×C131—42no—
199SD16×C131—42no—
200D8×C131—42no—
201M16×C131—21no—
202M16×C131—21no—
203M16×C131—21no—
204M16×C131—21no—
205M16×C131—21no—
206M16×C131—21no—
207M16×C131—21no—
208M16×C131—21no—
209C2×C8×C131—21no—
210C2×C8×C131—21no—
211C2×C8×C131—21no—
212C2×C8×C131—21no—
213C4⋊C4×C131—24no—
214C4⋊C4×C131—24no—
215C4⋊C4×C131—22no—
216C4⋊C4×C131—22no—
217C4⋊C4×C131—22no—
218C4⋊C4×C131—22no—
219C4⋊C4×C131—44no—
220C4⋊C4×C131C2×D412yes—
221C4⋊C4×C131C2×D412yes—
222C4⋊C4×C131C2×D412yes—
223C22⋊C4×C131—24no—
224C22⋊C4×C131—24no—
225C22⋊C4×C131—24no—
226C22⋊C4×C131—21no—
227C22⋊C4×C131—21no—
228C22⋊C4×C131—21no—
229C22⋊C4×C131—24no—
230C22⋊C4×C131—24no—
231C22⋊C4×C131—22no—
232C22⋊C4×C131—44no—
233C22⋊C4×C131—44no—
234C22⋊C4×C131—42no—
235C22⋊C4×C131—42no—
236C42×C131—24no—
237C42×C131—22no—
238C42×C131—21no—
239C42×C131—21no—
240C42×C131—21no—
241C42×C131—21no—
242C42×C131—21no—
243C42×C131—44no—
244C42×C131C2×D411yescharacteristic
245C42×C131C2×D411yescharacteristic
246C42×C131C2×D412yes—
247C42×C131#4112yes—
248C42×C131#4112yes—
249C23×C131—22no—
250C23×C131—21no—
251C23×C131—22no—
252C23×C131—22no—
253C23×C131—44no—
254C23×C131—44no—
255C23×C131—41no—
256C23×C131—41no—
257C23×C131—41no—
258C23×C131C22×D411yescharacteristic
259Q8×C131—21no—
260Q8×C131—21no—
261Q8×C131—41no—
262Q8×C131—41no—
263Q8×C131—41no—
264Q8×C131—41no—
265Q8×C131—41no—
266Q8×C131—41no—
267Q8×C131—41no—
268Q8×C131—41no—
269Q8×C131—82no—
270D4×C131—21no—
271D4×C131—21no—
272D4×C131—41no—
273D4×C131—41no—
274D4×C131—41no—
275D4×C131—41no—
276D4×C131—41no—
277D4×C131—41no—
278D4×C131—41no—
279D4×C131—41no—
280D4×C131—41no—
281D4×C131—41no—
282D4×C131—88no—
283D4×C131—84no—
284C2×C4×C131—24no—
285C2×C4×C131—22no—
286C2×C4×C131—22no—
287C2×C4×C131—22no—
288C2×C4×C131—22no—
289C2×C4×C131—21no—
290C2×C4×C131—22no—
291C2×C4×C131—22no—
292C2×C4×C131—22no—
293C2×C4×C131—22no—
294C2×C4×C131—42no—
295C2×C4×C131—42no—
296C2×C4×C131—41no—
297C2×C4×C131—41no—
298C2×C4×C131—41no—
299C2×C4×C131—41no—
300C2×C4×C131—41no—
301C2×C4×C131—82no—
302C2×C4×C131—84no—
303C2×C4×C131#12012yes—
304C2×C4×C131#12012yes—
305C2×C4×C131C22×D411yescharacteristic
306C2×C4×C131C22×D411yescharacteristic
307C2×C4×C131C2×#4111yescharacteristic
308C2×C4×C131C2×#4111yescharacteristic
309C2×C4×C131H(5,𝔽2)11yescharacteristic
310C2×C4×C131H(5,𝔽2)11yescharacteristic
311C8×C131—41no—
312C8×C131—41no—
313C8×C131—41no—
314C8×C131—41no—
315C22×C131—22no—
316C22×C131—41no—
317C22×C131—42no—
318C22×C131—42no—
319C22×C131—44no—
320C22×C131—82no—
321C22×C131—82no—
322C22×C131—82no—
323C22×C131—82no—
324C22×C131—81no—
325C22×C131—82no—
326C22×C131C2×#12011yescharacteristic
327C22×C131#54611yescharacteristic
328C22×C131#54611yescharacteristic
329C4×C131—24no—
330C4×C131—22no—
331C4×C131—22no—
332C4×C131—42no—
333C4×C131—42no—
334C4×C131—41no—
335C4×C131—42no—
336C4×C131—42no—
337C4×C131—42no—
338C4×C131—81no—
339C4×C131#53211yescharacteristic
340C4×C131#53511yescharacteristic
341C4×C131#55011yescharacteristic
342C4×C131#55011yescharacteristic
343C2×C131—21no—
344C2×C131—21no—
345C2×C131—81no—
346C2×C131—82no—
347C2×C131—161no—
348C2×C131#243111yescharacteristic
349C2×C131#301812yes—
350#25592C13111yesmaximal, characteristic, direct product factor, Sylow
351C131#2559211yescharacteristic, direct product factor, Sylow
352#3510C2×C13111yescharacteristic, complemented
353#3140C2×C13111yescharacteristic, complemented
354#3040C2×C13111yescharacteristic, complemented
355#2858C2×C13111yescharacteristic, complemented
356#2005C2×C13111yescharacteristic, complemented
357#2004C2×C13111yescharacteristic, complemented
358#2003C2×C13111yescharacteristic, complemented
359#2002C2×C13111yescharacteristic
360#1994C2×C13111yescharacteristic, complemented
361#1967C2×C13111yescharacteristic, complemented
