Finite Group Databasebeta

← #803456

Subgroups — #803456

Order 512.

4354 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2483C212yesmaximal, complemented
2C2×D4×C22⋊C4C212yesmaximal
3#16391C212yesmaximal, complemented
4#15966C212yesmaximal, complemented
5#15954C214yesmaximal, complemented
6#15952C212yesmaximal, complemented
7#15150C211yesmaximal, characteristic, complemented
8#15132C212yesmaximal, complemented
9#14727C214yesmaximal, complemented
10#14018C212yesmaximal, complemented
11#13977C212yesmaximal, complemented
12#13916C212yesmaximal, complemented
13#13916C212yesmaximal, complemented
14#13902C211yesmaximal, characteristic
15C4×#397C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×C4×D4C2212yes—
18C22×C4×D4C2212yes—
19C23×C22⋊C4C2214yes—
20#2483—216no—
21C2×#397C2212yes—
22C2×#397C2214yes—
23C2×#397C2212yes—
24C2×#397C2211yescharacteristic
25D4×C22⋊C4—216no—
26C2×#390C2212yes—
27C2×#390C2212yes—
28C2×#390C2212yes—
29C2×#390C2212yes—
30C2×#389C2212yescomplemented
31C2×#386C2214yes—
32C2×#386C2214yes—
33C2×#385C2214yescomplemented
34C2×#385C2214yescomplemented
35C2×#385C2214yescomplemented
36C2×#384C2211yescharacteristic, complemented
37C2×#381C2214yescomplemented
38C2×#381C2214yescomplemented
39C2×#380C2212yes—
40C2×#380C2211yescharacteristic
41C2×#379C2214yes—
42C2×#379C2212yes—
43C2×#379C2212yes—
44C2×C4×C4⋊C4C2211yescharacteristic, complemented
45C2×C4×C22⋊C4C2212yes—
46C2×C4×C22⋊C4C2211yescharacteristic
47#1445C2211yescharacteristic, complemented
48#1445C2212yescomplemented
49#1445C2212yescomplemented
50#1443C2214yescomplemented
51#1443C2212yescomplemented
52#1442C2214yescomplemented
53#1442C2211yescharacteristic, complemented
54#1440C2214yes—
55#1440C2212yes—
56#1440C2214yescomplemented
57#1440C2214yescomplemented
58#1440C2214yescomplemented
59#1440C2214yescomplemented
60#1439C2211yescharacteristic
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1438C2212yes—
66#1438C2212yes—
67C4⋊#95C2212yescomplemented
68C4⋊#95C2212yescomplemented
69C4⋊#95C2212yescomplemented
70C4⋊#95C2211yescharacteristic, complemented
71C4⋊#95C2212yescomplemented
72C22⋊#95C2214yescomplemented
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C4×#95C2211yescharacteristic, complemented
76C4×#95C2212yescomplemented
77C26C2312yes—
78C23×D4—28no—
79C23×D4—28no—
80C23×D4—42no—
81C23×D4—42no—
82C23×D4D418yes—
83C23×D4C2312yes—
84C23×D4C2312yes—
85C24×C4C2311yescharacteristic
86C24×C4C2314yes—
87C24×C4C2314yes—
88C2×C4×D4—28no—
89C2×C4×D4—28no—
90C2×C4×D4—28no—
91C2×C4×D4—28no—
92C2×C4×D4—44no—
93C2×C4×D4—44no—
94C22×C4⋊C4C2312yes—
95C22×C4⋊C4C2312yes—
96C22×C4⋊C4C2312yes—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2314yes—
100C22×C4⋊C4C2311yescharacteristic
101C22×C4⋊C4C2311yescharacteristic
102C22×C22⋊C4—216no—
103C22×C22⋊C4—216no—
104C22×C22⋊C4—48no—
105C22×C22⋊C4C2314yes—
106C22×C22⋊C4C2314yes—
107C22×C22⋊C4C2311yescharacteristic
108C22×C22⋊C4C2314yes—
109C22×C22⋊C4C2314yes—
110C22×C22⋊C4C2314yes—
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2314yes—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C42C2312yes—
122C22×C42C2312yes—
123C22×C42C2311yescharacteristic
124C22×C42C2311yescharacteristic
125#397—28no—
126#397—216no—
127#397—44no—
128#397D418yescomplemented
129#390—28no—
130#390—28no—
131#390—28no—
