Finite Group Databasebeta

← C131×#14535 #45700419

Subgroups — C131×#14535 #45700419

Order 33536.

2066 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#394×C131C211yesmaximal, characteristic
2C2×#386×C131C212yesmaximal
3C2×#385×C131C212yesmaximal, complemented
4C2×#385×C131C212yesmaximal, complemented
5#1442×C131C212yesmaximal, complemented
6#1441×C131C211yesmaximal, characteristic, complemented
7#1440×C131C212yesmaximal, complemented
8#1437×C131C212yesmaximal, complemented
9C4⋊#95×C131C211yesmaximal, characteristic, complemented
10C23×D4×C131C2211yescharacteristic
11C24×C4×C131C2212yes—
12C22×C4⋊C4×C131C2211yescharacteristic
13C22×C4⋊C4×C131C2212yes—
14C22×C4⋊C4×C131C2211yescharacteristic
15C22×C4⋊C4×C131C2211yescharacteristic
16C22×C22⋊C4×C131C2212yes—
17C22×C22⋊C4×C131C2212yes—
18C22×C22⋊C4×C131C2212yes—
19C22×C22⋊C4×C131C2212yes—
20C22×C22⋊C4×C131C2212yes—
21C22×C42×C131C2211yescharacteristic
22#394×C131C418yescomplemented
23#386×C131—28no—
24#385×C131—28no—
25#385×C131—28no—
26C2×#95×C131C2212yes—
27C2×#95×C131C2212yes—
28C2×#95×C131C2212yes—
29C2×#95×C131C2212yes—
30C2×#95×C131C2212yes—
31C2×#95×C131C2212yes—
32C2×#95×C131C2212yes—
33C2×#95×C131C2211yescharacteristic
34C2×#95×C131C2211yescharacteristic
35C25×C131C2312yes—
36C22×D4×C131—24no—
37C22×D4×C131—24no—
38C22×D4×C131—41no—
39C22×D4×C131—41no—
40C22×D4×C131C2×C414yes—
41C23×C4×C131—24no—
42C23×C4×C131—24no—
43C23×C4×C131—24no—
44C23×C4×C131—42no—
45C23×C4×C131—42no—
46C23×C4×C131—42no—
47C23×C4×C131—42no—
48C23×C4×C131C2312yes—
49C23×C4×C131C2311yescharacteristic
50C23×C4×C131C2312yes—
51C23×C4×C131C2311yescharacteristic
52C23×C4×C131C2312yes—
53C23×C4×C131C2312yes—
54C23×C4×C131C2312yes—
55C23×C4×C131C2311yescharacteristic
56C2×C4⋊C4×C131—24no—
57C2×C4⋊C4×C131—24no—
58C2×C4⋊C4×C131—24no—
59C2×C4⋊C4×C131—41no—
60C2×C4⋊C4×C131—41no—
61C2×C4⋊C4×C131—41no—
62C2×C4⋊C4×C131—41no—
63C2×C4⋊C4×C131—42no—
64C2×C4⋊C4×C131—41no—
65C2×C4⋊C4×C131C2×C414yescomplemented
66C2×C4⋊C4×C131D414yescomplemented
67C2×C22⋊C4×C131—24no—
68C2×C22⋊C4×C131—24no—
69C2×C22⋊C4×C131—24no—
70C2×C22⋊C4×C131—24no—
71C2×C22⋊C4×C131—24no—
72C2×C22⋊C4×C131—24no—
73C2×C22⋊C4×C131—24no—
74C2×C22⋊C4×C131—24no—
75C2×C22⋊C4×C131—42no—
76C2×C22⋊C4×C131—42no—
77C2×C22⋊C4×C131—42no—
78C2×C22⋊C4×C131—42no—
79C2×C22⋊C4×C131C2×C418yescomplemented
80C2×C22⋊C4×C131C2×C418yescomplemented
81C2×C22⋊C4×C131D418yes—
82C2×C42×C131—22no—
83C2×C42×C131—41no—
84C2×C42×C131—41no—
85#95×C131—24no—
86#95×C131—24no—
87#95×C131—24no—
88#95×C131—24no—
89#95×C131—24no—
90#95×C131—24no—
91#95×C131—42no—
92#95×C131—41no—
93#95×C131C2×C414yescomplemented
94C24×C131—22no—
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—22no—
105C24×C131—22no—
