Finite Group Databasebeta

← C131×#24260 #45710144

Subgroups — C131×#24260 #45710144

Order 33536.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3496×C131C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C131C212yesmaximal, complemented
3#2847×C131C212yesmaximal, complemented
4C4×#120×C131C211yesmaximal, characteristic, complemented
5#2044×C131C212yesmaximal, complemented
6#2021×C131C212yesmaximal, complemented
7#1964×C131C212yesmaximal, complemented
8#1799×C131C211yesmaximal, characteristic, complemented
9#1790×C131C212yesmaximal, complemented
10C2×H(5,𝔽2)×C131C2212yes—
11C24×C4×C131C2211yescharacteristic, complemented
12#547×C131—22no—
13#546×C131—24no—
14D42×C131—22no—
15#537×C131—21no—
16#534×C131—21no—
17#534×C131C2212yes—
18#532×C131—21no—
19C2×#121×C131—21no—
20C2×#121×C131—22no—
21C2×#121×C131C2212yes—
22C2×#120×C131C2211yescharacteristic
23C2×#120×C131C2214yescomplemented
24C2×C4×D4×C131—21no—
25C2×C4×D4×C131C2211yescharacteristic
26B(4,𝔽2)×C131—28no—
27C2×#99×C131C2212yes—
28C2×#99×C131C2214yescomplemented
29C2×#99×C131C2214yescomplemented
30#386×C131—21no—
31#386×C131—24no—
32#386×C131C2211yescharacteristic
33#386×C131C2214yescomplemented
34#385×C131—21no—
35#385×C131C2211yescharacteristic, complemented
36#380×C131—22no—
37#380×C131C2212yescomplemented
38#379×C131C2211yescharacteristic, complemented
39C4×C22⋊C4×C131—21no—
40C4×C22⋊C4×C131C2211yescharacteristic, complemented
41#342×C131C2212yescomplemented
42C25×C131C2311yescharacteristic
43H(5,𝔽2)×C131—24no—
44H(5,𝔽2)×C131—24no—
45H(5,𝔽2)×C131—44no—
46C2×#41×C131—22no—
47C2×#41×C131—24no—
48C22×D4×C131—21no—
49C22×D4×C131—22no—
50C22×D4×C131—24no—
51C22×D4×C131—21no—
52C22×D4×C131—24no—
53C22×D4×C131D412yescomplemented
54C22×D4×C131C2314yes—
55C22×D4×C131C2311yescharacteristic
56C23×C4×C131—21no—
57C23×C4×C131—22no—
58C23×C4×C131—21no—
59C23×C4×C131—22no—
60C23×C4×C131—44no—
61C23×C4×C131D411yescharacteristic, complemented
62C23×C4×C131C2311yescharacteristic
63C23×C4×C131C2311yescharacteristic
64C4⋊Q8×C131—21no—
65#127×C131—21no—
66#124×C131—22no—
67#123×C131—24no—
68#123×C131—24no—
69C22⋊Q8×C131—24no—
70#121×C131—22no—
71#121×C131—22no—
72#121×C131—24no—
73#121×C131—22no—
74#121×C131—22no—
75#121×C131—22no—
76#121×C131—22no—
77#121×C131—22no—
78#121×C131—22no—
79#121×C131—48no—
80#120×C131—24no—
81#120×C131—24no—
82#120×C131—22no—
83#120×C131—28no—
84#120×C131—44no—
85#120×C131D414yescomplemented
86C4×D4×C131—22no—
87C4×D4×C131—22no—
88C4×D4×C131—22no—
89C4×D4×C131—22no—
90C4×D4×C131—44no—
91C2×C4⋊C4×C131—21no—
92C2×C4⋊C4×C131—21no—
93C2×C4⋊C4×C131—22no—
94C2×C4⋊C4×C131D411yescharacteristic, complemented
95C2×C4⋊C4×C131D412yescomplemented
96C2×C22⋊C4×C131—22no—
97C2×C22⋊C4×C131—21no—
98C2×C22⋊C4×C131—21no—
99C2×C22⋊C4×C131—24no—
100C2×C22⋊C4×C131—21no—
101C2×C22⋊C4×C131—24no—
102C2×C22⋊C4×C131—21no—
103C2×C22⋊C4×C131D411yescharacteristic, complemented
104C2×C22⋊C4×C131D414yescomplemented
105C2×C22⋊C4×C131C2314yes—
106C2×C22⋊C4×C131C2311yescharacteristic
107C2×C22⋊C4×C131C2311yescharacteristic
108C2×C22⋊C4×C131C2311yescharacteristic
109C2×C42×C131—21no—
110C2×C42×C131D411yescharacteristic, complemented
111#99×C131—24no—
112#99×C131—28no—
113#99×C131—44no—
