Finite Group Databasebeta

← C131×#18254 #45704138

Subgroups — C131×#18254 #45704138

Order 33536.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C131C211yesmaximal, characteristic, complemented
2#3003×C131C211yesmaximal, characteristic, complemented
3C2×#447×C131C211yesmaximal, characteristic, complemented
4#2433×C131C211yesmaximal, characteristic, complemented
5#1600×C131C214yesmaximal, complemented
6#1595×C131C214yesmaximal, complemented
7#1507×C131C211yesmaximal, characteristic, complemented
8#1501×C131C211yesmaximal, characteristic, complemented
9#1471×C131C211yesmaximal, characteristic, complemented
10C23×D4×C131C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C131—21no—
12C22×D8×C131—21no—
13#560×C131—22no—
14#553×C131—21no—
15#553×C131—21no—
16D42×C131—22no—
17D42×C131—21no—
18D42×C131—21no—
19#540×C131—21no—
20#538×C131—21no—
21#538×C131C2212yescomplemented
22#535×C131—21no—
23#534×C131—21no—
24#534×C131C2212yescomplemented
25C2×#127×C131—21no—
26#525×C131C2211yescharacteristic
27C2×#121×C131C2211yescharacteristic
28C2×#121×C131C2211yescharacteristic
29C2×#120×C131—22no—
30#450×C131—21no—
31#450×C131C2212yescomplemented
32#447×C131—22no—
33#447×C131—21no—
34#447×C131C2214yescomplemented
35#447×C131C2212yescomplemented
36#418×C131—21no—
37C2×#102×C131—21no—
38#407×C131C2211yescharacteristic, complemented
39C2×C22⋊C8×C131C2211yescharacteristic, complemented
40#392×C131C2214yescomplemented
41#390×C131—21no—
42C4×C22⋊C4×C131C2211yescharacteristic, complemented
43#328×C131C2212yescomplemented
44#327×C131C2212yescomplemented
45#327×C131C2214yescomplemented
46#323×C131C2214yescomplemented
47C25×C131—21no—
48C2×#41×C131D411yescharacteristic, complemented
49C22×D4×C131—22no—
50C22×D4×C131—21no—
51C22×D4×C131—21no—
52C22×D4×C131—22no—
53C22×D4×C131—24no—
54C22×D4×C131—21no—
55C22×D4×C131—21no—
56C22×D4×C131—21no—
57C22×D4×C131—21no—
58C22×D4×C131—21no—
59C22×D4×C131—44no—
60C22×D4×C131D412yes—
61C22×D4×C131D411yescharacteristic
62C22×D4×C131D411yescharacteristic, complemented
63C22×D4×C131C2312yes—
64C23×C4×C131C2311yescharacteristic
65AGL(1,ℤ/8)×C131—44no—
66C2×SD16×C131—22no—
67C2×D8×C131—24no—
68C2×D8×C131—22no—
69C2×D8×C131—44no—
70C2×M16×C131—21no—
71C22×C8×C131—21no—
72#127×C131—22no—
73#127×C131—21no—
74#127×C131—44no—
75#126×C131—22no—
76#126×C131—22no—
77#125×C131—21no—
78#124×C131—22no—
79#123×C131—22no—
80#123×C131—21no—
81#123×C131—22no—
82#123×C131—22no—
83#123×C131—22no—
84C22⋊Q8×C131D411yescharacteristic, complemented
85C22⋊Q8×C131C2311yescharacteristic
86#121×C131—22no—
87#121×C131—21no—
88#121×C131—21no—
89#121×C131—22no—
90#121×C131—22no—
91#121×C131—22no—
92#121×C131—22no—
93#121×C131—21no—
94#121×C131—21no—
95#121×C131—21no—
96#121×C131—21no—
97#121×C131—21no—
98#121×C131—21no—
99#121×C131—22no—
100#121×C131D412yescomplemented
101#121×C131D411yescharacteristic, complemented
102#121×C131C2312yes—
103#121×C131C2311yescharacteristic
104#120×C131—22no—
105#120×C131—22no—
106#120×C131—22no—
107#120×C131—21no—
108#120×C131—22no—
109#120×C131—22no—
110#120×C131—22no—
111#120×C131—48no—
112C4×D4×C131—22no—
113C4×D4×C131—21no—
114C4×D4×C131—21no—
115C4×D4×C131—21no—
116C4×D4×C131—21no—
117C4×D4×C131—22no—
118#117×C131—21no—
119#117×C131D411yescharacteristic, complemented
120C2×C4⋊C4×C131D411yescharacteristic
121C2×C4⋊C4×C131D411yescharacteristic, complemented
122C2×C22⋊C4×C131—21no—
123C2×C22⋊C4×C131—21no—