106C24×C131C22×C414yes—
107C24×C131C2×D414yes—
108C24×C131#4114yes—
109C24×C131C2411yescharacteristic
110C2×D4×C131—216no—
111C2×D4×C131—44no—
112C2×D4×C131—44no—
113C2×D4×C131—48no—
114C2×D4×C131—44no—
115C22×C4×C131—21no—
116C22×C4×C131—21no—
117C22×C4×C131—21no—
118C22×C4×C131—21no—
119C22×C4×C131—22no—
120C22×C4×C131—22no—
121C22×C4×C131—22no—
122C22×C4×C131—22no—
123C22×C4×C131—22no—
124C22×C4×C131—22no—
125C22×C4×C131—22no—
126C22×C4×C131—22no—
127C22×C4×C131—22no—
128C22×C4×C131—22no—
129C22×C4×C131—22no—
130C22×C4×C131—22no—
131C22×C4×C131—22no—
132C22×C4×C131—22no—
133C22×C4×C131—22no—
134C22×C4×C131—21no—
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—21no—
142C22×C4×C131—22no—
143C22×C4×C131—22no—
144C22×C4×C131—22no—
145C22×C4×C131—22no—
146C22×C4×C131—22no—
147C22×C4×C131—21no—
148C22×C4×C131—21no—
149C22×C4×C131—22no—
150C22×C4×C131—22no—
151C22×C4×C131—22no—
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—48no—
159C22×C4×C131—48no—
160C22×C4×C131—48no—
161C22×C4×C131—48no—
162C22×C4×C131—48no—
163C22×C4×C131—48no—
164C22×C4×C131—48no—
165C22×C4×C131C22×C414yes—
166C22×C4×C131C22×C412yes—
167C22×C4×C131C22×C412yes—
168C22×C4×C131C22×C412yes—
169C22×C4×C131C2×D414yes—
170C22×C4×C131C2×D414yes—
171C22×C4×C131C2×D414yes—
172C22×C4×C131C2×D412yes—
173C22×C4×C131#4112yes—
174C4⋊C4×C131—44no—
175C4⋊C4×C131—44no—
176C4⋊C4×C131—44no—
177C4⋊C4×C131—48no—
178C22⋊C4×C131—216no—
179C22⋊C4×C131—216no—
180C22⋊C4×C131—48no—
181C22⋊C4×C131—48no—
182C22⋊C4×C131—48no—
183C42×C131—44no—
184C23×C131—24no—
185C23×C131—24no—
186C23×C131—24no—
187C23×C131—24no—
188C23×C131—24no—
189C23×C131—24no—
190C23×C131—24no—
191C23×C131—24no—
192C23×C131—24no—
193C23×C131—24no—
194C23×C131—24no—
195C23×C131—24no—
196C23×C131—24no—
197C23×C131—24no—
198C23×C131—24no—
199C23×C131—24no—
200C23×C131—24no—
201C23×C131—24no—
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×C131C4×D418yes—
219C23×C131C23×C411yescharacteristic
220C23×C131C22×D412yes—
221C23×C131C22×D411yescharacteristic
222C23×C131C2×#4111yescharacteristic
223C23×C131C2×#4112yes—
224C23×C131H(5,𝔽2)11yescharacteristic
225C23×C131H(5,𝔽2)11yescharacteristic
226C23×C131H(5,𝔽2)11yescharacteristic
227C23×C131H(5,𝔽2)12yes—
228C23×C1312−1+411yescharacteristic
229C23×C1312−1+412yes—
230D4×C131—416no—
231C2×C4×C131—22no—
232C2×C4×C131—22no—
233C2×C4×C131—22no—
234C2×C4×C131—22no—
235C2×C4×C131—22no—
236C2×C4×C131—22no—
237C2×C4×C131—24no—
238C2×C4×C131—24no—
239C2×C4×C131—24no—
240C2×C4×C131—24no—
241C2×C4×C131—22no—
242C2×C4×C131—22no—
243C2×C4×C131—24no—
244C2×C4×C131—24no—
245C2×C4×C131—24no—
246C2×C4×C131—24no—
247C2×C4×C131—24no—
248C2×C4×C131—24no—
249C2×C4×C131—24no—
250C2×C4×C131—24no—