362#1888C2×C13111yescharacteristic, complemented
363#1887C2×C13111yescharacteristic, complemented
364#1886C2×C13111yescharacteristic, complemented
365#1885C2×C13111yescharacteristic, complemented
366C4×#104C2×C13111yescharacteristic, complemented
367C2×#137C22×C13111yescharacteristic
368C2×AGL(1,ℤ/8)C22×C13111yescharacteristic
369#559—22no—
370#556—22no—
371#551—24no—
372#542—22no—
373#536C22×C13111yescharacteristic
374#535C22×C13111yescharacteristic
375#533C22×C13111yescharacteristic
376C2×C4⋊Q8C22×C13111yescharacteristic
377C2×#127C22×C13111yescharacteristic
378#529—22no—
379C2×#124C22×C13111yescharacteristic
380C2×#124C22×C13111yescharacteristic
381C2×#124C22×C13111yescharacteristic
382C2×#124C22×C13111yescharacteristic
383#519C22×C13111yescharacteristic
384#518C22×C13111yescharacteristic
385C4×#41C22×C13111yescharacteristic
386#489—22no—
387#488—22no—
388#464—22no—
389#463—22no—
390#423C22×C13111yescharacteristic
391C2×#104C22×C13111yescharacteristic
392C2×#104C22×C13111yescharacteristic
393#419C22×C13111yescharacteristic
394#419C22×C13111yescharacteristic
395#419C22×C13111yescharacteristic
396#418C22×C13111yescharacteristic
397#418C22×C13111yescharacteristic
398#418C22×C13111yescharacteristic
399C2×#101C22×C13111yescharacteristic
400C2×#101C22×C13111yescharacteristic
401C2×#100C22×C13111yescharacteristic
402C2×#100C22×C13111yescharacteristic
403C4×M16C22×C13111yescharacteristic
404#390—24no—
405C43C22×C13111yescharacteristic
406#339C22×C13111yescharacteristic
407#339C22×C13111yescharacteristic
408#339C22×C13111yescharacteristic
409#339C22×C13111yescharacteristic
410#339C22×C13111yescharacteristic
411#339C22×C13111yescharacteristic
412C2×#41C23×C13111yescharacteristic
413C22×Q8C23×C13111yescharacteristic
414C22×Q8C23×C13111yescharacteristic
415C22×D4—22no—
416C22×D4C23×C13111yescharacteristic
417C22×D4C23×C13111yescharacteristic
418#137—41no—
419#137—41no—
420AGL(1,ℤ/8)—41no—
421AGL(1,ℤ/8)—41no—
422C2×Q16—21no—
423C2×SD16—21no—
424C2×SD16—21no—
425C2×D8—21no—
426C2×M16C23×C13111yescharacteristic
427C2×M16C23×C13111yescharacteristic
428C2×M16C23×C13111yescharacteristic
429C2×M16C23×C13111yescharacteristic
430C4⋊Q8—21no—
431C4⋊Q8—22no—
432C4⋊Q8—41no—
433C4⋊Q8D4×C13112yescomplemented
434#127—21no—
435#127—22no—
436#127—41no—
437#126—24no—
438#126—24no—
439#125D4×C13112yescomplemented
440#124—24no—
441#124—21no—
442#124—21no—
443#124—21no—
444#124—21no—
445#124—22no—
446#124—22no—
447#124—21no—
448#124—21no—
449#124—22no—
450#124—22no—
451#124—41no—
452#124—41no—
453#123—24no—
454#123—24no—
455#123—22no—
456C22⋊Q8—24no—
457C22⋊Q8—22no—
458C22⋊Q8—22no—
459#121—22no—
460#120—22no—
461C4×Q8—22no—
462C4×Q8—22no—
463C4×Q8—22no—
464C4×Q8D4×C13112yescomplemented
465C4×D4—24no—
466C4×D4—22no—
467C4×D4—22no—
468C4×D4—22no—
469C4×D4D4×C13112yescomplemented
470#117—24no—
471#117—22no—
472#117—21no—
473#117C23×C13111yescharacteristic
474#117C23×C13111yescharacteristic
475#117C23×C13111yescharacteristic
476C2×C4⋊C4—22no—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—22no—
479C2×C22⋊C4—22no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4D4×C13114yes—
482C2×C42—21no—
483C2×C42—22no—
484C2×C42C23×C13111yescharacteristic
485C2×C42C23×C13111yescharacteristic
486C2×C42C23×C13111yescharacteristic
487C4⋊C8—22no—
488#104—22no—
489#104—22no—
490#103—22no—
491#103—22no—
492#103—22no—
493#102—22no—
494#102—22no—
495#102—22no—
496#101—41no—
497#101—41no—
498#100—41no—
499#100—41no—
500#97—21no—
501C4×C8—21no—
502C24—21no—
503C24C2×D4×C13112yes—
504#41—21no—
505#41—21no—
506#41—21no—
507#41—21no—
508C2×Q8—22no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8C2×D4×C13111yescharacteristic
522C2×D4—21no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—44no—
537C2×D4—48no—