124C2×C22⋊C4×C131—24no—
125C2×C22⋊C4×C131C2312yes—
126C2×C42×C131—21no—
127#102×C131—24no—
128#102×C131—22no—
129#102×C131—22no—
130C22⋊C8×C131—21no—
131C22⋊C8×C131—21no—
132C22⋊C8×C131C2312yes—
133C22⋊C8×C131C2312yes—
134#95×C131C2312yes—
135C24×C131—22no—
136C24×C131—22no—
137C24×C131—21no—
138C24×C131—44no—
139C24×C131—44no—
140C24×C131—41no—
141C24×C131—41no—
142C24×C131—82no—
143C24×C131C2×D411yescharacteristic
144C24×C131C2×D412yes—
145#41×C131—42no—
146C2×Q8×C131C2×D411yescharacteristic
147C2×D4×C131—24no—
148C2×D4×C131—24no—
149C2×D4×C131—24no—
150C2×D4×C131—22no—
151C2×D4×C131—21no—
152C2×D4×C131—21no—
153C2×D4×C131—22no—
154C2×D4×C131—22no—
155C2×D4×C131—22no—
156C2×D4×C131—22no—
157C2×D4×C131—22no—
158C2×D4×C131—22no—
159C2×D4×C131—21no—
160C2×D4×C131—22no—
161C2×D4×C131—22no—
162C2×D4×C131—21no—
163C2×D4×C131—21no—
164C2×D4×C131—21no—
165C2×D4×C131—22no—
166C2×D4×C131—22no—
167C2×D4×C131—42no—
168C2×D4×C131—42no—
169C2×D4×C131—42no—
170C2×D4×C131—42no—
171C2×D4×C131—42no—
172C2×D4×C131—48no—
173C2×D4×C131—44no—
174C2×D4×C131—44no—
175C2×D4×C131—44no—
176C2×D4×C131—44no—
177C2×D4×C131—48no—
178C2×D4×C131—41no—
179C2×D4×C131—41no—
180C2×D4×C131—82no—
181C2×D4×C131—84no—
182C2×D4×C131—82no—
183C2×D4×C131—84no—
184C2×D4×C131—84no—
185C2×D4×C131C2×D411yescharacteristic
186C2×D4×C131C2×D412yes—
187C22×C4×C131—22no—
188C22×C4×C131—22no—
189C22×C4×C131—22no—
190C22×C4×C131—21no—
191C22×C4×C131—21no—
192C22×C4×C131—42no—
193C22×C4×C131C2×D411yescharacteristic
194C22×C4×C131C2×D411yescharacteristic
195C22×C4×C131C2×D411yescharacteristic
196C22×C4×C131C2×D412yes—
197C22×C4×C131C2×D411yescharacteristic
198C22×C4×C131C2×D411yescharacteristic
199C22×C4×C131C2411yescharacteristic
200SD16×C131—44no—
201D8×C131—48no—
202D8×C131—44no—
203M16×C131—42no—
204C2×C8×C131—22no—
205C2×C8×C131—22no—
206C2×C8×C131—42no—
207C4⋊C4×C131—22no—
208C4⋊C4×C131—22no—
209C4⋊C4×C131—21no—
210C4⋊C4×C131—21no—
211C4⋊C4×C131—21no—
212C4⋊C4×C131—21no—
213C4⋊C4×C131—21no—
214C4⋊C4×C131C2×D412yes—
215C4⋊C4×C131C2×D411yescharacteristic
216C4⋊C4×C131C2×D411yescharacteristic
217C22⋊C4×C131—24no—
218C22⋊C4×C131—22no—
219C22⋊C4×C131—22no—
220C22⋊C4×C131—22no—
221C22⋊C4×C131—22no—
222C22⋊C4×C131—22no—
223C22⋊C4×C131—21no—
224C22⋊C4×C131—21no—
225C22⋊C4×C131—21no—
226C22⋊C4×C131—22no—
227C22⋊C4×C131—21no—
228C22⋊C4×C131—22no—
229C22⋊C4×C131—22no—
230C22⋊C4×C131—22no—
231C22⋊C4×C131—21no—
232C22⋊C4×C131—48no—
233C42×C131—22no—
234C42×C131—21no—
235C42×C131—42no—
236C23×C131—22no—
237C23×C131—22no—
238C23×C131—24no—
239C23×C131—22no—
240C23×C131—22no—
241C23×C131—21no—
242C23×C131—24no—
243C23×C131—41no—
244C23×C131—44no—
245C23×C131—44no—
246C23×C131—44no—
247C23×C131—42no—
248C23×C131—42no—
249C23×C131—42no—
250C23×C131—42no—
251C23×C131—44no—
252C23×C131—42no—
253C23×C131—81no—
254C23×C131—81no—
255C23×C131—82no—
256C23×C131—82no—
257C23×C131—82no—
258C23×C131—82no—
259C23×C131—82no—
260C23×C131—82no—
261C23×C131—816no—
262C23×C131—82no—
263C23×C131#12011yescharacteristic
264C23×C131#12011yescharacteristic
265C23×C131C22×D411yescharacteristic
266Q8×C131—41no—
267D4×C131—24no—
268D4×C131—24no—
269D4×C131—42no—
270D4×C131—41no—
271D4×C131—42no—
272D4×C131—42no—
273D4×C131—44no—
274D4×C131—44no—
275D4×C131—42no—
276D4×C131—44no—
277D4×C131—42no—
278D4×C131—44no—
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—816no—
291C2×C4×C131—22no—
292C2×C4×C131—22no—
293C2×C4×C131—22no—