132#390—28no—
133#389—44no—
134#386—216no—
135#386—216no—
136#385—216no—
137#385—216no—
138#385—48no—
139#384—42no—
140#381—216no—
141#381—216no—
142#380—28no—
143#380—42no—
144#379—216no—
145#379—28no—
146#379—44no—
147C4×C4⋊C4—42no—
148C4×C22⋊C4—28no—
149C4×C22⋊C4—42no—
150C2×#95C2314yes—
151C2×#95C2314yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2312yes—
155C2×#95C2312yes—
156C2×#95C2312yes—
157C2×#95C2312yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2312yes—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2312yes—
164C2×#95C2311yescharacteristic
165C2×#95C2312yes—
166C2×#95C2314yes—
167C2×#95C2314yes—
168C2×#95C2314yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2311yescharacteristic
172C2×#95C2311yescharacteristic
173C2×#95C2311yescharacteristic
174C2×#95C2312yes—
175C25—24no—
176C25—28no—
177C25—28no—
178C25—24no—
179C25—42no—
180C25—42no—
181C25—44no—
182C25—44no—
183C25—42no—
184C25—42no—
185C25C2×D418yes—
186C25C2411yescharacteristic
187C25C2414yes—
188C22×D4—28no—
189C22×D4—28no—
190C22×D4—264no—
191C22×D4—24no—
192C22×D4—24no—
193C22×D4—24no—
194C22×D4—24no—
195C22×D4—416no—
196C22×D4—42no—
197C22×D4—42no—
198C22×D4—416no—
199C22×D4—416no—
200C22×D4—432no—
201C22×D4C2×D418yes—
202C22×D4C2×D418yes—
203C22×D4#4118yes—
204C22×D4#4118yes—
205C23×C4—24no—
206C23×C4—24no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—28no—
210C23×C4—28no—
211C23×C4—28no—
212C23×C4—28no—
213C23×C4—28no—
214C23×C4—28no—
215C23×C4—44no—
216C23×C4—44no—
217C23×C4—44no—
218C23×C4—44no—
219C23×C4—44no—
220C23×C4—44no—
221C23×C4—44no—
222C23×C4—44no—
223C23×C4C2×D414yes—
224C23×C4C2414yes—
225C23×C4C2412yes—
226C23×C4C2412yes—
227C23×C4C2411yescharacteristic
228C23×C4C2414yes—
229C23×C4C2414yes—
230C23×C4C2411yescharacteristic
231C23×C4C2411yescharacteristic
232C23×C4C2412yes—
233C23×C4C2412yes—
234C23×C4C2411yescharacteristic
235C23×C4C2411yescharacteristic
236C23×C4C2411yescharacteristic
237C4×D4—432no—
238C4×D4—432no—
239C2×C4⋊C4—24no—
240C2×C4⋊C4—24no—
241C2×C4⋊C4—24no—
242C2×C4⋊C4—24no—
243C2×C4⋊C4—24no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—24no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—28no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—41no—
252C2×C4⋊C4—42no—
253C2×C4⋊C4—41no—
254C2×C4⋊C4—41no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—42no—
258C2×C4⋊C4—44no—
259C2×C4⋊C4—44no—
260C2×C4⋊C4—42no—
261C2×C4⋊C4C2×D414yescomplemented
262C2×C22⋊C4—24no—
263C2×C22⋊C4—24no—
264C2×C22⋊C4—28no—
265C2×C22⋊C4—28no—
266C2×C22⋊C4—28no—
267C2×C22⋊C4—28no—
268C2×C22⋊C4—28no—
269C2×C22⋊C4—28no—
270C2×C22⋊C4—24no—
271C2×C22⋊C4—28no—
272C2×C22⋊C4—28no—
273C2×C22⋊C4—28no—
274C2×C22⋊C4—28no—
275C2×C22⋊C4—28no—
276C2×C22⋊C4—28no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—28no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—464no—
289C2×C22⋊C4—44no—
290C2×C22⋊C4—44no—
291C2×C22⋊C4—41no—
292C2×C22⋊C4—44no—
293C2×C22⋊C4—44no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—44no—
299C2×C22⋊C4—41no—
300C2×C22⋊C4—41no—
301C2×C22⋊C4—44no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4C2×D418yes—
310C2×C22⋊C4C2×D414yes—
311C2×C42—24no—
312C2×C42—24no—
313C2×C42—24no—
314C2×C42—24no—
315C2×C42—24no—
316C2×C42—24no—
317C2×C42—24no—
318C2×C42—24no—
319C2×C42—22no—
320C2×C42—22no—