114#95×C131—21no—
115#95×C131—21no—
116#95×C131—21no—
117#95×C131—24no—
118#95×C131—22no—
119C24×C131—21no—
120C24×C131—22no—
121C24×C131—22no—
122C24×C131—21no—
123C24×C131—22no—
124C24×C131—42no—
125C24×C131—42no—
126C24×C131C2×D414yes—
127C24×C131C2×D411yescharacteristic
128C24×C131C2×D412yescomplemented
129C24×C131C2411yescharacteristic
130#41×C131—48no—
131#41×C131—48no—
132#41×C131—44no—
133#41×C131—44no—
134C2×Q8×C131—22no—
135C2×D4×C131—22no—
136C2×D4×C131—22no—
137C2×D4×C131—24no—
138C2×D4×C131—22no—
139C2×D4×C131—24no—
140C2×D4×C131—24no—
141C2×D4×C131—24no—
142C2×D4×C131—24no—
143C2×D4×C131—24no—
144C2×D4×C131—24no—
145C2×D4×C131—24no—
146C2×D4×C131—22no—
147C2×D4×C131—22no—
148C2×D4×C131—22no—
149C2×D4×C131—22no—
150C2×D4×C131—44no—
151C2×D4×C131—48no—
152C2×D4×C131—48no—
153C2×D4×C131—42no—
154C2×D4×C131—42no—
155C2×D4×C131—44no—
156C2×D4×C131—44no—
157C2×D4×C131—48no—
158C2×D4×C131—48no—
159C2×D4×C131—48no—
160C2×D4×C131—82no—
161C2×D4×C131C2×D412yes—
162C2×D4×C131#4112yes—
163C22×C4×C131—22no—
164C22×C4×C131—24no—
165C22×C4×C131—24no—
166C22×C4×C131—28no—
167C22×C4×C131—21no—
168C22×C4×C131—22no—
169C22×C4×C131—21no—
170C22×C4×C131—21no—
171C22×C4×C131—21no—
172C22×C4×C131—21no—
173C22×C4×C131—24no—
174C22×C4×C131—42no—
175C22×C4×C131—42no—
176C22×C4×C131—42no—
177C22×C4×C131—44no—
178C22×C4×C131—44no—
179C22×C4×C131—42no—
180C22×C4×C131—42no—
181C22×C4×C131—42no—
182C22×C4×C131—44no—
183C22×C4×C131—41no—
184C22×C4×C131—42no—
185C22×C4×C131—41no—
186C22×C4×C131C2×D414yes—
187C22×C4×C131C2×D411yescharacteristic
188C22×C4×C131C2×D412yes—
189C22×C4×C131C2×D411yescharacteristic
190C22×C4×C131C2×D411yescharacteristic
191C22×C4×C131C2×D411yescharacteristic
192C22×C4×C131C2×D412yes—
193C22×C4×C131C2×D411yescharacteristic
194C4⋊C4×C131—22no—
195C4⋊C4×C131—22no—
196C4⋊C4×C131—22no—
197C4⋊C4×C131—22no—
198C4⋊C4×C131—22no—
199C4⋊C4×C131—42no—
200C4⋊C4×C131—44no—
201C22⋊C4×C131—24no—
202C22⋊C4×C131—24no—
203C22⋊C4×C131—22no—
204C22⋊C4×C131—21no—
205C22⋊C4×C131—24no—
206C22⋊C4×C131—22no—
207C22⋊C4×C131—24no—
208C22⋊C4×C131—24no—
209C22⋊C4×C131—24no—
210C22⋊C4×C131—22no—
211C22⋊C4×C131—24no—
212C22⋊C4×C131—48no—
213C22⋊C4×C131—42no—
214C22⋊C4×C131—48no—
215C22⋊C4×C131—42no—
216C22⋊C4×C131—42no—
217C22⋊C4×C131C2×D412yescomplemented
218C42×C131—21no—
219C42×C131—21no—
220C42×C131—42no—
221C23×C131—22no—
222C23×C131—22no—
223C23×C131—24no—
224C23×C131—24no—
225C23×C131—21no—
226C23×C131—22no—
227C23×C131—24no—
228C23×C131—21no—
229C23×C131—24no—
230C23×C131—24no—
231C23×C131—24no—
232C23×C131—41no—
233C23×C131—44no—
234C23×C131—41no—
235C23×C131—41no—
236C23×C131—42no—
237C23×C131—41no—
238C23×C131—42no—
239C23×C131—44no—
240C23×C131—48no—
241C23×C131—41no—
242C23×C131—41no—
243C23×C131—44no—
244C23×C131—44no—
245C23×C131—44no—
246C23×C131—41no—
247C23×C131—41no—
248C23×C131—42no—
249C23×C131—82no—
250C23×C131—82no—
251C23×C131#12112yescomplemented
252C23×C131C22×D411yescharacteristic
253C23×C131C22×D412yes—
254C23×C131C22×D411yescharacteristic
255C23×C131C2×#4111yescharacteristic
256C23×C131H(5,𝔽2)12yes—
257Q8×C131—44no—
258D4×C131—24no—
259D4×C131—24no—
260D4×C131—44no—
261D4×C131—48no—
262D4×C131—48no—
263D4×C131—44no—