294C2×C4×C131—24no—
295C2×C4×C131—21no—
296C2×C4×C131—22no—
297C2×C4×C131—22no—
298C2×C4×C131—21no—
299C2×C4×C131—21no—
300C2×C4×C131—41no—
301C2×C4×C131—41no—
302C2×C4×C131—41no—
303C2×C4×C131—42no—
304C2×C4×C131—42no—
305C2×C4×C131—42no—
306C2×C4×C131—42no—
307C2×C4×C131—81no—
308C2×C4×C131—82no—
309C2×C4×C131—82no—
310C2×C4×C131#12011yescharacteristic
311C2×C4×C131#12011yescharacteristic
312C2×C4×C131C22×D411yescharacteristic
313C2×C4×C131C22×D411yescharacteristic
314C8×C131—42no—
315C8×C131—42no—
316C22×C131—21no—
317C22×C131—21no—
318C22×C131—21no—
319C22×C131—21no—
320C22×C131—21no—
321C22×C131—21no—
322C22×C131—21no—
323C22×C131—44no—
324C22×C131—48no—
325C22×C131—42no—
326C22×C131—42no—
327C22×C131—41no—
328C22×C131—42no—
329C22×C131—42no—
330C22×C131—41no—
331C22×C131—41no—
332C22×C131—44no—
333C22×C131—42no—
334C22×C131—42no—
335C22×C131—84no—
336C22×C131—84no—
337C22×C131—88no—
338C22×C131—88no—
339C22×C131—82no—
340C22×C131—82no—
341C22×C131—162no—
342C22×C131—164no—
343C22×C131#45312yes—
344C22×C131C2×#12011yescharacteristic
345C22×C131#57612yes—
346C4×C131—21no—
347C4×C131—21no—
348C4×C131—21no—
349C4×C131—44no—
350C4×C131—42no—
351C4×C131—41no—
352C4×C131—42no—
353C4×C131—41no—
354C4×C131—41no—
355C4×C131B(4,𝔽2)12yes—
356C2×C131—22no—
357C2×C131—22no—
358C2×C131—41no—
359C2×C131—84no—
360C2×C131—82no—
361C2×C131—82no—
362C2×C131—81no—
363C2×C131#300811yescharacteristic
364C2×C131C2×#45311yescharacteristic
365C2×C131C2×B(4,𝔽2)11yescharacteristic
366#18254C13111yesmaximal, characteristic, direct product factor, Sylow
367C131#1825411yescharacteristic, direct product factor, Sylow
368#3537C2×C13111yescharacteristic, complemented
369#3003C2×C13111yescharacteristic, complemented
370C2×#447C2×C13111yescharacteristic, complemented
371#2433C2×C13111yescharacteristic, complemented
372#1600C2×C13114yescomplemented
373#1595C2×C13114yescomplemented
374#1507C2×C13111yescharacteristic, complemented
375#1501C2×C13111yescharacteristic, complemented
376#1471C2×C13111yescharacteristic, complemented
377C23×D4C22×C13111yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C13112yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C13112yescomplemented
392C2×#127—21no—
393#525C22×C13111yescharacteristic
394C2×#121C22×C13111yescharacteristic
395C2×#121C22×C13111yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C13112yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C13112yescomplemented
402#447C22×C13114yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C13111yescharacteristic, complemented
406C2×C22⋊C8C22×C13111yescharacteristic, complemented
407#392C22×C13114yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C13111yescharacteristic, complemented
410#328C22×C13112yescomplemented
411#327C22×C13112yescomplemented
412#327C22×C13114yescomplemented
413#323C22×C13114yescomplemented
414C25—21no—
415C2×#41D4×C13111yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C13112yes—
428C22×D4D4×C13111yescharacteristic
429C22×D4D4×C13111yescharacteristic, complemented
430C22×D4C23×C13112yes—
431C23×C4C23×C13111yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C13111yescharacteristic, complemented
452C22⋊Q8C23×C13111yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C13112yescomplemented
468#121D4×C13111yescharacteristic, complemented
469#121C23×C13112yes—
470#121C23×C13111yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C13111yescharacteristic, complemented
