Finite Group Databasebeta

← C131×#18450 #45704334

Subgroups — C131×#18450 #45704334

Order 33536.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C131C211yesmaximal, characteristic, complemented
2#3194×C131C211yesmaximal, characteristic, complemented
3#3186×C131C211yesmaximal, characteristic, complemented
4#2815×C131C211yesmaximal, characteristic, complemented
5#1612×C131C212yesmaximal, complemented
6#1607×C131C212yesmaximal, complemented
7#1600×C131C212yesmaximal, complemented
8#1595×C131C212yesmaximal, complemented
9#1516×C131C211yesmaximal, characteristic, complemented
10#1510×C131C211yesmaximal, characteristic, complemented
11#1471×C131C211yesmaximal, characteristic, complemented
12#560×C131—22no—
13#553×C131—21no—
14#553×C131—21no—
15D42×C131—22no—
16D42×C131—21no—
17D42×C131—21no—
18#540×C131—21no—
19#538×C131—21no—
20#538×C131C2212yes—
21#535×C131—21no—
22#534×C131—21no—
23#534×C131C2212yes—
24#525×C131C2211yescharacteristic
25C2×#121×C131C2211yescharacteristic
26C2×#121×C131C2211yescharacteristic
27C2×#121×C131C2211yescharacteristic, complemented
28#483×C131C2211yescharacteristic, complemented
29#482×C131—21no—
30#480×C131—21no—
31#480×C131C2211yescharacteristic, complemented
32#480×C131C2212yescomplemented
33#469×C131—21no—
34#468×C131—21no—
35#466×C131—22no—
36#450×C131C2211yescharacteristic, complemented
37#449×C131—21no—
38#447×C131—21no—
39#447×C131C2211yescharacteristic, complemented
40#447×C131C2212yescomplemented
41#407×C131C2211yescharacteristic, complemented
42C2×C22⋊C8×C131C2211yescharacteristic, complemented
43#397×C131—21no—
44#397×C131C2212yescomplemented
45#392×C131—22no—
46#392×C131—21no—
47#392×C131C2212yescomplemented
48#381×C131C2211yescharacteristic, complemented
49#328×C131C2212yescomplemented
50#327×C131C2212yescomplemented
51#327×C131C2212yescomplemented
52#327×C131C2212yescomplemented
53#323×C131C2212yescomplemented
54#323×C131C2212yescomplemented
55C2×#41×C131D411yescharacteristic, complemented
56C22×D4×C131—22no—
57C22×D4×C131—21no—
58C22×D4×C131—21no—
59C22×D4×C131—22no—
60C22×D4×C131—21no—
61C22×D4×C131—22no—
62C22×D4×C131D412yes—
63C22×D4×C131D411yescharacteristic
64C22×D4×C131D411yescharacteristic, complemented
65C22×D4×C131C2311yescharacteristic
66C23×C4×C131C2311yescharacteristic
67C2×SD16×C131—21no—
68C2×D8×C131—22no—
69C2×D8×C131—21no—
70C2×M16×C131—21no—
71C22×C8×C131—21no—
72#127×C131—22no—
73#127×C131—21no—
74#126×C131—22no—
75#126×C131—22no—
76#125×C131—21no—
77#124×C131—22no—
78#123×C131—22no—
79#123×C131—21no—
80#123×C131—22no—
81#123×C131—22no—
82#123×C131—22no—
83C22⋊Q8×C131D411yescharacteristic, complemented
84C22⋊Q8×C131C2311yescharacteristic
85#121×C131—22no—
86#121×C131—21no—
87#121×C131—21no—
88#121×C131—22no—
89#121×C131—22no—
90#121×C131—22no—
91#121×C131—22no—
92#121×C131—21no—
93#121×C131—21no—
94#121×C131—21no—
95#121×C131—21no—
96#121×C131—21no—
97#121×C131—21no—
98#121×C131—22no—
99#121×C131—21no—
100#121×C131—21no—
101#121×C131—21no—
102#121×C131—21no—
103#121×C131D412yescomplemented
