Finite Group Databasebeta

← C131×#14567 #45700451

Subgroups — C131×#14567 #45700451

Order 33536.

2074 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#392×C131C211yesmaximal, characteristic
2C2×#390×C131C212yesmaximal, complemented
3C2×#388×C131C212yesmaximal, complemented
4#1440×C131C211yesmaximal, characteristic, complemented
5#1438×C131C212yesmaximal, complemented
6#1438×C131C212yesmaximal, complemented
7#1437×C131C211yesmaximal, characteristic, complemented
8#1437×C131C212yesmaximal, complemented
9#1436×C131C212yesmaximal, complemented
10C23×D4×C131C2212yes—
11C23×D4×C131C2211yescharacteristic
12C22×C4⋊C4×C131C2212yes—
13C22×C22⋊C4×C131C2212yes—
14C22×C22⋊C4×C131C2211yescharacteristic
15C22×C22⋊C4×C131C2212yes—
16C22×C22⋊C4×C131C2212yes—
17C22×C22⋊C4×C131C2212yes—
18C22×C22⋊C4×C131C2212yes—
19C22×C22⋊C4×C131C2212yes—
20C22×C22⋊C4×C131C2211yescharacteristic
21C22×C22⋊C4×C131C2211yescharacteristic
22C22×C42×C131C2211yescharacteristic
23C22×C42×C131C2212yes—
24#392×C131C418yescomplemented
25#390×C131—28no—
26#388×C131—28no—
27C2×#95×C131C2212yes—
28C2×#95×C131C2212yes—
29C2×#95×C131C2212yes—
30C2×#95×C131C2212yes—
31C2×#95×C131C2212yes—
32C2×#95×C131C2211yescharacteristic
33C2×#95×C131C2211yescharacteristic
34C25×C131C2312yes—
35C25×C131C2311yescharacteristic
36C22×D4×C131—24no—
37C22×D4×C131—24no—
38C22×D4×C131—42no—
39C22×D4×C131—42no—
40C22×D4×C131—42no—
41C22×D4×C131—42no—
42C22×D4×C131—42no—
43C22×D4×C131—42no—
44C22×D4×C131—41no—
45C22×D4×C131—41no—
46C22×D4×C131C2×C418yes—
47C22×D4×C131C2×C414yes—
48C23×C4×C131C2312yes—
49C23×C4×C131C2311yescharacteristic
50C23×C4×C131C2311yescharacteristic
51C23×C4×C131C2312yes—
52C23×C4×C131C2312yes—
53C23×C4×C131C2312yes—
54C23×C4×C131C2312yes—
55C2×C4⋊C4×C131—42no—
56C2×C4⋊C4×C131—42no—
57C2×C4⋊C4×C131D418yescomplemented
58C2×C22⋊C4×C131—24no—
59C2×C22⋊C4×C131—24no—
60C2×C22⋊C4×C131—24no—
61C2×C22⋊C4×C131—24no—
62C2×C22⋊C4×C131—24no—
63C2×C22⋊C4×C131—24no—
64C2×C22⋊C4×C131—24no—
65C2×C22⋊C4×C131—24no—
66C2×C22⋊C4×C131—24no—
67C2×C22⋊C4×C131—24no—
68C2×C22⋊C4×C131—24no—
69C2×C22⋊C4×C131—41no—
70C2×C22⋊C4×C131—41no—
71C2×C22⋊C4×C131—42no—
72C2×C22⋊C4×C131—42no—
73C2×C22⋊C4×C131—42no—
74C2×C22⋊C4×C131—41no—
75C2×C22⋊C4×C131—42no—
76C2×C22⋊C4×C131—42no—
77C2×C22⋊C4×C131—42no—
78C2×C22⋊C4×C131—42no—
79C2×C22⋊C4×C131—42no—
80C2×C22⋊C4×C131—41no—
81C2×C22⋊C4×C131C2×C418yes—
82C2×C22⋊C4×C131C2×C414yes—
83C2×C42×C131—24no—
84C2×C42×C131—24no—
85C2×C42×C131—41no—
86C2×C42×C131—42no—
87C2×C42×C131—42no—
88#95×C131—24no—
89#95×C131—24no—
90#95×C131—24no—
91#95×C131—42no—
92#95×C131—41no—
93#95×C131—42no—
94#95×C131C2×C414yes—
95C24×C131—22no—
96C24×C131—22no—
97C24×C131—22no—
98C24×C131—22no—
99C24×C131—22no—
100C24×C131—22no—
101C24×C131—22no—
102C24×C131—22no—