251C2×C4×C131—24no—
252C2×C4×C131—24no—
253C2×C4×C131—432no—
254C2×C4×C131—42no—
255C2×C4×C131—42no—
256C2×C4×C131—42no—
257C2×C4×C131—42no—
258C2×C4×C131—42no—
259C2×C4×C131—42no—
260C2×C4×C131—41no—
261C2×C4×C131—42no—
262C2×C4×C131—42no—
263C2×C4×C131—42no—
264C2×C4×C131—41no—
265C2×C4×C131—42no—
266C2×C4×C131—42no—
267C2×C4×C131—42no—
268C2×C4×C131—42no—
269C2×C4×C131—41no—
270C2×C4×C131—41no—
271C2×C4×C131—42no—
272C2×C4×C131—42no—
273C2×C4×C131—42no—
274C2×C4×C131—42no—
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—42no—
282C2×C4×C131—42no—
283C2×C4×C131C4×D414yes—
284C22×C131—28no—
285C22×C131—28no—
286C22×C131—28no—
287C22×C131—44no—
288C22×C131—44no—
289C22×C131—44no—
290C22×C131—44no—
291C22×C131—44no—
292C22×C131—44no—
293C22×C131—44no—
294C22×C131—44no—
295C22×C131—44no—
296C22×C131—44no—
297C22×C131—44no—
298C22×C131—44no—
299C22×C131C2×C4×D412yes—
300C22×C131C2×C4×D411yescharacteristic
301C22×C131#51811yescharacteristic
302C22×C131#52011yescharacteristic
303C22×C131#52012yes—
304C22×C131#53412yes—
305C22×C131#53411yescharacteristic
306C22×C131#53612yes—
307C22×C131#53711yescharacteristic
308C22×C131#53811yescharacteristic
309C22×C131#53912yes—
310C22×C131#53912yes—
311C22×C131#53911yescharacteristic
312C22×C131D4211yescharacteristic
313C22×C131D4212yes—
314C22×C131#54612yes—
315C22×C131#54712yes—
316C22×C131#54812yes—
317C22×C131#55111yescharacteristic
318C22×C131#55312yes—
319C22×C131H(3,𝔽4)11yescharacteristic
320C22×C131#56212yes—
321C22×C131#56311yescharacteristic
322C4×C131—24no—
323C4×C131—42no—
324C4×C131—42no—
325C4×C131—44no—
326C4×C131—44no—
327C4×C131—44no—
328C4×C131—44no—
329C4×C131—82no—
330C2×C131—48no—
331C2×C131#232212yes—
332C2×C131#232511yescharacteristic
333C2×C131#235811yescharacteristic
334C2×C131#236112yes—
335C2×C131#237911yescharacteristic
336C2×C131#267911yescharacteristic
337C2×C131#268011yescharacteristic
338C2×C131#268112yes—
339C2×C131#270812yes—
340C2×C131#272811yescharacteristic
341C2×C131#278211yescharacteristic
342#14535C13111yesmaximal, characteristic, direct product factor, Sylow
343C131#1453511yescharacteristic, direct product factor, Sylow
344C2×#394C2×C13111yescharacteristic
345C2×#386C2×C13112yes—
346C2×#385C2×C13112yescomplemented
347C2×#385C2×C13112yescomplemented
348#1442C2×C13112yescomplemented
349#1441C2×C13111yescharacteristic, complemented
350#1440C2×C13112yescomplemented
351#1437C2×C13112yescomplemented
352C4⋊#95C2×C13111yescharacteristic, complemented
353C23×D4C22×C13111yescharacteristic
354C24×C4C22×C13112yes—
355C22×C4⋊C4C22×C13111yescharacteristic
356C22×C4⋊C4C22×C13112yes—
357C22×C4⋊C4C22×C13111yescharacteristic
358C22×C4⋊C4C22×C13111yescharacteristic