321#95—24no—
322#95—24no—
323#95—28no—
324#95—24no—
325#95—28no—
326#95—28no—
327#95—28no—
328#95—28no—
329#95—24no—
330#95—42no—
331#95—42no—
332#95—41no—
333#95—42no—
334#95—44no—
335#95—44no—
336#95—41no—
337#95—41no—
338#95—42no—
339#95—42no—
340#95—44no—
341#95—44no—
342#95—42no—
343#95—44no—
344#95C2×D414yescomplemented
345#95C2×D418yescomplemented
346C24—24no—
347C24—22no—
348C24—22no—
349C24—24no—
350C24—24no—
351C24—24no—
352C24—21no—
353C24—21no—
354C24—21no—
355C24—24no—
356C24—24no—
357C24—24no—
358C24—24no—
359C24—24no—
360C24—24no—
361C24—24no—
362C24—24no—
363C24—22no—
364C24—22no—
365C24—21no—
366C24—232no—
367C24—216no—
368C24—48no—
369C24—416no—
370C24—48no—
371C24—48no—
372C24—416no—
373C24—48no—
374C24—416no—
375C24—416no—
376C24—416no—
377C24—416no—
378C24—84no—
379C24—84no—
380C24—88no—
381C24—88no—
382C24—88no—
383C24—88no—
384C24—84no—
385C24—84no—
386C24—84no—
387C24—84no—
388C24—88no—
389C24C22×D418yes—
390C24C22×D412yes—
391C24C22×D412yes—
392C24C2×#4118yes—
393C24C2×#4118yes—
394C24H(5,𝔽2)12yes—
395C24C2511yescharacteristic
396C2×D4—232no—
397C2×D4—216no—
398C2×D4—216no—
399C2×D4—216no—
400C2×D4—216no—
401C2×D4—216no—
402C2×D4—216no—
403C2×D4—48no—
404C2×D4—4128no—
405C2×D4—48no—
406C2×D4—416no—
407C2×D4—48no—
408C2×D4#123132yes—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—216no—
438C22×C4—28no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—21no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—416no—
480C22×C4—416no—
481C22×C4—416no—
482C22×C4—416no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—48no—
486C22×C4—416no—
487C22×C4—416no—
488C22×C4—88no—
489C22×C4—88no—
490C22×C4—88no—
491C22×C4—88no—
492C22×C4—88no—
493C22×C4—88no—
494C22×C4—88no—
495C22×C4—88no—
496C22×C4C22×D412yes—
497C22×C4C22×D414yes—
498C22×C4C22×D412yes—
499C22×C4C22×D412yes—
500C22×C4C22×D414yes—
501C22×C4C22×D412yes—
502C22×C4C2×#4114yes—
503C22×C4C2×#4114yes—
504C22×C4H(5,𝔽2)12yes—
505C22×C4H(5,𝔽2)12yes—
506C22×C4H(5,𝔽2)12yes—
507C4⋊C4—44no—
508C4⋊C4—44no—
509C4⋊C4—48no—
510C4⋊C4—48no—
511C4⋊C4—48no—
512C4⋊C4—84no—
513C4⋊C4—88no—
514C4⋊C4—84no—
515C22⋊C4—216no—
516C22⋊C4—44no—
517C22⋊C4—416no—
518C22⋊C4—416no—
519C22⋊C4—416no—
520C22⋊C4—44no—
521C22⋊C4—416no—
522C22⋊C4—416no—
523C22⋊C4—48no—
524C22⋊C4—416no—
525C22⋊C4—416no—
526C22⋊C4—416no—
527C22⋊C4—88no—
528C22⋊C4—88no—
529C22⋊C4—84no—
530C22⋊C4—88no—
531C42—48no—
532C42—48no—
533C42—44no—
534C42—44no—
535C23—24no—
536C23—28no—
537C23—28no—
538C23—22no—
539C23—28no—
540C23—28no—
541C23—28no—
542C23—24no—
543C23—24no—
544C23—28no—
545C23—28no—
546C23—28no—
547C23—28no—
548C23—24no—
549C23—28no—
550C23—28no—
551C23—22no—
552C23—28no—
553C23—22no—
554C23—22no—
555C23—28no—
556C23—28no—
557C23—28no—
558C23—24no—
559C23—24no—
560C23—28no—
561C23—28no—
562C23—28no—
563C23—22no—
564C23—22no—
565C23—432no—
566C23—464no—
567C23—44no—
568C23—44no—
569C23—41no—
570C23—42no—
571C23—41no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—42no—
578C23—44no—
579C23—42no—
580C23—44no—
581C23—44no—
582C23—42no—
583C23—42no—
584C23—44no—
585C23—44no—
586C23—41no—
587C23—44no—
588C23—41no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—816no—
594C23—832no—
595C23—816no—
596C23—832no—
597C23—832no—
598C23—816no—
599C23—816no—
600C23—816no—
601C23—816no—