103C24×C131—22no—
104C24×C131—21no—
105C24×C131—21no—
106C24×C131—22no—
107C24×C131—22no—
108C24×C131—22no—
109C24×C131—22no—
110C24×C131—22no—
111C24×C131—22no—
112C24×C131—22no—
113C24×C131—22no—
114C24×C131—22no—
115C24×C131—22no—
116C24×C131—22no—
117C24×C131C22×C414yes—
118C24×C131C22×C412yes—
119C24×C131C2411yescharacteristic
120C2×D4×C131—216no—
121C2×D4×C131—48no—
122C2×D4×C131—48no—
123C2×D4×C131—44no—
124C2×D4×C131—48no—
125C2×D4×C131—48no—
126C2×D4×C131—48no—
127C2×D4×C131—48no—
128C2×D4×C131—48no—
129C2×D4×C131—48no—
130C2×D4×C131—44no—
131C2×D4×C131—44no—
132C22×C4×C131—22no—
133C22×C4×C131—22no—
134C22×C4×C131—22no—
135C22×C4×C131—22no—
136C22×C4×C131—22no—
137C22×C4×C131—22no—
138C22×C4×C131—22no—
139C22×C4×C131—22no—
140C22×C4×C131—22no—
141C22×C4×C131—22no—
142C22×C4×C131—22no—
143C22×C4×C131—22no—
144C22×C4×C131—22no—
145C22×C4×C131—21no—
146C22×C4×C131—22no—
147C22×C4×C131—22no—
148C22×C4×C131—22no—
149C22×C4×C131—22no—
150C22×C4×C131—22no—
151C22×C4×C131—21no—
152C22×C4×C131—22no—
153C22×C4×C131—22no—
154C22×C4×C131—22no—
155C22×C4×C131—22no—
156C22×C4×C131—22no—
157C22×C4×C131—22no—
158C22×C4×C131—22no—
159C22×C4×C131—22no—
160C22×C4×C131—21no—
161C22×C4×C131—21no—
162C22×C4×C131—22no—
163C22×C4×C131—22no—
164C22×C4×C131—22no—
165C22×C4×C131—22no—
166C22×C4×C131—22no—
167C22×C4×C131—22no—
168C22×C4×C131—22no—
169C22×C4×C131C22×C412yes—
170C22×C4×C131C22×C412yes—
171C22×C4×C131C22×C414yes—
172C22×C4×C131C2×D414yes—
173C22×C4×C131C2×D414yes—
174C22×C4×C131C2×D414yes—
175C22×C4×C131#4114yes—
176C22×C4×C131#4114yes—
177C4⋊C4×C131—48no—
178C22⋊C4×C131—216no—
179C22⋊C4×C131—44no—
180C22⋊C4×C131—48no—
181C22⋊C4×C131—44no—
182C22⋊C4×C131—48no—
183C22⋊C4×C131—48no—
184C22⋊C4×C131—48no—
185C22⋊C4×C131—48no—
186C22⋊C4×C131—44no—
187C42×C131—44no—
188C42×C131—48no—
189C23×C131—24no—
190C23×C131—24no—
191C23×C131—24no—
192C23×C131—22no—
193C23×C131—24no—
194C23×C131—22no—
195C23×C131—22no—
196C23×C131—24no—
197C23×C131—24no—
198C23×C131—24no—
199C23×C131—24no—
200C23×C131—24no—
201C23×C131—42no—
202C23×C131—42no—
203C23×C131—42no—
204C23×C131—42no—
205C23×C131—42no—
206C23×C131—42no—
207C23×C131—42no—
208C23×C131—42no—
209C23×C131—42no—
210C23×C131—42no—
211C23×C131—42no—
212C23×C131—42no—
213C23×C131—42no—
214C23×C131—42no—
215C23×C131—42no—
216C23×C131—42no—
217C23×C131—42no—
218C23×C131—42no—
219C23×C131—42no—
220C23×C131—41no—
221C23×C131—42no—
222C23×C131—42no—
223C23×C131—42no—
224C23×C131—42no—
225C23×C131—42no—
226C23×C131—42no—
227C23×C131—42no—
228C23×C131—42no—
229C23×C131—42no—
230C23×C131—42no—
231C23×C131—42no—
232C23×C131—42no—
233C23×C131—42no—
234C23×C131—42no—
235C23×C131—42no—
236C23×C131—42no—
237C23×C131—41no—
238C23×C131—42no—
239C23×C131—42no—
240C23×C131—42no—