359C22×C22⋊C4C22×C13112yes—
360C22×C22⋊C4C22×C13112yes—
361C22×C22⋊C4C22×C13112yes—
362C22×C22⋊C4C22×C13112yes—
363C22×C22⋊C4C22×C13112yes—
364C22×C42C22×C13111yescharacteristic
365#394C4×C13118yescomplemented
366#386—28no—
367#385—28no—
368#385—28no—
369C2×#95C22×C13112yes—
370C2×#95C22×C13112yes—
371C2×#95C22×C13112yes—
372C2×#95C22×C13112yes—
373C2×#95C22×C13112yes—
374C2×#95C22×C13112yes—
375C2×#95C22×C13112yes—
376C2×#95C22×C13111yescharacteristic
377C2×#95C22×C13111yescharacteristic
378C25C23×C13112yes—
379C22×D4—24no—
380C22×D4—24no—
381C22×D4—41no—
382C22×D4—41no—
383C22×D4C2×C4×C13114yes—
384C23×C4—24no—
385C23×C4—24no—
386C23×C4—24no—
387C23×C4—42no—
388C23×C4—42no—
389C23×C4—42no—
390C23×C4—42no—
391C23×C4C23×C13112yes—
392C23×C4C23×C13111yescharacteristic
393C23×C4C23×C13112yes—
394C23×C4C23×C13111yescharacteristic
395C23×C4C23×C13112yes—
396C23×C4C23×C13112yes—
397C23×C4C23×C13112yes—
398C23×C4C23×C13111yescharacteristic
399C2×C4⋊C4—24no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—41no—
403C2×C4⋊C4—41no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4—41no—
406C2×C4⋊C4—42no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4C2×C4×C13114yescomplemented
409C2×C4⋊C4D4×C13114yescomplemented
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—42no—
419C2×C22⋊C4—42no—
420C2×C22⋊C4—42no—
421C2×C22⋊C4—42no—
422C2×C22⋊C4C2×C4×C13118yescomplemented
423C2×C22⋊C4C2×C4×C13118yescomplemented
424C2×C22⋊C4D4×C13118yes—
425C2×C42—22no—
426C2×C42—41no—
427C2×C42—41no—
428#95—24no—
429#95—24no—
430#95—24no—
431#95—24no—
432#95—24no—
433#95—24no—
434#95—42no—
435#95—41no—
436#95C2×C4×C13114yescomplemented
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24C22×C4×C13114yes—
450C24C2×D4×C13114yes—
451C24#41×C13114yes—
452C24C24×C13111yescharacteristic
453C2×D4—216no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—48no—
457C2×D4—44no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4C22×C4×C13114yes—
509C22×C4C22×C4×C13112yes—
510C22×C4C22×C4×C13112yes—
511C22×C4C22×C4×C13112yes—
512C22×C4C2×D4×C13114yes—
513C22×C4C2×D4×C13114yes—
514C22×C4C2×D4×C13114yes—
515C22×C4C2×D4×C13112yes—
516C22×C4#41×C13112yes—
517C4⋊C4—44no—
518C4⋊C4—44no—
519C4⋊C4—44no—
520C4⋊C4—48no—
521C22⋊C4—216no—
522C22⋊C4—216no—
523C22⋊C4—48no—
524C22⋊C4—48no—
525C22⋊C4—48no—
526C42—44no—
527C23—24no—
528C23—24no—
529C23—24no—
530C23—24no—
531C23—24no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23C4×D4×C13118yes—
562C23C23×C4×C13111yescharacteristic
563C23C22×D4×C13112yes—
564C23C22×D4×C13111yescharacteristic
565C23C2×#41×C13111yescharacteristic
566C23C2×#41×C13112yes—
567C23H(5,𝔽2)×C13111yescharacteristic
568C23H(5,𝔽2)×C13111yescharacteristic