264D4×C131—44no—
265D4×C131—44no—
266D4×C131—44no—
267D4×C131—44no—
268D4×C131—82no—
269D4×C131—82no—
270D4×C131—82no—
271D4×C131—816no—
272C2×C4×C131—21no—
273C2×C4×C131—21no—
274C2×C4×C131—22no—
275C2×C4×C131—24no—
276C2×C4×C131—24no—
277C2×C4×C131—22no—
278C2×C4×C131—21no—
279C2×C4×C131—21no—
280C2×C4×C131—24no—
281C2×C4×C131—22no—
282C2×C4×C131—24no—
283C2×C4×C131—24no—
284C2×C4×C131—42no—
285C2×C4×C131—41no—
286C2×C4×C131—44no—
287C2×C4×C131—48no—
288C2×C4×C131—48no—
289C2×C4×C131—41no—
290C2×C4×C131—41no—
291C2×C4×C131—42no—
292C2×C4×C131—41no—
293C2×C4×C131—44no—
294C2×C4×C131—41no—
295C2×C4×C131—44no—
296C2×C4×C131—42no—
297C2×C4×C131—41no—
298C2×C4×C131—41no—
299C2×C4×C131—41no—
300C2×C4×C131—44no—
301C2×C4×C131—41no—
302C2×C4×C131—44no—
303C2×C4×C131—41no—
304C2×C4×C131—44no—
305C2×C4×C131—81no—
306C2×C4×C131#12011yescharacteristic
307C2×C4×C131#12012yes—
308C2×C4×C131#12011yescharacteristic
309C2×C4×C131#12112yescomplemented
310C22×C131—21no—
311C22×C131—22no—
312C22×C131—21no—
313C22×C131—22no—
314C22×C131—24no—
315C22×C131—28no—
316C22×C131—22no—
317C22×C131—41no—
318C22×C131—41no—
319C22×C131—42no—
320C22×C131—42no—
321C22×C131—42no—
322C22×C131—44no—
323C22×C131—42no—
324C22×C131—42no—
325C22×C131—44no—
326C22×C131—44no—
327C22×C131—42no—
328C22×C131—42no—
329C22×C131—41no—
330C22×C131—42no—
331C22×C131—41no—
332C22×C131—44no—
333C22×C131—44no—
334C22×C131—44no—
335C22×C131—81no—
336C22×C131—84no—
337C22×C131—84no—
338C22×C131—164no—
339C22×C131C2×#12011yescharacteristic
340C22×C131C2×#12111yescharacteristic
341C22×C131#53511yescharacteristic
342C22×C131D4212yes—
343C22×C131#54612yes—
344C4×C131—22no—
345C4×C131—21no—
346C4×C131—22no—
347C4×C131—42no—
348C4×C131—44no—
349C4×C131—42no—
350C4×C131—41no—
351C4×C131—41no—
352C4×C131—81no—
353C4×C131—84no—
354C4×C131B(4,𝔽2)12yescomplemented
355C2×C131—21no—
356C2×C131—22no—
357C2×C131—21no—
358C2×C131—22no—
359C2×C131—44no—
360C2×C131—42no—
361C2×C131—84no—
362C2×C131#240811yescharacteristic
363C2×C131C2×B(4,𝔽2)11yescharacteristic
364C2×C131#302511yescharacteristic
365#24260C13111yesmaximal, characteristic, direct product factor, Sylow
366C131#2426011yescharacteristic, direct product factor, Sylow
367#3496C2×C13111yescharacteristic, complemented
368C2×B(4,𝔽2)C2×C13112yescomplemented
369#2847C2×C13112yescomplemented
370C4×#120C2×C13111yescharacteristic, complemented
371#2044C2×C13112yescomplemented
372#2021C2×C13112yescomplemented
373#1964C2×C13112yescomplemented
374#1799C2×C13111yescharacteristic, complemented
375#1790C2×C13112yescomplemented
376C2×H(5,𝔽2)C22×C13112yes—
377C24×C4C22×C13111yescharacteristic, complemented
378#547—22no—
379#546—24no—
380D42—22no—
381#537—21no—
382#534—21no—
383#534C22×C13112yes—
384#532—21no—
385C2×#121—21no—
386C2×#121—22no—
387C2×#121C22×C13112yes—
388C2×#120C22×C13111yescharacteristic
389C2×#120C22×C13114yescomplemented
390C2×C4×D4—21no—
391C2×C4×D4C22×C13111yescharacteristic
392B(4,𝔽2)—28no—
393C2×#99C22×C13112yes—
394C2×#99C22×C13114yescomplemented
395C2×#99C22×C13114yescomplemented
396#386—24no—
397#386—21no—
398#386C22×C13111yescharacteristic
399#386C22×C13114yescomplemented
400#385—21no—
401#385C22×C13111yescharacteristic, complemented