241C23×C131—42no—
242C23×C131—41no—
243C23×C131—41no—
244C23×C131—42no—
245C23×C131C23×C411yescharacteristic
246C23×C131C22×D412yes—
247C23×C131C2×#4112yes—
248C23×C131C2×#4112yes—
249C23×C131H(5,𝔽2)12yes—
250C23×C131H(5,𝔽2)12yes—
251C23×C131H(5,𝔽2)12yes—
252C23×C131H(5,𝔽2)11yescharacteristic
253C23×C131H(5,𝔽2)11yescharacteristic
254D4×C131—432no—
255D4×C131—416no—
256C2×C4×C131—24no—
257C2×C4×C131—24no—
258C2×C4×C131—24no—
259C2×C4×C131—24no—
260C2×C4×C131—24no—
261C2×C4×C131—24no—
262C2×C4×C131—24no—
263C2×C4×C131—22no—
264C2×C4×C131—22no—
265C2×C4×C131—24no—
266C2×C4×C131—24no—
267C2×C4×C131—24no—
268C2×C4×C131—24no—
269C2×C4×C131—24no—
270C2×C4×C131—24no—
271C2×C4×C131—24no—
272C2×C4×C131—24no—
273C2×C4×C131—24no—
274C2×C4×C131—24no—
275C2×C4×C131—42no—
276C2×C4×C131—42no—
277C2×C4×C131—42no—
278C2×C4×C131—42no—
279C2×C4×C131—42no—
280C2×C4×C131—42no—
281C2×C4×C131—41no—
282C2×C4×C131—42no—
283C2×C4×C131—42no—
284C2×C4×C131—42no—
285C2×C4×C131—42no—
286C2×C4×C131—41no—
287C2×C4×C131—42no—
288C2×C4×C131—42no—
289C2×C4×C131—42no—
290C2×C4×C131—42no—
291C2×C4×C131—41no—
292C2×C4×C131—41no—
293C2×C4×C131—42no—
294C2×C4×C131—42no—
295C2×C4×C131—42no—
296C2×C4×C131—42no—
297C2×C4×C131—42no—
298C2×C4×C131—42no—
299C2×C4×C131—42no—
300C2×C4×C131C4×D418yes—
301C22×C131—44no—
302C22×C131—44no—
303C22×C131—44no—
304C22×C131—42no—
305C22×C131—44no—
306C22×C131—44no—
307C22×C131—44no—
308C22×C131—44no—
309C22×C131—44no—
310C22×C131—42no—
311C22×C131—44no—
312C22×C131—42no—
313C22×C131—82no—
314C22×C131—82no—
315C22×C131—82no—
316C22×C131—82no—
317C22×C131—82no—
318C22×C131—82no—
319C22×C131—82no—
320C22×C131—82no—
321C22×C131—82no—
322C22×C131—82no—
323C22×C131—82no—
324C22×C131—82no—
325C22×C131C2×C4×D412yes—
326C22×C131C4×#4111yescharacteristic
327C22×C131#51811yescharacteristic
328C22×C131#51812yes—
329C22×C131#51811yescharacteristic
330C22×C131#53412yes—
331C22×C131#53512yes—
332C22×C131#53812yes—
333C22×C131#53812yes—
334C22×C131#53812yes—
335C22×C131#54012yes—
336C22×C131D4211yescharacteristic
337C22×C131#54612yes—
338C22×C131#55012yes—
339C22×C131#55012yes—
340C22×C131#55312yes—
341C22×C131#55512yes—
342C22×C131#55911yescharacteristic
343C22×C131#56012yes—
344C22×C131#56011yescharacteristic
345C22×C131H(3,𝔽4)11yescharacteristic
346C4×C131—28no—
347C4×C131—42no—
348C4×C131—42no—
349C4×C131—44no—
350C4×C131—44no—
351C4×C131—44no—
352C4×C131—82no—
353C2×C131—82no—
354C2×C131—84no—
355C2×C131#232112yes—
356C2×C131#233311yescharacteristic
357C2×C131#236312yes—
358C2×C131#236611yescharacteristic
359C2×C131#237511yescharacteristic
360C2×C131#267312yes—
361C2×C131#271412yes—
362C2×C131#273312yes—
363C2×C131#280312yes—
364#14567C13111yesmaximal, characteristic, direct product factor, Sylow
