Finite Group Databasebeta

← #6578973

Subgroups — #6578973

Order 512.

2473 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3114C212yesmaximal, complemented
2#36117C211yesmaximal, characteristic, complemented
3C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#33002C212yesmaximal, complemented
5#32902C211yesmaximal, characteristic
6#27909C211yesmaximal, characteristic, complemented
7#27647C211yesmaximal, characteristic, complemented
8#26390C214yesmaximal, complemented
9#26188C214yesmaximal, complemented
10#26041C212yesmaximal, complemented
11#24731C212yesmaximal, complemented
12#24608C212yesmaximal, complemented
13#24066C212yesmaximal, complemented
14#23001C212yesmaximal, complemented
15#22671C212yesmaximal, complemented
16#22603C211yesmaximal, characteristic, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C2×#529C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2212yes—
21C23×C4⋊C4—21no—
22#3114—216no—
23C2×#483C2212yes—
24C2×#480C2212yes—
25C2×#480C2212yes—
26C2×#478C2214yes—
27C2×#463C2214yes—
28C2×#459C2212yes—
29C2×#450C2211yescharacteristic
30C2×#447C2212yes—
31C2×#442C2214yes—
32C2×#440C2214yes—
33C2×C4×SD16C2212yes—
34C2×#432C2212yes—
35#2856C2211yescharacteristic
36#2854C2212yes—
37#2552C2211yescharacteristic, complemented
38#2548C2211yescharacteristic, complemented
39#2512—21no—
40#2501—21no—
41#2479—22no—
42#2454C2212yescomplemented
43#2448C2212yescomplemented
44#2425—22no—
45#2366C2211yescharacteristic, complemented
46#2361—21no—
47#2354—21no—
48Q8×C4⋊C4C2211yescharacteristic, complemented
49D4×C4⋊C4—21no—
50D4×C4⋊C4—22no—
51D4×C4⋊C4—21no—
52D4×C4⋊C4C2214yes—
53D4×C4⋊C4C2212yes—
54D4×C4⋊C4C2212yes—
55C4×C22⋊Q8C2211yescharacteristic
56C2×#389C2212yes—
57C2×#385—22no—
58C2×#384C2211yescharacteristic
59C2×#380—21no—
60C2×C4×C4⋊C4C2211yescharacteristic
61#2093C2214yescomplemented
62#2087C2214yescomplemented
63#2084C2212yescomplemented
64#2072C2212yescomplemented
65#2065C2214yescomplemented
66#2059C2214yescomplemented
67#2042C2214yescomplemented
68#1957C2212yescomplemented
69#1948C2212yescomplemented
70#1944C2214yescomplemented
71#1939C2212yescomplemented
72#1936C2214yescomplemented
73#1917C2214yescomplemented
74#1879C2214yes—
75#1879C2214yes—
76#1879C2214yes—
77#1877C2212yes—
78#1874C2212yes—
79#1872C2211yescharacteristic
80#1864C2212yes—
81#1864C2214yescomplemented
82#1863C2214yescomplemented
83#1862C2214yes—
84#1862C2214yes—
85#1853C2211yescharacteristic
86#1845C2212yescomplemented
87#1823C2212yes—
88#1817C2212yes—
89#1803C2212yescomplemented
90#1802C2212yes—
91#1797C2211yescharacteristic
92#1786C2211yescharacteristic
93#1770C2212yescomplemented
94C4×#102C2212yes—
95C4×C22⋊C8C2211yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4—22no—
99C22×SD16C2312yes—
100C22×D8C2314yes—
101C2×#127C2311yescharacteristic
102#529—28no—
103#529—44no—
104C2×#126—22no—
105C2×#125C2312yes—
106C2×#124C2312yes—
107C2×#123—22no—
108C2×#123—22no—
109C2×C22⋊Q8C2311yescharacteristic
110C2×#121—21no—
111C2×#121—21no—
112C2×#121C2312yes—
113C2×C4×Q8C2311yescharacteristic
114C2×C4×Q8C2312yes—
115C2×C4×D4—28no—
116C2×C4×D4—22no—
117C2×C4×D4—21no—
118C2×C4×D4—28no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—44no—
124C2×C4×D4C2312yes—
125C2×C4×D4C2314yes—
126C2×C4×D4C2314yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×#117—22no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—24no—
136C22×C4⋊C4—48no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2311yescharacteristic
141C22×C22⋊C4—21no—
142C22×C22⋊C4—22no—
143C22×C42C2311yescharacteristic
144C22×C42C2312yes—
145#483—28no—
146#480—28no—
147#480—44no—
148#478—216no—
149#463—216no—
150#459—28no—
151#450D418yescomplemented
152#447—28no—
153#442—216no—
154#440—216no—
155C4×SD16—28no—
156#432—28no—
157C2×#107C2314yes—
158C2×#107C2314yes—
159C2×#106C2314yes—
160C2×#106C2312yes—
161C2×C4⋊C8C2314yes—
162C2×C4⋊C8C2312yes—
163C2×#103C2314yes—
164C2×#103C2312yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2312yes—
169C2×#102C2312yes—
170C2×#102C2314yes—
171C2×#102C2312yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2311yescharacteristic
174C2×C22⋊C8C2311yescharacteristic
175C2×#97C2314yes—
176C2×C4×C8C2312yes—
177#399—22no—
178#399—22no—
179#398—22no—
180#397—22no—
181#396—22no—
182#394—22no—
183#391C2311yescharacteristic