104#121×C131D411yescharacteristic, complemented
105#121×C131C2312yes—
106#121×C131C2311yescharacteristic
107#120×C131—22no—
108#120×C131—22no—
109#120×C131—22no—
110#120×C131—21no—
111#120×C131—22no—
112#120×C131—22no—
113#120×C131—22no—
114C4×D4×C131—22no—
115C4×D4×C131—21no—
116C4×D4×C131—21no—
117C4×D4×C131—21no—
118C4×D4×C131—21no—
119C4×D4×C131—22no—
120#117×C131—21no—
121#117×C131D411yescharacteristic, complemented
122C2×C4⋊C4×C131D411yescharacteristic
123C2×C4⋊C4×C131D411yescharacteristic, complemented
124C2×C4⋊C4×C131C2311yescharacteristic
125C2×C22⋊C4×C131—21no—
126C2×C22⋊C4×C131—21no—
127C2×C22⋊C4×C131—22no—
128C2×C22⋊C4×C131—21no—
129C2×C22⋊C4×C131—22no—
130C2×C22⋊C4×C131C2312yes—
131#107×C131—22no—
132#107×C131—21no—
133#106×C131—21no—
134#103×C131—21no—
135#102×C131—22no—
136#102×C131—21no—
137#102×C131—22no—
138#102×C131—21no—
139#102×C131—21no—
140C22⋊C8×C131—21no—
141C22⋊C8×C131—21no—
142C22⋊C8×C131C2312yes—
143C22⋊C8×C131C2311yescharacteristic
144C22⋊C8×C131C2311yescharacteristic
145#95×C131—22no—
146#95×C131—21no—
147#95×C131C2312yes—
148C24×C131—22no—
149C24×C131—21no—
150C24×C131—21no—
151C24×C131C2×D412yes—
152C24×C131C2×D411yescharacteristic
153#41×C131—81no—
154C2×Q8×C131C2×D411yescharacteristic
155C2×D4×C131—22no—
156C2×D4×C131—21no—
157C2×D4×C131—21no—
158C2×D4×C131—22no—
159C2×D4×C131—22no—
160C2×D4×C131—22no—
161C2×D4×C131—22no—
162C2×D4×C131—22no—
163C2×D4×C131—22no—
164C2×D4×C131—21no—
165C2×D4×C131—22no—
166C2×D4×C131—22no—
167C2×D4×C131—21no—
168C2×D4×C131—21no—
169C2×D4×C131—21no—
170C2×D4×C131—21no—
171C2×D4×C131—21no—
172C2×D4×C131—41no—
173C2×D4×C131—41no—
174C2×D4×C131—81no—
175C2×D4×C131—81no—
176C2×D4×C131—82no—
177C2×D4×C131—81no—
178C2×D4×C131—82no—
179C2×D4×C131—82no—
180C2×D4×C131—82no—
181C2×D4×C131—82no—
182C2×D4×C131—82no—
183C2×D4×C131—82no—
184C2×D4×C131—82no—
185C2×D4×C131—82no—
186C2×D4×C131—84no—
187C2×D4×C131C2×D411yescharacteristic
188C2×D4×C131C2×D412yes—
189C22×C4×C131—22no—
190C22×C4×C131—22no—
191C22×C4×C131—21no—
192C22×C4×C131—21no—
193C22×C4×C131—22no—
194C22×C4×C131—21no—
195C22×C4×C131—81no—
196C22×C4×C131C2×D412yes—
197C22×C4×C131C2×D411yescharacteristic
198C22×C4×C131C2×D411yescharacteristic
199C22×C4×C131C2×D411yescharacteristic
200C22×C4×C131C2×D411yescharacteristic
201C22×C4×C131C2×D411yescharacteristic
202C22×C4×C131C2411yescharacteristic
203SD16×C131—81no—
204D8×C131—82no—
205D8×C131—81no—
206M16×C131—81no—
207C2×C8×C131—22no—
208C2×C8×C131—21no—
209C2×C8×C131—21no—
210C2×C8×C131—81no—
211C4⋊C4×C131—22no—
212C4⋊C4×C131—22no—
213C4⋊C4×C131—21no—
214C4⋊C4×C131—21no—
215C4⋊C4×C131—21no—
216C4⋊C4×C131—21no—
217C4⋊C4×C131—21no—
218C4⋊C4×C131—21no—
219C4⋊C4×C131—21no—
220C4⋊C4×C131C2×D411yescharacteristic
221C4⋊C4×C131C2×D412yes—
222C4⋊C4×C131C2×D411yescharacteristic
223C22⋊C4×C131—22no—
224C22⋊C4×C131—22no—
225C22⋊C4×C131—22no—
226C22⋊C4×C131—22no—
227C22⋊C4×C131—22no—
228C22⋊C4×C131—21no—
229C22⋊C4×C131—21no—
230C22⋊C4×C131—21no—
231C22⋊C4×C131—22no—
232C22⋊C4×C131—21no—