602C23C2×#123116yes—
603C23D4214yes—
604C23C23×D411yescharacteristic
605C23C23×D411yescharacteristic
606C23C22×#4112yes—
607C23C22×#4112yes—
608C23C2×H(5,𝔽2)11yescharacteristic
609C23C2×H(5,𝔽2)11yescharacteristic
610C23C2×H(5,𝔽2)11yescharacteristic
611C23C2×H(5,𝔽2)11yescharacteristic
612C23#58512yes—
613C23#58512yes—
614C23#58511yescharacteristic
615D4—264no—
616D4—432no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—416no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—832no—
693C2×C4—832no—
694C2×C4C2×#12318yes—
695C2×C4#53414yes—
696C2×C4#55114yes—
697C2×C4#55114yes—
698C2×C4#55118yes—
699C22—216no—
700C22—24no—
701C22—216no—
702C22—216no—
703C22—28no—
704C22—48no—
705C22—42no—
706C22—48no—
707C22—48no—
708C22—44no—
709C22—48no—
710C22—48no—
711C22—44no—
712C22—48no—
713C22—42no—
714C22—48no—
715C22—42no—
716C22—42no—
717C22—48no—
718C22—48no—
719C22—42no—
720C22—48no—
721C22—44no—
722C22—48no—
723C22—42no—
724C22—48no—
725C22—864no—
726C22C22×#12312yes—
727C22C2×#53411yescharacteristic
728C22C2×D4211yescharacteristic
729C22D4×#4112yes—
730C22D4×#4112yes—
731C22C2×#55111yescharacteristic
732C22C2×#55112yes—
733C22C2×#55111yescharacteristic
734C22#348512yes—
735C22#349611yescharacteristic
736C22#349611yescharacteristic
737C22#349811yescharacteristic
738C22#351312yes—
739C22#351312yes—
740C22#351312yes—
741C22#351412yes—
742C22#352112yes—
743C22#352112yes—
744C22#353711yescharacteristic
745C22#354011yescharacteristic
746C22#355111yescharacteristic
747C22#355811yescharacteristic
748C22#356212yes—
749C4—42no—
750C4—42no—
751C4—44no—
752C4—42no—
753C4—42no—
754C4—44no—
755C4—84no—
756C4—81no—
757C4—82no—
758C4—84no—
759C4—82no—
760C4—84no—
761C4#248318yescomplemented
762C2—416no—
763C2—44no—
764C2C2×#248311yescharacteristic
765C2#3579112yes—
766C2D4×#12312yes—
767C2#3935811yescharacteristic
768C2#4267311yescharacteristic
769C2#4517112yes—
770C2#4521411yescharacteristic
771C2#4538011yescharacteristic
772C2#5937511yescharacteristic
773C2#5947612yes—
774C2#5984311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2483C2semidirect
3. #16391C2semidirect
4. #15966C2semidirect
5. #15954C2semidirect
6. #15952C2semidirect
7. #15150C2semidirect
8. #15132C2semidirect
9. #14727C2semidirect
10. #14018C2semidirect
11. #13977C2semidirect
12. #13916C2semidirect
13. #13916C2semidirect
15. C4×#397C2semidirect
30. C2×#389C22semidirect
33. C2×#385C22semidirect
34. C2×#385C22semidirect
35. C2×#385C22semidirect
36. C2×#384C22semidirect
37. C2×#381C22semidirect
38. C2×#381C22semidirect
44. C2×C4×C4⋊C4C22semidirect
47. #1445C22semidirect
48. #1445C22semidirect
49. #1445C22semidirect
50. #1443C22semidirect
51. #1443C22semidirect
52. #1442C22semidirect
53. #1442C22semidirect
56. #1440C22semidirect
57. #1440C22semidirect
58. #1440C22semidirect
59. #1440C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
67. C4⋊#95C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C4×#95C22semidirect
76. C4×#95C22semidirect
128. #397D4semidirect
261. C2×C4⋊C4C2×D4semidirect
344. #95C2×D4semidirect
345. #95C2×D4semidirect
761. C4#2483semidirect

Maximal subgroups

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

subgroupindex
C2×#24832
C2×D4×C22⋊C42
#163912
#159662
#159542
#159522
#151502
#151322
#147272
#140182
#139772
#139162
#139022
C4×#3972