184#390—21no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390C2312yes—
190#390C2312yes—
191#390C2312yes—
192#389—21no—
193#389—22no—
194#389—22no—
195#389—22no—
196#389C2314yes—
197#389C2311yescharacteristic
198#389C2312yes—
199#389C2312yes—
200#389C2314yes—
201#388—22no—
202#388—22no—
203#388—22no—
204#388—22no—
205#387—21no—
206#386—22no—
207#386—22no—
208#385—21no—
209#385—22no—
210#385—24no—
211#385—24no—
212#385—24no—
213#385—24no—
214#384—21no—
215#384—21no—
216#384—21no—
217#384—21no—
218#384C2311yescharacteristic
219#384C2312yes—
220#384C2312yes—
221#380—22no—
222#380—22no—
223#380—24no—
224#380—22no—
225#380C2311yescharacteristic
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4D411yescharacteristic
229C4×C4⋊C4D412yes—
230C4×C4⋊C4D411yescharacteristic
231C4×C4⋊C4C2311yescharacteristic
232C4×C4⋊C4C2311yescharacteristic
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2311yescharacteristic
235C4×C22⋊C4—21no—
236C2×#95—22no—
237C2×#95D412yes—
238#340C2314yes—
239#340C2314yes—
240#340C2312yes—
241#340C2314yes—
242#340C2312yes—
243#336C2312yes—
244#336C2314yes—
245#336C2314yes—
246#336C2312yes—
247C25—21no—
248C22×Q8C2411yescharacteristic
249C22×D4—24no—
250C22×D4—24no—
251C22×D4—22no—
252C22×D4—21no—
253C22×D4—21no—
254C22×D4—21no—
255C22×D4—22no—
256C22×D4C2×D414yes—
257C22×D4C2412yes—
258C22×D4C2412yes—
259C23×C4—28no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—24no—
265C23×C4—24no—
266C23×C4—22no—
267C23×C4—44no—
268C23×C4—48no—
269C23×C4—48no—
270C23×C4—44no—
271C23×C4—84no—
272C23×C4C2×D412yes—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4C2411yescharacteristic
277C2×SD16—24no—
278C2×SD16—24no—
279C2×SD16C2×D418yes—
280C2×D8—28no—
281C2×D8—28no—
282C2×D8—28no—
283C22×C8C2414yes—
284C22×C8C2412yes—
285C22×C8C2412yes—
286#127—24no—
287#126—48no—
288#125—24no—
289#125—42no—
290#124—24no—
291#124—42no—
292#123—48no—
293#123—84no—
294C22⋊Q8—22no—
295C22⋊Q8C2×D414yes—
296#121—24no—
297#121—24no—
298#121—44no—
299#121—82no—
300C4×Q8—24no—
301C4×Q8—24no—
302C4×Q8—42no—
303C4×D4—28no—
304C4×D4—28no—
305C4×D4—24no—
306C4×D4—24no—
307C4×D4—28no—
308C4×D4—28no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—42no—
314C4×D4—48no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318C4×D4#4118yes—
319#117—48no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—416no—
344C2×C4⋊C4—48no—
345C2×C4⋊C4—48no—
346C2×C4⋊C4—48no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—82no—
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D412yes—
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2×D411yescharacteristic
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2414yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2411yescharacteristic
359C2×C4⋊C4C2411yescharacteristic
360C2×C4⋊C4C2412yes—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—48no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42C2×D412yes—
386C2×C42C2×D412yes—
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2412yes—
390C2×C42C2412yes—
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393#107—28no—
394#107—44no—
395#106—28no—
396#106—24no—
397C4⋊C8—28no—
398C4⋊C8—24no—
399#103—28no—
400#103—24no—
401#102—28no—
402#102—24no—
403#102—24no—
404#102—28no—
405#102—28no—
406#102—44no—
407#102C2×D418yes—
408C22⋊C8—24no—
409C22⋊C8—22no—
410C22⋊C8C2×D414yes—
411#97—28no—
412C4×C8—24no—
413#95—24no—
414#95—24no—
415#95—21no—
416#95—21no—
417#95—22no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—22no—
422#95C2×D412yes—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426C24—24no—
427C24—24no—
428C24—24no—
429C24—22no—
430C24—22no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24C22×D411yescharacteristic
436C2×Q8—21no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8C22×D412yes—
440C2×D4—24no—
441C2×D4—24no—
442C2×D4—216no—
443C2×D4—216no—
444C2×D4—24no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—24no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—81no—
460C2×D4—81no—
461C2×D4C22×D414yes—
462C2×D4C2×#4114yes—
463C2×D42−1+414yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—28no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—28no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—41no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—432no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—82no—