538C2×D4C2×D4×C13111yescharacteristic
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—24no—
542C22×C4—21no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4C2×D4×C13112yes—
546C22×C4C2×D4×C13112yes—
547C22×C4C24×C13111yescharacteristic
548Q16—42no—
549SD16—42no—
550SD16—42no—
551D8—42no—
552M16—21no—
553M16—21no—
554M16—21no—
555M16—21no—
556M16—21no—
557M16—21no—
558M16—21no—
559M16—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—44no—
571C4⋊C4C2×D4×C13112yes—
572C4⋊C4C2×D4×C13112yes—
573C4⋊C4C2×D4×C13112yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—22no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C42—24no—
588C42—22no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—44no—
595C42C2×D4×C13111yescharacteristic
596C42C2×D4×C13111yescharacteristic
597C42C2×D4×C13112yes—
598C42#41×C13112yes—
599C42#41×C13112yes—
600C23—22no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—44no—
605C23—44no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23C22×D4×C13111yescharacteristic
610Q8—21no—
611Q8—21no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—82no—
621D4—21no—
622D4—21no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—88no—
634D4—84no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—82no—
653C2×C4—84no—
654C2×C4#120×C13112yes—
655C2×C4#120×C13112yes—
656C2×C4C22×D4×C13111yescharacteristic
657C2×C4C22×D4×C13111yescharacteristic
658C2×C4C2×#41×C13111yescharacteristic
659C2×C4C2×#41×C13111yescharacteristic
660C2×C4H(5,𝔽2)×C13111yescharacteristic
661C2×C4H(5,𝔽2)×C13111yescharacteristic
662C8—41no—
663C8—41no—
664C8—41no—
665C8—41no—
666C22—22no—
667C22—42no—
668C22—44no—
669C22—41no—
670C22—42no—
671C22—82no—
672C22—82no—
673C22—82no—
674C22—82no—
675C22—82no—
676C22—81no—
677C22C2×#120×C13111yescharacteristic
678C22#546×C13111yescharacteristic
679C22#546×C13111yescharacteristic
680C4—24no—
681C4—22no—
682C4—22no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—41no—
689C4—81no—
690C4#532×C13111yescharacteristic
691C4#535×C13111yescharacteristic
692C4#550×C13111yescharacteristic
693C4#550×C13111yescharacteristic
694C2—21no—
695C2—21no—
696C2—82no—
697C2—81no—
698C2—161no—
699C2#2431×C13111yescharacteristic
700C2#3018×C13112yes—
subgroupG/H
center, socleC22×C131C2×#120
commutator, Frattini, cosocleC22×C4C24×C131
prime radical#2002×C131C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C131 ◁ C2×C42×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3510×C131C2semidirect
2. #3140×C131C2semidirect
3. #3040×C131C2semidirect
4. #2858×C131C2semidirect
5. #2005×C131C2semidirect
6. #2004×C131C2semidirect
7. #2003×C131C2semidirect
9. #1994×C131C2semidirect
10. #1967×C131C2semidirect
11. #1888×C131C2semidirect
12. #1887×C131C2semidirect
13. #1886×C131C2semidirect
14. #1885×C131C2semidirect
15. C4×#104×C131C2semidirect
82. C4⋊Q8×C131D4semidirect
88. #125×C131D4semidirect
113. C4×Q8×C131D4semidirect
118. C4×D4×C131D4semidirect
350. #25592C131direct (N × H)
351. C131#25592direct (N × H)
352. #3510C2×C131semidirect
353. #3140C2×C131semidirect
354. #3040C2×C131semidirect
355. #2858C2×C131semidirect
356. #2005C2×C131semidirect
357. #2004C2×C131semidirect
358. #2003C2×C131semidirect
360. #1994C2×C131semidirect
361. #1967C2×C131semidirect
362. #1888C2×C131semidirect
363. #1887C2×C131semidirect
364. #1886C2×C131semidirect
365. #1885C2×C131semidirect
366. C4×#104C2×C131semidirect
433. C4⋊Q8D4×C131semidirect
439. #125D4×C131semidirect
464. C4×Q8D4×C131semidirect
469. C4×D4D4×C131semidirect

Maximal subgroups

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

subgroupindex
#3510×C1312
#3140×C1312
#3040×C1312
#2858×C1312
#2005×C1312
#2004×C1312
#2003×C1312
#2002×C1312
#1994×C1312
#1967×C1312
#1888×C1312
#1887×C1312
#1886×C1312
#1885×C1312
C4×#104×C1312
#25592131