487C2×C4⋊C4D4×C13111yescharacteristic
488C2×C4⋊C4D4×C13111yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C13112yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C13112yes—
500C22⋊C8C23×C13112yes—
501#95C23×C13112yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C13111yescharacteristic
511C24C2×D4×C13112yes—
512#41—42no—
513C2×Q8C2×D4×C13111yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C13111yescharacteristic
553C2×D4C2×D4×C13112yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C13111yescharacteristic
561C22×C4C2×D4×C13111yescharacteristic
562C22×C4C2×D4×C13111yescharacteristic
563C22×C4C2×D4×C13112yes—
564C22×C4C2×D4×C13111yescharacteristic
565C22×C4C2×D4×C13111yescharacteristic
566C22×C4C24×C13111yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C13112yes—
582C4⋊C4C2×D4×C13111yescharacteristic
583C4⋊C4C2×D4×C13111yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C13111yescharacteristic
631C23#120×C13111yescharacteristic
632C23C22×D4×C13111yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C13111yescharacteristic
678C2×C4#120×C13111yescharacteristic
679C2×C4C22×D4×C13111yescharacteristic
680C2×C4C22×D4×C13111yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C13112yes—
711C22C2×#120×C13111yescharacteristic
712C22#576×C13112yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C13112yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2#3008×C13111yescharacteristic
731C2C2×#453×C13111yescharacteristic
732C2C2×B(4,𝔽2)×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. #3003×C131C2semidirect
3. C2×#447×C131C2semidirect
4. #2433×C131C2semidirect
5. #1600×C131C2semidirect
6. #1595×C131C2semidirect
7. #1507×C131C2semidirect
8. #1501×C131C2semidirect
9. #1471×C131C2semidirect
10. C23×D4×C131C22semidirect
21. #538×C131C22semidirect
24. #534×C131C22semidirect
31. #450×C131C22semidirect
34. #447×C131C22semidirect
35. #447×C131C22semidirect
38. #407×C131C22semidirect
39. C2×C22⋊C8×C131C22semidirect
40. #392×C131C22semidirect
42. C4×C22⋊C4×C131C22semidirect
43. #328×C131C22semidirect
44. #327×C131C22semidirect
45. #327×C131C22semidirect
46. #323×C131C22semidirect
48. C2×#41×C131D4semidirect
62. C22×D4×C131D4semidirect
84. C22⋊Q8×C131D4semidirect
100. #121×C131D4semidirect
101. #121×C131D4semidirect
119. #117×C131D4semidirect
121. C2×C4⋊C4×C131D4semidirect
366. #18254C131direct (N × H)
367. C131#18254direct (N × H)
368. #3537C2×C131semidirect
369. #3003C2×C131semidirect
370. C2×#447C2×C131semidirect
371. #2433C2×C131semidirect
372. #1600C2×C131semidirect
373. #1595C2×C131semidirect
374. #1507C2×C131semidirect
375. #1501C2×C131semidirect
376. #1471C2×C131semidirect
377. C23×D4C22×C131semidirect
388. #538C22×C131semidirect
391. #534C22×C131semidirect
398. #450C22×C131semidirect
401. #447C22×C131semidirect
402. #447C22×C131semidirect
405. #407C22×C131semidirect
406. C2×C22⋊C8C22×C131semidirect
407. #392C22×C131semidirect
409. C4×C22⋊C4C22×C131semidirect
410. #328C22×C131semidirect
411. #327C22×C131semidirect
412. #327C22×C131semidirect
413. #323C22×C131semidirect
415. C2×#41D4×C131semidirect
429. C22×D4D4×C131semidirect
451. C22⋊Q8D4×C131semidirect
467. #121D4×C131semidirect
468. #121D4×C131semidirect
486. #117D4×C131semidirect
488. 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
#3003×C1312
C2×#447×C1312
#2433×C1312
#1600×C1312
#1595×C1312
#1507×C1312
#1501×C1312
#1471×C1312
#18254131