Finite Group Databasebeta

← C131×#24262 #45710146

Subgroups — C131×#24262 #45710146

Order 33536.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 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#2617×C131C212yesmaximal, complemented
4#2321×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—
11#547×C131—22no—
12#546×C131—24no—
13D42×C131—22no—
14#537×C131—21no—
15#534×C131—21no—
16#534×C131C2212yes—
17#532×C131—21no—
18C2×#121×C131—21no—
19C2×#121×C131C2212yes—
20C2×#120×C131C2211yescharacteristic
21C2×#120×C131C2214yescomplemented
22C2×C4×D4×C131C2211yescharacteristic
23C22×C22⋊C4×C131C2211yescharacteristic, complemented
24B(4,𝔽2)×C131—28no—
25C2×#99×C131C2212yes—
26C2×#99×C131C2214yescomplemented
27C2×#99×C131C2214yescomplemented
28#397×C131—22no—
29#394×C131—24no—
30#392×C131—22no—
31#390×C131—21no—
32#388×C131—21no—
33#388×C131—21no—
34#386×C131—21no—
35#386×C131C2211yescharacteristic
36#386×C131C2214yescomplemented
37#385×C131C2211yescharacteristic, complemented
38#380×C131C2212yescomplemented
39#379×C131C2211yescharacteristic, complemented
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—22no—
49C22×D4×C131—24no—
50C22×D4×C131—21no—
51C22×D4×C131—21no—
52C22×D4×C131—24no—
53C22×D4×C131D412yescomplemented
54C22×D4×C131C2314yes—
55C22×D4×C131C2311yescharacteristic
56C23×C4×C131D411yescharacteristic, complemented
57C23×C4×C131C2311yescharacteristic
58C23×C4×C131C2311yescharacteristic
59C4⋊Q8×C131—21no—
60#127×C131—21no—
61#124×C131—22no—
62#123×C131—24no—
63#123×C131—24no—
64C22⋊Q8×C131—24no—
65#121×C131—22no—
66#121×C131—22no—
67#121×C131—24no—
68#121×C131—22no—
69#121×C131—22no—
70#121×C131—22no—
71#121×C131—22no—
72#121×C131—22no—
73#121×C131—22no—
74#120×C131—24no—
75#120×C131—24no—
76#120×C131—22no—
77#120×C131—28no—
78#120×C131—44no—
79#120×C131D414yescomplemented
80C4×D4×C131—22no—
81C4×D4×C131—22no—
82C4×D4×C131—22no—
83C4×D4×C131—22no—
84C2×C4⋊C4×C131—21no—
85C2×C4⋊C4×C131—21no—
86C2×C4⋊C4×C131—22no—
87C2×C4⋊C4×C131D411yescharacteristic, complemented
88C2×C4⋊C4×C131D412yescomplemented
89C2×C22⋊C4×C131—22no—
90C2×C22⋊C4×C131—21no—
91C2×C22⋊C4×C131—21no—
92C2×C22⋊C4×C131—21no—
93C2×C22⋊C4×C131—22no—
94C2×C22⋊C4×C131—22no—
95C2×C22⋊C4×C131—24no—
96C2×C22⋊C4×C131—21no—
97C2×C22⋊C4×C131—24no—
98C2×C22⋊C4×C131—21no—
99C2×C22⋊C4×C131—21no—
100C2×C22⋊C4×C131D411yescharacteristic, complemented
101C2×C22⋊C4×C131D414yescomplemented
102C2×C22⋊C4×C131C2314yes—
103C2×C22⋊C4×C131C2311yescharacteristic
104C2×C22⋊C4×C131C2311yescharacteristic
105C2×C22⋊C4×C131C2311yescharacteristic
106C2×C42×C131—21no—
107C2×C42×C131D411yescharacteristic, complemented
108#99×C131—24no—
109#99×C131—28no—
110#99×C131—44no—
111#95×C131—21no—
112#95×C131—21no—
113#95×C131—21no—
114#95×C131—22no—
115#95×C131—24no—
116C24×C131—22no—
117C24×C131—21no—
118C24×C131—22no—
119C24×C131—21no—
120C24×C131—22no—
121C24×C131—81no—
122C24×C131—81no—
123C24×C131C2×D414yes—
124C24×C131C2×D411yescharacteristic
125C24×C131C2×D412yescomplemented
126C24×C131C2411yescharacteristic
127#41×C131—48no—
128#41×C131—48no—
129#41×C131—44no—
130#41×C131—44no—
131C2×Q8×C131—22no—
132C2×D4×C131—22no—
133C2×D4×C131—22no—
134C2×D4×C131—24no—
135C2×D4×C131—22no—
136C2×D4×C131—24no—