233C22⋊C4×C131—22no—
234C22⋊C4×C131—22no—
235C22⋊C4×C131—22no—
236C22⋊C4×C131—21no—
237C22⋊C4×C131—41no—
238C22⋊C4×C131—41no—
239C22⋊C4×C131—82no—
240C22⋊C4×C131—82no—
241C22⋊C4×C131—81no—
242C42×C131—22no—
243C42×C131—21no—
244C23×C131—22no—
245C23×C131—22no—
246C23×C131—22no—
247C23×C131—21no—
248C23×C131—22no—
249C23×C131—22no—
250C23×C131—41no—
251C23×C131—41no—
252C23×C131—42no—
253C23×C131—42no—
254C23×C131—42no—
255C23×C131—41no—
256C23×C131—41no—
257C23×C131—42no—
258C23×C131—41no—
259C23×C131—42no—
260C23×C131—81no—
261C23×C131—81no—
262C23×C131—82no—
263C23×C131—82no—
264C23×C131—82no—
265C23×C131#12011yescharacteristic
266C23×C131#12011yescharacteristic
267C23×C131C22×D411yescharacteristic
268Q8×C131—41no—
269D4×C131—42no—
270D4×C131—41no—
271D4×C131—42no—
272D4×C131—42no—
273D4×C131—42no—
274D4×C131—41no—
275D4×C131—41no—
276D4×C131—44no—
277D4×C131—42no—
278D4×C131—42no—
279D4×C131—42no—
280D4×C131—42no—
281D4×C131—81no—
282D4×C131—82no—
283D4×C131—82no—
284D4×C131—81no—
285D4×C131—82no—
286D4×C131—82no—
287D4×C131—82no—
288D4×C131—82no—
289D4×C131—82no—
290D4×C131—82no—
291D4×C131—82no—
292D4×C131—88no—
293C2×C4×C131—21no—
294C2×C4×C131—22no—
295C2×C4×C131—22no—
296C2×C4×C131—21no—
297C2×C4×C131—21no—
298C2×C4×C131—41no—
299C2×C4×C131—41no—
300C2×C4×C131—41no—
301C2×C4×C131—41no—
302C2×C4×C131—41no—
303C2×C4×C131—41no—
304C2×C4×C131—42no—
305C2×C4×C131—42no—
306C2×C4×C131—42no—
307C2×C4×C131—42no—
308C2×C4×C131—41no—
309C2×C4×C131—42no—
310C2×C4×C131—42no—
311C2×C4×C131—81no—
312C2×C4×C131—82no—
313C2×C4×C131—82no—
314C2×C4×C131#12011yescharacteristic
315C2×C4×C131#12011yescharacteristic
316C2×C4×C131C22×D411yescharacteristic
317C2×C4×C131C22×D411yescharacteristic
318C8×C131—42no—
319C8×C131—41no—
320C8×C131—41no—
321C22×C131—21no—
322C22×C131—21no—
323C22×C131—21no—
324C22×C131—21no—
325C22×C131—21no—
326C22×C131—21no—
327C22×C131—21no—
328C22×C131—21no—
329C22×C131—42no—
330C22×C131—42no—
331C22×C131—41no—
332C22×C131—42no—
333C22×C131—42no—
334C22×C131—41no—
335C22×C131—41no—
336C22×C131—42no—
337C22×C131—42no—
338C22×C131—82no—
339C22×C131—82no—
340C22×C131—82no—
341C22×C131—82no—
342C22×C131—82no—
343C22×C131—81no—
344C22×C131—81no—
345C22×C131—81no—
346C22×C131—162no—
347C22×C131—164no—
348C22×C131C2×#12011yescharacteristic
349C22×C131#57612yes—
350C4×C131—21no—
351C4×C131—21no—
352C4×C131—21no—
353C4×C131—21no—
354C4×C131—42no—
355C4×C131—41no—
356C4×C131—42no—
357C4×C131—41no—
358C4×C131—41no—
359C4×C131—82no—
360C4×C131—81no—
361C2×C131—22no—
362C2×C131—41no—
363C2×C131—41no—
364C2×C131—82no—
365C2×C131—82no—
366C2×C131—81no—
367C2×C131—161no—
368C2×C131#300811yescharacteristic
369C2×C131#301911yescharacteristic
370C2×C131#302611yescharacteristic
371#18450C13111yesmaximal, characteristic, direct product factor, Sylow
372C131#1845011yescharacteristic, direct product factor, Sylow
373#3537C2×C13111yescharacteristic, complemented
374#3194C2×C13111yescharacteristic, complemented
375#3186C2×C13111yescharacteristic, complemented