365C131#1456711yescharacteristic, direct product factor, Sylow
366C2×#392C2×C13111yescharacteristic
367C2×#390C2×C13112yescomplemented
368C2×#388C2×C13112yescomplemented
369#1440C2×C13111yescharacteristic, complemented
370#1438C2×C13112yescomplemented
371#1438C2×C13112yescomplemented
372#1437C2×C13111yescharacteristic, complemented
373#1437C2×C13112yescomplemented
374#1436C2×C13112yescomplemented
375C23×D4C22×C13112yes—
376C23×D4C22×C13111yescharacteristic
377C22×C4⋊C4C22×C13112yes—
378C22×C22⋊C4C22×C13112yes—
379C22×C22⋊C4C22×C13112yes—
380C22×C22⋊C4C22×C13112yes—
381C22×C22⋊C4C22×C13111yescharacteristic
382C22×C22⋊C4C22×C13112yes—
383C22×C22⋊C4C22×C13112yes—
384C22×C22⋊C4C22×C13112yes—
385C22×C22⋊C4C22×C13111yescharacteristic
386C22×C22⋊C4C22×C13111yescharacteristic
387C22×C42C22×C13111yescharacteristic
388C22×C42C22×C13112yes—
389#392C4×C13118yescomplemented
390#390—28no—
391#388—28no—
392C2×#95C22×C13112yes—
393C2×#95C22×C13112yes—
394C2×#95C22×C13112yes—
395C2×#95C22×C13112yes—
396C2×#95C22×C13112yes—
397C2×#95C22×C13111yescharacteristic
398C2×#95C22×C13111yescharacteristic
399C25C23×C13112yes—
400C25C23×C13111yescharacteristic
401C22×D4—24no—
402C22×D4—24no—
403C22×D4—42no—
404C22×D4—42no—
405C22×D4—42no—
406C22×D4—42no—
407C22×D4—42no—
408C22×D4—42no—
409C22×D4—41no—
410C22×D4—41no—
411C22×D4C2×C4×C13118yes—
412C22×D4C2×C4×C13114yes—
413C23×C4C23×C13112yes—
414C23×C4C23×C13111yescharacteristic
415C23×C4C23×C13111yescharacteristic
416C23×C4C23×C13112yes—
417C23×C4C23×C13112yes—
418C23×C4C23×C13112yes—
419C23×C4C23×C13112yes—
420C2×C4⋊C4—42no—
421C2×C4⋊C4—42no—
422C2×C4⋊C4D4×C13118yescomplemented
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—41no—
435C2×C22⋊C4—41no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—42no—
441C2×C22⋊C4—42no—
442C2×C22⋊C4—42no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—41no—
446C2×C22⋊C4C2×C4×C13118yes—
447C2×C22⋊C4C2×C4×C13114yes—
448C2×C42—24no—
449C2×C42—24no—
450C2×C42—41no—
451C2×C42—42no—
452C2×C42—42no—
453#95—24no—
454#95—24no—
455#95—24no—
456#95—42no—
457#95—41no—
458#95—42no—
459#95C2×C4×C13114yes—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—21no—
470C24—21no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24C22×C4×C13114yes—
483C24C22×C4×C13112yes—
484C24C24×C13111yescharacteristic
485C2×D4—216no—
486C2×D4—48no—
487C2×D4—48no—
488C2×D4—44no—
489C2×D4—48no—
490C2×D4—48no—
491C2×D4—48no—
492C2×D4—48no—
493C2×D4—48no—
494C2×D4—48no—
495C2×D4—44no—
496C2×D4—44no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4C22×C4×C13112yes—
535C22×C4C22×C4×C13112yes—
536C22×C4C22×C4×C13114yes—
537C22×C4C2×D4×C13114yes—
538C22×C4C2×D4×C13114yes—
539C22×C4C2×D4×C13114yes—
540C22×C4#41×C13114yes—
541C22×C4#41×C13114yes—
542C4⋊C4—48no—
543C22⋊C4—216no—