137C2×D4×C131—24no—
138C2×D4×C131—24no—
139C2×D4×C131—24no—
140C2×D4×C131—24no—
141C2×D4×C131—24no—
142C2×D4×C131—22no—
143C2×D4×C131—22no—
144C2×D4×C131—24no—
145C2×D4×C131—22no—
146C2×D4×C131—22no—
147C2×D4×C131—48no—
148C2×D4×C131—48no—
149C2×D4×C131—44no—
150C2×D4×C131—44no—
151C2×D4×C131—48no—
152C2×D4×C131—82no—
153C2×D4×C131—82no—
154C2×D4×C131—81no—
155C2×D4×C131—81no—
156C2×D4×C131—84no—
157C2×D4×C131—84no—
158C2×D4×C131C2×D412yes—
159C2×D4×C131#4112yes—
160C22×C4×C131—22no—
161C22×C4×C131—24no—
162C22×C4×C131—21no—
163C22×C4×C131—21no—
164C22×C4×C131—21no—
165C22×C4×C131—21no—
166C22×C4×C131—22no—
167C22×C4×C131—21no—
168C22×C4×C131—24no—
169C22×C4×C131—81no—
170C22×C4×C131—81no—
171C22×C4×C131—81no—
172C22×C4×C131C2×D414yes—
173C22×C4×C131C2×D411yescharacteristic
174C22×C4×C131C2×D411yescharacteristic
175C22×C4×C131C2×D411yescharacteristic
176C22×C4×C131C2×D411yescharacteristic
177C22×C4×C131C2×D412yes—
178C22×C4×C131C2×D411yescharacteristic
179C22×C4×C131C2×D412yes—
180C4⋊C4×C131—22no—
181C4⋊C4×C131—22no—
182C4⋊C4×C131—22no—
183C4⋊C4×C131—22no—
184C4⋊C4×C131—22no—
185C4⋊C4×C131—82no—
186C4⋊C4×C131—81no—
187C22⋊C4×C131—24no—
188C22⋊C4×C131—24no—
189C22⋊C4×C131—22no—
190C22⋊C4×C131—21no—
191C22⋊C4×C131—24no—
192C22⋊C4×C131—22no—
193C22⋊C4×C131—24no—
194C22⋊C4×C131—24no—
195C22⋊C4×C131—24no—
196C22⋊C4×C131—22no—
197C22⋊C4×C131—24no—
198C22⋊C4×C131—48no—
199C22⋊C4×C131—41no—
200C22⋊C4×C131—41no—
201C22⋊C4×C131—42no—
202C22⋊C4×C131—81no—
203C22⋊C4×C131—81no—
204C22⋊C4×C131—81no—
205C22⋊C4×C131—84no—
206C22⋊C4×C131C2×D412yescomplemented
207C42×C131—21no—
208C42×C131—21no—
209C42×C131—81no—
210C23×C131—21no—
211C23×C131—21no—
212C23×C131—24no—
213C23×C131—22no—
214C23×C131—24no—
215C23×C131—24no—
216C23×C131—24no—
217C23×C131—41no—
218C23×C131—41no—
219C23×C131—41no—
220C23×C131—41no—
221C23×C131—41no—
222C23×C131—41no—
223C23×C131—41no—
224C23×C131—44no—
225C23×C131—41no—
226C23×C131—44no—
227C23×C131—44no—
228C23×C131—44no—
229C23×C131—44no—
230C23×C131—41no—
231C23×C131—41no—
232C23×C131—42no—
233C23×C131—82no—
234C23×C131—82no—
235C23×C131—84no—
236C23×C131—82no—
237C23×C131—82no—
238C23×C131#12112yes—
239C23×C131C22×D411yescharacteristic
240C23×C131C22×D412yes—
241C23×C131C22×D411yescharacteristic
242C23×C131C2×#4111yescharacteristic
243C23×C131H(5,𝔽2)12yes—
244Q8×C131—44no—
245D4×C131—24no—
246D4×C131—24no—
247D4×C131—44no—
248D4×C131—44no—
249D4×C131—48no—
250D4×C131—44no—
251D4×C131—44no—
252D4×C131—44no—
253D4×C131—44no—
254D4×C131—82no—
255D4×C131—82no—
256D4×C131—84no—
257D4×C131—82no—
258D4×C131—816no—
259C2×C4×C131—21no—
260C2×C4×C131—21no—
261C2×C4×C131—21no—
262C2×C4×C131—21no—
263C2×C4×C131—24no—
264C2×C4×C131—22no—
265C2×C4×C131—24no—
266C2×C4×C131—24no—
267C2×C4×C131—41no—
268C2×C4×C131—42no—
269C2×C4×C131—41no—
270C2×C4×C131—42no—
271C2×C4×C131—42no—
272C2×C4×C131—48no—
273C2×C4×C131—41no—
274C2×C4×C131—41no—
275C2×C4×C131—44no—
276C2×C4×C131—41no—
277C2×C4×C131—41no—
278C2×C4×C131—41no—
279C2×C4×C131—41no—
280C2×C4×C131—41no—
281C2×C4×C131—44no—
282C2×C4×C131—44no—
283C2×C4×C131—41no—
284C2×C4×C131—44no—
285C2×C4×C131—41no—
286C2×C4×C131—41no—
287C2×C4×C131—44no—
288C2×C4×C131—81no—
289C2×C4×C131#12011yescharacteristic