569C23H(5,𝔽2)×C13111yescharacteristic
570C23H(5,𝔽2)×C13112yes—
571C232−1+4×C13111yescharacteristic
572C232−1+4×C13112yes—
573D4—416no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—432no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4C4×D4×C13114yes—
627C22—28no—
628C22—28no—
629C22—28no—
630C22—44no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22C2×C4×D4×C13112yes—
643C22C2×C4×D4×C13111yescharacteristic
644C22#518×C13111yescharacteristic
645C22#520×C13111yescharacteristic
646C22#520×C13112yes—
647C22#534×C13112yes—
648C22#534×C13111yescharacteristic
649C22#536×C13112yes—
650C22#537×C13111yescharacteristic
651C22#538×C13111yescharacteristic
652C22#539×C13112yes—
653C22#539×C13111yescharacteristic
654C22#539×C13112yes—
655C22D42×C13111yescharacteristic
656C22D42×C13112yes—
657C22#546×C13112yes—
658C22#547×C13112yes—
659C22#548×C13112yes—
660C22#551×C13111yescharacteristic
661C22#553×C13112yes—
662C22H(3,𝔽4)×C13111yescharacteristic
663C22#562×C13112yes—
664C22#563×C13111yescharacteristic
665C4—24no—
666C4—42no—
667C4—42no—
668C4—44no—
669C4—44no—
670C4—44no—
671C4—44no—
672C4—82no—
673C2—48no—
674C2#2322×C13112yes—
675C2#2325×C13111yescharacteristic
676C2#2358×C13111yescharacteristic
677C2#2361×C13112yes—
678C2#2379×C13111yescharacteristic
679C2#2679×C13111yescharacteristic
680C2#2680×C13111yescharacteristic
681C2#2681×C13112yes—
682C2#2708×C13112yes—
683C2#2728×C13111yescharacteristic
684C2#2782×C13111yescharacteristic
subgroupG/H
center, socleC24×C131C24
commutatorC23C23×C4×C131
Frattini, cosocleC24C24×C131
prime radicalC23×D4×C131C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C131 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×#385×C131C2semidirect
4. C2×#385×C131C2semidirect
5. #1442×C131C2semidirect
6. #1441×C131C2semidirect
7. #1440×C131C2semidirect
8. #1437×C131C2semidirect
9. C4⋊#95×C131C2semidirect
22. #394×C131C4semidirect
65. C2×C4⋊C4×C131C2×C4semidirect
66. C2×C4⋊C4×C131D4semidirect
79. C2×C22⋊C4×C131C2×C4semidirect
80. C2×C22⋊C4×C131C2×C4semidirect
93. #95×C131C2×C4semidirect
342. #14535C131direct (N × H)
343. C131#14535direct (N × H)
346. C2×#385C2×C131semidirect
347. C2×#385C2×C131semidirect
348. #1442C2×C131semidirect
349. #1441C2×C131semidirect
350. #1440C2×C131semidirect
351. #1437C2×C131semidirect
352. C4⋊#95C2×C131semidirect
365. #394C4×C131semidirect
408. C2×C4⋊C4C2×C4×C131semidirect
409. C2×C4⋊C4D4×C131semidirect
422. C2×C22⋊C4C2×C4×C131semidirect
423. C2×C22⋊C4C2×C4×C131semidirect
436. #95C2×C4×C131semidirect

Maximal subgroups

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

subgroupindex
C2×#394×C1312
C2×#386×C1312
C2×#385×C1312
#1442×C1312
#1441×C1312
#1440×C1312
#1437×C1312
C4⋊#95×C1312
#14535131