544C22⋊C4—44no—
545C22⋊C4—48no—
546C22⋊C4—44no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—48no—
551C22⋊C4—44no—
552C42—44no—
553C42—48no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—22no—
558C23—24no—
559C23—22no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23C23×C4×C13111yescharacteristic
611C23C22×D4×C13112yes—
612C23C2×#41×C13112yes—
613C23C2×#41×C13112yes—
614C23H(5,𝔽2)×C13112yes—
615C23H(5,𝔽2)×C13112yes—
616C23H(5,𝔽2)×C13112yes—
617C23H(5,𝔽2)×C13111yescharacteristic
618C23H(5,𝔽2)×C13111yescharacteristic
619D4—432no—
620D4—416no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4C4×D4×C13118yes—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—42no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—42no—
676C22—44no—
677C22—42no—
678C22—82no—
679C22—82no—
680C22—82no—
681C22—82no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22C2×C4×D4×C13112yes—
691C22C4×#41×C13111yescharacteristic
692C22#518×C13111yescharacteristic
693C22#518×C13112yes—
694C22#518×C13111yescharacteristic
695C22#534×C13112yes—
696C22#535×C13112yes—
697C22#538×C13112yes—
698C22#538×C13112yes—
699C22#538×C13112yes—
700C22#540×C13112yes—
701C22D42×C13111yescharacteristic
702C22#546×C13112yes—
703C22#550×C13112yes—
704C22#550×C13112yes—
705C22#553×C13112yes—
706C22#555×C13112yes—
707C22#559×C13111yescharacteristic
708C22#560×C13112yes—
709C22#560×C13111yescharacteristic
710C22H(3,𝔽4)×C13111yescharacteristic
711C4—28no—
712C4—42no—
713C4—42no—
714C4—44no—
715C4—44no—
716C4—44no—
717C4—82no—
718C2—82no—
719C2—84no—
720C2#2321×C13112yes—
721C2#2333×C13111yescharacteristic
722C2#2363×C13112yes—
723C2#2366×C13111yescharacteristic
724C2#2375×C13111yescharacteristic
725C2#2673×C13112yes—
726C2#2714×C13112yes—
727C2#2733×C13112yes—
728C2#2803×C13112yes—
subgroupG/H
center, socleC24×C131C24
commutatorC23C23×C4×C131
Frattini, cosocleC24C24×C131
prime radicalC2×#392×C131C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C131 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#390×C131C2semidirect
3. C2×#388×C131C2semidirect
4. #1440×C131C2semidirect
5. #1438×C131C2semidirect
6. #1438×C131C2semidirect
7. #1437×C131C2semidirect
8. #1437×C131C2semidirect
9. #1436×C131C2semidirect
24. #392×C131C4semidirect
57. C2×C4⋊C4×C131D4semidirect
364. #14567C131direct (N × H)
365. C131#14567direct (N × H)
367. C2×#390C2×C131semidirect
368. C2×#388C2×C131semidirect
369. #1440C2×C131semidirect
370. #1438C2×C131semidirect
371. #1438C2×C131semidirect
372. #1437C2×C131semidirect
373. #1437C2×C131semidirect
374. #1436C2×C131semidirect
389. #392C4×C131semidirect
422. C2×C4⋊C4D4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#392×C1312
C2×#390×C1312
C2×#388×C1312
#1440×C1312
#1438×C1312
#1437×C1312
#1436×C1312
#14567131