290C2×C4×C131#12011yescharacteristic
291C2×C4×C131#12012yes—
292C2×C4×C131#12112yes—
293C22×C131—21no—
294C22×C131—22no—
295C22×C131—21no—
296C22×C131—22no—
297C22×C131—22no—
298C22×C131—41no—
299C22×C131—41no—
300C22×C131—42no—
301C22×C131—42no—
302C22×C131—42no—
303C22×C131—48no—
304C22×C131—42no—
305C22×C131—41no—
306C22×C131—41no—
307C22×C131—44no—
308C22×C131—42no—
309C22×C131—44no—
310C22×C131—44no—
311C22×C131—81no—
312C22×C131—84no—
313C22×C131—84no—
314C22×C131—81no—
315C22×C131—81no—
316C22×C131—84no—
317C22×C131—81no—
318C22×C131—81no—
319C22×C131—164no—
320C22×C131C2×#12011yescharacteristic
321C22×C131C2×#12111yescharacteristic
322C22×C131#53511yescharacteristic
323C22×C131D4212yes—
324C22×C131#54612yes—
325C4×C131—22no—
326C4×C131—21no—
327C4×C131—21no—
328C4×C131—22no—
329C4×C131—42no—
330C4×C131—44no—
331C4×C131—41no—
332C4×C131—41no—
333C4×C131—81no—
334C4×C131—84no—
335C4×C131—81no—
336C2×C131—21no—
337C2×C131—22no—
338C2×C131—21no—
339C2×C131—22no—
340C2×C131—42no—
341C2×C131—82no—
342C2×C131—84no—
343C2×C131#240811yescharacteristic
344C2×C131#302611yescharacteristic
345C2×C131#302711yescharacteristic
346#24262C13111yesmaximal, characteristic, direct product factor, Sylow
347C131#2426211yescharacteristic, direct product factor, Sylow
348#3496C2×C13111yescharacteristic, complemented
349C2×B(4,𝔽2)C2×C13112yescomplemented
350#2617C2×C13112yescomplemented
351#2321C2×C13111yescharacteristic, complemented
352#2044C2×C13112yescomplemented
353#2021C2×C13112yescomplemented
354#1964C2×C13112yescomplemented
355#1799C2×C13111yescharacteristic, complemented
356#1790C2×C13112yescomplemented
357C2×H(5,𝔽2)C22×C13112yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C13112yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C13112yes—
367C2×#120C22×C13111yescharacteristic
368C2×#120C22×C13114yescomplemented
369C2×C4×D4C22×C13111yescharacteristic
370C22×C22⋊C4C22×C13111yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C13112yes—
373C2×#99C22×C13114yescomplemented
374C2×#99C22×C13114yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C13111yescharacteristic
383#386C22×C13114yescomplemented
384#385C22×C13111yescharacteristic, complemented
385#380C22×C13112yescomplemented
386#379C22×C13111yescharacteristic, complemented
387C4×C22⋊C4C22×C13111yescharacteristic, complemented
388#342C22×C13112yescomplemented
389C25C23×C13111yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C13112yescomplemented
401C22×D4C23×C13114yes—
402C22×D4C23×C13111yescharacteristic
403C23×C4D4×C13111yescharacteristic, complemented
404C23×C4C23×C13111yescharacteristic
405C23×C4C23×C13111yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C13114yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C13111yescharacteristic, complemented
435C2×C4⋊C4D4×C13112yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C13111yescharacteristic, complemented
448C2×C22⋊C4D4×C13114yescomplemented
449C2×C22⋊C4C23×C13114yes—
450C2×C22⋊C4C23×C13111yescharacteristic
451C2×C22⋊C4C23×C13111yescharacteristic
452C2×C22⋊C4C23×C13111yescharacteristic
453C2×C42—21no—
454C2×C42D4×C13111yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C13114yes—
471C24C2×D4×C13111yescharacteristic
472C24C2×D4×C13112yescomplemented