376#2815C2×C13111yescharacteristic, complemented
377#1612C2×C13112yescomplemented
378#1607C2×C13112yescomplemented
379#1600C2×C13112yescomplemented
380#1595C2×C13112yescomplemented
381#1516C2×C13111yescharacteristic, complemented
382#1510C2×C13111yescharacteristic, complemented
383#1471C2×C13111yescharacteristic, complemented
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C13112yes—
393#535—21no—
394#534—21no—
395#534C22×C13112yes—
396#525C22×C13111yescharacteristic
397C2×#121C22×C13111yescharacteristic
398C2×#121C22×C13111yescharacteristic
399C2×#121C22×C13111yescharacteristic, complemented
400#483C22×C13111yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C13111yescharacteristic, complemented
404#480C22×C13112yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C13111yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C13111yescharacteristic, complemented
412#447C22×C13112yescomplemented
413#407C22×C13111yescharacteristic, complemented
414C2×C22⋊C8C22×C13111yescharacteristic, complemented
415#397—21no—
416#397C22×C13112yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C13112yescomplemented
420#381C22×C13111yescharacteristic, complemented
421#328C22×C13112yescomplemented
422#327C22×C13112yescomplemented
423#327C22×C13112yescomplemented
424#327C22×C13112yescomplemented
425#323C22×C13112yescomplemented
426#323C22×C13112yescomplemented
427C2×#41D4×C13111yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C13112yes—
435C22×D4D4×C13111yescharacteristic
436C22×D4D4×C13111yescharacteristic, complemented
437C22×D4C23×C13111yescharacteristic
438C23×C4C23×C13111yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C13111yescharacteristic, complemented
456C22⋊Q8C23×C13111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C13112yescomplemented
476#121D4×C13111yescharacteristic, complemented
477#121C23×C13112yes—
478#121C23×C13111yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C13111yescharacteristic, complemented
494C2×C4⋊C4D4×C13111yescharacteristic
495C2×C4⋊C4D4×C13111yescharacteristic, complemented
496C2×C4⋊C4C23×C13111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C13112yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C13111yescharacteristic
515C22⋊C8C23×C13111yescharacteristic
516C22⋊C8C23×C13112yes—
517#95—21no—
518#95—22no—
519#95C23×C13112yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C13112yes—
524C24C2×D4×C13111yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C13111yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C13111yescharacteristic
560C2×D4C2×D4×C13112yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C13112yes—
569C22×C4C2×D4×C13111yescharacteristic
570C22×C4C2×D4×C13111yescharacteristic
571C22×C4C2×D4×C13111yescharacteristic
572C22×C4C2×D4×C13111yescharacteristic
573C22×C4C2×D4×C13111yescharacteristic
574C22×C4C24×C13111yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C13111yescharacteristic
593C4⋊C4C2×D4×C13112yes—
594C4⋊C4C2×D4×C13111yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C13111yescharacteristic