402#380—22no—
403#380C22×C13112yescomplemented
404#379C22×C13111yescharacteristic, complemented
405C4×C22⋊C4—21no—
406C4×C22⋊C4C22×C13111yescharacteristic, complemented
407#342C22×C13112yescomplemented
408C25C23×C13111yescharacteristic
409H(5,𝔽2)—24no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)—44no—
412C2×#41—22no—
413C2×#41—24no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4—24no—
417C22×D4—21no—
418C22×D4—24no—
419C22×D4D4×C13112yescomplemented
420C22×D4C23×C13114yes—
421C22×D4C23×C13111yescharacteristic
422C23×C4—21no—
423C23×C4—22no—
424C23×C4—21no—
425C23×C4—22no—
426C23×C4—44no—
427C23×C4D4×C13111yescharacteristic, complemented
428C23×C4C23×C13111yescharacteristic
429C23×C4C23×C13111yescharacteristic
430C4⋊Q8—21no—
431#127—21no—
432#124—22no—
433#123—24no—
434#123—24no—
435C22⋊Q8—24no—
436#121—22no—
437#121—22no—
438#121—24no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—48no—
446#120—24no—
447#120—24no—
448#120—22no—
449#120—28no—
450#120—44no—
451#120D4×C13114yescomplemented
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—44no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4D4×C13111yescharacteristic, complemented
461C2×C4⋊C4D4×C13112yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—24no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4D4×C13111yescharacteristic, complemented
470C2×C22⋊C4D4×C13114yescomplemented
471C2×C22⋊C4C23×C13114yes—
472C2×C22⋊C4C23×C13111yescharacteristic
473C2×C22⋊C4C23×C13111yescharacteristic
474C2×C22⋊C4C23×C13111yescharacteristic
475C2×C42—21no—
476C2×C42D4×C13111yescharacteristic, complemented
477#99—24no—
478#99—28no—
479#99—44no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—24no—
484#95—22no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—21no—
489C24—22no—
490C24—42no—
491C24—42no—
492C24C2×D4×C13114yes—
493C24C2×D4×C13111yescharacteristic
494C24C2×D4×C13112yescomplemented
495C24C24×C13111yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—44no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—48no—
525C2×D4—48no—
526C2×D4—82no—
527C2×D4C2×D4×C13112yes—
528C2×D4#41×C13112yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—41no—
550C22×C4—42no—
551C22×C4—41no—
552C22×C4C2×D4×C13114yes—
553C22×C4C2×D4×C13111yescharacteristic
554C22×C4C2×D4×C13112yes—
555C22×C4C2×D4×C13111yescharacteristic
556C22×C4C2×D4×C13111yescharacteristic
557C22×C4C2×D4×C13111yescharacteristic
558C22×C4C2×D4×C13112yes—
559C22×C4C2×D4×C13111yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—24no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—42no—
580C22⋊C4—48no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4C2×D4×C13112yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—41no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—44no—
606C23—48no—
607C23—41no—
608C23—41no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23#121×C13112yescomplemented
618C23C22×D4×C13111yescharacteristic
619C23C22×D4×C13112yes—
620C23C22×D4×C13111yescharacteristic
621C23C2×#41×C13111yescharacteristic
622C23H(5,𝔽2)×C13112yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—44no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—816no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—81no—