473C24C24×C13111yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C13112yes—
506C2×D4#41×C13112yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C13114yes—
520C22×C4C2×D4×C13111yescharacteristic
521C22×C4C2×D4×C13111yescharacteristic
522C22×C4C2×D4×C13111yescharacteristic
523C22×C4C2×D4×C13111yescharacteristic
524C22×C4C2×D4×C13112yes—
525C22×C4C2×D4×C13111yescharacteristic
526C22×C4C2×D4×C13112yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C13112yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C13112yes—
586C23C22×D4×C13111yescharacteristic
587C23C22×D4×C13112yes—
588C23C22×D4×C13111yescharacteristic
589C23C2×#41×C13111yescharacteristic
590C23H(5,𝔽2)×C13112yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C13111yescharacteristic
637C2×C4#120×C13111yescharacteristic
638C2×C4#120×C13112yes—
639C2×C4#121×C13112yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22—42no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C13111yescharacteristic
668C22C2×#121×C13111yescharacteristic
669C22#535×C13111yescharacteristic
670C22D42×C13112yes—
671C22#546×C13112yes—
672C4—21no—
673C4—21no—
674C4—22no—
675C4—22no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—44no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2#2408×C13111yescharacteristic
691C2#3026×C13111yescharacteristic
692C2#3027×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. #2617×C131C2semidirect
4. #2321×C131C2semidirect
5. #2044×C131C2semidirect
6. #2021×C131C2semidirect
7. #1964×C131C2semidirect
8. #1799×C131C2semidirect
9. #1790×C131C2semidirect
21. C2×#120×C131C22semidirect
23. C22×C22⋊C4×C131C22semidirect
26. C2×#99×C131C22semidirect
27. C2×#99×C131C22semidirect
36. #386×C131C22semidirect
37. #385×C131C22semidirect
38. #380×C131C22semidirect
39. #379×C131C22semidirect
40. C4×C22⋊C4×C131C22semidirect
41. #342×C131C22semidirect
53. C22×D4×C131D4semidirect
56. C23×C4×C131D4semidirect
79. #120×C131D4semidirect
87. C2×C4⋊C4×C131D4semidirect
88. C2×C4⋊C4×C131D4semidirect
100. C2×C22⋊C4×C131D4semidirect
101. C2×C22⋊C4×C131D4semidirect
107. C2×C42×C131D4semidirect
125. C24×C131C2×D4semidirect
206. C22⋊C4×C131C2×D4semidirect
346. #24262C131direct (N × H)
347. C131#24262direct (N × H)
348. #3496C2×C131semidirect
349. C2×B(4,𝔽2)C2×C131semidirect
350. #2617C2×C131semidirect
351. #2321C2×C131semidirect
352. #2044C2×C131semidirect
353. #2021C2×C131semidirect
354. #1964C2×C131semidirect
355. #1799C2×C131semidirect
356. #1790C2×C131semidirect
368. C2×#120C22×C131semidirect
370. C22×C22⋊C4C22×C131semidirect
373. C2×#99C22×C131semidirect
374. C2×#99C22×C131semidirect
383. #386C22×C131semidirect
384. #385C22×C131semidirect
385. #380C22×C131semidirect
386. #379C22×C131semidirect
387. C4×C22⋊C4C22×C131semidirect
388. #342C22×C131semidirect
400. C22×D4D4×C131semidirect
403. C23×C4D4×C131semidirect
426. #120D4×C131semidirect
434. C2×C4⋊C4D4×C131semidirect
435. C2×C4⋊C4D4×C131semidirect
447. C2×C22⋊C4D4×C131semidirect
448. C2×C22⋊C4D4×C131semidirect
454. C2×C42D4×C131semidirect
472. C24C2×D4×C131semidirect
553. C22⋊C4C2×D4×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
#2617×C1312
#2321×C1312
#2044×C1312
#2021×C1312
#1964×C1312
#1799×C1312
#1790×C1312
#24262131