638C23#120×C13111yescharacteristic
639C23C22×D4×C13111yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C13111yescharacteristic
687C2×C4#120×C13111yescharacteristic
688C2×C4C22×D4×C13111yescharacteristic
689C2×C4C22×D4×C13111yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C13111yescharacteristic
721C22#576×C13112yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2#3008×C13111yescharacteristic
741C2#3019×C13111yescharacteristic
742C2#3026×C13111yescharacteristic
subgroupG/H
center, socleC22×C131C2×#120
commutator, Frattini, cosocleC22×C4C24×C131
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C131 ◁ C23×C4×C131 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3537×C131C2semidirect
2. #3194×C131C2semidirect
3. #3186×C131C2semidirect
4. #2815×C131C2semidirect
5. #1612×C131C2semidirect
6. #1607×C131C2semidirect
7. #1600×C131C2semidirect
8. #1595×C131C2semidirect
9. #1516×C131C2semidirect
10. #1510×C131C2semidirect
11. #1471×C131C2semidirect
27. C2×#121×C131C22semidirect
28. #483×C131C22semidirect
31. #480×C131C22semidirect
32. #480×C131C22semidirect
36. #450×C131C22semidirect
39. #447×C131C22semidirect
40. #447×C131C22semidirect
41. #407×C131C22semidirect
42. C2×C22⋊C8×C131C22semidirect
44. #397×C131C22semidirect
47. #392×C131C22semidirect
48. #381×C131C22semidirect
49. #328×C131C22semidirect
50. #327×C131C22semidirect
51. #327×C131C22semidirect
52. #327×C131C22semidirect
53. #323×C131C22semidirect
54. #323×C131C22semidirect
55. C2×#41×C131D4semidirect
64. C22×D4×C131D4semidirect
83. C22⋊Q8×C131D4semidirect
103. #121×C131D4semidirect
104. #121×C131D4semidirect
121. #117×C131D4semidirect
123. C2×C4⋊C4×C131D4semidirect
371. #18450C131direct (N × H)
372. C131#18450direct (N × H)
373. #3537C2×C131semidirect
374. #3194C2×C131semidirect
375. #3186C2×C131semidirect
376. #2815C2×C131semidirect
377. #1612C2×C131semidirect
378. #1607C2×C131semidirect
379. #1600C2×C131semidirect
380. #1595C2×C131semidirect
381. #1516C2×C131semidirect
382. #1510C2×C131semidirect
383. #1471C2×C131semidirect
399. C2×#121C22×C131semidirect
400. #483C22×C131semidirect
403. #480C22×C131semidirect
404. #480C22×C131semidirect
408. #450C22×C131semidirect
411. #447C22×C131semidirect
412. #447C22×C131semidirect
413. #407C22×C131semidirect
414. C2×C22⋊C8C22×C131semidirect
416. #397C22×C131semidirect
419. #392C22×C131semidirect
420. #381C22×C131semidirect
421. #328C22×C131semidirect
422. #327C22×C131semidirect
423. #327C22×C131semidirect
424. #327C22×C131semidirect
425. #323C22×C131semidirect
426. #323C22×C131semidirect
427. C2×#41D4×C131semidirect
436. C22×D4D4×C131semidirect
455. C22⋊Q8D4×C131semidirect
475. #121D4×C131semidirect
476. #121D4×C131semidirect
493. #117D4×C131semidirect
495. C2×C4⋊C4D4×C131semidirect

Maximal subgroups

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

subgroupindex
#3537×C1312
#3194×C1312
#3186×C1312
#2815×C1312
#1612×C1312
#1607×C1312
#1600×C1312
#1595×C1312
#1516×C1312
#1510×C1312
#1471×C1312
#18450131