672C2×C4#120×C13111yescharacteristic
673C2×C4#120×C13112yes—
674C2×C4#120×C13111yescharacteristic
675C2×C4#121×C13112yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—41no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—81no—
702C22—84no—
703C22—84no—
704C22—164no—
705C22C2×#120×C13111yescharacteristic
706C22C2×#121×C13111yescharacteristic
707C22#535×C13111yescharacteristic
708C22D42×C13112yes—
709C22#546×C13112yes—
710C4—21no—
711C4—22no—
712C4—22no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—41no—
717C4—44no—
718C4—84no—
719C4—81no—
720C4B(4,𝔽2)×C13112yescomplemented
721C2—21no—
722C2—22no—
723C2—21no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—84no—
728C2#2408×C13111yescharacteristic
729C2C2×B(4,𝔽2)×C13111yescharacteristic
730C2#3025×C13111yescharacteristic
subgroupG/H
center, socleC22×C131C2×#120
commutator, Frattini, cosocleC24C24×C131
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C131 ◁ C23×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3496×C131C2semidirect
2. C2×B(4,𝔽2)×C131C2semidirect
3. #2847×C131C2semidirect
4. C4×#120×C131C2semidirect
5. #2044×C131C2semidirect
6. #2021×C131C2semidirect
7. #1964×C131C2semidirect
8. #1799×C131C2semidirect
9. #1790×C131C2semidirect
11. C24×C4×C131C22semidirect
23. C2×#120×C131C22semidirect
28. C2×#99×C131C22semidirect
29. C2×#99×C131C22semidirect
33. #386×C131C22semidirect
35. #385×C131C22semidirect
37. #380×C131C22semidirect
38. #379×C131C22semidirect
40. C4×C22⋊C4×C131C22semidirect
41. #342×C131C22semidirect
53. C22×D4×C131D4semidirect
61. C23×C4×C131D4semidirect
85. #120×C131D4semidirect
94. C2×C4⋊C4×C131D4semidirect
95. C2×C4⋊C4×C131D4semidirect
103. C2×C22⋊C4×C131D4semidirect
104. C2×C22⋊C4×C131D4semidirect
110. C2×C42×C131D4semidirect
128. C24×C131C2×D4semidirect
217. C22⋊C4×C131C2×D4semidirect
251. C23×C131#121semidirect
309. C2×C4×C131#121semidirect
354. C4×C131B(4,𝔽2)semidirect
365. #24260C131direct (N × H)
366. C131#24260direct (N × H)
367. #3496C2×C131semidirect
368. C2×B(4,𝔽2)C2×C131semidirect
369. #2847C2×C131semidirect
370. C4×#120C2×C131semidirect
371. #2044C2×C131semidirect
372. #2021C2×C131semidirect
373. #1964C2×C131semidirect
374. #1799C2×C131semidirect
375. #1790C2×C131semidirect
377. C24×C4C22×C131semidirect
389. C2×#120C22×C131semidirect
394. C2×#99C22×C131semidirect
395. C2×#99C22×C131semidirect
399. #386C22×C131semidirect
401. #385C22×C131semidirect
403. #380C22×C131semidirect
404. #379C22×C131semidirect
406. C4×C22⋊C4C22×C131semidirect
407. #342C22×C131semidirect
419. C22×D4D4×C131semidirect
427. C23×C4D4×C131semidirect
451. #120D4×C131semidirect
460. C2×C4⋊C4D4×C131semidirect
461. C2×C4⋊C4D4×C131semidirect
469. C2×C22⋊C4D4×C131semidirect
470. C2×C22⋊C4D4×C131semidirect
476. C2×C42D4×C131semidirect
494. C24C2×D4×C131semidirect
583. C22⋊C4C2×D4×C131semidirect
617. C23#121×C131semidirect
675. C2×C4#121×C131semidirect
720. C4B(4,𝔽2)×C131semidirect

Maximal subgroups

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

subgroupindex
#3496×C1312
C2×B(4,𝔽2)×C1312
#2847×C1312
C4×#120×C1312
#2044×C1312
#2021×C1312
#1964×C1312
#1799×C1312
#1790×C1312
#24260131