504C22×C4—84no—
505C22×C4—84no—
506C22×C4—832no—
507C22×C4AGL(1,ℤ/8)14yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D412yes—
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4H(5,𝔽2)12yes—
519C22×C4C2511yescharacteristic
520SD16—216no—
521D8—416no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—24no—
530C2×C8C22×D414yes—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—21no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—42no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—81no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4—81no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4C22×D412yes—
564C4⋊C4C2×#4114yes—
565C22⋊C4—28no—
566C22⋊C4—24no—
567C22⋊C4—28no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—42no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C42—22no—
582C42—22no—
583C42—24no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—44no—
591C42—42no—
592C42—42no—
593C42C2×#4114yes—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—216no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—48no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—48no—
607C23—42no—
608C23—48no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23D4212yes—
620C23C2×AGL(1,ℤ/8)12yes—
621C23#57612yes—
622C23C23×D411yescharacteristic
623Q8—24no—
624Q8—42no—
625D4—216no—
626D4—24no—
627D4—24no—
628D4—24no—
629D4—44no—
630D4—44no—
631D4—88no—
632D4—84no—
633D4—162no—
634D4#54718yes—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—28no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—44no—
663C2×C4—416no—
664C2×C4—48no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—48no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—416no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—84no—
686C2×C4—88no—
687C2×C4—816no—
688C2×C4—816no—
689C2×C4—88no—
690C2×C4#52512yes—
691C2×C4#52512yes—
692C2×C4D4212yes—
693C2×C4C2×AGL(1,ℤ/8)12yes—
694C2×C4C2×AGL(1,ℤ/8)12yes—
695C2×C4#57512yes—
696C2×C4C23×D411yescharacteristic
697C2×C4C22×#4112yes—
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C2×C4C2×2−1+412yes—
700C8—24no—
701C8—44no—
702C8—42no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—28no—
710C22—432no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22#327414yes—
725C22C2×#52511yescharacteristic
726C22C2×D4211yescharacteristic
727C22#348611yescharacteristic
728C22C22×AGL(1,ℤ/8)11yescharacteristic
729C22C2×#57511yescharacteristic
730C22C2×#57611yescharacteristic
731C22#358611yescharacteristic
732C4—22no—
733C4—22no—
734C4—22no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—44no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—41no—
743C4—84no—
744C4—82no—
745C4—81no—
746C4—81no—
747C4#311414yescomplemented
748C4C2×#54712yes—
749C4#349212yes—
750C2—24no—
751C2—48no—
752C2—162no—
753C2#3610311yescharacteristic
754C2C2×#311411yescharacteristic
755C2#6058411yescharacteristic
756C2C2×#327411yescharacteristic
757C2#6106711yescharacteristic
758C2#6182711yescharacteristic
759C2#6183511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#32902C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3114C2semidirect
2. #36117C2semidirect
3. C2×D4×C4⋊C4C2semidirect
4. #33002C2semidirect
6. #27909C2semidirect
7. #27647C2semidirect
8. #26390C2semidirect
9. #26188C2semidirect
10. #26041C2semidirect
11. #24731C2semidirect
12. #24608C2semidirect
13. #24066C2semidirect
14. #23001C2semidirect
15. #22671C2semidirect
16. #22603C2semidirect
17. C4×#450C2semidirect
37. #2552C22semidirect
38. #2548C22semidirect
42. #2454C22semidirect
43. #2448C22semidirect
45. #2366C22semidirect
48. Q8×C4⋊C4C22semidirect
61. #2093C22semidirect
62. #2087C22semidirect
63. #2084C22semidirect
64. #2072C22semidirect
65. #2065C22semidirect
66. #2059C22semidirect
67. #2042C22semidirect
68. #1957C22semidirect
69. #1948C22semidirect
70. #1944C22semidirect
71. #1939C22semidirect
72. #1936C22semidirect
73. #1917C22semidirect
81. #1864C22semidirect
82. #1863C22semidirect
86. #1845C22semidirect
89. #1803C22semidirect
93. #1770C22semidirect
151. #450D4semidirect
747. C4#3114semidirect

Maximal subgroups

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

subgroupindex
C2×#31142
#361172
C2×D4×C4⋊C42
#330022
#329022
#279092
#276472
#263902
#261882
#260412
#247312
#246082
#240662
#230012
#226712
#226032
C4×#4502